Finite Group Databasebeta

← #30588535

Subgroups — #30588535

Order 15616.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459922C212yesmaximal, complemented
2#21459885C212yesmaximal, complemented
3#21459883C214yesmaximal, complemented
4#21459806C212yesmaximal, complemented
5#21459757C212yesmaximal, complemented
6#21459755C214yesmaximal, complemented
7#21459740C211yesmaximal, characteristic, complemented
8#21459738C212yesmaximal, complemented
9#21459714C211yesmaximal, characteristic, complemented
10#21459711C212yesmaximal, complemented
11#21459642C211yesmaximal, characteristic, complemented
12#21459611C211yesmaximal, characteristic, complemented
13#21459574C211yesmaximal, characteristic, complemented
14#21459569C212yesmaximal, complemented
15#21459551C211yesmaximal, characteristic, complemented
16#21459546C212yesmaximal, complemented
17#21459494C211yesmaximal, characteristic, complemented
18#21459486C211yesmaximal, characteristic, complemented
19#21459432C212yesmaximal, complemented
20#21459427C212yesmaximal, complemented
21#21459421C214yesmaximal, complemented
22#21459416C212yesmaximal, complemented
23#21459379C214yesmaximal, complemented
24#21459375C212yesmaximal, complemented
25#21459246C211yesmaximal, characteristic, complemented
26#21459244C212yesmaximal, complemented
27#21459233C212yesmaximal, complemented
28#21459114C212yesmaximal, complemented
29#21459112C211yesmaximal, characteristic, complemented
30C2×#16840294C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32C4×#14519824C211yesmaximal, characteristic, complemented
33C4×#14519822C211yesmaximal, characteristic, complemented
34C4×#41×D61C211yesmaximal, characteristic, complemented
35C61×#3460C211yesmaximal, characteristic, complemented
36C2×#14519824C2211yescharacteristic
37C2×#14519822C2211yescharacteristic
38C2×#41×D61C2211yescharacteristic
39#16840498C2212yescomplemented
40#16840498C2212yescomplemented
41#16840496C2214yescomplemented
42#16840494C2214yescomplemented
43#16840489C2212yescomplemented
44#16840487C2212yescomplemented
45#16840486C2212yescomplemented
46#16840483C2214yescomplemented
47#16840481C2212yescomplemented
48#16840481C2212yescomplemented
49#16840481C2214yescomplemented
50#16840479C2214yescomplemented
51#16840476C2214yescomplemented
52#16840476C2212yescomplemented
53#16840473C2212yescomplemented
54#16840473C2212yescomplemented
55#16840470C2214yescomplemented
56#16840468C2212yescomplemented
57#16840466C2214yescomplemented
58#16840466C2214yescomplemented
59#16840464C2214yescomplemented
60#16840464C2212yescomplemented
61#16840464C2212yescomplemented
62#16840459C2214yescomplemented
63#16840459C2214yescomplemented
64#16840459C2212yescomplemented
65#16840459C2212yescomplemented
66#16840457C2214yescomplemented
67#16840457C2214yescomplemented
68#16840457C2214yescomplemented
69#16840455C2214yescomplemented
70#16840455C2214yescomplemented
71#16840455C2214yescomplemented
72#16840455C2214yescomplemented
73#16840454C2212yescomplemented
74#16840454C2214yescomplemented
75#16840450C2212yescomplemented
76#16840450C2212yescomplemented
77#16840449C2214yescomplemented
78#16840449C2214yescomplemented
79#16840449C2214yescomplemented
80#16840448C2214yescomplemented
81#16840448C2214yescomplemented
82#16840446C2212yescomplemented
83#16840446C2214yescomplemented
84#16840443C2214yescomplemented
85#16840443C2214yescomplemented
86#16840443C2214yescomplemented
87#16840442C2214yescomplemented
88#16840442C2214yescomplemented
89#16840440C2214yescomplemented
90#16840440C2214yescomplemented
91#16840439C2214yescomplemented
92#16840439C2214yescomplemented
93#16840437C2214yescomplemented
94#16840435C2214yescomplemented
95#16840435C2214yescomplemented
96#16840432C2212yes—
97#16840425C2212yescomplemented
98#16840420C2212yes—
99#16840418C2212yescomplemented
100#16840418C2212yescomplemented
101#16840418C2212yescomplemented
102#16840414C2212yescomplemented
103#16840412C2214yescomplemented
104#16840412C2212yescomplemented
105#16840410C2214yescomplemented
106#16840409C2212yescomplemented
107#16840409C2214yescomplemented
108#16840409C2212yescomplemented
109#16840409C2212yescomplemented
110#16840405C2212yes—
111#16840401C2214yescomplemented
112#16840401C2214yescomplemented
113#16840399C2214yes—
114#16840399C2214yescomplemented
115#16840399C2214yescomplemented
116#16840399C2214yescomplemented
117#16840397C2212yes—
118#16840394C2214yes—
119#16840392C2212yescomplemented
120#16840390C2211yescharacteristic, complemented
121#16840389C2212yescomplemented
122#16840386C2212yescomplemented
123#16840383C2212yescomplemented
124#16840381C2212yescomplemented
125#16840380C2214yescomplemented
126#16840379C2212yescomplemented
127#16840379C2212yescomplemented
128#16840377C2212yescomplemented
129#16840376C2214yescomplemented
130#16840375C2212yescomplemented
131#16840374C2212yescomplemented
132#16840372C2212yescomplemented
133#16840370C2212yescomplemented
134#16840369C2214yescomplemented
135#16840366C2212yescomplemented
136#16840365C2212yescomplemented
137#16840362C2214yescomplemented
138#16840355C2214yescomplemented
139#16840354C2214yescomplemented
140#16840353C2214yescomplemented
141#16840346C2214yescomplemented
142#16840344C2214yescomplemented
143#16840341C2212yes—
144#16840341C2212yescomplemented
145#16840340C2211yescharacteristic
146#16840338C2211yescharacteristic, complemented
147#16840335C2212yescomplemented
148#16840333C2211yescharacteristic, complemented
149#16840332C2212yescomplemented
150#16840328C2212yes—
151#16840325C2212yescomplemented
152#16840319C2212yescomplemented
153#16840317C2212yescomplemented
154#16840317C2212yescomplemented
155#16840316C2211yescharacteristic, complemented
156#16840316C2212yescomplemented
157#16840316C2211yescharacteristic, complemented
158#16840315C2211yescharacteristic, complemented
159#16840315C2214yescomplemented
160#16840310C2212yescomplemented
161#16840310C2212yescomplemented
162#16840309C2211yescharacteristic, complemented
163#16840309C2211yescharacteristic, complemented
164#16840308C2211yescharacteristic, complemented
165#16840308C2214yescomplemented
166#16840299C2211yescharacteristic, complemented
167#16840299C2211yescharacteristic, complemented
168#16840298C2212yescomplemented
169#16840297C2212yescomplemented
170#16840296C2212yescomplemented
171#16840295C2214yescomplemented
172#16840294C2211yescharacteristic, complemented
173#16840294C2212yescomplemented
174#16840294C2212yescomplemented
175#16840294C2214yescomplemented
176#16840294C2212yescomplemented
177#16840294C2212yescomplemented
178#16840294C2212yescomplemented
179#16840294C2212yescomplemented
180#16840294C2212yescomplemented
181#16840294C2212yescomplemented
182#16840294C2212yescomplemented
183#16840294C2211yescharacteristic, complemented
184#16840294C2214yescomplemented
185#16840293C2212yescomplemented
186#16840293C2212yescomplemented
187#16840293C2212yescomplemented
188#16840293C2214yescomplemented
189#16840292C2214yescomplemented
190#16840292C2214yescomplemented
191#16840292C2214yescomplemented
192#16840292C2214yescomplemented
193#16840292C2212yescomplemented
194#16840292C2212yescomplemented
195#16840291C2214yescomplemented
196#16840291C2212yescomplemented
197#16840291C2214yescomplemented
198#16840290C2214yescomplemented
199#16840290C2212yescomplemented
200#16840290C2214yescomplemented
201#16840290C2212yescomplemented
202#16840289C2214yescomplemented
203C2×#14519770C2212yescomplemented
204#126×D61C2214yescomplemented
205C2×#14519768C2211yescharacteristic, complemented
206#125×D61C2212yescomplemented
207C2×#14519764C2211yescharacteristic, complemented
208#124×D61C2212yescomplemented
209#16840274C2211yescharacteristic
210#16840272C2212yes—
211#16840272C2212yescomplemented
212#16840272C2214yescomplemented
213#16840271C2214yescomplemented
214#16840271C2212yescomplemented
215#16840271C2212yescomplemented
216#16840269C2214yescomplemented
217#16840269C2211yescharacteristic, complemented
218#16840269C2214yescomplemented
219C2×#14519759C2212yescomplemented
220#123×D61C2214yescomplemented
221C2×#14519757C2211yescharacteristic, complemented
222C22⋊Q8×D61C2212yescomplemented
223C2×#14519748C2211yescharacteristic
224#121×D61C2212yes—
225#16840245C2211yescharacteristic, complemented
226#16840243C2211yescharacteristic
227#16840243C2211yescharacteristic, complemented
228#16840242C2211yescharacteristic
229#16840242C2212yescomplemented
230#16840241C2212yescomplemented
231#16840241C2212yescomplemented
232#16840241C2214yescomplemented
233#16840241C2212yescomplemented
234#16840239C2211yescharacteristic, complemented
235#16840239C2212yescomplemented
236#16840238C2212yescomplemented
237#16840237C2211yescharacteristic, complemented
238#16840235C2214yescomplemented
239#16840234C2212yescomplemented
240#16840234C2212yescomplemented
241#41×Dic61C2211yescharacteristic, complemented
242#41×Dic61C2214yescomplemented
243C4×#11758226C2211yescharacteristic, complemented
244C4×#11758226C2211yescharacteristic, complemented
245C4×#11758222C2211yescharacteristic
246C4×#11758222C2212yescomplemented
247C4×#11758222C2211yescharacteristic, complemented
248C4×#11758222C2212yescomplemented
249C4×#11758222C2212yescomplemented
250C4×#11758222C2212yescomplemented
251#16840230C2211yescharacteristic
252#16840230C2212yescomplemented
253C4×#11758224C2212yescomplemented
254C4×#11758224C2212yescomplemented
255C4×#11758224C2212yescomplemented
256C4×#11758224C2212yescomplemented
257C4×#11758224C2211yescharacteristic, complemented
258C4×#11758224C2211yescharacteristic, complemented
259C4×#11758224C2212yescomplemented
260C4×#11758224C2214yescomplemented
261C4×#11758224C2214yescomplemented
262C2×C4×Dic122C2211yescharacteristic, complemented
263C2×C4×Dic122C2212yescomplemented
264C4×Q8×D61C2212yescomplemented
265C4×Q8×D61C2211yescharacteristic, complemented
266C4×Q8×D61C2211yescharacteristic, complemented
267C2×C4×C22⋊D61C2214yescomplemented
268C2×C4×C22⋊D61C2212yescomplemented
269C4×D4×D61C2212yescomplemented
270C4×D4×D61C2212yescomplemented
271C4×D4×D61C2211yescharacteristic, complemented
272C4×D4×D61C2212yescomplemented
273C4×D4×D61C2211yescharacteristic, complemented
274C4×D4×D61C2212yescomplemented
275C4×D4×D61C2214yescomplemented
276C2×#14519736C2212yescomplemented
277#117×D61C2212yescomplemented
278#117×D61C2211yescharacteristic, complemented
279#117×D61C2214yescomplemented
280C2×C42×D61C2212yescomplemented
281C2×C42×D61C2211yescharacteristic, complemented
282C61×#544C2211yescharacteristic, complemented
283C61×#542C2212yescomplemented
284C61×#542C2212yescomplemented
285C61×#540C2212yescomplemented
286C61×#540C2212yescomplemented
287C61×#538C2214yescomplemented
288C61×#537C2211yescharacteristic, complemented
289C61×#535C2211yescharacteristic
290C61×#535C2211yescharacteristic, complemented
291C61×#532C2212yescomplemented
292C61×#532C2212yescomplemented
293C61×#529C2212yescomplemented
294C61×#529C2212yescomplemented
295C61×#525C2214yescomplemented
296C4×#41×C61C2211yescharacteristic, complemented
297C4×#41×C61C2211yescharacteristic, complemented
298C2×C4×D4×C61C2211yescharacteristic, complemented
299#14519824—28no—
300#14519822—28no—
301C2×#11758226C2311yescharacteristic
302C2×#11758222C2312yes—
303C2×#11758222C2312yes—
304C2×#11758222C2311yescharacteristic
305C2×#11758222C2312yes—
306C2×#11758222C2312yes—
307C2×#11758222C2311yescharacteristic
308C2×#11758224C2312yes—
309C2×#11758224C2311yescharacteristic
310C2×#11758224C2312yes—
311C2×#11758224C2312yes—
312C2×#11758224C2312yes—
313C2×#11758224C2314yes—
314C2×#11758224C2314yes—
315#41×D61—28no—
316C22×Dic122C2311yescharacteristic
317C22×Dic122C2312yes—
318C2×Q8×D61C2311yescharacteristic
319C2×Q8×D61C2312yes—
320C22×C22⋊D61C2314yes—
321C22×C22⋊D61C2312yes—
322C2×D4×D61C2312yes—
323C2×D4×D61C2311yescharacteristic
324C2×D4×D61C2312yes—
325C2×D4×D61C2312yes—
326C2×D4×D61C2314yes—
327C22×C4×D61C2312yes—
328C22×C4×D61C2311yescharacteristic
329C22×C4×D61C2312yes—
330C22×C4×D61C2311yescharacteristic
331C22×C4×D61C2312yes—
332C22×C4×D61C2311yescharacteristic
333C22×C4×D61C2314yes—
334#14519777C2312yes—
335#14519777C2312yes—
336#14519776C2312yes—
337#14519776C2314yes—
338#14519776C2314yes—
339#14519776C2311yescharacteristic
340#14519776C2311yescharacteristic
341#14519775C2314yes—
342#14519775C2312yes—
343#14519775C2311yescharacteristic
344#14519773C2314yes—
345#14519773C2311yescharacteristic
346#14519772C2314yes—
347#14519772C2314yes—
348#14519772C2314yes—
349#14519772C2314yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2312yes—
353#14519772C2312yes—
354#14519771C2314yes—
355#14519770C2314yes—
356#14519770C2314yes—
357#14519770C2312yes—
358#14519770C2314yes—
359#14519770C2314yes—
360#14519770C2314yes—
361#14519770C2314yes—
362#14519770C2314yes—
363#14519770C2314yes—
364#14519770C2314yes—
365#14519770C2314yes—
366#14519770C2314yes—
367#14519770C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2314yes—
371#14519770C2312yes—
372#14519769C2312yes—
373#14519769C2314yes—
374#14519768C2314yes—
375#14519768C2314yes—
376#14519768C2314yes—
377#14519768C2314yes—
378#14519768C2312yes—
379#14519768C2312yes—
380#14519768C2312yes—
381#14519768C2311yescharacteristic
382#14519768C2312yes—
383#14519768C2312yes—
384#14519768C2311yescharacteristic
385#14519767C2314yes—
386#14519767C2314yes—
387#14519767C2314yes—
388#14519767C2312yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519767C2314yes—
393#14519767C2312yes—
394#14519766C2314yes—
395#14519766C2311yescharacteristic
396#14519765C2312yes—
397#14519764C2314yes—
398#14519764C2314yes—
399#14519764C2312yes—
400#14519764C2312yes—
401#14519764C2314yes—
402#14519764C2312yes—
403#14519764C2312yes—
404#14519764C2312yes—
405#14519764C2311yescharacteristic
406#14519763C2312yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519763C2314yes—
411#14519763C2314yes—
412#14519763C2314yes—
413#14519763C2312yes—
414#14519762C2314yes—
415#14519762C2314yes—
416#14519762C2312yes—
417#14519762C2312yes—
418#14519762C2314yes—
419#14519761C2312yes—
420#14519761C2314yes—
421#14519761C2314yes—
422#14519761C2314yes—
423#14519761C2314yes—
424#14519760C2314yes—
425#14519759C2314yes—
426#14519759C2314yes—
427#14519759C2314yes—
428#14519759C2314yes—
429#14519759C2312yes—
430#14519759C2314yes—
431#14519759C2314yes—
432#14519759C2314yes—
433#14519759C2314yes—
434#14519759C2314yes—
435#14519759C2312yes—
436#14519759C2314yes—
437#14519759C2314yes—
438#14519759C2314yes—
439#14519758C2314yes—
440#14519758C2314yes—
441#14519758C2314yes—
442#14519758C2314yes—
443#14519758C2314yes—
444#14519758C2314yes—
445#14519758C2314yes—
446#14519758C2312yes—
447#14519758C2314yes—
448#14519757C2312yes—
449#14519757C2312yes—
450#14519757C2312yes—
451#14519757C2314yes—
452#14519757C2314yes—
453#14519757C2312yes—
454#14519757C2312yes—
455#14519757C2312yes—
456#14519757C2311yescharacteristic
457#14519757C2311yescharacteristic
458#14519756C2312yes—
459#14519756C2312yes—
460#14519756C2312yes—
461#14519756C2314yes—
462#14519755C2314yes—
463#14519755C2314yes—
464#14519755C2312yes—
465#14519755C2314yes—
466#14519755C2314yes—
467#14519755C2312yes—
468#14519754C2314yes—
469#14519754C2314yes—
470#14519754C2314yes—
471#14519754C2314yes—
472#14519754C2314yes—
473#14519754C2312yes—
474#14519754C2314yes—
475#14519754C2314yes—
476#14519754C2312yes—
477#14519754C2314yes—
478#14519754C2314yes—
479#14519753C2314yes—
480#14519753C2312yes—
481#14519753C2314yes—
482#14519753C2314yes—
483#14519753C2314yes—
484#14519753C2311yescharacteristic
485#14519753C2311yescharacteristic
486#14519752C2311yescharacteristic
487#14519752C2311yescharacteristic
488#14519751C2312yes—
489#14519750C2312yes—
490#14519750C2314yes—
491#14519750C2314yes—
492#14519750C2314yes—
493#14519750C2312yes—
494#14519749C2314yes—
495#14519749C2312yes—
496#14519749C2314yes—
497#14519749C2314yes—
498#14519749C2314yes—
499#14519749C2314yes—
500#14519749C2314yes—
501#14519749C2314yes—
502#14519749C2314yes—
503#14519749C2312yes—
504#14519749C2314yes—
505#14519748C2314yes—
506#14519748C2314yes—
507#14519748C2314yes—
508#14519748C2314yes—
509#14519748C2314yes—
510#14519748C2314yes—
511#14519748C2312yes—
512#14519748C2312yes—
513#14519748C2312yes—
514#14519748C2312yes—
515#14519748C2312yes—
516#14519748C2311yescharacteristic
517#14519748C2311yescharacteristic
518#14519747C2312yes—
519#14519747C2314yes—
520#14519745C2312yes—
521#14519745C2314yes—
522#14519745C2314yes—
523#14519745C2314yes—
524#14519745C2314yes—
525#14519745C2314yes—
526Q8×Dic61C2311yescharacteristic
527Q8×Dic61C2314yes—
528Q8×Dic61C2314yes—
529Q8×Dic61C2311yescharacteristic
530Q8×Dic61C2312yes—
531C4×Dic122C2312yes—
532C4×Dic122C2314yes—
533C4×Dic122C2312yes—
534C4×Dic122C2312yes—
535C4×Dic122C2312yes—
536C4×Dic122C2312yes—
537C4×Dic122C2311yescharacteristic
538C4×Dic122C2314yes—
539C4×Dic122C2312yes—
540C4×Dic122C2311yescharacteristic
541C4×Dic122C2312yes—
542C4×Dic122C2312yes—
543C4×Dic122C2312yes—
544C4×Dic122C2312yes—
545C4×Dic122C2312yes—
546C4×Dic122C2312yes—
547C4×Dic122C2311yescharacteristic
548C4×Dic122C2314yes—
549C4×Dic122C2311yescharacteristic
550C4×Dic122C2312yes—
551#14519742C2312yes—
552#14519742C2312yes—
553#14519742C2314yes—
554#14519742C2314yes—
555#14519742C2311yescharacteristic
556#14519742C2311yescharacteristic
557#14519742C2314yes—
558#14519742C2312yes—
559#14519742C2312yes—
560#14519742C2312yes—
561#14519742C2312yes—
562C4×D244C2312yes—
563C4×D244C2312yes—
564C4×D244C2312yes—
565C4×D244C2311yescharacteristic
566C4×D244C2312yes—
567C4×D244C2311yescharacteristic
568C4×D244C2311yescharacteristic
569C4×D244C2312yes—
570C4×D244C2312yes—
571C4×D244C2311yescharacteristic
572C4×D244C2312yes—
573D4×Dic61C2314yes—
574D4×Dic61C2314yes—
575D4×Dic61C2314yes—
576D4×Dic61C2312yes—
577D4×Dic61C2314yes—
578D4×Dic61C2314yes—
579D4×Dic61C2314yes—
580D4×Dic61C2314yes—
581D4×Dic61C2314yes—
582D4×Dic61C2311yescharacteristic
583D4×Dic61C2312yes—
584D4×Dic61C2311yescharacteristic
585D4×Dic61C2312yes—
586D4×Dic61C2312yes—
587D4×Dic61C2312yes—
588D4×Dic61C2312yes—
589D4×Dic61C2312yes—
590D4×Dic61C2314yes—
591#14519739C2312yes—
592#14519739C2312yes—
593#14519739C2314yes—
594#14519739C2311yescharacteristic
595#14519739C2312yes—
596#14519739C2311yescharacteristic
597#14519739C2312yes—
598C4×C22⋊D61C2314yes—
599C4×C22⋊D61C2312yes—
600C4×C22⋊D61C2312yes—
601C4×C22⋊D61C2312yes—
602C4×C22⋊D61C2314yes—
603C4×C22⋊D61C2314yes—
604C4×C22⋊D61C2314yes—
605C4×C22⋊D61C2314yes—
606C4×C22⋊D61C2314yes—
607C4×C22⋊D61C2312yes—
608C4×C22⋊D61C2312yes—
609C4×C22⋊D61C2312yes—
610C4×C22⋊D61C2314yes—
611C4×C22⋊D61C2312yes—
612C4×C22⋊D61C2314yes—
613C4×C22⋊D61C2314yes—
614C4×C22⋊D61C2314yes—
615C4×C22⋊D61C2312yes—
616C4×C22⋊D61C2312yes—
617C4×C22⋊D61C2312yes—
618C4×C22⋊D61C2312yes—
619C4×C22⋊D61C2312yes—
620C4×C22⋊D61C2314yes—
621C4×C22⋊D61C2312yes—
622C4×C22⋊D61C2314yes—
623C4×C22⋊D61C2314yes—
624C4×C22⋊D61C2312yes—
625C4×C22⋊D61C2312yes—
626C4×C22⋊D61C2312yes—
627#14519737C2314yes—
628#14519737C2314yes—
629#14519737C2312yes—
630#14519737C2312yes—
631#14519737C2314yes—
632#14519737C2314yes—
633#14519737C2314yes—
634#14519737C2314yes—
635#14519737C2312yes—
636#14519737C2312yes—
637#14519737C2314yes—
638#14519737C2312yes—
639#14519737C2314yes—
640#14519737C2312yes—
641#14519737C2314yes—
642#14519737C2314yes—
643#14519737C2314yes—
644#14519736C2312yes—
645#14519736C2314yes—
646#14519736C2314yes—
647#14519736C2312yes—
648#14519736C2314yes—
649#14519736C2311yescharacteristic
650#14519736C2312yes—
651#14519736C2314yes—
652#14519736C2312yes—
653#14519736C2311yescharacteristic
654#14519736C2314yes—
655#14519735C2312yes—
656#14519735C2314yes—
657#14519735C2311yescharacteristic
658#14519735C2312yes—
659#14519735C2314yes—
660#14519735C2311yescharacteristic
661#14519735C2314yes—
662#14519735C2312yes—
663#14519735C2312yes—
664#14519735C2312yes—
665#14519735C2314yes—
666#14519734C2312yes—
667#14519734C2314yes—
668#14519734C2312yes—
669#14519734C2312yes—
670#14519734C2312yes—
671#14519734C2312yes—
672#14519734C2314yes—
673#14519734C2312yes—
674#14519734C2312yes—
675#14519734C2312yes—
676#14519733C2314yes—
677#14519733C2314yes—
678#14519733C2312yes—
679#14519733C2314yes—
680#14519733C2314yes—
681#14519733C2314yes—
682#14519733C2312yes—
683#14519733C2314yes—
684#14519733C2312yes—
685#14519733C2314yes—
686#14519733C2314yes—
687#14519733C2314yes—
688C2×C4⋊Dic61C2312yes—
689C2×C4⋊Dic61C2312yes—
690C2×C4⋊Dic61C2312yes—
691C2×C4⋊Dic61C2311yescharacteristic
692C2×#11758196C2314yes—
693C2×#11758196C2314yes—
694C2×#11758196C2312yes—
695C2×#11758196C2312yes—
696C4⋊C4×D61C2312yes—
697C4⋊C4×D61C2314yes—
698C4⋊C4×D61C2311yescharacteristic
699C4⋊C4×D61C2312yes—
700C4⋊C4×D61C2312yes—
701C4⋊C4×D61C2314yes—
702C4⋊C4×D61C2314yes—
703C4⋊C4×D61C2311yescharacteristic
704C4⋊C4×D61C2312yes—
705C4⋊C4×D61C2312yes—
706C4⋊C4×D61C2314yes—
707C2×C22⋊Dic61C2312yes—
708C2×C22⋊Dic61C2312yes—
709C2×C22⋊Dic61C2314yes—
710C2×C22⋊Dic61C2312yes—
711C2×#11758198C2314yes—
712C2×#11758198C2312yes—
713C22⋊C4×D61C2312yes—
714C22⋊C4×D61C2312yes—
715C22⋊C4×D61C2312yes—
716C22⋊C4×D61C2314yes—
717C22⋊C4×D61C2314yes—
718C22⋊C4×D61C2314yes—
719C22⋊C4×D61C2314yes—
720C22⋊C4×D61C2314yes—
721C22⋊C4×D61C2314yes—
722C2×C4×Dic61C2311yescharacteristic
723C2×C4×Dic61C2312yes—
724C2×C4×Dic61C2311yescharacteristic
725C2×C4×Dic61C2312yes—
726C2×C4×Dic61C2311yescharacteristic
727C2×C4×Dic61C2312yes—
728C2×C4×Dic61C2312yes—
729C2×C4×Dic61C2314yes—
730C2×C4×Dic61C2314yes—
731C42×D61C2311yescharacteristic
732C42×D61C2312yes—
733C42×D61C2312yes—
734C42×D61C2311yescharacteristic
735C42×D61C2312yes—
736C42×D61C2312yes—
737C42×D61C2311yescharacteristic
738C42×D61C2311yescharacteristic
739C42×D61C2312yes—
740C42×D61C2311yescharacteristic
741C42×D61C2312yes—
742C42×D61C2311yescharacteristic
743C42×D61C2312yes—
744C42×D61C2311yescharacteristic
745C42×D61C2311yescharacteristic
746C42×D61C2314yes—
747C42×D61C2312yes—
748C2×#41×C61C2311yescharacteristic
749C2×#41×C61C2311yescharacteristic
750C2×#41×C61C2314yes—
751C22×D4×C61C2311yescharacteristic
752C23×C4×C61C2312yes—
753C4⋊Q8×C61C2312yes—
754C4⋊Q8×C61C2312yes—
755#127×C61C2312yes—
756#127×C61C2312yes—
757#126×C61C2314yes—
758#126×C61C2314yes—
759#125×C61C2312yes—
760#125×C61C2312yes—
761#124×C61C2314yes—
762#124×C61C2314yes—
763#124×C61C2312yes—
764#124×C61C2312yes—
765#123×C61C2314yes—
766#123×C61C2314yes—
767#123×C61C2314yes—
768#123×C61C2314yes—
769C22⋊Q8×C61C2312yes—
770C22⋊Q8×C61C2314yes—
771C22⋊Q8×C61C2312yes—
772C22⋊Q8×C61C2314yes—
773#121×C61C2312yes—
774#121×C61C2312yes—
775#121×C61C2312yes—
776#121×C61C2312yes—
777#121×C61C2314yes—
778#121×C61C2314yes—
779#121×C61C2312yes—
780#121×C61C2312yes—
781#121×C61C2314yes—
782#121×C61C2314yes—
783#120×C61C2314yes—
784#120×C61C2314yes—
785C4×Q8×C61C2311yescharacteristic
786C4×Q8×C61C2311yescharacteristic
787C4×Q8×C61C2311yescharacteristic
788C4×Q8×C61C2311yescharacteristic
789C4×D4×C61C2311yescharacteristic
790C4×D4×C61C2311yescharacteristic
791C4×D4×C61C2312yes—
792C4×D4×C61C2312yes—
793C4×D4×C61C2314yes—
794C4×D4×C61C2314yes—
795C4×D4×C61C2312yes—
796C4×D4×C61C2312yes—
797C4×D4×C61C2311yescharacteristic
798C4×D4×C61C2311yescharacteristic
799C4×D4×C61C2312yes—
800C4×D4×C61C2312yes—
801C4×D4×C61C2312yes—
802C4×D4×C61C2312yes—
803#117×C61C2311yescharacteristic
804#117×C61C2311yescharacteristic
805#117×C61C2312yes—
806#117×C61C2312yes—
807#117×C61C2314yes—
808C2×C4⋊C4×C61C2311yescharacteristic
809C2×C22⋊C4×C61C2312yes—
810C2×C42×C61C2312yes—
811C2×C42×C61C2312yes—
812C2×C42×C61C2311yescharacteristic
813C24×C61C2412yes—
814C23×D61C2412yes—
815C23×D61C2411yescharacteristic
816C23×D61C2414yes—
817#41×C61—24no—
818#41×C61—24no—
819#41×C61—48no—
820C2×Q8×C61C2411yescharacteristic
821C2×Q8×C61C2411yescharacteristic
822C2×Q8×C61C2414yes—
823C2×D4×C61—24no—
824C2×D4×C61C2412yes—
825C2×D4×C61C2412yes—
826C2×D4×C61C2412yes—
827C2×D4×C61C2411yescharacteristic
828C2×D4×C61C2412yes—
829C2×D4×C61C2411yescharacteristic
830C2×D4×C61C2414yes—
831C2×D4×C61C2414yes—
832C2×D4×C61C2414yes—
833C2×D4×C61C2414yes—
834C2×D4×C61C2414yes—
835C22×C4×C61—44no—
836C22×C4×C61C2412yes—
837C22×C4×C61C2411yescharacteristic
838C22×C4×C61C2412yes—
839C22×C4×C61C2414yes—
840C22×C4×C61C2412yes—
841C22×C4×C61C2412yes—
842C22×C4×C61C2411yescharacteristic
843C22×C4×C61C2412yes—
844C22×C4×C61C2412yes—
845C22×C4×C61C2412yes—
846C22×C4×C61C2414yes—
847C22×C4×C61C2411yescharacteristic
848C2×C22⋊D61—216no—
849C2×C22⋊D61—44no—
850C2×C22⋊D61C2414yes—
851C2×C22⋊D61C2414yes—
852C2×C22⋊D61C2414yes—
853C2×C22⋊D61C2412yes—
854C2×C22⋊D61C2412yes—
855C2×C22⋊D61C2412yes—
856C2×C22⋊D61C2414yes—
857C2×C22⋊D61C2412yes—
858C2×C22⋊D61C2414yes—
859C2×C22⋊D61C2414yes—
860C2×C22⋊D61C2412yes—
861C2×C22⋊D61C2412yes—
862C2×C22⋊D61C2412yes—
863C2×C22⋊D61C2412yes—
864C22×Dic61C2411yescharacteristic
865C22×Dic61C2412yes—
866C22×Dic61C2414yes—
867C22×Dic61C2412yes—
868C22×Dic61C2414yes—
869C22×Dic61C2411yescharacteristic
870C22×Dic61C2411yescharacteristic
871C22×Dic61C2412yes—
872C22×Dic61C2412yes—
873C22×Dic61C2414yes—
874C22×Dic61C2412yes—
875C22×Dic61C2414yes—
876C22×Dic61C2414yes—
877#11758226—24no—
878Q8×D61—28no—
879Q8×D61—24no—
880#11758224—28no—
881#11758224—216no—
882#11758224—28no—
883#11758224—28no—
884#11758224—24no—
885#11758224—28no—
886#11758224—48no—
887D4×D61—28no—
888D4×D61—24no—
889D4×D61—28no—
890D4×D61—28no—
891D4×D61—48no—
892#11758222—24no—
893#11758222—28no—
894#11758222—28no—
895#11758222—44no—
896#11758222—44no—
897#11758222#4118yescomplemented
898C2×D244C2412yes—
899C2×D244C2411yescharacteristic
900C2×D244C2412yes—
901C2×D244C2412yes—
902C2×D244C2411yescharacteristic
903C2×C4×D61—24no—
904C2×C4×D61—28no—
905C2×C4×D61—44no—
906C2×C4×D61—48no—
907C2×C4×D61—42no—
908C2×C4×D61—42no—
909C2×C4×D61—44no—
910C2×C4×D61C2412yes—
911C2×C4×D61C2411yescharacteristic
912C2×C4×D61C2411yescharacteristic
913C2×C4×D61C2411yescharacteristic
914C2×C4×D61C2412yes—
915C2×C4×D61C2412yes—
916C2×C4×D61C2411yescharacteristic
917C2×C4×D61C2412yes—
918C2×C4×D61C2412yes—
919C2×C4×D61C2411yescharacteristic
920C2×C4×D61C2411yescharacteristic
921C2×C4×D61C2411yescharacteristic
922C2×C4×D61C2411yescharacteristic
923C2×C4×D61C2412yes—
924C2×C4×D61C2414yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2412yes—
928C2×C4×D61C2412yes—
929C2×C4×D61C2411yescharacteristic
930C2×C4×D61C2411yescharacteristic
931C2×C4×D61C2411yescharacteristic
932C2×C4×D61C2411yescharacteristic
933C2×C4×D61C2414yes—
934C2×C4×D61C2414yes—
935C2×C4×D61C2414yes—
936C2×C4×D61C2412yes—
937C2×C4×D61C2412yes—
938C2×Dic122—24no—
939C2×Dic122—28no—
940C2×Dic122C2414yes—
941C2×Dic122C2412yes—
942C2×Dic122C2412yes—
943C2×Dic122C2412yes—
944C2×Dic122C2411yescharacteristic
945C2×Dic122C2414yes—
946C2×Dic122C2412yes—
947C2×Dic122C2412yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2412yes—
950C4⋊C4×C61C2412yes—
951C4⋊C4×C61C2411yescharacteristic
952C4⋊C4×C61C2411yescharacteristic
953C4⋊C4×C61C2411yescharacteristic
954C4⋊C4×C61C2411yescharacteristic
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2412yes—
957C4⋊C4×C61C2412yes—
958C4⋊C4×C61C2412yes—
959C4⋊C4×C61C2414yes—
960C4⋊C4×C61C2414yes—
961C4⋊C4×C61C2414yes—
962C4⋊C4×C61C2414yes—
963C22⋊C4×C61C2414yes—
964C22⋊C4×C61C2414yes—
965C22⋊C4×C61C2412yes—
966C22⋊C4×C61C2412yes—
967C22⋊C4×C61C2412yes—
968C22⋊C4×C61C2412yes—
969C22⋊C4×C61C2412yes—
970C22⋊C4×C61C2412yes—
971C22⋊C4×C61C2414yes—
972C22⋊C4×C61C2414yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2414yes—
975C22⋊C4×C61C2414yes—
976C22⋊C4×C61C2414yes—
977C42×C61C2411yescharacteristic
978C42×C61C2411yescharacteristic
979C42×C61C2411yescharacteristic
980C42×C61C2411yescharacteristic
981C42×C61C2412yes—
982C42×C61C2412yes—
983C42×C61C2412yes—
984C42×C61C2412yes—
985C42×C61C2412yes—
986C42×C61C2412yes—
987C22⋊Dic61C2412yes—
988C22⋊Dic61C2414yes—
989C22⋊Dic61C2414yes—
990C22⋊Dic61C2414yes—
991C22⋊Dic61C2414yes—
992C22⋊Dic61C2414yes—
993C22⋊Dic61C2412yes—
994C22⋊Dic61C2412yes—
995C22⋊Dic61C2414yes—
996C22⋊Dic61C2412yes—
997C22⋊Dic61C2414yes—
998C22⋊Dic61C2414yes—
999C22⋊Dic61C2414yes—
1000C22⋊Dic61C2412yes—
1001C22⋊Dic61C2414yes—
1002C22⋊Dic61C2412yes—
1003C22⋊Dic61C2412yes—
1004C22⋊Dic61C2412yes—
1005C22⋊Dic61C2414yes—
1006C22⋊Dic61C2414yes—
1007#11758198C2412yes—
1008#11758198C2412yes—
1009#11758198C2412yes—
1010#11758198C2412yes—
1011#11758198C2412yes—
1012#11758198C2412yes—
1013#11758198C2412yes—
1014#11758198C2414yes—
1015#11758198C2414yes—
1016#11758198C2414yes—
1017#11758198C2412yes—
1018#11758198C2412yes—
1019#11758198C2412yes—
1020#11758198C2412yes—
1021#11758198C2414yes—
1022#11758198C2414yes—
1023#11758198C2414yes—
1024#11758198C2412yes—
1025#11758198C2414yes—
1026#11758198C2414yes—
1027#11758198C2412yes—
1028#11758198C2412yes—
1029#11758198C2412yes—
1030#11758198C2412yes—
1031C4⋊Dic61C2411yescharacteristic
1032C4⋊Dic61C2411yescharacteristic
1033C4⋊Dic61C2412yes—
1034C4⋊Dic61C2411yescharacteristic
1035C4⋊Dic61C2414yes—
1036C4⋊Dic61C2414yes—
1037C4⋊Dic61C2412yes—
1038C4⋊Dic61C2414yes—
1039C4⋊Dic61C2412yes—
1040C4⋊Dic61C2412yes—
1041C4⋊Dic61C2412yes—
1042C4⋊Dic61C2414yes—
1043C4⋊Dic61C2414yes—
1044C4⋊Dic61C2411yescharacteristic
1045C4⋊Dic61C2414yes—
1046C4⋊Dic61C2412yes—
1047C4⋊Dic61C2412yes—
1048C4⋊Dic61C2414yes—
1049C4⋊Dic61C2414yes—
1050C4⋊Dic61C2412yes—
1051#11758196C2412yes—
1052#11758196C2412yes—
1053#11758196C2412yes—
1054#11758196C2412yes—
1055#11758196C2414yes—
1056#11758196C2414yes—
1057#11758196C2414yes—
1058#11758196C2414yes—
1059#11758196C2414yes—
1060#11758196C2414yes—
1061#11758196C2412yes—
1062#11758196C2412yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2414yes—
1066#11758196C2414yes—
1067#11758196C2414yes—
1068#11758196C2412yes—
1069#11758196C2414yes—
1070#11758196C2414yes—
1071#11758196C2412yes—
1072#11758196C2414yes—
1073#11758196C2412yes—
1074#11758196C2414yes—
1075#11758196C2414yes—
1076#11758196C2412yes—
1077#11758196C2412yes—
1078#11758196C2412yes—
1079#11758196C2412yes—
1080#11758196C2412yes—
1081C4×Dic61C2411yescharacteristic
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2411yescharacteristic
1084C4×Dic61C2412yes—
1085C4×Dic61C2412yes—
1086C4×Dic61C2412yes—
1087C4×Dic61C2412yes—
1088C4×Dic61C2411yescharacteristic
1089C4×Dic61C2411yescharacteristic
1090C4×Dic61C2412yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2411yescharacteristic
1093C4×Dic61C2412yes—
1094C4×Dic61C2411yescharacteristic
1095C4×Dic61C2411yescharacteristic
1096C4×Dic61C2411yescharacteristic
1097C4×Dic61C2412yes—
1098C4×Dic61C2412yes—
1099C4×Dic61C2411yescharacteristic
1100C4×Dic61C2411yescharacteristic
1101C4×Dic61C2411yescharacteristic
1102C4×Dic61C2414yes—
1103C4×Dic61C2412yes—
1104C4×Dic61C2414yes—
1105C4×Dic61C2412yes—
1106C4×Dic61C2414yes—
1107C4×Dic61C2412yes—
1108C4×Dic61C2414yes—
1109C4×Dic61C2414yes—
1110C4×Dic61C2414yes—
1111C4×Dic61C2414yes—
1112C4×Dic61C2414yes—
1113C23×C61—24no—
1114C23×C61—42no—
1115C23×C61—42no—
1116C23×C61C2514yes—
1117C23×C61C2512yes—
1118C23×C61C2512yes—
1119C23×C61C2511yescharacteristic
1120C22×D61—22no—
1121C22×D61—24no—
1122C22×D61—24no—
1123C22×D61—22no—
1124C22×D61—28no—
1125C22×D61—42no—
1126C22×D61—41no—
1127C22×D61—44no—
1128C22×D61—44no—
1129C22×D61C2512yes—
1130C22×D61C2511yescharacteristic
1131C22×D61C2512yes—
1132C22×D61C2511yescharacteristic
1133Q8×C61—22no—
1134Q8×C61—22no—
1135Q8×C61—44no—
1136D4×C61—24no—
1137D4×C61—24no—
1138D4×C61—24no—
1139D4×C61—24no—
1140D4×C61—22no—
1141D4×C61—22no—
1142D4×C61—44no—
1143D4×C61—44no—
1144D4×C61—44no—
1145D4×C61—44no—
1146D4×C61—44no—
1147C2×C4×C61—24no—
1148C2×C4×C61—24no—
1149C2×C4×C61—22no—
1150C2×C4×C61—28no—
1151C2×C4×C61—24no—
1152C2×C4×C61—24no—
1153C2×C4×C61—42no—
1154C2×C4×C61—41no—
1155C2×C4×C61—42no—
1156C2×C4×C61—44no—
1157C2×C4×C61—42no—
1158C2×C4×C61C2×#4114yes—
1159C2×C4×C61C2511yescharacteristic
1160C2×C4×C61C2511yescharacteristic
1161C2×C4×C61C2511yescharacteristic
1162C2×C4×C61C2512yes—
1163C2×C4×C61C2512yes—
1164C2×C4×C61C2512yes—
1165C2×C4×C61C2512yes—
1166C2×C4×C61C2514yes—
1167C2×C4×C61C2512yes—
1168C2×C4×C61C2512yes—
1169C2×C4×C61C2511yescharacteristic
1170C2×C4×C61C2511yescharacteristic
1171C2×C4×C61C2511yescharacteristic
1172C22⋊D61—24no—
1173C22⋊D61—24no—
1174C22⋊D61—28no—
1175C22⋊D61—28no—
1176C22⋊D61—24no—
1177C22⋊D61—28no—
1178C22⋊D61—24no—
1179C22⋊D61—28no—
1180C22⋊D61—42no—
1181C22⋊D61—42no—
1182C22⋊D61—42no—
1183C22⋊D61—44no—
1184C22⋊D61—44no—
1185C22⋊D61C2×#4118yes—
1186C2×Dic61—24no—
1187C2×Dic61—22no—
1188C2×Dic61—28no—
1189C2×Dic61—24no—
1190C2×Dic61—28no—
1191C2×Dic61—41no—
1192C2×Dic61—41no—
1193C2×Dic61—44no—
1194C2×Dic61—42no—
1195C2×Dic61—42no—
1196C2×Dic61—44no—
1197C2×Dic61—44no—
1198C2×Dic61—42no—
1199C2×Dic61C2511yescharacteristic
1200C2×Dic61C2512yes—
1201C2×Dic61C2512yes—
1202C2×Dic61C2511yescharacteristic
1203C2×Dic61C2511yescharacteristic
1204C2×Dic61C2511yescharacteristic
1205C2×Dic61C2512yes—
1206C2×Dic61C2514yes—
1207C2×Dic61C2511yescharacteristic
1208C2×Dic61C2511yescharacteristic
1209C2×Dic61C2514yes—
1210C2×Dic61C2512yes—
1211C2×Dic61C2512yes—
1212C2×Dic61C2512yes—
1213D244—24no—
1214D244—24no—
1215D244—22no—
1216D244—42no—
1217D244C2×#4114yes—
1218C4×D61—24no—
1219C4×D61—28no—
1220C4×D61—22no—
1221C4×D61—22no—
1222C4×D61—24no—
1223C4×D61—22no—
1224C4×D61—22no—
1225C4×D61—22no—
1226C4×D61—22no—
1227C4×D61—24no—
1228C4×D61—22no—
1229C4×D61—24no—
1230C4×D61—24no—
1231C4×D61—22no—
1232C4×D61—24no—
1233C4×D61—41no—
1234C4×D61—41no—
1235C4×D61—44no—
1236C4×D61—42no—
1237C4×D61—41no—
1238C4×D61—41no—
1239C4×D61—44no—
1240C4×D61—42no—
1241C4×D61—42no—
1242C4×D61—42no—
1243C4×D61—42no—
1244C4×D61—44no—
1245C4×D61C2×#4118yes—
1246Dic122—24no—
1247Dic122—24no—
1248Dic122—22no—
1249Dic122—28no—
1250Dic122—24no—
1251Dic122—42no—
1252Dic122—42no—
1253Dic122—44no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—22no—
1259C22×C61—22no—
1260C22×C61—24no—
1261C22×C61—22no—
1262C22×C61—24no—
1263C22×C61—22no—
1264C22×C61—24no—
1265C22×C61—22no—
1266C22×C61—22no—
1267C22×C61—84no—
1268C22×C61C22×#4112yes—
1269C22×C61C2611yescharacteristic
1270C2×D61—21no—
1271C2×D61—21no—
1272C2×D61—22no—
1273C2×D61—22no—
1274C2×D61—21no—
1275C2×D61—22no—
1276C2×D61—22no—
1277C2×D61—21no—
1278C2×D61—21no—
1279C2×D61—22no—
1280C2×D61—48no—
1281C2×D61—44no—
1282C2×D61—88no—
1283C2×D61C22×#4114yes—
1284C2×D61#58512yes—
1285C4×C61—22no—
1286C4×C61—22no—
1287C4×C61—22no—
1288C4×C61—22no—
1289C4×C61—22no—
1290C4×C61—21no—
1291C4×C61—21no—
1292C4×C61—21no—
1293C4×C61—24no—
1294C4×C61—22no—
1295C4×C61C22×#4112yes—
1296C4×C61C22×#4112yes—
1297C4×C61#58512yes—
1298Dic61—24no—
1299Dic61—21no—
1300Dic61—22no—
1301Dic61—21no—
1302Dic61—22no—
1303Dic61—21no—
1304Dic61—21no—
1305Dic61—22no—
1306Dic61—24no—
1307Dic61—21no—
1308Dic61—21no—
1309Dic61—22no—
1310Dic61—22no—
1311Dic61C22×#4114yes—
1312#3524—612no—
1313#3521—612no—
1314#3521—614no—
1315#3516—612no—
1316#3513—612no—
1317#3513—614no—
1318#3512—612no—
1319#3512—611no—
1320#3510—612no—
1321#3510—611no—
1322#3504—611no—
1323#3500—611no—
1324#3495—611no—
1325#3495—612no—
1326#3494—612no—
1327#3494—611no—
1328#3489—611no—
1329#3488—611no—
1330#3482—612no—
1331#3481—612no—
1332#3481—614no—
1333#3480—612no—
1334#3475—612no—
1335#3475—614no—
1336#3461—612no—
1337#3461—611no—
1338#3460—612no—
1339#3460D6111yescharacteristic, complemented
1340#3444—612no—
1341#3444—611no—
1342C2×#529—612no—
1343C2×#529—611no—
1344C4×2−1+4—611no—
1345C4×H(5,𝔽2)—611no—
1346C2×C4×#41—611no—
1347C2×C61—22no—
1348C2×C61—42no—
1349C2×C61—44no—
1350C2×C61—42no—
1351C2×C61C23×#4111yescharacteristic
1352C2×C61C2×#58511yescharacteristic
1353C2×C61C2×#58511yescharacteristic
1354D61—22no—
1355D61—24no—
1356D61—41no—
1357D61—42no—
1358C2×2−1+4—611no—
1359C2×H(5,𝔽2)—611no—
1360C22×#41—611no—
1361#559—612no—
1362#559—612no—
1363#559—614no—
1364#559—614no—
1365#557—612no—
1366#557—612no—
1367#556—612no—
1368#556—614no—
1369#556—612no—
1370#556—614no—
1371#556—612no—
1372#556—614no—
1373#555—614no—
1374#555—612no—
1375#554—612no—
1376#554—612no—
1377#554—612no—
1378#554—614no—
1379#554—614no—
1380#554—614no—
1381#553—614no—
1382#553—614no—
1383#553—614no—
1384#553—614no—
1385#553—614no—
1386#553—614no—
1387#553—614no—
1388#553—614no—
1389#553—612no—
1390#553—614no—
1391#553—612no—
1392#553—614no—
1393#553—612no—
1394#553—612no—
1395#552—614no—
1396#552—614no—
1397#552—612no—
1398#552—612no—
1399#552—614no—
1400#552—614no—
1401#552—614no—
1402#552—614no—
1403#552—612no—
1404#552—614no—
1405#552—612no—
1406#551—614no—
1407#551—614no—
1408#551—614no—
1409#551—614no—
1410#551—614no—
1411#551—614no—
1412#551—614no—
1413#551—614no—
1414#551—614no—
1415#551—614no—
1416#551—614no—
1417#551—614no—
1418#550—612no—
1419D4×Q8—612no—
1420#548—612no—
1421#548—612no—
1422#548—612no—
1423#548—612no—
1424#547—614no—
1425#547—612no—
1426#547—614no—
1427#547—612no—
1428#546—612no—
1429#546—612no—
1430#546—614no—
1431#546—612no—
1432#546—614no—
1433#546—614no—
1434#546—612no—
1435#546—614no—
1436#546—614no—
1437#546—614no—
1438#546—614no—
1439D42—612no—
1440D42—614no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544C2×D6111yescharacteristic, complemented
1445#542—612no—
1446#542—614no—
1447#542—612no—
1448#542—614no—
1449#542—612no—
1450#542—612no—
1451#542—612no—
1452#542—612no—
1453#542C2×D6112yescomplemented
1454#542C2×D6112yescomplemented
1455#541—614no—
1456#541—612no—
1457#541—612no—
1458#541—612no—
1459#541—612no—
1460#540—612no—
1461#540—612no—
1462#540—614no—
1463#540C2×D6112yescomplemented
1464#540C2×D6112yescomplemented
1465#539—614no—
1466#539—614no—
1467#539—614no—
1468#538—614no—
1469#538—614no—
1470#538C2×D6114yescomplemented
1471#537—611no—
1472#537—612no—
1473#537—612no—
1474#537C2×D6111yescharacteristic, complemented
1475#536—611no—
1476#536—612no—
1477#536—612no—
1478#536—611no—
1479#535—612no—
1480#535—612no—
1481#535C2×D6111yescharacteristic
1482#535C2×D6111yescharacteristic, complemented
1483#533—612no—
1484#533—612no—
1485#533—611no—
1486#533—611no—
1487#533—612no—
1488#533—611no—
1489#533—614no—
1490#533—612no—
1491#532—611no—
1492#532—614no—
1493#532—612no—
1494#532—612no—
1495#532—611no—
1496#532—611no—
1497#532C2×D6112yescomplemented
1498#532C2×D6112yescomplemented
1499#529—614no—
1500#529—612no—
1501#529—612no—
1502#529—614no—
1503#529—614no—
1504#529—614no—
1505#529—612no—
1506#529—612no—
1507#529—612no—
1508#529—612no—
1509#529—614no—
1510#529—611no—
1511#529—611no—
1512#529—614no—
1513#529—612no—
1514#529—612no—
1515#529—614no—
1516#529—614no—
1517#529—614no—
1518#529—612no—
1519#529—612no—
1520#529—612no—
1521#529—612no—
1522#529—612no—
1523#529—612no—
1524#529—612no—
1525#529—612no—
1526#529—611no—
1527#529—614no—
1528#529—611no—
1529#529—614no—
1530#529—612no—
1531#529—614no—
1532#529—612no—
1533#529—612no—
1534#529—614no—
1535#529—612no—
1536#529C2×D6112yescomplemented
1537#529C2×D6112yescomplemented
1538C2×#126—614no—
1539C2×#126—612no—
1540C2×#125—612no—
1541C2×#125—611no—
1542C2×#124—611no—
1543C2×#124—612no—
1544#525—614no—
1545#525—611no—
1546#525—614no—
1547#525—612no—
1548#525—612no—
1549#525—614no—
1550#525—612no—
1551#525—612no—
1552#525—614no—
1553#525—611no—
1554#525C2×D6114yescomplemented
1555C2×#123—614no—
1556C2×#123—612no—
1557C2×C22⋊Q8—612no—
1558C2×C22⋊Q8—611no—
1559C2×#121—611no—
1560C2×#121—612no—
1561#520—611no—
1562#520—612no—
1563#520—612no—
1564#520—612no—
1565#520—614no—
1566#520—611no—
1567#520—612no—
1568#520—611no—
1569#520—611no—
1570#519—612no—
1571#519—611no—
1572#519—612no—
1573#518—611no—
1574#518—612no—
1575#518—612no—
1576#518—614no—
1577C4×#41—611no—
1578C4×#41—614no—
1579C4×#41—611no—
1580C4×#41—611no—
1581C4×#41—612no—
1582C4×#41—611no—
1583C4×#41—612no—
1584C4×#41—611no—
1585C4×#41—612no—
1586C4×#41—612no—
1587C4×#41—612no—
1588C4×#41—614no—
1589C4×#41—614no—
1590C4×#41—611no—
1591C4×#41—612no—
1592C4×#41—611no—
1593C4×#41—612no—
1594C4×#41—611no—
1595C4×#41—612no—
1596C4×#41—612no—
1597C4×#41—612no—
1598C4×#41C2×D6111yescharacteristic, complemented
1599C4×#41C2×D6111yescharacteristic, complemented
1600C2×C4×Q8—611no—
1601C2×C4×Q8—611no—
1602C2×C4×Q8—612no—
1603C2×C4×Q8—611no—
1604C2×C4×Q8—612no—
1605C2×C4×D4—614no—
1606C2×C4×D4—612no—
1607C2×C4×D4—612no—
1608C2×C4×D4—611no—
1609C2×C4×D4—612no—
1610C2×C4×D4—611no—
1611C2×C4×D4—612no—
1612C2×C4×D4—612no—
1613C2×C4×D4—614no—
1614C2×C4×D4C2×D6111yescharacteristic, complemented
1615C2×#117—612no—
1616C2×#117—611no—
1617C2×#117—612no—
1618C2×#117—614no—
1619C22×C42—611no—
1620C22×C42—612no—
1621C61#6281011yescharacteristic, complemented, Sylow
16222−1+4—1228no—
1623H(5,𝔽2)—1228no—
1624C2×#41—611no—
1625C2×#41—612no—
1626C2×#41—611no—
1627C2×#41—612no—
1628C2×#41—612no—
1629C2×#41—614no—
1630C2×#41—612no—
1631C2×#41—614no—
1632C2×#41—611no—
1633C2×#41—612no—
1634C2×#41—611no—
1635C2×#41—612no—
1636C2×#41—612no—
1637C2×#41—612no—
1638C2×#41—1228no—
1639C2×#41C22×D6111yescharacteristic
1640C2×#41C22×D6111yescharacteristic
1641C2×#41C22×D6114yes—
1642C22×Q8—611no—
1643C22×Q8—612no—
1644C22×Q8—611no—
1645C22×Q8—612no—
1646C22×D4—614no—
1647C22×D4—612no—
1648C22×D4—612no—
1649C22×D4—611no—
1650C22×D4—612no—
1651C22×D4—612no—
1652C22×D4—614no—
1653C22×D4C22×D6111yescharacteristic
1654C23×C4—612no—
1655C23×C4—611no—
1656C23×C4—614no—
1657C23×C4—611no—
1658C23×C4—612no—
1659C23×C4—611no—
1660C23×C4—612no—
1661C23×C4C22×D6112yes—
1662C4⋊Q8—611no—
1663C4⋊Q8—614no—
1664C4⋊Q8—612no—
1665C4⋊Q8—611no—
1666C4⋊Q8—611no—
1667C4⋊Q8—614no—
1668C4⋊Q8—614no—
1669C4⋊Q8—612no—
1670C4⋊Q8—612no—
1671C4⋊Q8—612no—
1672C4⋊Q8C22×D6112yes—
1673C4⋊Q8C22×D6112yes—
1674#127—611no—
1675#127—614no—
1676#127C22×D6112yes—
1677#127C22×D6112yes—
1678#126—612no—
1679#126—614no—
1680#126—614no—
1681#126—612no—
1682#126—614no—
1683#126—614no—
1684#126—614no—
1685#126—614no—
1686#126—614no—
1687#126—614no—
1688#126—614no—
1689#126—614no—
1690#126—614no—
1691#126—614no—
1692#126—612no—
1693#126—614no—
1694#126—614no—
1695#126—612no—
1696#126—614no—
1697#126—614no—
1698#126—614no—
1699#126—614no—
1700#126—614no—
1701#126—614no—
1702#126—614no—
1703#126—614no—
1704#126C22×D6114yes—
1705#126C22×D6114yes—
1706#125—611no—
1707#125—612no—
1708#125—612no—
1709#125—614no—
1710#125—614no—
1711#125—612no—
1712#125—612no—
1713#125—611no—
1714#125—612no—
1715#125—612no—
1716#125—614no—
1717#125—614no—
1718#125—614no—
1719#125—614no—
1720#125—614no—
1721#125—614no—
1722#125—612no—
1723#125—614no—
1724#125—614no—
1725#125—614no—
1726#125—612no—
1727#125—614no—
1728#125C22×D6112yes—
1729#125C22×D6112yes—
1730#124—611no—
1731#124—614no—
1732#124—612no—
1733#124—612no—
1734#124—612no—
1735#124—612no—
1736#124—611no—
1737#124—614no—
1738#124—612no—
1739#124—614no—
1740#124—614no—
1741#124—614no—
1742#124—614no—
1743#124—612no—
1744#124—612no—
1745#124—614no—
1746#124—614no—
1747#124—614no—
1748#124—614no—
1749#124—612no—
1750#124C22×D6112yes—
1751#124C22×D6114yes—
1752#124C22×D6112yes—
1753#124C22×D6114yes—
1754#123—614no—
1755#123—612no—
1756#123—614no—
1757#123—614no—
1758#123—614no—
1759#123—614no—
1760#123—614no—
1761#123—614no—
1762#123—614no—
1763#123—614no—
1764#123—612no—
1765#123—614no—
1766#123—612no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—614no—
1772#123—614no—
1773#123—614no—
1774#123—614no—
1775#123—612no—
1776#123—614no—
1777#123—612no—
1778#123—614no—
1779#123—612no—
1780#123—614no—
1781#123—614no—
1782#123—614no—
1783#123—614no—
1784#123—614no—
1785#123—614no—
1786#123—614no—
1787#123—614no—
1788#123C22×D6114yes—
1789#123C22×D6114yes—
1790#123C22×D6114yes—
1791#123C22×D6114yes—
1792C22⋊Q8—611no—
1793C22⋊Q8—611no—
1794C22⋊Q8—614no—
1795C22⋊Q8—614no—
1796C22⋊Q8—614no—
1797C22⋊Q8—614no—
1798C22⋊Q8—612no—
1799C22⋊Q8—612no—
1800C22⋊Q8—612no—
1801C22⋊Q8—612no—
1802C22⋊Q8—614no—
1803C22⋊Q8—612no—
1804C22⋊Q8—612no—
1805C22⋊Q8—614no—
1806C22⋊Q8—612no—
1807C22⋊Q8—612no—
1808C22⋊Q8—611no—
1809C22⋊Q8—611no—
1810C22⋊Q8—612no—
1811C22⋊Q8—612no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—612no—
1815C22⋊Q8—614no—
1816C22⋊Q8—614no—
1817C22⋊Q8—612no—
1818C22⋊Q8—614no—
1819C22⋊Q8—614no—
1820C22⋊Q8—612no—
1821C22⋊Q8—612no—
1822C22⋊Q8—614no—
1823C22⋊Q8—614no—
1824C22⋊Q8—614no—
1825C22⋊Q8—614no—
1826C22⋊Q8—614no—
1827C22⋊Q8—614no—
1828C22⋊Q8—614no—
1829C22⋊Q8—614no—
1830C22⋊Q8C22×D6112yes—
1831C22⋊Q8C22×D6114yes—
1832C22⋊Q8C22×D6114yes—
1833C22⋊Q8C22×D6112yes—
1834#121—612no—
1835#121—612no—
1836#121—612no—
1837#121—612no—
1838#121—614no—
1839#121—611no—
1840#121—611no—
1841#121—614no—
1842#121—614no—
1843#121—614no—
1844#121—612no—
1845#121—612no—
1846#121—614no—
1847#121—614no—
1848#121—614no—
1849#121—614no—
1850#121—614no—
1851#121—614no—
1852#121—612no—
1853#121—614no—
1854#121—614no—
1855#121—614no—
1856#121—614no—
1857#121—614no—
1858#121—612no—
1859#121—611no—
1860#121—611no—
1861#121—614no—
1862#121—612no—
1863#121—612no—
1864#121—614no—
1865#121—614no—
1866#121C22×D6112yes—
1867#121C22×D6112yes—
1868#121C22×D6112yes—
1869#121C22×D6114yes—
1870#121C22×D6114yes—
1871#121C22×D6114yes—
1872#121C22×D6112yes—
1873#121C22×D6112yes—
1874#121C22×D6112yes—
1875#121C22×D6114yes—
1876#120—614no—
1877#120—612no—
1878#120—614no—
1879#120—614no—
1880#120—614no—
1881#120—614no—
1882#120—612no—
1883#120—614no—
1884#120C22×D6114yes—
1885#120C22×D6114yes—
1886C4×Q8—611no—
1887C4×Q8—611no—
1888C4×Q8—612no—
1889C4×Q8—614no—
1890C4×Q8—614no—
1891C4×Q8—611no—
1892C4×Q8—611no—
1893C4×Q8—612no—
1894C4×Q8—612no—
1895C4×Q8—614no—
1896C4×Q8—612no—
1897C4×Q8—612no—
1898C4×Q8—614no—
1899C4×Q8—612no—
1900C4×Q8—612no—
1901C4×Q8—614no—
1902C4×Q8—611no—
1903C4×Q8—614no—
1904C4×Q8—612no—
1905C4×Q8—612no—
1906C4×Q8—611no—
1907C4×Q8—612no—
1908C4×Q8—612no—
1909C4×Q8—612no—
1910C4×Q8—612no—
1911C4×Q8—612no—
1912C4×Q8—612no—
1913C4×Q8—614no—
1914C4×Q8—611no—
1915C4×Q8—612no—
1916C4×Q8—611no—
1917C4×Q8—614no—
1918C4×Q8—612no—
1919C4×Q8—612no—
1920C4×Q8—612no—
1921C4×Q8—612no—
1922C4×Q8C22×D6111yescharacteristic
1923C4×Q8C22×D6111yescharacteristic
1924C4×Q8C22×D6111yescharacteristic
1925C4×Q8C22×D6111yescharacteristic
1926C4×D4—612no—
1927C4×D4—612no—
1928C4×D4—611no—
1929C4×D4—611no—
1930C4×D4—612no—
1931C4×D4—612no—
1932C4×D4—614no—
1933C4×D4—612no—
1934C4×D4—612no—
1935C4×D4—612no—
1936C4×D4—614no—
1937C4×D4—614no—
1938C4×D4—614no—
1939C4×D4—614no—
1940C4×D4—614no—
1941C4×D4—614no—
1942C4×D4—614no—
1943C4×D4—614no—
1944C4×D4—612no—
1945C4×D4—612no—
1946C4×D4—614no—
1947C4×D4—614no—
1948C4×D4—614no—
1949C4×D4—612no—
1950C4×D4—612no—
1951C4×D4—612no—
1952C4×D4—612no—
1953C4×D4—612no—
1954C4×D4—614no—
1955C4×D4—614no—
1956C4×D4—614no—
1957C4×D4—614no—
1958C4×D4—614no—
1959C4×D4—614no—
1960C4×D4—614no—
1961C4×D4—614no—
1962C4×D4—614no—
1963C4×D4—612no—
1964C4×D4—612no—
1965C4×D4—614no—
1966C4×D4—612no—
1967C4×D4—612no—
1968C4×D4—612no—
1969C4×D4—612no—
1970C4×D4—612no—
1971C4×D4—612no—
1972C4×D4—612no—
1973C4×D4—611no—
1974C4×D4—611no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—612no—
1978C4×D4—612no—
1979C4×D4—614no—
1980C4×D4—612no—
1981C4×D4—612no—
1982C4×D4—612no—
1983C4×D4—612no—
1984C4×D4—612no—
1985C4×D4—612no—
1986C4×D4—614no—
1987C4×D4—614no—
1988C4×D4—614no—
1989C4×D4—614no—
1990C4×D4—614no—
1991C4×D4—614no—
1992C4×D4—614no—
1993C4×D4—614no—
1994C4×D4—614no—
1995C4×D4—614no—
1996C4×D4—614no—
1997C4×D4—611no—
1998C4×D4—612no—
1999C4×D4—611no—
2000C4×D4—611no—
2001C4×D4—612no—
2002C4×D4—612no—
2003C4×D4—611no—
2004C4×D4—612no—
2005C4×D4—612no—
2006C4×D4—612no—
2007C4×D4—612no—
2008C4×D4C22×D6112yes—
2009C4×D4C22×D6112yes—
2010C4×D4C22×D6112yes—
2011C4×D4C22×D6111yescharacteristic
2012C4×D4C22×D6112yes—
2013C4×D4C22×D6111yescharacteristic
2014C4×D4C22×D6114yes—
2015C4×D4C22×D6112yes—
2016C4×D4C22×D6112yes—
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6111yescharacteristic
2019C4×D4C22×D6114yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6111yescharacteristic
2022#117—614no—
2023#117—611no—
2024#117—612no—
2025#117—614no—
2026#117—614no—
2027#117—614no—
2028#117—612no—
2029#117—611no—
2030#117—612no—
2031#117—614no—
2032#117—612no—
2033#117—612no—
2034#117—612no—
2035#117—611no—
2036#117—611no—
2037#117—614no—
2038#117—614no—
2039#117—612no—
2040#117—612no—
2041#117—612no—
2042#117—614no—
2043#117—614no—
2044#117—612no—
2045#117—612no—
2046#117—612no—
2047#117—614no—
2048#117—614no—
2049#117—614no—
2050#117—614no—
2051#117—614no—
2052#117—614no—
2053#117—614no—
2054#117—614no—
2055#117—614no—
2056#117—612no—
2057#117—612no—
2058#117—612no—
2059#117—612no—
2060#117—614no—
2061#117—612no—
2062#117—614no—
2063#117—612no—
2064#117—612no—
2065#117—612no—
2066#117C22×D6111yescharacteristic
2067#117C22×D6112yes—
2068#117C22×D6114yes—
2069#117C22×D6111yescharacteristic
2070#117C22×D6112yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—614no—
2074C2×C4⋊C4—612no—
2075C2×C4⋊C4—611no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—614no—
2078C2×C4⋊C4—612no—
2079C2×C4⋊C4—612no—
2080C2×C4⋊C4—611no—
2081C2×C4⋊C4—612no—
2082C2×C4⋊C4—611no—
2083C2×C4⋊C4—614no—
2084C2×C4⋊C4—614no—
2085C2×C4⋊C4—612no—
2086C2×C4⋊C4—612no—
2087C2×C4⋊C4—614no—
2088C2×C4⋊C4—612no—
2089C2×C4⋊C4—614no—
2090C2×C4⋊C4C22×D6111yescharacteristic
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—614no—
2094C2×C22⋊C4—612no—
2095C2×C22⋊C4—614no—
2096C2×C22⋊C4—612no—
2097C2×C22⋊C4—612no—
2098C2×C22⋊C4—612no—
2099C2×C22⋊C4—612no—
2100C2×C22⋊C4—614no—
2101C2×C22⋊C4—614no—
2102C2×C22⋊C4—614no—
2103C2×C22⋊C4—614no—
2104C2×C22⋊C4—614no—
2105C2×C22⋊C4—614no—
2106C2×C22⋊C4C22×D6112yes—
2107C2×C42—611no—
2108C2×C42—612no—
2109C2×C42—614no—
2110C2×C42—614no—
2111C2×C42—612no—
2112C2×C42—611no—
2113C2×C42—611no—
2114C2×C42—612no—
2115C2×C42—612no—
2116C2×C42—612no—
2117C2×C42—612no—
2118C2×C42—611no—
2119C2×C42—614no—
2120C2×C42—612no—
2121C2×C42—612no—
2122C2×C42—611no—
2123C2×C42—612no—
2124C2×C42—611no—
2125C2×C42—612no—
2126C2×C42—611no—
2127C2×C42—612no—
2128C2×C42—612no—
2129C2×C42—611no—
2130C2×C42—611no—
2131C2×C42—611no—
2132C2×C42—611no—
2133C2×C42C22×D6111yescharacteristic
2134C2×C42C22×D6112yes—
2135C2×C42C22×D6112yes—
2136C24—612no—
2137C24—611no—
2138C24—614no—
2139C24C23×D6112yes—
2140#41—24no—
2141#41—24no—
2142#41—48no—
2143#41—618no—
2144#41—1228no—
2145#41—1228no—
2146#41—1228no—
2147#41—1228no—
2148#41—1228no—
2149#41—12216no—
2150#41—1224no—
2151#41—1228no—
2152#41—1224no—
2153#41—1224no—
2154#41—2444no—
2155#41—2444no—
2156#41—2448no—
2157C2×Q8—611no—
2158C2×Q8—614no—
2159C2×Q8—612no—
2160C2×Q8—612no—
2161C2×Q8—612no—
2162C2×Q8—611no—
2163C2×Q8—612no—
2164C2×Q8—614no—
2165C2×Q8—612no—
2166C2×Q8—1228no—
2167C2×Q8—1228no—
2168C2×Q8—1224no—
2169C2×Q8—1224no—
2170C2×Q8C23×D6111yescharacteristic
2171C2×Q8C23×D6111yescharacteristic
2172C2×Q8C23×D6114yes—
2173C2×D4—24no—
2174C2×D4—612no—
2175C2×D4—614no—
2176C2×D4—612no—
2177C2×D4—612no—
2178C2×D4—614no—
2179C2×D4—614no—
2180C2×D4—612no—
2181C2×D4—614no—
2182C2×D4—612no—
2183C2×D4—612no—
2184C2×D4—612no—
2185C2×D4—612no—
2186C2×D4—614no—
2187C2×D4—614no—
2188C2×D4—611no—
2189C2×D4—612no—
2190C2×D4—612no—
2191C2×D4—611no—
2192C2×D4—612no—
2193C2×D4—1228no—
2194C2×D4—1228no—
2195C2×D4—1224no—
2196C2×D4—1228no—
2197C2×D4—12216no—
2198C2×D4—2448no—
2199C2×D4—2444no—
2200C2×D4C23×D6112yes—
2201C2×D4C23×D6112yes—
2202C2×D4C23×D6112yes—
2203C2×D4C23×D6112yes—
2204C2×D4C23×D6111yescharacteristic
2205C2×D4C23×D6111yescharacteristic
2206C2×D4C23×D6114yes—
2207C2×D4C23×D6114yes—
2208C2×D4C23×D6114yes—
2209C2×D4C23×D6114yes—
2210C2×D4C23×D6114yes—
2211C22×C4—44no—
2212C22×C4—612no—
2213C22×C4—611no—
2214C22×C4—612no—
2215C22×C4—612no—
2216C22×C4—614no—
2217C22×C4—614no—
2218C22×C4—611no—
2219C22×C4—611no—
2220C22×C4—612no—
2221C22×C4—612no—
2222C22×C4—614no—
2223C22×C4—612no—
2224C22×C4—614no—
2225C22×C4—614no—
2226C22×C4—611no—
2227C22×C4—611no—
2228C22×C4—612no—
2229C22×C4—612no—
2230C22×C4—611no—
2231C22×C4—612no—
2232C22×C4—611no—
2233C22×C4—611no—
2234C22×C4—611no—
2235C22×C4—614no—
2236C22×C4—612no—
2237C22×C4—612no—
2238C22×C4—611no—
2239C22×C4—611no—
2240C22×C4—612no—
2241C22×C4—612no—
2242C22×C4—612no—
2243C22×C4—612no—
2244C22×C4—612no—
2245C22×C4—611no—
2246C22×C4—611no—
2247C22×C4—611no—
2248C22×C4—611no—
2249C22×C4—612no—
2250C22×C4—614no—
2251C22×C4—614no—
2252C22×C4—614no—
2253C22×C4—1228no—
2254C22×C4—1224no—
2255C22×C4—2442no—
2256C22×C4—2448no—
2257C22×C4—2444no—
2258C22×C4—2442no—
2259C22×C4—2444no—
2260C22×C4C23×D6112yes—
2261C22×C4C23×D6112yes—
2262C22×C4C23×D6111yescharacteristic
2263C22×C4C23×D6112yes—
2264C22×C4C23×D6112yes—
2265C22×C4C23×D6114yes—
2266C22×C4C23×D6111yescharacteristic
2267C22×C4C23×D6112yes—
2268C22×C4C23×D6112yes—
2269C22×C4C23×D6112yes—
2270C22×C4C23×D6114yes—
2271C22×C4C23×D6111yescharacteristic
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—611no—
2275C4⋊C4—611no—
2276C4⋊C4—612no—
2277C4⋊C4—612no—
2278C4⋊C4—614no—
2279C4⋊C4—614no—
2280C4⋊C4—614no—
2281C4⋊C4—612no—
2282C4⋊C4—614no—
2283C4⋊C4—614no—
2284C4⋊C4—614no—
2285C4⋊C4—614no—
2286C4⋊C4—614no—
2287C4⋊C4—614no—
2288C4⋊C4—611no—
2289C4⋊C4—612no—
2290C4⋊C4—612no—
2291C4⋊C4—612no—
2292C4⋊C4—614no—
2293C4⋊C4—612no—
2294C4⋊C4—612no—
2295C4⋊C4—612no—
2296C4⋊C4—612no—
2297C4⋊C4—614no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—614no—
2301C4⋊C4—612no—
2302C4⋊C4—612no—
2303C4⋊C4—614no—
2304C4⋊C4—614no—
2305C4⋊C4—612no—
2306C4⋊C4—614no—
2307C4⋊C4—612no—
2308C4⋊C4—614no—
2309C4⋊C4—612no—
2310C4⋊C4—612no—
2311C4⋊C4—612no—
2312C4⋊C4—612no—
2313C4⋊C4—614no—
2314C4⋊C4—612no—
2315C4⋊C4—611no—
2316C4⋊C4—612no—
2317C4⋊C4—612no—
2318C4⋊C4—612no—
2319C4⋊C4—614no—
2320C4⋊C4—614no—
2321C4⋊C4—614no—
2322C4⋊C4C23×D6111yescharacteristic
2323C4⋊C4C23×D6112yes—
2324C4⋊C4C23×D6112yes—
2325C4⋊C4C23×D6112yes—
2326C4⋊C4C23×D6111yescharacteristic
2327C4⋊C4C23×D6111yescharacteristic
2328C4⋊C4C23×D6112yes—
2329C4⋊C4C23×D6112yes—
2330C4⋊C4C23×D6114yes—
2331C4⋊C4C23×D6114yes—
2332C4⋊C4C23×D6114yes—
2333C4⋊C4C23×D6111yescharacteristic
2334C4⋊C4C23×D6112yes—
2335C4⋊C4C23×D6114yes—
2336C22⋊C4—612no—
2337C22⋊C4—614no—
2338C22⋊C4—614no—
2339C22⋊C4—612no—
2340C22⋊C4—614no—
2341C22⋊C4—614no—
2342C22⋊C4—614no—
2343C22⋊C4—612no—
2344C22⋊C4—612no—
2345C22⋊C4—614no—
2346C22⋊C4—614no—
2347C22⋊C4—614no—
2348C22⋊C4—614no—
2349C22⋊C4—614no—
2350C22⋊C4—612no—
2351C22⋊C4—612no—
2352C22⋊C4—612no—
2353C22⋊C4—614no—
2354C22⋊C4—614no—
2355C22⋊C4—612no—
2356C22⋊C4—612no—
2357C22⋊C4—612no—
2358C22⋊C4—612no—
2359C22⋊C4—612no—
2360C22⋊C4—614no—
2361C22⋊C4—614no—
2362C22⋊C4—612no—
2363C22⋊C4—614no—
2364C22⋊C4—612no—
2365C22⋊C4—612no—
2366C22⋊C4—612no—
2367C22⋊C4—612no—
2368C22⋊C4—612no—
2369C22⋊C4—612no—
2370C22⋊C4—612no—
2371C22⋊C4—614no—
2372C22⋊C4—614no—
2373C22⋊C4—614no—
2374C22⋊C4—614no—
2375C22⋊C4—614no—
2376C22⋊C4—612no—
2377C22⋊C4—612no—
2378C22⋊C4—612no—
2379C22⋊C4—612no—
2380C22⋊C4C23×D6114yes—
2381C22⋊C4C23×D6114yes—
2382C22⋊C4C23×D6112yes—
2383C22⋊C4C23×D6112yes—
2384C22⋊C4C23×D6112yes—
2385C22⋊C4C23×D6114yes—
2386C22⋊C4C23×D6114yes—
2387C22⋊C4C23×D6114yes—
2388C22⋊C4C23×D6114yes—
2389C22⋊C4C23×D6112yes—
2390C22⋊C4C23×D6112yes—
2391C22⋊C4C23×D6112yes—
2392C22⋊C4C23×D6114yes—
2393C22⋊C4C23×D6114yes—
2394C42—611no—
2395C42—611no—
2396C42—612no—
2397C42—611no—
2398C42—612no—
2399C42—612no—
2400C42—612no—
2401C42—612no—
2402C42—612no—
2403C42—611no—
2404C42—611no—
2405C42—611no—
2406C42—611no—
2407C42—612no—
2408C42—612no—
2409C42—611no—
2410C42—611no—
2411C42—611no—
2412C42—614no—
2413C42—612no—
2414C42—614no—
2415C42—614no—
2416C42—614no—
2417C42—614no—
2418C42—614no—
2419C42—612no—
2420C42—614no—
2421C42—611no—
2422C42—612no—
2423C42—614no—
2424C42—612no—
2425C42—611no—
2426C42C23×D6111yescharacteristic
2427C42C23×D6111yescharacteristic
2428C42C23×D6112yes—
2429C42C23×D6112yes—
2430C42C23×D6112yes—
2431C42C23×D6112yes—
2432C42C23×D6111yescharacteristic
2433C42C23×D6111yescharacteristic
2434C42C23×D6112yes—
2435C42C23×D6112yes—
2436C23—24no—
2437C23—42no—
2438C23—42no—
2439C23—612no—
2440C23—611no—
2441C23—612no—
2442C23—611no—
2443C23—1228no—
2444C23—1224no—
2445C23—1222no—
2446C23—1224no—
2447C23—1222no—
2448C23—2444no—
2449C23—2444no—
2450C23—2441no—
2451C23—2442no—
2452C23C24×D6114yes—
2453C23C24×D6112yes—
2454C23C24×D6112yes—
2455C23C24×D6111yescharacteristic
2456Q8—22no—
2457Q8—22no—
2458Q8—44no—
2459Q8—614no—
2460Q8—1228no—
2461Q8—1224no—
2462Q8—1224no—
2463Q8—1224no—
2464Q8—1222no—
2465Q8—2444no—
2466Q8—2442no—
2467Q8—2442no—
2468D4—24no—
2469D4—24no—
2470D4—24no—
2471D4—24no—
2472D4—22no—
2473D4—22no—
2474D4—44no—
2475D4—44no—
2476D4—44no—
2477D4—44no—
2478D4—44no—
2479D4—618no—
2480D4—614no—
2481D4—1224no—
2482D4—1224no—
2483D4—1228no—
2484D4—1224no—
2485D4—1228no—
2486D4—1224no—
2487D4—1228no—
2488D4—1228no—
2489D4—1224no—
2490D4—1224no—
2491D4—1222no—
2492D4—2442no—
2493D4—2444no—
2494D4—2444no—
2495D4—2442no—
2496D4—2442no—
2497D4—2442no—
2498C2×C4—24no—
2499C2×C4—24no—
2500C2×C4—22no—
2501C2×C4—28no—
2502C2×C4—24no—
2503C2×C4—24no—
2504C2×C4—44no—
2505C2×C4—42no—
2506C2×C4—41no—
2507C2×C4—42no—
2508C2×C4—42no—
2509C2×C4—612no—
2510C2×C4—618no—
2511C2×C4—611no—
2512C2×C4—612no—
2513C2×C4—611no—
2514C2×C4—611no—
2515C2×C4—612no—
2516C2×C4—614no—
2517C2×C4—612no—
2518C2×C4—611no—
2519C2×C4—611no—
2520C2×C4—611no—
2521C2×C4—612no—
2522C2×C4—614no—
2523C2×C4—612no—
2524C2×C4—1224no—
2525C2×C4—1224no—
2526C2×C4—1222no—
2527C2×C4—1222no—
2528C2×C4—1224no—
2529C2×C4—1228no—
2530C2×C4—1224no—
2531C2×C4—1228no—
2532C2×C4—1228no—
2533C2×C4—1222no—
2534C2×C4—1224no—
2535C2×C4—1222no—
2536C2×C4—1222no—
2537C2×C4—1222no—
2538C2×C4—1222no—
2539C2×C4—1224no—
2540C2×C4—1224no—
2541C2×C4—1222no—
2542C2×C4—1224no—
2543C2×C4—1222no—
2544C2×C4—2442no—
2545C2×C4—2441no—
2546C2×C4—2441no—
2547C2×C4—2442no—
2548C2×C4—2441no—
2549C2×C4—2441no—
2550C2×C4—2444no—
2551C2×C4—2444no—
2552C2×C4—2442no—
2553C2×C4—2442no—
2554C2×C4—2444no—
2555C2×C4—2442no—
2556C2×C4—2442no—
2557C2×C4—2441no—
2558C2×C4—2442no—
2559C2×C4—2444no—
2560C2×C4—2441no—
2561C2×C4—2442no—
2562C2×C4—2444no—
2563C2×C4—2444no—
2564C2×C4#41×D6114yes—
2565C2×C4C24×D6111yescharacteristic
2566C2×C4C24×D6111yescharacteristic
2567C2×C4C24×D6111yescharacteristic
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6112yes—
2570C2×C4C24×D6112yes—
2571C2×C4C24×D6112yes—
2572C2×C4C24×D6112yes—
2573C2×C4C24×D6112yes—
2574C2×C4C24×D6114yes—
2575C2×C4C24×D6111yescharacteristic
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—22no—
2581C22—22no—
2582C22—24no—
2583C22—22no—
2584C22—22no—
2585C22—24no—
2586C22—24no—
2587C22—22no—
2588C22—22no—
2589C22—84no—
2590C22—614no—
2591C22—612no—
2592C22—1221no—
2593C22—1222no—
2594C22—1222no—
2595C22—1221no—
2596C22—1221no—
2597C22—1222no—
2598C22—1221no—
2599C22—1222no—
2600C22—1222no—
2601C22—1221no—
2602C22—4888no—
2603C22—2444no—
2604C22—2448no—
2605C22C2×#41×D6112yes—
2606C22C25×D6111yescharacteristic
2607C4—22no—
2608C4—22no—
2609C4—21no—
2610C4—21no—
2611C4—22no—
2612C4—22no—
2613C4—21no—
2614C4—24no—
2615C4—22no—
2616C4—22no—
2617C4—614no—
2618C4—1221no—
2619C4—1222no—
2620C4—1221no—
2621C4—1224no—
2622C4—1221no—
2623C4—1222no—
2624C4—1221no—
2625C4—1224no—
2626C4—1222no—
2627C4—1221no—
2628C4—1222no—
2629C4—1222no—
2630C4—1221no—
2631C4C2×#41×D6112yes—
2632C4C2×#41×D6112yes—
2633C4#1684059712yes—
2634C2—22no—
2635C2—44no—
2636C2—42no—
2637C2—42no—
2638C2—1224no—
2639C2—1222no—
2640C2—2442no—
2641C2—2441no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2C2×#1684059711yescharacteristic
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC61×#3460C2
hypercenter#3460D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #3460

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21459922C2semidirect
2. #21459885C2semidirect
3. #21459883C2semidirect
4. #21459806C2semidirect
5. #21459757C2semidirect
6. #21459755C2semidirect
7. #21459740C2semidirect
8. #21459738C2semidirect
9. #21459714C2semidirect
10. #21459711C2semidirect
11. #21459642C2semidirect
12. #21459611C2semidirect
13. #21459574C2semidirect
14. #21459569C2semidirect
15. #21459551C2semidirect
16. #21459546C2semidirect
17. #21459494C2semidirect
18. #21459486C2semidirect
19. #21459432C2semidirect
20. #21459427C2semidirect
21. #21459421C2semidirect
22. #21459416C2semidirect
23. #21459379C2semidirect
24. #21459375C2semidirect
25. #21459246C2semidirect
26. #21459244C2semidirect
27. #21459233C2semidirect
28. #21459114C2semidirect
29. #21459112C2semidirect
30. C2×#16840294C2semidirect
31. #529×D61C2semidirect
32. C4×#14519824C2semidirect
33. C4×#14519822C2semidirect
34. C4×#41×D61C2semidirect
35. C61×#3460C2semidirect
39. #16840498C22semidirect
40. #16840498C22semidirect
41. #16840496C22semidirect
42. #16840494C22semidirect
43. #16840489C22semidirect
44. #16840487C22semidirect
45. #16840486C22semidirect
46. #16840483C22semidirect
47. #16840481C22semidirect
48. #16840481C22semidirect
49. #16840481C22semidirect
50. #16840479C22semidirect
51. #16840476C22semidirect
52. #16840476C22semidirect
53. #16840473C22semidirect
54. #16840473C22semidirect
55. #16840470C22semidirect
56. #16840468C22semidirect
57. #16840466C22semidirect
58. #16840466C22semidirect
59. #16840464C22semidirect
60. #16840464C22semidirect
61. #16840464C22semidirect
62. #16840459C22semidirect
63. #16840459C22semidirect
64. #16840459C22semidirect
65. #16840459C22semidirect
66. #16840457C22semidirect
67. #16840457C22semidirect
68. #16840457C22semidirect
69. #16840455C22semidirect
70. #16840455C22semidirect
71. #16840455C22semidirect
72. #16840455C22semidirect
73. #16840454C22semidirect
74. #16840454C22semidirect
75. #16840450C22semidirect
76. #16840450C22semidirect
77. #16840449C22semidirect
78. #16840449C22semidirect
79. #16840449C22semidirect
80. #16840448C22semidirect
81. #16840448C22semidirect
82. #16840446C22semidirect
83. #16840446C22semidirect
84. #16840443C22semidirect
85. #16840443C22semidirect
86. #16840443C22semidirect
87. #16840442C22semidirect
88. #16840442C22semidirect
89. #16840440C22semidirect
90. #16840440C22semidirect
91. #16840439C22semidirect
92. #16840439C22semidirect
93. #16840437C22semidirect
94. #16840435C22semidirect
95. #16840435C22semidirect
97. #16840425C22semidirect
99. #16840418C22semidirect
100. #16840418C22semidirect
101. #16840418C22semidirect
102. #16840414C22semidirect
103. #16840412C22semidirect
104. #16840412C22semidirect
105. #16840410C22semidirect
106. #16840409C22semidirect
107. #16840409C22semidirect
108. #16840409C22semidirect
109. #16840409C22semidirect
111. #16840401C22semidirect
112. #16840401C22semidirect
114. #16840399C22semidirect
115. #16840399C22semidirect
116. #16840399C22semidirect
119. #16840392C22semidirect
120. #16840390C22semidirect
121. #16840389C22semidirect
122. #16840386C22semidirect
123. #16840383C22semidirect
124. #16840381C22semidirect
125. #16840380C22semidirect
126. #16840379C22semidirect
127. #16840379C22semidirect
128. #16840377C22semidirect
129. #16840376C22semidirect
130. #16840375C22semidirect
131. #16840374C22semidirect
132. #16840372C22semidirect
133. #16840370C22semidirect
134. #16840369C22semidirect
135. #16840366C22semidirect
136. #16840365C22semidirect
137. #16840362C22semidirect
138. #16840355C22semidirect
139. #16840354C22semidirect
140. #16840353C22semidirect
141. #16840346C22semidirect
142. #16840344C22semidirect
144. #16840341C22semidirect
146. #16840338C22semidirect
147. #16840335C22semidirect
148. #16840333C22semidirect
149. #16840332C22semidirect
151. #16840325C22semidirect
152. #16840319C22semidirect
153. #16840317C22semidirect
154. #16840317C22semidirect
155. #16840316C22semidirect
156. #16840316C22semidirect
157. #16840316C22semidirect
158. #16840315C22semidirect
159. #16840315C22semidirect
160. #16840310C22semidirect
161. #16840310C22semidirect
162. #16840309C22semidirect
163. #16840309C22semidirect
164. #16840308C22semidirect
165. #16840308C22semidirect
166. #16840299C22semidirect
167. #16840299C22semidirect
168. #16840298C22semidirect
169. #16840297C22semidirect
170. #16840296C22semidirect
171. #16840295C22semidirect
172. #16840294C22semidirect
173. #16840294C22semidirect
174. #16840294C22semidirect
175. #16840294C22semidirect
176. #16840294C22semidirect
177. #16840294C22semidirect
178. #16840294C22semidirect
179. #16840294C22semidirect
180. #16840294C22semidirect
181. #16840294C22semidirect
182. #16840294C22semidirect
183. #16840294C22semidirect
184. #16840294C22semidirect
185. #16840293C22semidirect
186. #16840293C22semidirect
187. #16840293C22semidirect
188. #16840293C22semidirect
189. #16840292C22semidirect
190. #16840292C22semidirect
191. #16840292C22semidirect
192. #16840292C22semidirect
193. #16840292C22semidirect
194. #16840292C22semidirect
195. #16840291C22semidirect
196. #16840291C22semidirect
197. #16840291C22semidirect
198. #16840290C22semidirect
199. #16840290C22semidirect
200. #16840290C22semidirect
201. #16840290C22semidirect
202. #16840289C22semidirect
203. C2×#14519770C22semidirect
204. #126×D61C22semidirect
205. C2×#14519768C22semidirect
206. #125×D61C22semidirect
207. C2×#14519764C22semidirect
208. #124×D61C22semidirect
211. #16840272C22semidirect
212. #16840272C22semidirect
213. #16840271C22semidirect
214. #16840271C22semidirect
215. #16840271C22semidirect
216. #16840269C22semidirect
217. #16840269C22semidirect
218. #16840269C22semidirect
219. C2×#14519759C22semidirect
220. #123×D61C22semidirect
221. C2×#14519757C22semidirect
222. C22⋊Q8×D61C22semidirect
225. #16840245C22semidirect
227. #16840243C22semidirect
229. #16840242C22semidirect
230. #16840241C22semidirect
231. #16840241C22semidirect
232. #16840241C22semidirect
233. #16840241C22semidirect
234. #16840239C22semidirect
235. #16840239C22semidirect
236. #16840238C22semidirect
237. #16840237C22semidirect
238. #16840235C22semidirect
239. #16840234C22semidirect
240. #16840234C22semidirect
241. #41×Dic61C22semidirect
242. #41×Dic61C22semidirect
243. C4×#11758226C22semidirect
244. C4×#11758226C22semidirect
246. C4×#11758222C22semidirect
247. C4×#11758222C22semidirect
248. C4×#11758222C22semidirect
249. C4×#11758222C22semidirect
250. C4×#11758222C22semidirect
252. #16840230C22semidirect
253. C4×#11758224C22semidirect
254. C4×#11758224C22semidirect
255. C4×#11758224C22semidirect
256. C4×#11758224C22semidirect
257. C4×#11758224C22semidirect
258. C4×#11758224C22semidirect
259. C4×#11758224C22semidirect
260. C4×#11758224C22semidirect
261. C4×#11758224C22semidirect
262. C2×C4×Dic122C22semidirect
263. C2×C4×Dic122C22semidirect
264. C4×Q8×D61C22semidirect
265. C4×Q8×D61C22semidirect
266. C4×Q8×D61C22semidirect
267. C2×C4×C22⋊D61C22semidirect
268. C2×C4×C22⋊D61C22semidirect
269. C4×D4×D61C22semidirect
270. C4×D4×D61C22semidirect
271. C4×D4×D61C22semidirect
272. C4×D4×D61C22semidirect
273. C4×D4×D61C22semidirect
274. C4×D4×D61C22semidirect
275. C4×D4×D61C22semidirect
276. C2×#14519736C22semidirect
277. #117×D61C22semidirect
278. #117×D61C22semidirect
279. #117×D61C22semidirect
280. C2×C42×D61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#544C22semidirect
283. C61×#542C22semidirect
284. C61×#542C22semidirect
285. C61×#540C22semidirect
286. C61×#540C22semidirect
287. C61×#538C22semidirect
288. C61×#537C22semidirect
290. C61×#535C22semidirect
291. C61×#532C22semidirect
292. C61×#532C22semidirect
293. C61×#529C22semidirect
294. C61×#529C22semidirect
295. C61×#525C22semidirect
296. C4×#41×C61C22semidirect
297. C4×#41×C61C22semidirect
298. C2×C4×D4×C61C22semidirect
897. #11758222#41semidirect
1339. #3460D61semidirect
1444. #544C2×D61semidirect
1453. #542C2×D61semidirect
1454. #542C2×D61semidirect
1463. #540C2×D61semidirect
1464. #540C2×D61semidirect
1470. #538C2×D61semidirect
1474. #537C2×D61semidirect
1482. #535C2×D61semidirect
1497. #532C2×D61semidirect
1498. #532C2×D61semidirect
1536. #529C2×D61semidirect
1537. #529C2×D61semidirect
1554. #525C2×D61semidirect
1598. C4×#41C2×D61semidirect
1599. C4×#41C2×D61semidirect
1614. C2×C4×D4C2×D61semidirect
1621. C61#62810semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214599222
#214598852
#214598832
#214598062
#214597572
#214597552
#214597402
#214597382
#214597142
#214597112
#214596422
#214596112
#214595742
#214595692
#214595512
#214595462
#214594942
#214594862
#214594322
#214594272
#214594212
#214594162
#214593792
#214593752
#214592462
#214592442
#214592332
#214591142
#214591122
C2×#168402942
#529×D612
C4×#145198242
C4×#145198222
C4×#41×D612
C61×#34602
#6281061