Finite Group Databasebeta

← #30588533

Subgroups — #30588533

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#21459926C212yesmaximal, complemented
2#21459893C212yesmaximal, complemented
3#21459877C214yesmaximal, complemented
4#21459810C212yesmaximal, complemented
5#21459765C212yesmaximal, complemented
6#21459749C214yesmaximal, complemented
7#21459742C212yesmaximal, complemented
8#21459740C211yesmaximal, characteristic, complemented
9#21459718C211yesmaximal, characteristic, complemented
10#21459711C212yesmaximal, complemented
11#21459642C211yesmaximal, characteristic, complemented
12#21459608C211yesmaximal, characteristic, complemented
13#21459568C211yesmaximal, characteristic, complemented
14#21459563C212yesmaximal, complemented
15#21459557C211yesmaximal, characteristic, complemented
16#21459552C212yesmaximal, complemented
17#21459497C211yesmaximal, characteristic, complemented
18#21459483C211yesmaximal, characteristic, complemented
19#21459437C212yesmaximal, complemented
20#21459425C212yesmaximal, complemented
21#21459425C214yesmaximal, complemented
22#21459410C212yesmaximal, complemented
23#21459386C212yesmaximal, complemented
24#21459371C214yesmaximal, complemented
25#21459250C212yesmaximal, complemented
26#21459240C212yesmaximal, complemented
27#21459235C211yesmaximal, characteristic, complemented
28#21459116C212yesmaximal, complemented
29#21459112C211yesmaximal, characteristic, complemented
30C2×#16840299C211yesmaximal, characteristic, complemented
31#529×D61C212yesmaximal, complemented
32C4×#14519825C211yesmaximal, characteristic, complemented
33C4×#14519823C211yesmaximal, characteristic, complemented
34C4×#41×D61C211yesmaximal, characteristic, complemented
35C61×#3461C211yesmaximal, characteristic, complemented
36C2×#14519825C2211yescharacteristic
37C2×#14519823C2211yescharacteristic
38C2×#41×D61C2211yescharacteristic
39#16840496C2214yescomplemented
40#16840494C2212yescomplemented
41#16840494C2212yescomplemented
42#16840494C2214yescomplemented
43#16840489C2212yescomplemented
44#16840487C2212yescomplemented
45#16840486C2212yescomplemented
46#16840486C2212yescomplemented
47#16840483C2212yescomplemented
48#16840483C2214yescomplemented
49#16840479C2214yescomplemented
50#16840479C2214yescomplemented
51#16840478C2212yescomplemented
52#16840474C2214yescomplemented
53#16840473C2212yescomplemented
54#16840470C2212yescomplemented
55#16840470C2214yescomplemented
56#16840468C2214yescomplemented
57#16840468C2212yescomplemented
58#16840466C2214yescomplemented
59#16840465C2214yescomplemented
60#16840465C2214yescomplemented
61#16840465C2212yescomplemented
62#16840465C2212yescomplemented
63#16840464C2214yescomplemented
64#16840464C2212yescomplemented
65#16840463C2214yescomplemented
66#16840463C2214yescomplemented
67#16840463C2214yescomplemented
68#16840463C2214yescomplemented
69#16840463C2214yescomplemented
70#16840459C2212yescomplemented
71#16840457C2214yescomplemented
72#16840455C2214yescomplemented
73#16840454C2212yescomplemented
74#16840454C2212yescomplemented
75#16840450C2214yescomplemented
76#16840449C2214yescomplemented
77#16840448C2214yescomplemented
78#16840446C2212yescomplemented
79#16840446C2212yescomplemented
80#16840444C2214yescomplemented
81#16840444C2214yescomplemented
82#16840444C2214yescomplemented
83#16840444C2214yescomplemented
84#16840442C2214yescomplemented
85#16840439C2214yescomplemented
86#16840439C2214yescomplemented
87#16840439C2214yescomplemented
88#16840437C2214yescomplemented
89#16840437C2214yescomplemented
90#16840437C2214yescomplemented
91#16840437C2214yescomplemented
92#16840435C2214yescomplemented
93#16840435C2214yescomplemented
94#16840435C2214yescomplemented
95#16840435C2214yescomplemented
96#16840430C2212yes—
97#16840427C2212yescomplemented
98#16840422C2212yes—
99#16840422C2212yescomplemented
100#16840422C2212yescomplemented
101#16840420C2212yescomplemented
102#16840415C2212yescomplemented
103#16840415C2212yescomplemented
104#16840414C2214yescomplemented
105#16840410C2214yescomplemented
106#16840405C2212yescomplemented
107#16840405C2214yescomplemented
108#16840404C2214yescomplemented
109#16840404C2214yescomplemented
110#16840404C2214yescomplemented
111#16840404C2214yescomplemented
112#16840403C2212yes—
113#16840403C2214yescomplemented
114#16840403C2212yescomplemented
115#16840403C2212yescomplemented
116#16840401C2214yes—
117#16840396C2214yes—
118#16840396C2212yes—
119#16840392C2212yescomplemented
120#16840390C2211yescharacteristic, complemented
121#16840389C2212yescomplemented
122#16840386C2212yescomplemented
123#16840385C2212yescomplemented
124#16840385C2212yescomplemented
125#16840384C2212yescomplemented
126#16840383C2212yescomplemented
127#16840382C2214yescomplemented
128#16840381C2212yescomplemented
129#16840378C2214yescomplemented
130#16840373C2212yescomplemented
131#16840372C2212yescomplemented
132#16840371C2214yescomplemented
133#16840368C2212yescomplemented
134#16840367C2212yescomplemented
135#16840365C2212yescomplemented
136#16840364C2214yescomplemented
137#16840363C2212yescomplemented
138#16840360C2214yescomplemented
139#16840358C2214yescomplemented
140#16840351C2214yescomplemented
141#16840348C2214yescomplemented
142#16840345C2214yescomplemented
143#16840342C2212yes—
144#16840342C2212yescomplemented
145#16840340C2211yescharacteristic, complemented
146#16840337C2212yescomplemented
147#16840335C2212yescomplemented
148#16840331C2211yescharacteristic, complemented
149#16840330C2212yescomplemented
150#16840328C2212yes—
151#16840326C2211yescharacteristic
152#16840317C2212yescomplemented
153#16840317C2212yescomplemented
154#16840316C2211yescharacteristic, complemented
155#16840316C2214yescomplemented
156#16840316C2211yescharacteristic, complemented
157#16840315C2211yescharacteristic, complemented
158#16840313C2212yescomplemented
159#16840313C2212yescomplemented
160#16840312C2212yescomplemented
161#16840309C2212yescomplemented
162#16840309C2211yescharacteristic, complemented
163#16840309C2214yescomplemented
164#16840309C2211yescharacteristic, complemented
165#16840308C2211yescharacteristic, complemented
166#16840299C2211yescharacteristic, complemented
167#16840299C2212yescomplemented
168#16840299C2212yescomplemented
169#16840299C2212yescomplemented
170#16840299C2214yescomplemented
171#16840299C2212yescomplemented
172#16840299C2212yescomplemented
173#16840299C2212yescomplemented
174#16840299C2212yescomplemented
175#16840299C2212yescomplemented
176#16840299C2212yescomplemented
177#16840299C2211yescharacteristic, complemented
178#16840299C2214yescomplemented
179#16840298C2212yescomplemented
180#16840298C2212yescomplemented
181#16840298C2212yescomplemented
182#16840298C2214yescomplemented
183#16840297C2214yescomplemented
184#16840297C2212yescomplemented
185#16840297C2214yescomplemented
186#16840296C2212yescomplemented
187#16840295C2214yescomplemented
188#16840294C2211yescharacteristic, complemented
189#16840294C2211yescharacteristic, complemented
190#16840293C2212yescomplemented
191#16840292C2214yescomplemented
192#16840292C2212yescomplemented
193#16840292C2212yescomplemented
194#16840291C2212yescomplemented
195#16840290C2214yescomplemented
196#16840290C2214yescomplemented
197#16840290C2214yescomplemented
198#16840290C2212yescomplemented
199#16840290C2214yescomplemented
200#16840290C2212yescomplemented
201#16840289C2214yescomplemented
202C2×#14519772C2212yescomplemented
203#126×D61C2214yescomplemented
204C2×#14519768C2211yescharacteristic, complemented
205#125×D61C2212yescomplemented
206C2×#14519766C2211yescharacteristic, complemented
207#124×D61C2212yescomplemented
208#16840275C2212yes—
209#16840275C2214yescomplemented
210#16840275C2212yescomplemented
211#16840274C2214yescomplemented
212#16840274C2211yescharacteristic, complemented
213#16840274C2214yescomplemented
214#16840271C2214yescomplemented
215#16840271C2212yescomplemented
216#16840271C2214yescomplemented
217#16840271C2212yescomplemented
218#16840269C2211yescharacteristic
219C2×#14519762C2212yescomplemented
220#123×D61C2214yescomplemented
221C2×#14519753C2211yescharacteristic, complemented
222C22⋊Q8×D61C2212yescomplemented
223C2×#14519752C2211yescharacteristic
224#121×D61C2212yes—
225#16840245C2211yescharacteristic, complemented
226#16840244C2212yescomplemented
227#16840244C2212yescomplemented
228#16840244C2212yescomplemented
229#16840243C2211yescharacteristic
230#16840243C2211yescharacteristic, complemented
231#16840243C2214yescomplemented
232#16840242C2211yescharacteristic
233#16840242C2212yescomplemented
234#16840240C2211yescharacteristic, complemented
235#16840238C2212yescomplemented
236#16840238C2212yescomplemented
237#16840236C2211yescharacteristic, complemented
238#16840236C2212yescomplemented
239#16840234C2214yescomplemented
240#16840234C2212yescomplemented
241#41×Dic61C2211yescharacteristic, complemented
242C4×#11758226C2212yescomplemented
243C4×#11758226C2212yescomplemented
244C4×#11758226C2211yescharacteristic, complemented
245C4×#11758226C2211yescharacteristic, complemented
246C4×#11758226C2212yescomplemented
247C4×#11758226C2214yescomplemented
248C4×#11758222C2211yescharacteristic
249C4×#11758222C2211yescharacteristic, complemented
250C4×#11758222C2212yescomplemented
251C4×#11758222C2212yescomplemented
252C4×#11758222C2214yescomplemented
253C4×#11758222C2212yescomplemented
254C4×#11758222C2212yescomplemented
255#16840230C2211yescharacteristic
256#16840230C2212yescomplemented
257#16840230C2214yescomplemented
258C4×#11758224C2212yescomplemented
259C4×#11758224C2212yescomplemented
260C4×#11758224C2211yescharacteristic, complemented
261C4×#11758224C2211yescharacteristic, complemented
262C4×Q8×D61C2212yescomplemented
263C4×Q8×D61C2211yescharacteristic, complemented
264C4×Q8×D61C2211yescharacteristic, complemented
265C4×Q8×D61C2212yescomplemented
266C2×C4×D244C2211yescharacteristic, complemented
267C2×C4×D244C2212yescomplemented
268C2×C4×D244C2212yescomplemented
269C4×D4×D61C2212yescomplemented
270C4×D4×D61C2212yescomplemented
271C4×D4×D61C2211yescharacteristic, complemented
272C4×D4×D61C2211yescharacteristic, complemented
273C4×D4×D61C2212yescomplemented
274C4×D4×D61C2214yescomplemented
275C4×D4×D61C2214yescomplemented
276C2×#14519734C2212yescomplemented
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×#541C2212yescomplemented
286C61×#541C2212yescomplemented
287C61×#539C2214yescomplemented
288C61×#537C2211yescharacteristic
289C61×#536C2211yescharacteristic, complemented
290C61×#536C2211yescharacteristic, complemented
291C61×#533C2212yescomplemented
292C61×#533C2212yescomplemented
293C61×#529C2212yescomplemented
294C61×#529C2214yescomplemented
295C61×#529C2212yescomplemented
296C4×#41×C61C2211yescharacteristic, complemented
297C4×#41×C61C2211yescharacteristic, complemented
298C2×C4×Q8×C61C2211yescharacteristic, complemented
299#14519825—28no—
300#14519823—28no—
301C2×#11758226C2311yescharacteristic
302C2×#11758226C2312yes—
303C2×#11758226C2312yes—
304C2×#11758226C2312yes—
305C2×#11758226C2314yes—
306C2×#11758222C2312yes—
307C2×#11758222C2312yes—
308C2×#11758222C2311yescharacteristic
309C2×#11758222C2314yes—
310C2×#11758222C2314yes—
311C2×#11758222C2312yes—
312C2×#11758222C2312yes—
313C2×#11758222C2311yescharacteristic
314C2×#11758224C2312yes—
315C2×#11758224C2311yescharacteristic
316#41×D61—28no—
317C2×Q8×D61C2311yescharacteristic
318C2×Q8×D61C2312yes—
319C2×Q8×D61C2312yes—
320C22×D244C2311yescharacteristic
321C22×D244C2312yes—
322C22×D244C2312yes—
323C2×D4×D61C2312yes—
324C2×D4×D61C2311yescharacteristic
325C2×D4×D61C2312yes—
326C2×D4×D61C2314yes—
327C2×D4×D61C2314yes—
328C22×C4×D61C2312yes—
329C22×C4×D61C2311yescharacteristic
330C22×C4×D61C2312yes—
331C22×C4×D61C2311yescharacteristic
332C22×C4×D61C2312yes—
333C22×C4×D61C2311yescharacteristic
334C22×C4×D61C2314yes—
335C22×C4×D61C2312yes—
336#14519777C2312yes—
337#14519776C2314yes—
338#14519776C2312yes—
339#14519776C2314yes—
340#14519776C2311yescharacteristic
341#14519776C2311yescharacteristic
342#14519775C2314yes—
343#14519775C2311yescharacteristic
344#14519774C2312yes—
345#14519773C2312yes—
346#14519773C2314yes—
347#14519773C2311yescharacteristic
348#14519772C2314yes—
349#14519772C2314yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2312yes—
353#14519772C2314yes—
354#14519772C2314yes—
355#14519772C2314yes—
356#14519772C2314yes—
357#14519772C2314yes—
358#14519772C2314yes—
359#14519772C2314yes—
360#14519772C2314yes—
361#14519772C2314yes—
362#14519772C2314yes—
363#14519772C2312yes—
364#14519771C2314yes—
365#14519770C2314yes—
366#14519770C2314yes—
367#14519770C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2312yes—
371#14519770C2312yes—
372#14519769C2312yes—
373#14519768C2314yes—
374#14519768C2314yes—
375#14519768C2312yes—
376#14519768C2312yes—
377#14519768C2312yes—
378#14519768C2311yescharacteristic
379#14519768C2312yes—
380#14519768C2312yes—
381#14519768C2311yescharacteristic
382#14519767C2312yes—
383#14519767C2314yes—
384#14519767C2314yes—
385#14519767C2314yes—
386#14519767C2314yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2312yes—
391#14519766C2314yes—
392#14519766C2314yes—
393#14519766C2312yes—
394#14519766C2312yes—
395#14519766C2312yes—
396#14519766C2312yes—
397#14519766C2312yes—
398#14519766C2311yescharacteristic
399#14519765C2312yes—
400#14519765C2314yes—
401#14519764C2311yescharacteristic
402#14519763C2312yes—
403#14519763C2314yes—
404#14519763C2314yes—
405#14519763C2314yes—
406#14519763C2314yes—
407#14519763C2314yes—
408#14519763C2314yes—
409#14519763C2314yes—
410#14519763C2314yes—
411#14519763C2312yes—
412#14519762C2314yes—
413#14519762C2314yes—
414#14519762C2312yes—
415#14519762C2314yes—
416#14519762C2314yes—
417#14519762C2314yes—
418#14519762C2314yes—
419#14519762C2314yes—
420#14519762C2314yes—
421#14519762C2314yes—
422#14519762C2314yes—
423#14519762C2314yes—
424#14519762C2314yes—
425#14519762C2312yes—
426#14519762C2314yes—
427#14519762C2314yes—
428#14519762C2314yes—
429#14519761C2314yes—
430#14519761C2314yes—
431#14519761C2314yes—
432#14519761C2314yes—
433#14519761C2314yes—
434#14519761C2312yes—
435#14519760C2314yes—
436#14519759C2314yes—
437#14519759C2314yes—
438#14519759C2314yes—
439#14519759C2314yes—
440#14519759C2312yes—
441#14519759C2312yes—
442#14519759C2314yes—
443#14519759C2314yes—
444#14519758C2312yes—
445#14519758C2314yes—
446#14519757C2314yes—
447#14519757C2314yes—
448#14519757C2314yes—
449#14519757C2314yes—
450#14519757C2314yes—
451#14519757C2311yescharacteristic
452#14519757C2311yescharacteristic
453#14519756C2312yes—
454#14519755C2314yes—
455#14519755C2314yes—
456#14519755C2314yes—
457#14519755C2312yes—
458#14519755C2314yes—
459#14519755C2314yes—
460#14519755C2314yes—
461#14519755C2312yes—
462#14519755C2314yes—
463#14519755C2314yes—
464#14519754C2314yes—
465#14519754C2314yes—
466#14519754C2314yes—
467#14519754C2312yes—
468#14519754C2312yes—
469#14519753C2312yes—
470#14519753C2312yes—
471#14519753C2314yes—
472#14519753C2314yes—
473#14519753C2312yes—
474#14519753C2314yes—
475#14519753C2312yes—
476#14519753C2312yes—
477#14519753C2311yescharacteristic
478#14519753C2311yescharacteristic
479#14519752C2314yes—
480#14519752C2314yes—
481#14519752C2314yes—
482#14519752C2314yes—
483#14519752C2314yes—
484#14519752C2314yes—
485#14519752C2314yes—
486#14519752C2312yes—
487#14519752C2312yes—
488#14519752C2312yes—
489#14519752C2312yes—
490#14519752C2312yes—
491#14519752C2312yes—
492#14519752C2311yescharacteristic
493#14519752C2311yescharacteristic
494#14519751C2312yes—
495#14519751C2312yes—
496#14519751C2312yes—
497#14519751C2314yes—
498#14519750C2314yes—
499#14519750C2314yes—
500#14519750C2314yes—
501#14519750C2312yes—
502#14519750C2314yes—
503#14519750C2314yes—
504#14519750C2314yes—
505#14519750C2314yes—
506#14519750C2314yes—
507#14519750C2314yes—
508#14519750C2312yes—
509#14519749C2312yes—
510#14519749C2314yes—
511#14519749C2314yes—
512#14519749C2314yes—
513#14519749C2312yes—
514#14519748C2314yes—
515#14519748C2312yes—
516#14519748C2311yescharacteristic
517#14519748C2311yescharacteristic
518#14519747C2312yes—
519#14519747C2314yes—
520#14519747C2314yes—
521#14519747C2314yes—
522#14519747C2314yes—
523#14519747C2314yes—
524#14519747C2314yes—
525#14519745C2312yes—
526#14519745C2314yes—
527#14519745C2314yes—
528Q8×Dic61C2311yescharacteristic
529Q8×Dic61C2312yes—
530Q8×Dic61C2314yes—
531Q8×Dic61C2312yes—
532Q8×Dic61C2311yescharacteristic
533Q8×Dic61C2312yes—
534Q8×Dic61C2312yes—
535Q8×Dic61C2312yes—
536C4×Dic122C2314yes—
537C4×Dic122C2312yes—
538C4×Dic122C2312yes—
539C4×Dic122C2312yes—
540C4×Dic122C2311yescharacteristic
541C4×Dic122C2314yes—
542C4×Dic122C2311yescharacteristic
543C4×Dic122C2311yescharacteristic
544C4×Dic122C2312yes—
545C4×Dic122C2312yes—
546C4×Dic122C2312yes—
547C4×Dic122C2311yescharacteristic
548C4×Dic122C2312yes—
549#14519742C2314yes—
550#14519742C2314yes—
551#14519742C2312yes—
552#14519742C2314yes—
553#14519742C2312yes—
554#14519742C2311yescharacteristic
555#14519742C2311yescharacteristic
556#14519742C2312yes—
557#14519742C2314yes—
558#14519742C2312yes—
559C4×D244C2314yes—
560C4×D244C2312yes—
561C4×D244C2314yes—
562C4×D244C2314yes—
563C4×D244C2314yes—
564C4×D244C2312yes—
565C4×D244C2312yes—
566C4×D244C2312yes—
567C4×D244C2312yes—
568C4×D244C2312yes—
569C4×D244C2311yescharacteristic
570C4×D244C2314yes—
571C4×D244C2314yes—
572C4×D244C2312yes—
573C4×D244C2311yescharacteristic
574C4×D244C2312yes—
575C4×D244C2312yes—
576C4×D244C2312yes—
577C4×D244C2312yes—
578C4×D244C2312yes—
579C4×D244C2314yes—
580C4×D244C2314yes—
581C4×D244C2312yes—
582C4×D244C2311yescharacteristic
583C4×D244C2311yescharacteristic
584C4×D244C2314yes—
585D4×Dic61C2314yes—
586D4×Dic61C2312yes—
587D4×Dic61C2311yescharacteristic
588D4×Dic61C2311yescharacteristic
589D4×Dic61C2312yes—
590D4×Dic61C2314yes—
591D4×Dic61C2312yes—
592#14519739C2314yes—
593#14519739C2314yes—
594#14519739C2314yes—
595#14519739C2314yes—
596#14519739C2314yes—
597#14519739C2314yes—
598#14519739C2312yes—
599#14519739C2312yes—
600#14519739C2314yes—
601#14519739C2311yescharacteristic
602#14519739C2312yes—
603#14519739C2314yes—
604#14519739C2311yescharacteristic
605#14519739C2312yes—
606#14519739C2314yes—
607#14519739C2312yes—
608#14519739C2314yes—
609#14519739C2312yes—
610C4×C22⋊D61C2312yes—
611C4×C22⋊D61C2312yes—
612C4×C22⋊D61C2314yes—
613C4×C22⋊D61C2312yes—
614C4×C22⋊D61C2314yes—
615C4×C22⋊D61C2312yes—
616C4×C22⋊D61C2314yes—
617C4×C22⋊D61C2312yes—
618C4×C22⋊D61C2312yes—
619C4×C22⋊D61C2312yes—
620C4×C22⋊D61C2314yes—
621C4×C22⋊D61C2312yes—
622C4×C22⋊D61C2312yes—
623C4×C22⋊D61C2312yes—
624C4×C22⋊D61C2312yes—
625C4×C22⋊D61C2312yes—
626C4×C22⋊D61C2314yes—
627C4×C22⋊D61C2312yes—
628C4×C22⋊D61C2312yes—
629C4×C22⋊D61C2312yes—
630C4×C22⋊D61C2312yes—
631#14519737C2314yes—
632#14519737C2314yes—
633#14519737C2314yes—
634#14519737C2312yes—
635#14519737C2312yes—
636#14519737C2312yes—
637#14519737C2312yes—
638#14519737C2314yes—
639#14519737C2314yes—
640#14519737C2314yes—
641#14519737C2312yes—
642#14519737C2314yes—
643#14519737C2312yes—
644#14519737C2314yes—
645#14519737C2314yes—
646#14519736C2314yes—
647#14519736C2312yes—
648#14519736C2312yes—
649#14519736C2311yescharacteristic
650#14519736C2312yes—
651#14519736C2312yes—
652#14519736C2311yescharacteristic
653#14519735C2314yes—
654#14519735C2312yes—
655#14519735C2314yes—
656#14519735C2311yescharacteristic
657#14519735C2312yes—
658#14519735C2314yes—
659#14519735C2311yescharacteristic
660#14519735C2314yes—
661#14519735C2312yes—
662#14519735C2314yes—
663#14519735C2312yes—
664#14519735C2314yes—
665#14519735C2312yes—
666#14519735C2314yes—
667#14519735C2314yes—
668#14519734C2314yes—
669#14519734C2314yes—
670#14519734C2312yes—
671#14519734C2314yes—
672#14519734C2314yes—
673#14519734C2314yes—
674#14519734C2312yes—
675#14519734C2312yes—
676#14519734C2312yes—
677#14519734C2314yes—
678#14519734C2314yes—
679#14519734C2312yes—
680#14519734C2312yes—
681#14519734C2314yes—
682#14519734C2312yes—
683#14519734C2312yes—
684#14519733C2312yes—
685#14519733C2312yes—
686#14519733C2314yes—
687#14519733C2314yes—
688#14519733C2312yes—
689C2×C4⋊Dic61C2312yes—
690C2×C4⋊Dic61C2312yes—
691C2×C4⋊Dic61C2311yescharacteristic
692C2×#11758196C2312yes—
693C2×#11758196C2312yes—
694C4⋊C4×D61C2314yes—
695C4⋊C4×D61C2314yes—
696C4⋊C4×D61C2314yes—
697C4⋊C4×D61C2312yes—
698C4⋊C4×D61C2312yes—
699C4⋊C4×D61C2314yes—
700C4⋊C4×D61C2314yes—
701C4⋊C4×D61C2311yescharacteristic
702C4⋊C4×D61C2312yes—
703C4⋊C4×D61C2311yescharacteristic
704C4⋊C4×D61C2312yes—
705C4⋊C4×D61C2312yes—
706C4⋊C4×D61C2314yes—
707C2×#11758198C2312yes—
708C2×#11758198C2312yes—
709C2×#11758198C2312yes—
710C2×#11758198C2314yes—
711C2×#11758198C2312yes—
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—
722C22⋊C4×D61C2314yes—
723C2×C4×Dic61C2311yescharacteristic
724C2×C4×Dic61C2312yes—
725C2×C4×Dic61C2311yescharacteristic
726C2×C4×Dic61C2312yes—
727C2×C4×Dic61C2311yescharacteristic
728C2×C4×Dic61C2312yes—
729C42×D61C2311yescharacteristic
730C42×D61C2312yes—
731C42×D61C2312yes—
732C42×D61C2311yescharacteristic
733C42×D61C2312yes—
734C42×D61C2311yescharacteristic
735C42×D61C2312yes—
736C42×D61C2311yescharacteristic
737C42×D61C2312yes—
738C42×D61C2311yescharacteristic
739C42×D61C2312yes—
740C42×D61C2311yescharacteristic
741C42×D61C2312yes—
742C42×D61C2311yescharacteristic
743C42×D61C2311yescharacteristic
744C42×D61C2314yes—
745C42×D61C2314yes—
746C42×D61C2314yes—
747C42×D61C2312yes—
748C2×#41×C61C2311yescharacteristic
749C2×#41×C61C2311yescharacteristic
750C22×Q8×C61C2311yescharacteristic
751C4⋊Q8×C61C2312yes—
752C4⋊Q8×C61C2312yes—
753C4⋊Q8×C61C2312yes—
754C4⋊Q8×C61C2312yes—
755#126×C61C2314yes—
756#126×C61C2314yes—
757#126×C61C2314yes—
758#126×C61C2314yes—
759#125×C61C2314yes—
760#125×C61C2314yes—
761#125×C61C2314yes—
762#125×C61C2312yes—
763#125×C61C2312yes—
764#124×C61C2312yes—
765#124×C61C2312yes—
766#124×C61C2314yes—
767#123×C61C2314yes—
768#123×C61C2314yes—
769#123×C61C2314yes—
770#123×C61C2314yes—
771C22⋊Q8×C61C2312yes—
772C22⋊Q8×C61C2312yes—
773C22⋊Q8×C61C2312yes—
774C22⋊Q8×C61C2312yes—
775C22⋊Q8×C61C2314yes—
776C22⋊Q8×C61C2314yes—
777C22⋊Q8×C61C2312yes—
778C22⋊Q8×C61C2312yes—
779C22⋊Q8×C61C2314yes—
780#121×C61C2314yes—
781#121×C61C2312yes—
782#121×C61C2312yes—
783C4×Q8×C61C2311yescharacteristic
784C4×Q8×C61C2311yescharacteristic
785C4×Q8×C61C2314yes—
786C4×Q8×C61C2312yes—
787C4×Q8×C61C2312yes—
788C4×Q8×C61C2311yescharacteristic
789C4×Q8×C61C2311yescharacteristic
790C4×Q8×C61C2312yes—
791C4×Q8×C61C2312yes—
792C4×D4×C61C2312yes—
793C4×D4×C61C2312yes—
794C4×D4×C61C2311yescharacteristic
795C4×D4×C61C2311yescharacteristic
796C4×D4×C61C2312yes—
797C4×D4×C61C2311yescharacteristic
798C4×D4×C61C2312yes—
799C4×D4×C61C2311yescharacteristic
800C4×D4×C61C2314yes—
801#117×C61C2314yes—
802#117×C61C2314yes—
803#117×C61C2311yescharacteristic
804#117×C61C2311yescharacteristic
805#117×C61C2312yes—
806#117×C61C2312yes—
807C2×C4⋊C4×C61C2311yescharacteristic
808C2×C4⋊C4×C61C2312yes—
809C2×C42×C61C2312yes—
810C2×C42×C61C2312yes—
811C2×C42×C61C2311yescharacteristic
812C2×C42×C61C2312yes—
813C23×D61C2412yes—
814C23×D61C2411yescharacteristic
815C23×D61C2414yes—
816C23×D61C2412yes—
817#41×C61—24no—
818#41×C61—24no—
819C2×Q8×C61—24no—
820C2×Q8×C61C2412yes—
821C2×Q8×C61C2412yes—
822C2×Q8×C61C2411yescharacteristic
823C2×Q8×C61C2411yescharacteristic
824C2×Q8×C61C2414yes—
825C2×D4×C61C2412yes—
826C2×D4×C61C2411yescharacteristic
827C2×D4×C61C2412yes—
828C2×D4×C61C2411yescharacteristic
829C2×D4×C61C2414yes—
830C22×C4×C61C2411yescharacteristic
831C22×C4×C61C2412yes—
832C22×C4×C61C2412yes—
833C22×C4×C61C2412yes—
834C22×C4×C61C2412yes—
835C22×C4×C61C2412yes—
836C22×C4×C61C2411yescharacteristic
837C22×C4×C61C2412yes—
838C22×C4×C61C2412yes—
839C22×C4×C61C2412yes—
840C22×C4×C61C2411yescharacteristic
841C2×C22⋊D61C2412yes—
842C2×C22⋊D61C2414yes—
843C2×C22⋊D61C2412yes—
844C2×C22⋊D61C2412yes—
845C2×C22⋊D61C2412yes—
846C2×C22⋊D61C2414yes—
847C2×C22⋊D61C2414yes—
848C2×C22⋊D61C2414yes—
849C2×C22⋊D61C2412yes—
850C2×C22⋊D61C2412yes—
851C2×C22⋊D61C2412yes—
852C2×C22⋊D61C2412yes—
853C22×Dic61C2411yescharacteristic
854C22×Dic61C2412yes—
855C22×Dic61C2411yescharacteristic
856C22×Dic61C2411yescharacteristic
857C22×Dic61C2412yes—
858C22×Dic61C2412yes—
859C22×Dic61C2412yes—
860C22×Dic61C2414yes—
861#11758226—24no—
862#11758226—28no—
863#11758226—28no—
864#11758226—28no—
865#11758226—48no—
866Q8×D61—28no—
867Q8×D61—24no—
868Q8×D61—28no—
869#11758224—28no—
870#11758224—24no—
871D4×D61—28no—
872D4×D61—216no—
873D4×D61—24no—
874D4×D61—28no—
875D4×D61—48no—
876#11758222—24no—
877#11758222—216no—
878#11758222—28no—
879#11758222—28no—
880#11758222—48no—
881#11758222—44no—
882#11758222—44no—
883#11758222#4118yescomplemented
884C2×D244—24no—
885C2×D244—28no—
886C2×D244—44no—
887C2×D244C2414yes—
888C2×D244C2414yes—
889C2×D244C2412yes—
890C2×D244C2412yes—
891C2×D244C2412yes—
892C2×D244C2414yes—
893C2×D244C2412yes—
894C2×D244C2411yescharacteristic
895C2×D244C2414yes—
896C2×D244C2414yes—
897C2×D244C2412yes—
898C2×D244C2414yes—
899C2×D244C2411yescharacteristic
900C2×C4×D61—24no—
901C2×C4×D61—28no—
902C2×C4×D61—44no—
903C2×C4×D61—48no—
904C2×C4×D61—42no—
905C2×C4×D61—44no—
906C2×C4×D61—42no—
907C2×C4×D61—44no—
908C2×C4×D61C2412yes—
909C2×C4×D61C2411yescharacteristic
910C2×C4×D61C2411yescharacteristic
911C2×C4×D61C2411yescharacteristic
912C2×C4×D61C2414yes—
913C2×C4×D61C2411yescharacteristic
914C2×C4×D61C2412yes—
915C2×C4×D61C2412yes—
916C2×C4×D61C2411yescharacteristic
917C2×C4×D61C2411yescharacteristic
918C2×C4×D61C2411yescharacteristic
919C2×C4×D61C2411yescharacteristic
920C2×C4×D61C2412yes—
921C2×C4×D61C2414yes—
922C2×C4×D61C2414yes—
923C2×C4×D61C2414yes—
924C2×C4×D61C2412yes—
925C2×C4×D61C2412yes—
926C2×C4×D61C2412yes—
927C2×C4×D61C2412yes—
928C2×C4×D61C2412yes—
929C2×C4×D61C2412yes—
930C2×C4×D61C2411yescharacteristic
931C2×C4×D61C2411yescharacteristic
932C2×C4×D61C2411yescharacteristic
933C2×C4×D61C2411yescharacteristic
934C2×C4×D61C2414yes—
935C2×C4×D61C2414yes—
936C2×C4×D61C2414yes—
937C2×C4×D61C2414yes—
938C2×C4×D61C2412yes—
939C2×C4×D61C2414yes—
940C2×C4×D61C2414yes—
941C2×C4×D61C2412yes—
942C2×Dic122C2414yes—
943C2×Dic122C2411yescharacteristic
944C2×Dic122C2412yes—
945C2×Dic122C2414yes—
946C2×Dic122C2412yes—
947C2×Dic122C2412yes—
948C2×Dic122C2411yescharacteristic
949C4⋊C4×C61C2412yes—
950C4⋊C4×C61C2412yes—
951C4⋊C4×C61C2414yes—
952C4⋊C4×C61C2414yes—
953C4⋊C4×C61C2411yescharacteristic
954C4⋊C4×C61C2411yescharacteristic
955C4⋊C4×C61C2412yes—
956C4⋊C4×C61C2412yes—
957C4⋊C4×C61C2411yescharacteristic
958C4⋊C4×C61C2411yescharacteristic
959C4⋊C4×C61C2412yes—
960C4⋊C4×C61C2412yes—
961C4⋊C4×C61C2414yes—
962C4⋊C4×C61C2414yes—
963C4⋊C4×C61C2414yes—
964C4⋊C4×C61C2414yes—
965C4⋊C4×C61C2414yes—
966C4⋊C4×C61C2414yes—
967C4⋊C4×C61C2414yes—
968C4⋊C4×C61C2414yes—
969C22⋊C4×C61C2412yes—
970C22⋊C4×C61C2412yes—
971C22⋊C4×C61C2412yes—
972C22⋊C4×C61C2412yes—
973C22⋊C4×C61C2412yes—
974C22⋊C4×C61C2412yes—
975C22⋊C4×C61C2414yes—
976C22⋊C4×C61C2414yes—
977C22⋊C4×C61C2414yes—
978C22⋊C4×C61C2414yes—
979C22⋊C4×C61C2414yes—
980C22⋊C4×C61C2414yes—
981C42×C61C2411yescharacteristic
982C42×C61C2411yescharacteristic
983C42×C61C2411yescharacteristic
984C42×C61C2411yescharacteristic
985C42×C61C2412yes—
986C42×C61C2412yes—
987C42×C61C2414yes—
988C42×C61C2412yes—
989C42×C61C2412yes—
990C42×C61C2412yes—
991C42×C61C2412yes—
992C42×C61C2414yes—
993C22⋊Dic61C2412yes—
994C22⋊Dic61C2412yes—
995C22⋊Dic61C2412yes—
996C22⋊Dic61C2414yes—
997C22⋊Dic61C2412yes—
998C22⋊Dic61C2412yes—
999C22⋊Dic61C2412yes—
1000C22⋊Dic61C2414yes—
1001C22⋊Dic61C2412yes—
1002C22⋊Dic61C2412yes—
1003#11758198C2412yes—
1004#11758198C2412yes—
1005#11758198C2414yes—
1006#11758198C2412yes—
1007#11758198C2414yes—
1008#11758198C2414yes—
1009#11758198C2414yes—
1010#11758198C2414yes—
1011#11758198C2414yes—
1012#11758198C2414yes—
1013#11758198C2414yes—
1014#11758198C2412yes—
1015#11758198C2412yes—
1016#11758198C2412yes—
1017#11758198C2412yes—
1018#11758198C2414yes—
1019#11758198C2414yes—
1020#11758198C2414yes—
1021#11758198C2414yes—
1022#11758198C2414yes—
1023#11758198C2414yes—
1024#11758198C2414yes—
1025#11758198C2414yes—
1026#11758198C2412yes—
1027#11758198C2414yes—
1028#11758198C2412yes—
1029#11758198C2414yes—
1030#11758198C2412yes—
1031#11758198C2412yes—
1032#11758198C2412yes—
1033#11758198C2412yes—
1034#11758198C2412yes—
1035#11758198C2412yes—
1036#11758198C2412yes—
1037#11758198C2414yes—
1038#11758198C2414yes—
1039C4⋊Dic61C2411yescharacteristic
1040C4⋊Dic61C2412yes—
1041C4⋊Dic61C2412yes—
1042C4⋊Dic61C2411yescharacteristic
1043C4⋊Dic61C2414yes—
1044C4⋊Dic61C2411yescharacteristic
1045C4⋊Dic61C2412yes—
1046C4⋊Dic61C2414yes—
1047C4⋊Dic61C2414yes—
1048C4⋊Dic61C2412yes—
1049C4⋊Dic61C2412yes—
1050C4⋊Dic61C2412yes—
1051C4⋊Dic61C2414yes—
1052C4⋊Dic61C2411yescharacteristic
1053C4⋊Dic61C2414yes—
1054C4⋊Dic61C2412yes—
1055C4⋊Dic61C2414yes—
1056C4⋊Dic61C2412yes—
1057#11758196C2412yes—
1058#11758196C2412yes—
1059#11758196C2414yes—
1060#11758196C2412yes—
1061#11758196C2414yes—
1062#11758196C2414yes—
1063#11758196C2412yes—
1064#11758196C2414yes—
1065#11758196C2414yes—
1066#11758196C2412yes—
1067#11758196C2412yes—
1068#11758196C2412yes—
1069#11758196C2412yes—
1070#11758196C2414yes—
1071#11758196C2414yes—
1072#11758196C2414yes—
1073#11758196C2414yes—
1074#11758196C2414yes—
1075#11758196C2412yes—
1076#11758196C2412yes—
1077#11758196C2412yes—
1078#11758196C2412yes—
1079#11758196C2412yes—
1080#11758196C2412yes—
1081#11758196C2412yes—
1082#11758196C2412yes—
1083C4×Dic61C2412yes—
1084C4×Dic61C2411yescharacteristic
1085C4×Dic61C2411yescharacteristic
1086C4×Dic61C2411yescharacteristic
1087C4×Dic61C2412yes—
1088C4×Dic61C2412yes—
1089C4×Dic61C2411yescharacteristic
1090C4×Dic61C2411yescharacteristic
1091C4×Dic61C2412yes—
1092C4×Dic61C2412yes—
1093C4×Dic61C2411yescharacteristic
1094C4×Dic61C2411yescharacteristic
1095C4×Dic61C2411yescharacteristic
1096C4×Dic61C2412yes—
1097C4×Dic61C2411yescharacteristic
1098C4×Dic61C2412yes—
1099C4×Dic61C2412yes—
1100C4×Dic61C2412yes—
1101C4×Dic61C2412yes—
1102C4×Dic61C2411yescharacteristic
1103C4×Dic61C2411yescharacteristic
1104C4×Dic61C2411yescharacteristic
1105C4×Dic61C2414yes—
1106C4×Dic61C2414yes—
1107C4×Dic61C2414yes—
1108C4×Dic61C2414yes—
1109C4×Dic61C2412yes—
1110C4×Dic61C2412yes—
1111C4×Dic61C2414yes—
1112C4×Dic61C2414yes—
1113C23×C61C2512yes—
1114C23×C61C2512yes—
1115C23×C61C2511yescharacteristic
1116C22×D61—22no—
1117C22×D61—24no—
1118C22×D61—24no—
1119C22×D61—22no—
1120C22×D61—24no—
1121C22×D61—28no—
1122C22×D61—42no—
1123C22×D61—41no—
1124C22×D61—44no—
1125C22×D61—42no—
1126C22×D61—42no—
1127C22×D61—44no—
1128C22×D61C2514yes—
1129C22×D61C2511yescharacteristic
1130C22×D61C2512yes—
1131C22×D61C2512yes—
1132C22×D61C2511yescharacteristic
1133Q8×C61—24no—
1134Q8×C61—24no—
1135Q8×C61—22no—
1136Q8×C61—22no—
1137Q8×C61—44no—
1138D4×C61—24no—
1139D4×C61—24no—
1140D4×C61—22no—
1141D4×C61—22no—
1142D4×C61—44no—
1143C2×C4×C61—24no—
1144C2×C4×C61—24no—
1145C2×C4×C61—24no—
1146C2×C4×C61—22no—
1147C2×C4×C61—24no—
1148C2×C4×C61—24no—
1149C2×C4×C61—41no—
1150C2×C4×C61—42no—
1151C2×C4×C61—42no—
1152C2×C4×C61—42no—
1153C2×C4×C61C2×#4114yes—
1154C2×C4×C61C2511yescharacteristic
1155C2×C4×C61C2511yescharacteristic
1156C2×C4×C61C2512yes—
1157C2×C4×C61C2512yes—
1158C2×C4×C61C2514yes—
1159C2×C4×C61C2511yescharacteristic
1160C2×C4×C61C2512yes—
1161C2×C4×C61C2514yes—
1162C2×C4×C61C2512yes—
1163C2×C4×C61C2512yes—
1164C2×C4×C61C2512yes—
1165C2×C4×C61C2511yescharacteristic
1166C2×C4×C61C2511yescharacteristic
1167C2×C4×C61C2511yescharacteristic
1168C22⋊D61—24no—
1169C22⋊D61—24no—
1170C22⋊D61—24no—
1171C22⋊D61—28no—
1172C22⋊D61—24no—
1173C22⋊D61—44no—
1174C22⋊D61—42no—
1175C22⋊D61—42no—
1176C22⋊D61—42no—
1177C22⋊D61—44no—
1178C22⋊D61—44no—
1179C22⋊D61C2×#4118yes—
1180C2×Dic61—22no—
1181C2×Dic61—24no—
1182C2×Dic61—41no—
1183C2×Dic61—41no—
1184C2×Dic61—42no—
1185C2×Dic61—44no—
1186C2×Dic61—42no—
1187C2×Dic61—42no—
1188C2×Dic61C2511yescharacteristic
1189C2×Dic61C2511yescharacteristic
1190C2×Dic61C2512yes—
1191C2×Dic61C2511yescharacteristic
1192C2×Dic61C2512yes—
1193C2×Dic61C2512yes—
1194C2×Dic61C2512yes—
1195C2×Dic61C2511yescharacteristic
1196C2×Dic61C2511yescharacteristic
1197C2×Dic61C2512yes—
1198C2×Dic61C2511yescharacteristic
1199C2×Dic61C2514yes—
1200C2×Dic61C2512yes—
1201D244—28no—
1202D244—24no—
1203D244—28no—
1204D244—28no—
1205D244—24no—
1206D244—24no—
1207D244—24no—
1208D244—22no—
1209D244—44no—
1210D244—44no—
1211D244—42no—
1212D244—44no—
1213D244C2×#4114yes—
1214C4×D61—24no—
1215C4×D61—28no—
1216C4×D61—22no—
1217C4×D61—22no—
1218C4×D61—24no—
1219C4×D61—22no—
1220C4×D61—22no—
1221C4×D61—22no—
1222C4×D61—22no—
1223C4×D61—24no—
1224C4×D61—22no—
1225C4×D61—24no—
1226C4×D61—28no—
1227C4×D61—22no—
1228C4×D61—24no—
1229C4×D61—24no—
1230C4×D61—28no—
1231C4×D61—28no—
1232C4×D61—41no—
1233C4×D61—41no—
1234C4×D61—44no—
1235C4×D61—44no—
1236C4×D61—42no—
1237C4×D61—42no—
1238C4×D61—42no—
1239C4×D61—44no—
1240C4×D61—41no—
1241C4×D61—42no—
1242C4×D61—41no—
1243C4×D61—42no—
1244C4×D61—44no—
1245C4×D61—44no—
1246C4×D61—44no—
1247C4×D61C2×#4118yes—
1248Dic122—22no—
1249Dic122—24no—
1250Dic122—28no—
1251Dic122—42no—
1252Dic122—44no—
1253Dic122—42no—
1254Dic122C2×#4114yes—
1255#62810—611nomaximal, Sylow
1256C22×C61—21no—
1257C22×C61—21no—
1258C22×C61—22no—
1259C22×C61—22no—
1260C22×C61—22no—
1261C22×C61—22no—
1262C22×C61—22no—
1263C22×C61—22no—
1264C22×C61C22×#4112yes—
1265C22×C61C2611yescharacteristic
1266C2×D61—21no—
1267C2×D61—21no—
1268C2×D61—22no—
1269C2×D61—22no—
1270C2×D61—22no—
1271C2×D61—21no—
1272C2×D61—24no—
1273C2×D61—24no—
1274C2×D61—21no—
1275C2×D61—22no—
1276C2×D61—22no—
1277C2×D61—21no—
1278C2×D61—24no—
1279C2×D61—48no—
1280C2×D61—44no—
1281C2×D61—88no—
1282C2×D61—84no—
1283C2×D61C22×#4114yes—
1284C2×D61#58512yes—
1285C4×C61—22no—
1286C4×C61—24no—
1287C4×C61—22no—
1288C4×C61—22no—
1289C4×C61—22no—
1290C4×C61—22no—
1291C4×C61—21no—
1292C4×C61—21no—
1293C4×C61—22no—
1294C4×C61—21no—
1295C4×C61—24no—
1296C4×C61C22×#4112yes—
1297C4×C61C22×#4112yes—
1298C4×C61#58512yes—
1299Dic61—22no—
1300Dic61—21no—
1301Dic61—21no—
1302Dic61—22no—
1303Dic61—21no—
1304Dic61—21no—
1305Dic61—24no—
1306Dic61—22no—
1307Dic61—22no—
1308Dic61—21no—
1309Dic61—21no—
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—612no—
1325#3495—611no—
1326#3494—611no—
1327#3494—612no—
1328#3489—611no—
1329#3488—611no—
1330#3482—612no—
1331#3481—614no—
1332#3481—612no—
1333#3480—612no—
1334#3475—612no—
1335#3475—614no—
1336#3461—612no—
1337#3461D6111yescharacteristic, complemented
1338#3460—612no—
1339#3460—611no—
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—42no—
1350C2×C61C23×#4111yescharacteristic
1351C2×C61C2×#58511yescharacteristic
1352C2×C61C2×#58511yescharacteristic
1353D61—22no—
1354D61—24no—
1355D61—42no—
1356D61—41no—
1357D61—44no—
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—612no—
1369#556—614no—
1370#556—614no—
1371#556—612no—
1372#556—614no—
1373#555—612no—
1374#555—614no—
1375#554—612no—
1376#554—614no—
1377#554—612no—
1378#554—614no—
1379#554—612no—
1380#554—614no—
1381#553—614no—
1382#553—614no—
1383#553—614no—
1384#553—614no—
1385#553—614no—
1386#553—614no—
1387#553—612no—
1388#553—612no—
1389#553—614no—
1390#553—614no—
1391#553—614no—
1392#553—612no—
1393#553—614no—
1394#553—612no—
1395#552—614no—
1396#552—614no—
1397#552—614no—
1398#552—614no—
1399#552—614no—
1400#552—614no—
1401#552—614no—
1402#552—612no—
1403#552—612no—
1404#552—612no—
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—612no—
1425#547—612no—
1426#547—614no—
1427#547—614no—
1428#546—612no—
1429#546—614no—
1430#546—614no—
1431#546—614no—
1432#546—614no—
1433#546—614no—
1434#546—612no—
1435#546—612no—
1436#546—614no—
1437#546—612no—
1438#546—614no—
1439D42—614no—
1440D42—612no—
1441#544—612no—
1442#544—612no—
1443#544—611no—
1444#544C2×D6111yescharacteristic, complemented
1445#542—612no—
1446#542—614no—
1447#542—612no—
1448#542—612no—
1449#542—612no—
1450#542—614no—
1451#542—612no—
1452#542—612no—
1453#542C2×D6112yescomplemented
1454#542C2×D6112yescomplemented
1455#541—612no—
1456#541—614no—
1457#541—612no—
1458#541C2×D6112yescomplemented
1459#541C2×D6112yescomplemented
1460#540—612no—
1461#540—614no—
1462#540—612no—
1463#540—612no—
1464#540—612no—
1465#539—614no—
1466#539—614no—
1467#539C2×D6114yescomplemented
1468#538—614no—
1469#538—614no—
1470#538—614no—
1471#537—611no—
1472#537—612no—
1473#537—612no—
1474#537C2×D6111yescharacteristic
1475#536—612no—
1476#536—612no—
1477#536C2×D6111yescharacteristic, complemented
1478#536C2×D6111yescharacteristic, complemented
1479#535—611no—
1480#535—612no—
1481#535—612no—
1482#535—611no—
1483#533—612no—
1484#533—612no—
1485#533—611no—
1486#533—611no—
1487#533—614no—
1488#533—611no—
1489#533C2×D6112yescomplemented
1490#533C2×D6112yescomplemented
1491#532—611no—
1492#532—612no—
1493#532—612no—
1494#532—611no—
1495#532—611no—
1496#532—614no—
1497#532—612no—
1498#532—612no—
1499#529—614no—
1500#529—612no—
1501#529—614no—
1502#529—614no—
1503#529—612no—
1504#529—614no—
1505#529—612no—
1506#529—612no—
1507#529—612no—
1508#529—614no—
1509#529—612no—
1510#529—612no—
1511#529—612no—
1512#529—612no—
1513#529—612no—
1514#529—612no—
1515#529—612no—
1516#529—612no—
1517#529—612no—
1518#529—611no—
1519#529—614no—
1520#529—611no—
1521#529—612no—
1522#529—614no—
1523#529—614no—
1524#529—612no—
1525#529—612no—
1526#529—611no—
1527#529—611no—
1528#529—614no—
1529#529—612no—
1530#529—612no—
1531#529—614no—
1532#529—614no—
1533#529—614no—
1534#529—612no—
1535#529C2×D6112yescomplemented
1536#529C2×D6114yescomplemented
1537#529C2×D6112yescomplemented
1538C2×#126—614no—
1539C2×#126—612no—
1540C2×#125—612no—
1541C2×#125—611no—
1542C2×#124—611no—
1543C2×#124—612no—
1544#525—611no—
1545#525—612no—
1546#525—612no—
1547#525—614no—
1548#525—612no—
1549#525—612no—
1550#525—614no—
1551#525—614no—
1552#525—614no—
1553#525—611no—
1554#525—614no—
1555C2×#123—614no—
1556C2×#123—612no—
1557C2×C22⋊Q8—611no—
1558C2×C22⋊Q8—612no—
1559C2×#121—612no—
1560C2×#121—611no—
1561#520—611no—
1562#520—612no—
1563#520—612no—
1564#520—612no—
1565#520—611no—
1566#520—612no—
1567#520—611no—
1568#520—611no—
1569#520—614no—
1570#519—611no—
1571#519—612no—
1572#519—612no—
1573#518—612no—
1574#518—614no—
1575#518—611no—
1576#518—612no—
1577C4×#41—611no—
1578C4×#41—611no—
1579C4×#41—611no—
1580C4×#41—612no—
1581C4×#41—612no—
1582C4×#41—612no—
1583C4×#41—614no—
1584C4×#41—612no—
1585C4×#41—611no—
1586C4×#41—612no—
1587C4×#41—611no—
1588C4×#41—611no—
1589C4×#41—612no—
1590C4×#41—614no—
1591C4×#41—611no—
1592C4×#41—612no—
1593C4×#41—612no—
1594C4×#41—611no—
1595C4×#41—614no—
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—612no—
1604C2×C4×Q8C2×D6111yescharacteristic, complemented
1605C2×C4×D4—612no—
1606C2×C4×D4—611no—
1607C2×C4×D4—612no—
1608C2×C4×D4—611no—
1609C2×C4×D4—612no—
1610C2×C4×D4—614no—
1611C2×C4×D4—614no—
1612C2×C4×D4—611no—
1613C2×C4×D4—612no—
1614C2×C4×D4—612no—
1615C2×#117—611no—
1616C2×#117—612no—
1617C2×#117—614no—
1618C2×#117—612no—
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—612no—
1627C2×#41—612no—
1628C2×#41—614no—
1629C2×#41—612no—
1630C2×#41—611no—
1631C2×#41—611no—
1632C2×#41—612no—
1633C2×#41—611no—
1634C2×#41—614no—
1635C2×#41—612no—
1636C2×#41—612no—
1637C2×#41—614no—
1638C2×#41—612no—
1639C2×#41—1228no—
1640C2×#41C22×D6111yescharacteristic
1641C2×#41C22×D6111yescharacteristic
1642C22×Q8—611no—
1643C22×Q8—612no—
1644C22×Q8—612no—
1645C22×Q8C22×D6111yescharacteristic
1646C22×D4—612no—
1647C22×D4—611no—
1648C22×D4—612no—
1649C22×D4—614no—
1650C22×D4—614no—
1651C22×D4—611no—
1652C22×D4—612no—
1653C22×D4—612no—
1654C23×C4—612no—
1655C23×C4—611no—
1656C23×C4—612no—
1657C23×C4—614no—
1658C23×C4—611no—
1659C23×C4—612no—
1660C23×C4—611no—
1661C23×C4—612no—
1662C4⋊Q8—611no—
1663C4⋊Q8—614no—
1664C4⋊Q8—611no—
1665C4⋊Q8—611no—
1666C4⋊Q8—614no—
1667C4⋊Q8—612no—
1668C4⋊Q8—614no—
1669C4⋊Q8—612no—
1670C4⋊Q8C22×D6112yes—
1671C4⋊Q8C22×D6112yes—
1672C4⋊Q8C22×D6112yes—
1673C4⋊Q8C22×D6112yes—
1674#127—611no—
1675#127—614no—
1676#127—612no—
1677#127—612no—
1678#126—614no—
1679#126—614no—
1680#126—614no—
1681#126—614no—
1682#126—614no—
1683#126—614no—
1684#126—612no—
1685#126—614no—
1686#126—614no—
1687#126—612no—
1688#126—614no—
1689#126—614no—
1690#126—614no—
1691#126—614no—
1692#126—614no—
1693#126—614no—
1694#126—612no—
1695#126—614no—
1696#126—614no—
1697#126—612no—
1698#126—614no—
1699#126—614no—
1700#126—614no—
1701#126—614no—
1702#126C22×D6114yes—
1703#126C22×D6114yes—
1704#126C22×D6114yes—
1705#126C22×D6114yes—
1706#125—612no—
1707#125—611no—
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—612no—
1719#125—614no—
1720#125—614no—
1721#125—614no—
1722#125—614no—
1723#125—614no—
1724#125—612no—
1725#125C22×D6112yes—
1726#125C22×D6114yes—
1727#125C22×D6114yes—
1728#125C22×D6112yes—
1729#125C22×D6114yes—
1730#124—612no—
1731#124—612no—
1732#124—612no—
1733#124—612no—
1734#124—611no—
1735#124—614no—
1736#124—612no—
1737#124—614no—
1738#124—611no—
1739#124—614no—
1740#124—614no—
1741#124—612no—
1742#124—612no—
1743#124—614no—
1744#124—614no—
1745#124—614no—
1746#124—614no—
1747#124—614no—
1748#124—614no—
1749#124—612no—
1750#124—614no—
1751#124C22×D6112yes—
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—612no—
1763#123—614no—
1764#123—614no—
1765#123—612no—
1766#123—614no—
1767#123—614no—
1768#123—614no—
1769#123—614no—
1770#123—614no—
1771#123—614no—
1772#123—614no—
1773#123—614no—
1774#123—612no—
1775#123—614no—
1776#123—614no—
1777#123—612no—
1778#123—612no—
1779#123—614no—
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—612no—
1793C22⋊Q8—612no—
1794C22⋊Q8—612no—
1795C22⋊Q8—612no—
1796C22⋊Q8—611no—
1797C22⋊Q8—611no—
1798C22⋊Q8—614no—
1799C22⋊Q8—612no—
1800C22⋊Q8—614no—
1801C22⋊Q8—614no—
1802C22⋊Q8—612no—
1803C22⋊Q8—611no—
1804C22⋊Q8—614no—
1805C22⋊Q8—611no—
1806C22⋊Q8—612no—
1807C22⋊Q8—612no—
1808C22⋊Q8—614no—
1809C22⋊Q8—614no—
1810C22⋊Q8—614no—
1811C22⋊Q8—614no—
1812C22⋊Q8—614no—
1813C22⋊Q8—614no—
1814C22⋊Q8—614no—
1815C22⋊Q8—614no—
1816C22⋊Q8—614no—
1817C22⋊Q8—614no—
1818C22⋊Q8—614no—
1819C22⋊Q8—614no—
1820C22⋊Q8—614no—
1821C22⋊Q8—612no—
1822C22⋊Q8—612no—
1823C22⋊Q8—614no—
1824C22⋊Q8—614no—
1825C22⋊Q8C22×D6112yes—
1826C22⋊Q8C22×D6112yes—
1827C22⋊Q8C22×D6112yes—
1828C22⋊Q8C22×D6114yes—
1829C22⋊Q8C22×D6112yes—
1830C22⋊Q8C22×D6114yes—
1831C22⋊Q8C22×D6112yes—
1832C22⋊Q8C22×D6112yes—
1833C22⋊Q8C22×D6114yes—
1834#121—611no—
1835#121—614no—
1836#121—611no—
1837#121—612no—
1838#121—612no—
1839#121—614no—
1840#121—614no—
1841#121—612no—
1842#121—614no—
1843#121—612no—
1844#121—612no—
1845#121—612no—
1846#121—614no—
1847#121—612no—
1848#121—612no—
1849#121—612no—
1850#121—612no—
1851#121—611no—
1852#121—611no—
1853#121—614no—
1854#121—614no—
1855#121—614no—
1856#121—614no—
1857#121—614no—
1858#121—612no—
1859#121—614no—
1860#121—612no—
1861#121—614no—
1862#121—614no—
1863#121—612no—
1864#121—612no—
1865#121—614no—
1866#121—614no—
1867#121—614no—
1868#121—614no—
1869#121—614no—
1870#121—614no—
1871#121—614no—
1872#121—614no—
1873#121C22×D6112yes—
1874#121C22×D6114yes—
1875#121C22×D6112yes—
1876#120—612no—
1877#120—614no—
1878#120—614no—
1879#120—614no—
1880#120—614no—
1881#120—612no—
1882#120—614no—
1883#120—614no—
1884#120—614no—
1885#120—614no—
1886C4×Q8—611no—
1887C4×Q8—611no—
1888C4×Q8—612no—
1889C4×Q8—612no—
1890C4×Q8—612no—
1891C4×Q8—612no—
1892C4×Q8—612no—
1893C4×Q8—614no—
1894C4×Q8—611no—
1895C4×Q8—611no—
1896C4×Q8—612no—
1897C4×Q8—612no—
1898C4×Q8—614no—
1899C4×Q8—612no—
1900C4×Q8—612no—
1901C4×Q8—614no—
1902C4×Q8—614no—
1903C4×Q8—614no—
1904C4×Q8—611no—
1905C4×Q8—614no—
1906C4×Q8—611no—
1907C4×Q8—611no—
1908C4×Q8—612no—
1909C4×Q8—612no—
1910C4×Q8—611no—
1911C4×Q8—614no—
1912C4×Q8—612no—
1913C4×Q8—612no—
1914C4×Q8—612no—
1915C4×Q8—612no—
1916C4×Q8—612no—
1917C4×Q8C22×D6112yes—
1918C4×Q8C22×D6112yes—
1919C4×Q8C22×D6111yescharacteristic
1920C4×Q8C22×D6111yescharacteristic
1921C4×Q8C22×D6112yes—
1922C4×Q8C22×D6112yes—
1923C4×Q8C22×D6111yescharacteristic
1924C4×Q8C22×D6114yes—
1925C4×Q8C22×D6111yescharacteristic
1926C4×D4—612no—
1927C4×D4—612no—
1928C4×D4—611no—
1929C4×D4—611no—
1930C4×D4—612no—
1931C4×D4—614no—
1932C4×D4—614no—
1933C4×D4—612no—
1934C4×D4—612no—
1935C4×D4—614no—
1936C4×D4—612no—
1937C4×D4—612no—
1938C4×D4—612no—
1939C4×D4—612no—
1940C4×D4—612no—
1941C4×D4—614no—
1942C4×D4—612no—
1943C4×D4—614no—
1944C4×D4—612no—
1945C4×D4—614no—
1946C4×D4—614no—
1947C4×D4—612no—
1948C4×D4—612no—
1949C4×D4—612no—
1950C4×D4—612no—
1951C4×D4—612no—
1952C4×D4—612no—
1953C4×D4—612no—
1954C4×D4—611no—
1955C4×D4—611no—
1956C4×D4—612no—
1957C4×D4—612no—
1958C4×D4—612no—
1959C4×D4—614no—
1960C4×D4—614no—
1961C4×D4—614no—
1962C4×D4—612no—
1963C4×D4—614no—
1964C4×D4—612no—
1965C4×D4—612no—
1966C4×D4—614no—
1967C4×D4—614no—
1968C4×D4—614no—
1969C4×D4—614no—
1970C4×D4—614no—
1971C4×D4—614no—
1972C4×D4—612no—
1973C4×D4—612no—
1974C4×D4—612no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—612no—
1978C4×D4—614no—
1979C4×D4—614no—
1980C4×D4—614no—
1981C4×D4—614no—
1982C4×D4—614no—
1983C4×D4—614no—
1984C4×D4—614no—
1985C4×D4—614no—
1986C4×D4—614no—
1987C4×D4—611no—
1988C4×D4—614no—
1989C4×D4—614no—
1990C4×D4—612no—
1991C4×D4—612no—
1992C4×D4—611no—
1993C4×D4—612no—
1994C4×D4—612no—
1995C4×D4—612no—
1996C4×D4—612no—
1997C4×D4—612no—
1998C4×D4—614no—
1999C4×D4—612no—
2000C4×D4—614no—
2001C4×D4—614no—
2002C4×D4—614no—
2003C4×D4—614no—
2004C4×D4—612no—
2005C4×D4—611no—
2006C4×D4—612no—
2007C4×D4—611no—
2008C4×D4—614no—
2009C4×D4—614no—
2010C4×D4—612no—
2011C4×D4—612no—
2012C4×D4—612no—
2013C4×D4C22×D6112yes—
2014C4×D4C22×D6111yescharacteristic
2015C4×D4C22×D6112yes—
2016C4×D4C22×D6111yescharacteristic
2017C4×D4C22×D6112yes—
2018C4×D4C22×D6111yescharacteristic
2019C4×D4C22×D6114yes—
2020C4×D4C22×D6112yes—
2021C4×D4C22×D6111yescharacteristic
2022#117—612no—
2023#117—611no—
2024#117—612no—
2025#117—612no—
2026#117—611no—
2027#117—614no—
2028#117—612no—
2029#117—612no—
2030#117—612no—
2031#117—611no—
2032#117—611no—
2033#117—614no—
2034#117—614no—
2035#117—612no—
2036#117—614no—
2037#117—612no—
2038#117—614no—
2039#117—614no—
2040#117—612no—
2041#117—614no—
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—612no—
2051#117—612no—
2052#117—612no—
2053#117—614no—
2054#117—614no—
2055#117—614no—
2056#117—614no—
2057#117—612no—
2058#117—614no—
2059#117—612no—
2060#117—614no—
2061#117—614no—
2062#117—612no—
2063#117—612no—
2064#117—612no—
2065#117C22×D6111yescharacteristic
2066#117C22×D6112yes—
2067#117C22×D6114yes—
2068#117C22×D6114yes—
2069#117C22×D6111yescharacteristic
2070#117C22×D6112yes—
2071C2×C4⋊C4—612no—
2072C2×C4⋊C4—612no—
2073C2×C4⋊C4—611no—
2074C2×C4⋊C4—612no—
2075C2×C4⋊C4—612no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—611no—
2078C2×C4⋊C4—612no—
2079C2×C4⋊C4—611no—
2080C2×C4⋊C4—614no—
2081C2×C4⋊C4—614no—
2082C2×C4⋊C4—612no—
2083C2×C4⋊C4—614no—
2084C2×C4⋊C4—614no—
2085C2×C4⋊C4—612no—
2086C2×C4⋊C4—614no—
2087C2×C4⋊C4—614no—
2088C2×C4⋊C4—612no—
2089C2×C4⋊C4C22×D6111yescharacteristic
2090C2×C4⋊C4C22×D6112yes—
2091C2×C22⋊C4—612no—
2092C2×C22⋊C4—612no—
2093C2×C22⋊C4—612no—
2094C2×C22⋊C4—614no—
2095C2×C22⋊C4—612no—
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⋊C4—614no—
2107C2×C42—611no—
2108C2×C42—612no—
2109C2×C42—611no—
2110C2×C42—611no—
2111C2×C42—612no—
2112C2×C42—612no—
2113C2×C42—612no—
2114C2×C42—612no—
2115C2×C42—611no—
2116C2×C42—614no—
2117C2×C42—612no—
2118C2×C42—612no—
2119C2×C42—611no—
2120C2×C42—612no—
2121C2×C42—611no—
2122C2×C42—614no—
2123C2×C42—614no—
2124C2×C42—612no—
2125C2×C42—611no—
2126C2×C42—612no—
2127C2×C42—612no—
2128C2×C42—611no—
2129C2×C42—611no—
2130C2×C42—611no—
2131C2×C42—611no—
2132C2×C42C22×D6112yes—
2133C2×C42C22×D6111yescharacteristic
2134C2×C42C22×D6112yes—
2135C2×C42C22×D6112yes—
2136C24—612no—
2137C24—611no—
2138C24—614no—
2139C24—612no—
2140#41—24no—
2141#41—24no—
2142#41—618no—
2143#41—1228no—
2144#41—12216no—
2145#41—1228no—
2146#41—1228no—
2147#41—1228no—
2148#41—1228no—
2149#41—1224no—
2150#41—1224no—
2151#41—1228no—
2152#41—1224no—
2153#41—2444no—
2154#41—2448no—
2155#41—2444no—
2156#41—2448no—
2157C2×Q8—24no—
2158C2×Q8—611no—
2159C2×Q8—614no—
2160C2×Q8—611no—
2161C2×Q8—612no—
2162C2×Q8—612no—
2163C2×Q8—614no—
2164C2×Q8—612no—
2165C2×Q8—1228no—
2166C2×Q8—1224no—
2167C2×Q8—1228no—
2168C2×Q8C23×D6112yes—
2169C2×Q8C23×D6112yes—
2170C2×Q8C23×D6111yescharacteristic
2171C2×Q8C23×D6111yescharacteristic
2172C2×Q8C23×D6114yes—
2173C2×D4—612no—
2174C2×D4—612no—
2175C2×D4—612no—
2176C2×D4—612no—
2177C2×D4—614no—
2178C2×D4—612no—
2179C2×D4—614no—
2180C2×D4—612no—
2181C2×D4—612no—
2182C2×D4—612no—
2183C2×D4—614no—
2184C2×D4—614no—
2185C2×D4—611no—
2186C2×D4—614no—
2187C2×D4—612no—
2188C2×D4—612no—
2189C2×D4—614no—
2190C2×D4—614no—
2191C2×D4—612no—
2192C2×D4—612no—
2193C2×D4—611no—
2194C2×D4—614no—
2195C2×D4—614no—
2196C2×D4—612no—
2197C2×D4—614no—
2198C2×D4—1228no—
2199C2×D4—1228no—
2200C2×D4—1228no—
2201C2×D4—1224no—
2202C2×D4—12216no—
2203C2×D4—1224no—
2204C2×D4—2444no—
2205C2×D4—2448no—
2206C2×D4C23×D6112yes—
2207C2×D4C23×D6112yes—
2208C2×D4C23×D6111yescharacteristic
2209C2×D4C23×D6111yescharacteristic
2210C2×D4C23×D6114yes—
2211C22×C4—612no—
2212C22×C4—611no—
2213C22×C4—612no—
2214C22×C4—611no—
2215C22×C4—611no—
2216C22×C4—612no—
2217C22×C4—612no—
2218C22×C4—612no—
2219C22×C4—614no—
2220C22×C4—611no—
2221C22×C4—611no—
2222C22×C4—612no—
2223C22×C4—612no—
2224C22×C4—611no—
2225C22×C4—612no—
2226C22×C4—611no—
2227C22×C4—611no—
2228C22×C4—611no—
2229C22×C4—614no—
2230C22×C4—614no—
2231C22×C4—612no—
2232C22×C4—614no—
2233C22×C4—612no—
2234C22×C4—611no—
2235C22×C4—612no—
2236C22×C4—611no—
2237C22×C4—614no—
2238C22×C4—612no—
2239C22×C4—612no—
2240C22×C4—612no—
2241C22×C4—612no—
2242C22×C4—611no—
2243C22×C4—611no—
2244C22×C4—611no—
2245C22×C4—611no—
2246C22×C4—614no—
2247C22×C4—614no—
2248C22×C4—614no—
2249C22×C4—612no—
2250C22×C4—614no—
2251C22×C4—614no—
2252C22×C4—614no—
2253C22×C4—1228no—
2254C22×C4—1224no—
2255C22×C4—2442no—
2256C22×C4—2444no—
2257C22×C4—2448no—
2258C22×C4—2444no—
2259C22×C4—2442no—
2260C22×C4—2444no—
2261C22×C4C23×D6112yes—
2262C22×C4C23×D6112yes—
2263C22×C4C23×D6112yes—
2264C22×C4C23×D6111yescharacteristic
2265C22×C4C23×D6112yes—
2266C22×C4C23×D6112yes—
2267C22×C4C23×D6111yescharacteristic
2268C22×C4C23×D6112yes—
2269C22×C4C23×D6112yes—
2270C22×C4C23×D6112yes—
2271C22×C4C23×D6111yescharacteristic
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—611no—
2275C4⋊C4—611no—
2276C4⋊C4—614no—
2277C4⋊C4—614no—
2278C4⋊C4—614no—
2279C4⋊C4—612no—
2280C4⋊C4—614no—
2281C4⋊C4—614no—
2282C4⋊C4—612no—
2283C4⋊C4—612no—
2284C4⋊C4—612no—
2285C4⋊C4—612no—
2286C4⋊C4—612no—
2287C4⋊C4—614no—
2288C4⋊C4—614no—
2289C4⋊C4—611no—
2290C4⋊C4—614no—
2291C4⋊C4—612no—
2292C4⋊C4—612no—
2293C4⋊C4—612no—
2294C4⋊C4—612no—
2295C4⋊C4—614no—
2296C4⋊C4—614no—
2297C4⋊C4—614no—
2298C4⋊C4—614no—
2299C4⋊C4—614no—
2300C4⋊C4—612no—
2301C4⋊C4—612no—
2302C4⋊C4—614no—
2303C4⋊C4—612no—
2304C4⋊C4—612no—
2305C4⋊C4—612no—
2306C4⋊C4—612no—
2307C4⋊C4—612no—
2308C4⋊C4—612no—
2309C4⋊C4—612no—
2310C4⋊C4—612no—
2311C4⋊C4—611no—
2312C4⋊C4—614no—
2313C4⋊C4—612no—
2314C4⋊C4—614no—
2315C4⋊C4—612no—
2316C4⋊C4C23×D6111yescharacteristic
2317C4⋊C4C23×D6112yes—
2318C4⋊C4C23×D6112yes—
2319C4⋊C4C23×D6112yes—
2320C4⋊C4C23×D6114yes—
2321C4⋊C4C23×D6114yes—
2322C4⋊C4C23×D6111yescharacteristic
2323C4⋊C4C23×D6111yescharacteristic
2324C4⋊C4C23×D6112yes—
2325C4⋊C4C23×D6112yes—
2326C4⋊C4C23×D6114yes—
2327C4⋊C4C23×D6114yes—
2328C4⋊C4C23×D6114yes—
2329C4⋊C4C23×D6111yescharacteristic
2330C4⋊C4C23×D6112yes—
2331C4⋊C4C23×D6114yes—
2332C4⋊C4C23×D6114yes—
2333C4⋊C4C23×D6114yes—
2334C4⋊C4C23×D6114yes—
2335C4⋊C4C23×D6114yes—
2336C22⋊C4—612no—
2337C22⋊C4—612no—
2338C22⋊C4—612no—
2339C22⋊C4—614no—
2340C22⋊C4—612no—
2341C22⋊C4—612no—
2342C22⋊C4—612no—
2343C22⋊C4—614no—
2344C22⋊C4—612no—
2345C22⋊C4—612no—
2346C22⋊C4—612no—
2347C22⋊C4—612no—
2348C22⋊C4—614no—
2349C22⋊C4—614no—
2350C22⋊C4—612no—
2351C22⋊C4—614no—
2352C22⋊C4—614no—
2353C22⋊C4—614no—
2354C22⋊C4—614no—
2355C22⋊C4—614no—
2356C22⋊C4—614no—
2357C22⋊C4—614no—
2358C22⋊C4—612no—
2359C22⋊C4—612no—
2360C22⋊C4—612no—
2361C22⋊C4—612no—
2362C22⋊C4—614no—
2363C22⋊C4—614no—
2364C22⋊C4—614no—
2365C22⋊C4—614no—
2366C22⋊C4—614no—
2367C22⋊C4—614no—
2368C22⋊C4—614no—
2369C22⋊C4—614no—
2370C22⋊C4—612no—
2371C22⋊C4—614no—
2372C22⋊C4—612no—
2373C22⋊C4—612no—
2374C22⋊C4—612no—
2375C22⋊C4—612no—
2376C22⋊C4—612no—
2377C22⋊C4—614no—
2378C22⋊C4—612no—
2379C22⋊C4—612no—
2380C22⋊C4—612no—
2381C22⋊C4—614no—
2382C22⋊C4C23×D6112yes—
2383C22⋊C4C23×D6112yes—
2384C22⋊C4C23×D6112yes—
2385C22⋊C4C23×D6112yes—
2386C22⋊C4C23×D6112yes—
2387C22⋊C4C23×D6112yes—
2388C22⋊C4C23×D6114yes—
2389C22⋊C4C23×D6114yes—
2390C22⋊C4C23×D6114yes—
2391C22⋊C4C23×D6114yes—
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—614no—
2414C42—614no—
2415C42—614no—
2416C42—612no—
2417C42—614no—
2418C42—614no—
2419C42—612no—
2420C42—611no—
2421C42—612no—
2422C42—612no—
2423C42—611no—
2424C42C23×D6111yescharacteristic
2425C42C23×D6111yescharacteristic
2426C42C23×D6112yes—
2427C42C23×D6112yes—
2428C42C23×D6112yes—
2429C42C23×D6114yes—
2430C42C23×D6112yes—
2431C42C23×D6111yescharacteristic
2432C42C23×D6111yescharacteristic
2433C42C23×D6114yes—
2434C42C23×D6112yes—
2435C42C23×D6112yes—
2436C23—612no—
2437C23—611no—
2438C23—614no—
2439C23—611no—
2440C23—612no—
2441C23—1228no—
2442C23—1224no—
2443C23—1222no—
2444C23—1224no—
2445C23—1224no—
2446C23—1222no—
2447C23—2442no—
2448C23—2444no—
2449C23—2442no—
2450C23—2444no—
2451C23—2441no—
2452C23—2442no—
2453C23C24×D6112yes—
2454C23C24×D6112yes—
2455C23C24×D6111yescharacteristic
2456Q8—24no—
2457Q8—24no—
2458Q8—22no—
2459Q8—22no—
2460Q8—44no—
2461Q8—614no—
2462Q8—1228no—
2463Q8—1224no—
2464Q8—1222no—
2465Q8—2442no—
2466Q8—2442no—
2467Q8—2444no—
2468D4—24no—
2469D4—24no—
2470D4—22no—
2471D4—22no—
2472D4—44no—
2473D4—618no—
2474D4—614no—
2475D4—1228no—
2476D4—1224no—
2477D4—1228no—
2478D4—1228no—
2479D4—1224no—
2480D4—1228no—
2481D4—1224no—
2482D4—1224no—
2483D4—1224no—
2484D4—1224no—
2485D4—1224no—
2486D4—1224no—
2487D4—1222no—
2488D4—2444no—
2489D4—2444no—
2490D4—2442no—
2491D4—2444no—
2492D4—2444no—
2493D4—2442no—
2494D4—2444no—
2495D4—2442no—
2496D4—2442no—
2497D4—2444no—
2498C2×C4—24no—
2499C2×C4—24no—
2500C2×C4—24no—
2501C2×C4—22no—
2502C2×C4—24no—
2503C2×C4—24no—
2504C2×C4—41no—
2505C2×C4—42no—
2506C2×C4—42no—
2507C2×C4—42no—
2508C2×C4—612no—
2509C2×C4—618no—
2510C2×C4—611no—
2511C2×C4—611no—
2512C2×C4—612no—
2513C2×C4—611no—
2514C2×C4—612no—
2515C2×C4—612no—
2516C2×C4—612no—
2517C2×C4—611no—
2518C2×C4—611no—
2519C2×C4—611no—
2520C2×C4—612no—
2521C2×C4—614no—
2522C2×C4—1224no—
2523C2×C4—1228no—
2524C2×C4—1228no—
2525C2×C4—1224no—
2526C2×C4—1222no—
2527C2×C4—1222no—
2528C2×C4—1224no—
2529C2×C4—1228no—
2530C2×C4—1224no—
2531C2×C4—1222no—
2532C2×C4—1222no—
2533C2×C4—1222no—
2534C2×C4—1222no—
2535C2×C4—1222no—
2536C2×C4—1224no—
2537C2×C4—1224no—
2538C2×C4—1222no—
2539C2×C4—1228no—
2540C2×C4—1222no—
2541C2×C4—1224no—
2542C2×C4—2442no—
2543C2×C4—2441no—
2544C2×C4—2441no—
2545C2×C4—2442no—
2546C2×C4—2441no—
2547C2×C4—2444no—
2548C2×C4—2441no—
2549C2×C4—2444no—
2550C2×C4—2444no—
2551C2×C4—2442no—
2552C2×C4—2442no—
2553C2×C4—2444no—
2554C2×C4—2442no—
2555C2×C4—2444no—
2556C2×C4—2444no—
2557C2×C4—2442no—
2558C2×C4—2441no—
2559C2×C4—2442no—
2560C2×C4—2444no—
2561C2×C4—2441no—
2562C2×C4—2442no—
2563C2×C4#41×D6114yes—
2564C2×C4C24×D6111yescharacteristic
2565C2×C4C24×D6111yescharacteristic
2566C2×C4C24×D6111yescharacteristic
2567C2×C4C24×D6114yes—
2568C2×C4C24×D6112yes—
2569C2×C4C24×D6112yes—
2570C2×C4C24×D6112yes—
2571C2×C4C24×D6112yes—
2572C2×C4C24×D6112yes—
2573C2×C4C24×D6114yes—
2574C2×C4C24×D6112yes—
2575C2×C4C24×D6111yescharacteristic
2576C2×C4C24×D6111yescharacteristic
2577C2×C4C24×D6111yescharacteristic
2578C22—21no—
2579C22—21no—
2580C22—22no—
2581C22—22no—
2582C22—22no—
2583C22—22no—
2584C22—22no—
2585C22—22no—
2586C22—614no—
2587C22—612no—
2588C22—1221no—
2589C22—1222no—
2590C22—1222no—
2591C22—1221no—
2592C22—1222no—
2593C22—1221no—
2594C22—1224no—
2595C22—1222no—
2596C22—1221no—
2597C22—1224no—
2598C22—1224no—
2599C22—1221no—
2600C22—1222no—
2601C22—4884no—
2602C22—4888no—
2603C22—2444no—
2604C22—2448no—
2605C22C2×#41×D6112yes—
2606C22C25×D6111yescharacteristic
2607C4—22no—
2608C4—22no—
2609C4—24no—
2610C4—21no—
2611C4—21no—
2612C4—22no—
2613C4—24no—
2614C4—22no—
2615C4—21no—
2616C4—22no—
2617C4—22no—
2618C4—614no—
2619C4—1221no—
2620C4—1221no—
2621C4—1222no—
2622C4—1222no—
2623C4—1221no—
2624C4—1221no—
2625C4—1222no—
2626C4—1221no—
2627C4—1222no—
2628C4—1224no—
2629C4—1221no—
2630C4—1222no—
2631C4C2×#41×D6112yes—
2632C4C2×#41×D6112yes—
2633C4#1684059912yes—
2634C2—22no—
2635C2—42no—
2636C2—42no—
2637C2—1224no—
2638C2—1222no—
2639C2—2444no—
2640C2—2441no—
2641C2—2442no—
2642C2C22×#41×D6111yescharacteristic
2643C2#585×D6111yescharacteristic
2644C2C2×#1684059911yescharacteristic
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC61×#3461C2
hypercenter#3461D61
hypocenterC61#62810
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #21459926C2semidirect
2. #21459893C2semidirect
3. #21459877C2semidirect
4. #21459810C2semidirect
5. #21459765C2semidirect
6. #21459749C2semidirect
7. #21459742C2semidirect
8. #21459740C2semidirect
9. #21459718C2semidirect
10. #21459711C2semidirect
11. #21459642C2semidirect
12. #21459608C2semidirect
13. #21459568C2semidirect
14. #21459563C2semidirect
15. #21459557C2semidirect
16. #21459552C2semidirect
17. #21459497C2semidirect
18. #21459483C2semidirect
19. #21459437C2semidirect
20. #21459425C2semidirect
21. #21459425C2semidirect
22. #21459410C2semidirect
23. #21459386C2semidirect
24. #21459371C2semidirect
25. #21459250C2semidirect
26. #21459240C2semidirect
27. #21459235C2semidirect
28. #21459116C2semidirect
29. #21459112C2semidirect
30. C2×#16840299C2semidirect
31. #529×D61C2semidirect
32. C4×#14519825C2semidirect
33. C4×#14519823C2semidirect
34. C4×#41×D61C2semidirect
35. C61×#3461C2semidirect
39. #16840496C22semidirect
40. #16840494C22semidirect
41. #16840494C22semidirect
42. #16840494C22semidirect
43. #16840489C22semidirect
44. #16840487C22semidirect
45. #16840486C22semidirect
46. #16840486C22semidirect
47. #16840483C22semidirect
48. #16840483C22semidirect
49. #16840479C22semidirect
50. #16840479C22semidirect
51. #16840478C22semidirect
52. #16840474C22semidirect
53. #16840473C22semidirect
54. #16840470C22semidirect
55. #16840470C22semidirect
56. #16840468C22semidirect
57. #16840468C22semidirect
58. #16840466C22semidirect
59. #16840465C22semidirect
60. #16840465C22semidirect
61. #16840465C22semidirect
62. #16840465C22semidirect
63. #16840464C22semidirect
64. #16840464C22semidirect
65. #16840463C22semidirect
66. #16840463C22semidirect
67. #16840463C22semidirect
68. #16840463C22semidirect
69. #16840463C22semidirect
70. #16840459C22semidirect
71. #16840457C22semidirect
72. #16840455C22semidirect
73. #16840454C22semidirect
74. #16840454C22semidirect
75. #16840450C22semidirect
76. #16840449C22semidirect
77. #16840448C22semidirect
78. #16840446C22semidirect
79. #16840446C22semidirect
80. #16840444C22semidirect
81. #16840444C22semidirect
82. #16840444C22semidirect
83. #16840444C22semidirect
84. #16840442C22semidirect
85. #16840439C22semidirect
86. #16840439C22semidirect
87. #16840439C22semidirect
88. #16840437C22semidirect
89. #16840437C22semidirect
90. #16840437C22semidirect
91. #16840437C22semidirect
92. #16840435C22semidirect
93. #16840435C22semidirect
94. #16840435C22semidirect
95. #16840435C22semidirect
97. #16840427C22semidirect
99. #16840422C22semidirect
100. #16840422C22semidirect
101. #16840420C22semidirect
102. #16840415C22semidirect
103. #16840415C22semidirect
104. #16840414C22semidirect
105. #16840410C22semidirect
106. #16840405C22semidirect
107. #16840405C22semidirect
108. #16840404C22semidirect
109. #16840404C22semidirect
110. #16840404C22semidirect
111. #16840404C22semidirect
113. #16840403C22semidirect
114. #16840403C22semidirect
115. #16840403C22semidirect
119. #16840392C22semidirect
120. #16840390C22semidirect
121. #16840389C22semidirect
122. #16840386C22semidirect
123. #16840385C22semidirect
124. #16840385C22semidirect
125. #16840384C22semidirect
126. #16840383C22semidirect
127. #16840382C22semidirect
128. #16840381C22semidirect
129. #16840378C22semidirect
130. #16840373C22semidirect
131. #16840372C22semidirect
132. #16840371C22semidirect
133. #16840368C22semidirect
134. #16840367C22semidirect
135. #16840365C22semidirect
136. #16840364C22semidirect
137. #16840363C22semidirect
138. #16840360C22semidirect
139. #16840358C22semidirect
140. #16840351C22semidirect
141. #16840348C22semidirect
142. #16840345C22semidirect
144. #16840342C22semidirect
145. #16840340C22semidirect
146. #16840337C22semidirect
147. #16840335C22semidirect
148. #16840331C22semidirect
149. #16840330C22semidirect
152. #16840317C22semidirect
153. #16840317C22semidirect
154. #16840316C22semidirect
155. #16840316C22semidirect
156. #16840316C22semidirect
157. #16840315C22semidirect
158. #16840313C22semidirect
159. #16840313C22semidirect
160. #16840312C22semidirect
161. #16840309C22semidirect
162. #16840309C22semidirect
163. #16840309C22semidirect
164. #16840309C22semidirect
165. #16840308C22semidirect
166. #16840299C22semidirect
167. #16840299C22semidirect
168. #16840299C22semidirect
169. #16840299C22semidirect
170. #16840299C22semidirect
171. #16840299C22semidirect
172. #16840299C22semidirect
173. #16840299C22semidirect
174. #16840299C22semidirect
175. #16840299C22semidirect
176. #16840299C22semidirect
177. #16840299C22semidirect
178. #16840299C22semidirect
179. #16840298C22semidirect
180. #16840298C22semidirect
181. #16840298C22semidirect
182. #16840298C22semidirect
183. #16840297C22semidirect
184. #16840297C22semidirect
185. #16840297C22semidirect
186. #16840296C22semidirect
187. #16840295C22semidirect
188. #16840294C22semidirect
189. #16840294C22semidirect
190. #16840293C22semidirect
191. #16840292C22semidirect
192. #16840292C22semidirect
193. #16840292C22semidirect
194. #16840291C22semidirect
195. #16840290C22semidirect
196. #16840290C22semidirect
197. #16840290C22semidirect
198. #16840290C22semidirect
199. #16840290C22semidirect
200. #16840290C22semidirect
201. #16840289C22semidirect
202. C2×#14519772C22semidirect
203. #126×D61C22semidirect
204. C2×#14519768C22semidirect
205. #125×D61C22semidirect
206. C2×#14519766C22semidirect
207. #124×D61C22semidirect
209. #16840275C22semidirect
210. #16840275C22semidirect
211. #16840274C22semidirect
212. #16840274C22semidirect
213. #16840274C22semidirect
214. #16840271C22semidirect
215. #16840271C22semidirect
216. #16840271C22semidirect
217. #16840271C22semidirect
219. C2×#14519762C22semidirect
220. #123×D61C22semidirect
221. C2×#14519753C22semidirect
222. C22⋊Q8×D61C22semidirect
225. #16840245C22semidirect
226. #16840244C22semidirect
227. #16840244C22semidirect
228. #16840244C22semidirect
230. #16840243C22semidirect
231. #16840243C22semidirect
233. #16840242C22semidirect
234. #16840240C22semidirect
235. #16840238C22semidirect
236. #16840238C22semidirect
237. #16840236C22semidirect
238. #16840236C22semidirect
239. #16840234C22semidirect
240. #16840234C22semidirect
241. #41×Dic61C22semidirect
242. C4×#11758226C22semidirect
243. C4×#11758226C22semidirect
244. C4×#11758226C22semidirect
245. C4×#11758226C22semidirect
246. C4×#11758226C22semidirect
247. C4×#11758226C22semidirect
249. C4×#11758222C22semidirect
250. C4×#11758222C22semidirect
251. C4×#11758222C22semidirect
252. C4×#11758222C22semidirect
253. C4×#11758222C22semidirect
254. C4×#11758222C22semidirect
256. #16840230C22semidirect
257. #16840230C22semidirect
258. C4×#11758224C22semidirect
259. C4×#11758224C22semidirect
260. C4×#11758224C22semidirect
261. C4×#11758224C22semidirect
262. C4×Q8×D61C22semidirect
263. C4×Q8×D61C22semidirect
264. C4×Q8×D61C22semidirect
265. C4×Q8×D61C22semidirect
266. C2×C4×D244C22semidirect
267. C2×C4×D244C22semidirect
268. C2×C4×D244C22semidirect
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×#14519734C22semidirect
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×#541C22semidirect
286. C61×#541C22semidirect
287. C61×#539C22semidirect
289. C61×#536C22semidirect
290. C61×#536C22semidirect
291. C61×#533C22semidirect
292. C61×#533C22semidirect
293. C61×#529C22semidirect
294. C61×#529C22semidirect
295. C61×#529C22semidirect
296. C4×#41×C61C22semidirect
297. C4×#41×C61C22semidirect
298. C2×C4×Q8×C61C22semidirect
883. #11758222#41semidirect
1337. #3461D61semidirect
1444. #544C2×D61semidirect
1453. #542C2×D61semidirect
1454. #542C2×D61semidirect
1458. #541C2×D61semidirect
1459. #541C2×D61semidirect
1467. #539C2×D61semidirect
1477. #536C2×D61semidirect
1478. #536C2×D61semidirect
1489. #533C2×D61semidirect
1490. #533C2×D61semidirect
1535. #529C2×D61semidirect
1536. #529C2×D61semidirect
1537. #529C2×D61semidirect
1598. C4×#41C2×D61semidirect
1599. C4×#41C2×D61semidirect
1604. C2×C4×Q8C2×D61semidirect
1621. C61#62810semidirect

Maximal subgroups

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

subgroupindex
#214599262
#214598932
#214598772
#214598102
#214597652
#214597492
#214597422
#214597402
#214597182
#214597112
#214596422
#214596082
#214595682
#214595632
#214595572
#214595522
#214594972
#214594832
#214594372
#214594252
#214594102
#214593862
#214593712
#214592502
#214592402
#214592352
#214591162
#214591122
C2×#168402992
#529×D612
C4×#145198252
C4×#145198232
C4×#41×D612
C61×#34612
#6281061