Finite Group Databasebeta

← #30587875

Subgroups — #30587875

Order 15616.

6624 conjugacy classes of subgroups.

The subgroup lattice has 2590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460486C214yesmaximal, complemented
2#21460476C214yesmaximal, complemented
3#21460466C212yesmaximal, complemented
4#21460454C212yesmaximal, complemented
5#21460403C212yesmaximal, complemented
6#21460397C212yesmaximal, complemented
7#21460309C211yesmaximal, characteristic, complemented
8#21460295C211yesmaximal, characteristic, complemented
9#21460286C211yesmaximal, characteristic, complemented
10#21460284C211yesmaximal, characteristic, complemented
11#21460208C211yesmaximal, characteristic, complemented
12#21460196C211yesmaximal, characteristic, complemented
13#21460187C211yesmaximal, characteristic, complemented
14#21460085C212yesmaximal, complemented
15#21460083C212yesmaximal, complemented
16#21460072C212yesmaximal, complemented
17#21460070C212yesmaximal, complemented
18#21459954C214yesmaximal, complemented
19#21459442C211yesmaximal, characteristic, complemented
20#21459438C211yesmaximal, characteristic, complemented
21#21459431C211yesmaximal, characteristic, complemented
22#21459420C211yesmaximal, characteristic, complemented
23#21459418C212yesmaximal, complemented
24#21459413C212yesmaximal, complemented
25#21459370C212yesmaximal, complemented
26#21459370C212yesmaximal, complemented
27#21459247C212yesmaximal, complemented
28#21459245C212yesmaximal, complemented
29#21459232C212yesmaximal, complemented
30#21459232C212yesmaximal, complemented
31#21459201C214yesmaximal, complemented
32#21459114C211yesmaximal, characteristic, complemented
33#21459114C211yesmaximal, characteristic, complemented
34#21459113C211yesmaximal, characteristic, complemented
35C61×#3546C211yesmaximal, characteristic, complemented
36#16840515C2214yescomplemented
37#16840514C2214yescomplemented
38#16840514C2214yescomplemented
39#16840509C2214yescomplemented
40#16840509C2214yescomplemented
41#16840507C2214yescomplemented
42#16840507C2214yescomplemented
43#16840507C2214yescomplemented
44#16840507C2214yescomplemented
45#16840505C2214yescomplemented
46#16840501C2214yes—
47#16840501C2214yescomplemented
48#16840500C2214yescomplemented
49#16840500C2214yescomplemented
50#16840499C2214yescomplemented
51#16840498C2211yescharacteristic, complemented
52#16840498C2212yescomplemented
53#16840498C2214yescomplemented
54#16840496C2214yescomplemented
55#16840495C2212yescomplemented
56Q8×Dic122C2211yescharacteristic, complemented
57#16840491C2212yescomplemented
58#16840490C2211yescharacteristic, complemented
59#16840489C2212yescomplemented
60#16840487C2211yescharacteristic, complemented
61#16840483C2212yescomplemented
62#16840482C2214yescomplemented
63#16840482C2212yescomplemented
64#16840482C2211yescharacteristic, complemented
65#16840481C2212yescomplemented
66#16840481C2212yescomplemented
67#16840480C2212yescomplemented
68#16840480C2212yescomplemented
69#16840479C2214yescomplemented
70#16840477C2212yescomplemented
71#16840477C2211yescharacteristic, complemented
72#16840476C2212yes—
73#16840476C2212yes—
74#16840476C2214yescomplemented
75#16840476C2212yescomplemented
76#16840471C2212yescomplemented
77#16840471C2212yescomplemented
78#16840469C2211yescharacteristic, complemented
79#16840469C2211yescharacteristic, complemented
80#16840464C2212yes—
81#16840464C2212yes—
82#16840461C2214yescomplemented
83#16840460C2212yescomplemented
84#16840459C2214yescomplemented
85#16840459C2212yescomplemented
86#16840459C2214yescomplemented
87#16840459C2212yescomplemented
88#16840455C2214yescomplemented
89#16840455C2214yescomplemented
90#16840455C2214yescomplemented
91#16840454C2212yescomplemented
92#16840454C2212yescomplemented
93#16840453C2212yescomplemented
94#16840452C2212yescomplemented
95#16840452C2212yescomplemented
96#16840449C2214yescomplemented
97#16840449C2214yescomplemented
98#16840449C2214yescomplemented
99#16840448C2214yescomplemented
100#16840447C2212yescomplemented
101#16840443C2214yescomplemented
102#16840443C2214yescomplemented
103#16840443C2214yescomplemented
104#16840438C2214yescomplemented
105#16840438C2214yescomplemented
106#16840432C2211yescharacteristic, complemented
107#16840432C2212yescomplemented
108#16840431C2212yescomplemented
109#16840430C2212yes—
110D4×Dic122C2211yescharacteristic, complemented
111#16840427C2211yescharacteristic, complemented
112#16840421C2212yescomplemented
113#16840420C2212yes—
114#16840419C2212yescomplemented
115#16840419C2212yescomplemented
116#16840418C2212yes—
117#16840418C2212yescomplemented
118#16840417C2211yescharacteristic, complemented
119#16840414C2212yescomplemented
120#16840411C2212yescomplemented
121#16840411C2212yescomplemented
122#16840411C2212yescomplemented
123#16840406C2212yes—
124#16840406C2212yes—
125#16840406C2212yes—
126#16840406C2212yescomplemented
127#16840393C2212yescomplemented
128#16840390C2212yescomplemented
129#16840390C2212yescomplemented
130#16840389C2212yescomplemented
131#16840381C2212yes—
132#16840381C2214yescomplemented
133#16840381C2212yescomplemented
134#16840380C2214yescomplemented
135#16840380C2214yescomplemented
136#16840379C2212yes—
137#16840379C2212yescomplemented
138#16840379C2214yescomplemented
139#16840379C2212yescomplemented
140#16840379C2214yescomplemented
141#16840379C2212yescomplemented
142#16840377C2212yescomplemented
143#16840376C2214yescomplemented
144#16840376C2214yescomplemented
145#16840376C2214yescomplemented
146#16840374C2212yescomplemented
147#16840372C2214yescomplemented
148#16840372C2212yescomplemented
149#16840372C2212yescomplemented
150#16840370C2212yescomplemented
151#16840369C2214yescomplemented
152#16840369C2214yescomplemented
153#16840369C2214yescomplemented
154#16840366C2212yescomplemented
155#16840366C2214yescomplemented
156#16840366C2212yescomplemented
157#16840365C2214yescomplemented
158#16840365C2212yescomplemented
159#16840365C2212yescomplemented
160#16840362C2214yescomplemented
161#16840362C2214yescomplemented
162#16840361C2214yescomplemented
163#16840358C2214yescomplemented
164#16840357C2214yescomplemented
165#16840357C2214yescomplemented
166#16840357C2214yescomplemented
167#16840355C2214yescomplemented
168#16840354C2214yescomplemented
169#16840354C2214yescomplemented
170#16840350C2214yescomplemented
171#16840347C2214yescomplemented
172#16840347C2214yescomplemented
173#16840347C2214yescomplemented
174#16840347C2214yescomplemented
175#16840347C2214yescomplemented
176#16840347C2214yescomplemented
177#16840341C2212yes—
178#16840340C2212yescomplemented
179#16840340C2212yescomplemented
180#16840335C2212yescomplemented
181#16840333C2212yescomplemented
182#16840333C2212yescomplemented
183#16840332C2212yescomplemented
184#16840329C2212yes—
185#16840329C2212yescomplemented
186#16840319C2211yescharacteristic, complemented
187#16840319C2211yescharacteristic, complemented
188#16840318C2211yescharacteristic, complemented
189#16840317C2211yescharacteristic, complemented
190#16840317C2211yescharacteristic, complemented
191#16840317C2211yescharacteristic, complemented
192#16840317C2211yescharacteristic, complemented
193#16840316C2211yescharacteristic, complemented
194#16840314C2214yescomplemented
195#16840314C2212yescomplemented
196#16840314C2211yescharacteristic, complemented
197#16840314C2212yescomplemented
198#16840311C2211yescharacteristic
199#16840310C2211yescharacteristic
200#16840310C2211yescharacteristic
201#16840310C2211yescharacteristic
202#16840310C2211yescharacteristic
203#16840310C2212yescomplemented
204#16840310C2214yescomplemented
205#16840309C2211yescharacteristic
206#16840307C2211yescharacteristic
207#16840307C2214yescomplemented
208#16840307C2212yescomplemented
209#16840307C2214yescomplemented
210#16840297C2211yescharacteristic, complemented
211#16840296C2211yescharacteristic, complemented
212#16840295C2212yescomplemented
213#16840295C2214yescomplemented
214#16840295C2212yescomplemented
215#16840295C2214yescomplemented
216#16840294C2211yescharacteristic
217#16840294C2212yescomplemented
218#16840294C2211yescharacteristic, complemented
219#16840294C2212yescomplemented
220#16840294C2212yescomplemented
221#16840293C2211yescharacteristic
222#16840293C2214yescomplemented
223#16840293C2214yescomplemented
224#16840293C2212yescomplemented
225#16840293C2212yescomplemented
226#16840293C2212yescomplemented
227#16840293C2214yescomplemented
228#16840293C2212yescomplemented
229#16840293C2214yescomplemented
230#16840293C2211yescharacteristic, complemented
231#16840293C2212yescomplemented
232#16840293C2212yescomplemented
233#16840291C2211yescharacteristic
234#16840291C2212yescomplemented
235#16840291C2214yescomplemented
236#16840291C2212yescomplemented
237#16840291C2212yescomplemented
238#16840291C2212yescomplemented
239#16840291C2212yescomplemented
240#16840290C2212yescomplemented
241#16840289C2214yescomplemented
242#16840289C2214yescomplemented
243#16840289C2214yescomplemented
244#16840289C2212yescomplemented
245#16840275C2211yescharacteristic, complemented
246#16840272C2211yescharacteristic
247#16840272C2211yescharacteristic
248#16840272C2211yescharacteristic, complemented
249#16840272C2212yescomplemented
250#16840272C2212yescomplemented
251#16840272C2212yescomplemented
252#16840271C2212yescomplemented
253#16840270C2212yescomplemented
254#16840269C2212yescomplemented
255#16840269C2212yescomplemented
256#16840268C2214yes—
257#16840268C2214yescomplemented
258#16840268C2214yescomplemented
259#16840268C2214yescomplemented
260#41×Dic61C2212yescomplemented
261#41×Dic61C2212yescomplemented
262#41×Dic61C2212yescomplemented
263#41×Dic61C2212yescomplemented
264C4×#11758226C2211yescharacteristic, complemented
265#16840230C2212yescomplemented
266#16840230C2212yescomplemented
267C4×#11758224C2211yescharacteristic
268C4×#11758224C2211yescharacteristic
269C4×#11758224C2212yescomplemented
270C4×#11758224C2214yescomplemented
271C4×#11758224C2212yescomplemented
272C4×#11758224C2212yescomplemented
273C4×#11758224C2212yescomplemented
274C4×#11758224C2212yescomplemented
275C4×#11758224C2211yescharacteristic, complemented
276C2×#14519742C2212yescomplemented
277C4×Q8×D61C2212yescomplemented
278C2×D4×Dic61C2212yescomplemented
279C2×D4×Dic61C2212yescomplemented
280C2×#14519733C2214yescomplemented
281C2×C42×D61C2211yescharacteristic, complemented
282C61×#560C2214yes—
283C61×#556C2211yescharacteristic, complemented
284C61×#553C2212yescomplemented
285C61×#550C2212yes—
286C61×#550C2211yescharacteristic, complemented
287C61×#547C2211yescharacteristic, complemented
288C61×#546C2212yes—
289C61×#546C2212yescomplemented
290D42×C61C2211yescharacteristic, complemented
291C61×#542C2212yescomplemented
292C61×#538C2214yescomplemented
293C61×#537C2212yes—
294C61×#535C2212yes—
295C61×#535C2212yescomplemented
296C61×#532C2211yescharacteristic
297C61×#532C2211yescharacteristic
298C61×#529C2211yescharacteristic
299C2×#11758226C2311yescharacteristic
300C2×#11758222C2312yes—
301C2×#11758222C2312yes—
302C2×#11758224C2311yescharacteristic
303C2×#11758224C2311yescharacteristic
304C2×#11758224C2312yes—
305C2×#11758224C2312yes—
306C2×#11758224C2312yes—
307C2×#11758224C2314yes—
308C2×#11758224C2312yes—
309C2×#11758224C2311yescharacteristic
310C2×#11758224C2312yes—
311C22×Dic122C2312yes—
312C2×Q8×D61C2312yes—
313C23×Dic61C2314yes—
314C22×C4×D61C2311yescharacteristic
315C22×C4×D61C2311yescharacteristic
316C22×C4×D61C2311yescharacteristic
317#14519777C2311yescharacteristic
318#14519777C2312yes—
319#14519777C2311yescharacteristic
320#14519777C2314yes—
321#14519777C2311yescharacteristic
322#14519777C2311yescharacteristic
323#14519776C2312yes—
324#14519776C2312yes—
325#14519776C2312yes—
326#14519776C2314yes—
327#14519776C2314yes—
328#14519776C2311yescharacteristic
329#14519776C2311yescharacteristic
330#14519776C2314yes—
331#14519775C2312yes—
332#14519775C2312yes—
333#14519775C2311yescharacteristic
334#14519775C2314yes—
335#14519773C2312yes—
336#14519773C2314yes—
337#14519773C2314yes—
338#14519773C2311yescharacteristic
339#14519772C2314yes—
340#14519772C2314yes—
341#14519772C2312yes—
342#14519772C2314yes—
343#14519771C2314yes—
344#14519771C2314yes—
345#14519771C2312yes—
346#14519770C2314yes—
347#14519770C2314yes—
348#14519770C2312yes—
349#14519770C2312yes—
350#14519770C2314yes—
351#14519770C2314yes—
352#14519770C2314yes—
353#14519770C2314yes—
354#14519770C2312yes—
355#14519770C2314yes—
356#14519770C2314yes—
357#14519770C2314yes—
358#14519770C2314yes—
359#14519770C2314yes—
360#14519770C2314yes—
361#14519770C2314yes—
362#14519770C2312yes—
363#14519770C2314yes—
364#14519770C2314yes—
365#14519770C2312yes—
366#14519770C2314yes—
367#14519770C2314yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519769C2311yescharacteristic
371#14519769C2312yes—
372#14519769C2312yes—
373#14519769C2312yes—
374#14519769C2314yes—
375#14519768C2312yes—
376#14519768C2314yes—
377#14519768C2314yes—
378#14519768C2311yescharacteristic
379#14519768C2312yes—
380#14519768C2311yescharacteristic
381#14519768C2312yes—
382#14519768C2314yes—
383#14519768C2312yes—
384#14519768C2312yes—
385#14519768C2312yes—
386#14519768C2314yes—
387#14519767C2314yes—
388#14519767C2314yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519767C2314yes—
393#14519767C2314yes—
394#14519767C2312yes—
395#14519767C2312yes—
396#14519767C2314yes—
397#14519767C2314yes—
398#14519765C2311yescharacteristic
399#14519764C2314yes—
400#14519764C2314yes—
401#14519764C2314yes—
402#14519764C2312yes—
403#14519764C2311yescharacteristic
404#14519764C2312yes—
405#14519764C2314yes—
406#14519764C2314yes—
407#14519764C2312yes—
408#14519764C2311yescharacteristic
409#14519764C2312yes—
410#14519764C2314yes—
411#14519764C2312yes—
412#14519764C2312yes—
413#14519764C2314yes—
414#14519763C2314yes—
415#14519763C2314yes—
416#14519763C2314yes—
417#14519763C2314yes—
418#14519763C2314yes—
419#14519763C2314yes—
420#14519763C2314yes—
421#14519763C2314yes—
422#14519763C2314yes—
423#14519763C2314yes—
424#14519763C2312yes—
425#14519763C2312yes—
426#14519762C2314yes—
427#14519762C2314yes—
428#14519762C2312yes—
429#14519762C2312yes—
430#14519761C2314yes—
431#14519761C2314yes—
432#14519761C2314yes—
433#14519761C2314yes—
434#14519760C2314yes—
435#14519760C2314yes—
436#14519760C2314yes—
437#14519760C2312yes—
438#14519759C2314yes—
439#14519759C2314yes—
440#14519759C2312yes—
441#14519759C2314yes—
442#14519759C2312yes—
443#14519759C2314yes—
444#14519759C2312yes—
445#14519759C2312yes—
446#14519759C2312yes—
447#14519759C2314yes—
448#14519759C2312yes—
449#14519759C2314yes—
450#14519759C2314yes—
451#14519758C2314yes—
452#14519758C2314yes—
453#14519758C2314yes—
454#14519758C2314yes—
455#14519758C2314yes—
456#14519758C2312yes—
457#14519758C2314yes—
458#14519758C2312yes—
459#14519758C2314yes—
460#14519758C2314yes—
461#14519758C2314yes—
462#14519758C2314yes—
463#14519758C2314yes—
464#14519758C2314yes—
465#14519758C2314yes—
466#14519758C2314yes—
467#14519758C2314yes—
468#14519758C2314yes—
469#14519757C2311yescharacteristic
470#14519757C2312yes—
471#14519757C2312yes—
472#14519757C2312yes—
473#14519757C2311yescharacteristic
474#14519757C2311yescharacteristic
475#14519756C2311yescharacteristic
476#14519756C2312yes—
477#14519756C2312yes—
478#14519756C2312yes—
479#14519756C2312yes—
480#14519756C2312yes—
481#14519756C2314yes—
482#14519756C2314yes—
483#14519756C2311yescharacteristic
484#14519756C2314yes—
485#14519756C2312yes—
486#14519756C2312yes—
487#14519756C2311yescharacteristic
488#14519756C2312yes—
489#14519756C2314yes—
490#14519756C2314yes—
491#14519755C2314yes—
492#14519755C2314yes—
493#14519755C2312yes—
494#14519755C2312yes—
495#14519755C2312yes—
496#14519754C2314yes—
497#14519754C2314yes—
498#14519754C2314yes—
499#14519754C2314yes—
500#14519754C2314yes—
501#14519754C2314yes—
502#14519754C2314yes—
503#14519754C2314yes—
504#14519754C2314yes—
505#14519754C2314yes—
506#14519754C2314yes—
507#14519754C2314yes—
508#14519754C2314yes—
509#14519754C2312yes—
510#14519754C2314yes—
511#14519754C2314yes—
512#14519753C2312yes—
513#14519753C2312yes—
514#14519753C2311yescharacteristic
515#14519753C2312yes—
516#14519753C2312yes—
517#14519753C2312yes—
518#14519753C2314yes—
519#14519752C2311yescharacteristic
520#14519751C2314yes—
521#14519751C2312yes—
522#14519751C2314yes—
523#14519751C2311yescharacteristic
524#14519750C2314yes—
525#14519750C2314yes—
526#14519750C2312yes—
527#14519750C2312yes—
528#14519750C2312yes—
529#14519749C2314yes—
530#14519749C2314yes—
531#14519749C2314yes—
532#14519749C2314yes—
533#14519749C2314yes—
534#14519749C2314yes—
535#14519749C2314yes—
536#14519749C2314yes—
537#14519749C2314yes—
538#14519749C2314yes—
539#14519749C2314yes—
540#14519749C2314yes—
541#14519749C2314yes—
542#14519749C2314yes—
543#14519749C2314yes—
544#14519749C2314yes—
545#14519749C2312yes—
546#14519748C2314yes—
547#14519748C2314yes—
548#14519748C2314yes—
549#14519748C2312yes—
550#14519748C2312yes—
551#14519748C2314yes—
552#14519748C2314yes—
553#14519748C2312yes—
554#14519748C2312yes—
555#14519748C2311yescharacteristic
556#14519748C2312yes—
557#14519748C2312yes—
558#14519748C2312yes—
559#14519748C2312yes—
560#14519748C2312yes—
561#14519748C2312yes—
562#14519748C2311yescharacteristic
563#14519748C2311yescharacteristic
564#14519748C2314yes—
565#14519747C2312yes—
566#14519746C2314yes—
567#14519746C2314yes—
568#14519746C2314yes—
569#14519746C2314yes—
570#14519745C2312yes—
571#14519745C2312yes—
572#14519745C2314yes—
573#14519745C2312yes—
574Q8×Dic61C2312yes—
575Q8×Dic61C2312yes—
576Q8×Dic61C2312yes—
577Q8×Dic61C2312yes—
578Q8×Dic61C2311yescharacteristic
579Q8×Dic61C2312yes—
580Q8×Dic61C2312yes—
581C4×Dic122C2314yes—
582C4×Dic122C2312yes—
583C4×Dic122C2312yes—
584C4×Dic122C2311yescharacteristic
585C4×Dic122C2311yescharacteristic
586C4×Dic122C2312yes—
587C4×Dic122C2312yes—
588C4×Dic122C2314yes—
589C4×Dic122C2312yes—
590C4×Dic122C2311yescharacteristic
591C4×Dic122C2312yes—
592#14519742C2312yes—
593#14519742C2312yes—
594#14519742C2314yes—
595#14519742C2312yes—
596#14519742C2312yes—
597#14519742C2311yescharacteristic
598#14519742C2314yes—
599#14519742C2311yescharacteristic
600#14519742C2312yes—
601#14519742C2312yes—
602#14519742C2314yes—
603#14519742C2314yes—
604#14519742C2311yescharacteristic
605#14519742C2312yes—
606#14519742C2312yes—
607#14519742C2312yes—
608C4×D244C2312yes—
609C4×D244C2311yescharacteristic
610D4×Dic61C2314yes—
611D4×Dic61C2314yes—
612D4×Dic61C2314yes—
613D4×Dic61C2312yes—
614D4×Dic61C2314yes—
615D4×Dic61C2314yes—
616D4×Dic61C2314yes—
617D4×Dic61C2312yes—
618D4×Dic61C2312yes—
619D4×Dic61C2312yes—
620D4×Dic61C2312yes—
621D4×Dic61C2312yes—
622D4×Dic61C2312yes—
623D4×Dic61C2312yes—
624D4×Dic61C2311yescharacteristic
625D4×Dic61C2311yescharacteristic
626D4×Dic61C2312yes—
627D4×Dic61C2312yes—
628D4×Dic61C2314yes—
629D4×Dic61C2314yes—
630D4×Dic61C2311yescharacteristic
631D4×Dic61C2312yes—
632D4×Dic61C2312yes—
633D4×Dic61C2312yes—
634D4×Dic61C2314yes—
635D4×Dic61C2312yes—
636D4×Dic61C2314yes—
637D4×Dic61C2314yes—
638D4×Dic61C2312yes—
639D4×Dic61C2312yes—
640D4×Dic61C2312yes—
641D4×Dic61C2312yes—
642#14519739C2312yes—
643#14519739C2311yescharacteristic
644#14519739C2312yes—
645#14519739C2312yes—
646#14519739C2312yes—
647C4×C22⋊D61C2312yes—
648C4×C22⋊D61C2312yes—
649C4×C22⋊D61C2314yes—
650C4×C22⋊D61C2314yes—
651C4×C22⋊D61C2314yes—
652C4×C22⋊D61C2312yes—
653C4×C22⋊D61C2314yes—
654C4×C22⋊D61C2312yes—
655C4×C22⋊D61C2312yes—
656C4×C22⋊D61C2312yes—
657C4×C22⋊D61C2312yes—
658C4×C22⋊D61C2314yes—
659#14519737C2314yes—
660#14519737C2312yes—
661#14519737C2312yes—
662#14519737C2314yes—
663#14519737C2314yes—
664#14519737C2312yes—
665#14519737C2312yes—
666#14519737C2312yes—
667#14519737C2312yes—
668#14519737C2314yes—
669#14519737C2314yes—
670#14519737C2312yes—
671#14519737C2314yes—
672#14519737C2312yes—
673#14519737C2314yes—
674#14519737C2312yes—
675#14519737C2312yes—
676#14519737C2312yes—
677#14519736C2314yes—
678#14519736C2314yes—
679#14519736C2314yes—
680#14519736C2312yes—
681#14519736C2312yes—
682#14519736C2312yes—
683#14519736C2312yes—
684#14519736C2312yes—
685#14519736C2312yes—
686#14519735C2312yes—
687#14519735C2311yescharacteristic
688#14519735C2312yes—
689#14519735C2312yes—
690#14519735C2311yescharacteristic
691#14519735C2311yescharacteristic
692#14519735C2311yescharacteristic
693#14519735C2312yes—
694#14519735C2312yes—
695#14519735C2312yes—
696#14519734C2314yes—
697#14519734C2312yes—
698#14519734C2312yes—
699#14519733C2312yes—
700#14519733C2312yes—
701#14519733C2312yes—
702#14519733C2314yes—
703#14519733C2314yes—
704#14519733C2314yes—
705#14519733C2314yes—
706#14519733C2314yes—
707#14519733C2314yes—
708#14519733C2312yes—
709#14519733C2312yes—
710#14519733C2314yes—
711#14519733C2314yes—
712#14519733C2312yes—
713#14519733C2314yes—
714#14519733C2314yes—
715#14519733C2312yes—
716C2×C4⋊Dic61C2312yes—
717C2×C4⋊Dic61C2312yes—
718C2×#11758196C2314yes—
719C2×#11758196C2314yes—
720C2×#11758196C2314yes—
721C4⋊C4×D61C2314yes—
722C4⋊C4×D61C2312yes—
723C2×C22⋊Dic61C2314yes—
724C2×C22⋊Dic61C2314yes—
725C2×C22⋊Dic61C2314yes—
726C2×C4×Dic61C2311yescharacteristic
727C2×C4×Dic61C2311yescharacteristic
728C2×C4×Dic61C2311yescharacteristic
729C2×C4×Dic61C2314yes—
730C2×C4×Dic61C2314yes—
731C2×C4×Dic61C2312yes—
732C2×C4×Dic61C2312yes—
733C2×C4×Dic61C2312yes—
734C2×C4×Dic61C2314yes—
735C42×D61C2311yescharacteristic
736C42×D61C2311yescharacteristic
737C42×D61C2311yescharacteristic
738C42×D61C2311yescharacteristic
739C42×D61C2311yescharacteristic
740C42×D61C2311yescharacteristic
741C42×D61C2311yescharacteristic
742C42×D61C2311yescharacteristic
743C42×D61C2312yes—
744C42×D61C2314yes—
745C2×#41×C61C2312yes—
746C2×#41×C61C2312yes—
747C2×#41×C61C2312yes—
748C2×#41×C61C2312yes—
749C22×D4×C61C2312yes—
750C22×D4×C61C2312yes—
751C4⋊Q8×C61C2311yescharacteristic
752C4⋊Q8×C61C2311yescharacteristic
753#127×C61C2311yescharacteristic
754#127×C61C2311yescharacteristic
755#127×C61C2314yes—
756#127×C61C2312yes—
757#126×C61C2314yes—
758#126×C61C2312yes—
759#126×C61C2314yes—
760#125×C61C2311yescharacteristic
761#124×C61C2312yes—
762#124×C61C2312yes—
763#124×C61C2314yes—
764#124×C61C2312yes—
765#124×C61C2311yescharacteristic
766#123×C61C2314yes—
767#123×C61C2314yes—
768#123×C61C2314yes—
769#123×C61C2312yes—
770C22⋊Q8×C61C2312yes—
771C22⋊Q8×C61C2312yes—
772C22⋊Q8×C61C2311yescharacteristic
773C22⋊Q8×C61C2314yes—
774#121×C61C2312yes—
775#121×C61C2311yescharacteristic
776#121×C61C2311yescharacteristic
777#121×C61C2312yes—
778#121×C61C2312yes—
779#121×C61C2311yescharacteristic
780#121×C61C2312yes—
781#121×C61C2312yes—
782#121×C61C2314yes—
783#121×C61C2314yes—
784#121×C61C2314yes—
785#121×C61C2314yes—
786#121×C61C2312yes—
787#121×C61C2314yes—
788#121×C61C2314yes—
789#121×C61C2312yes—
790#120×C61C2314yes—
791#120×C61C2314yes—
792#120×C61C2314yes—
793#120×C61C2314yes—
794C4×Q8×C61C2312yes—
795C4×Q8×C61C2311yescharacteristic
796C4×D4×C61C2312yes—
797C4×D4×C61C2312yes—
798C4×D4×C61C2311yescharacteristic
799C4×D4×C61C2312yes—
800C4×D4×C61C2311yescharacteristic
801C4×D4×C61C2312yes—
802C4×D4×C61C2314yes—
803C4×D4×C61C2312yes—
804C4×D4×C61C2311yescharacteristic
805#117×C61C2312yes—
806#117×C61C2312yes—
807C2×C4⋊C4×C61C2312yes—
808C2×C22⋊C4×C61C2314yes—
809C2×C42×C61C2311yescharacteristic
810C24×C61C2414yes—
811C23×D61C2411yescharacteristic
812#41×C61—44no—
813#41×C61—44no—
814#41×C61—44no—
815#41×C61—44no—
816C2×Q8×C61C2412yes—
817C2×Q8×C61C2411yescharacteristic
818C2×Q8×C61C2412yes—
819C2×D4×C61—44no—
820C2×D4×C61—44no—
821C2×D4×C61C2411yescharacteristic
822C2×D4×C61C2412yes—
823C2×D4×C61C2411yescharacteristic
824C2×D4×C61C2412yes—
825C2×D4×C61C2411yescharacteristic
826C2×D4×C61C2412yes—
827C2×D4×C61C2412yes—
828C2×D4×C61C2412yes—
829C2×D4×C61C2414yes—
830C2×D4×C61C2412yes—
831C2×D4×C61C2414yes—
832C2×D4×C61C2412yes—
833C2×D4×C61C2414yes—
834C2×D4×C61C2414yes—
835C2×D4×C61C2414yes—
836C2×D4×C61C2414yes—
837C2×D4×C61C2412yes—
838C22×C4×C61C2411yescharacteristic
839C22×C4×C61C2411yescharacteristic
840C22×C4×C61C2412yes—
841C22×C4×C61C2412yes—
842C22×C4×C61C2412yes—
843C22×C4×C61C2411yescharacteristic
844C22×C4×C61C2414yes—
845C22×C4×C61C2414yes—
846C22×C4×C61C2414yes—
847C2×C22⋊D61C2412yes—
848C2×C22⋊D61C2412yes—
849C2×C22⋊D61C2412yes—
850C2×C22⋊D61C2414yes—
851C2×C22⋊D61C2414yes—
852C2×C22⋊D61C2412yes—
853C2×C22⋊D61C2412yes—
854C2×C22⋊D61C2412yes—
855C2×C22⋊D61C2414yes—
856C2×C22⋊D61C2414yes—
857C2×C22⋊D61C2412yes—
858C2×C22⋊D61C2414yes—
859C2×C22⋊D61C2412yes—
860C2×C22⋊D61C2412yes—
861C2×C22⋊D61C2414yes—
862C22×Dic61—48no—
863C22×Dic61C2411yescharacteristic
864C22×Dic61C2412yes—
865C22×Dic61C2412yes—
866C22×Dic61C2414yes—
867C22×Dic61C2412yes—
868C22×Dic61C2411yescharacteristic
869C22×Dic61C2411yescharacteristic
870C22×Dic61C2414yes—
871C22×Dic61C2414yes—
872C22×Dic61C2414yes—
873C22×Dic61C2414yes—
874C22×Dic61C2412yes—
875C22×Dic61C2412yes—
876C22×Dic61C2414yes—
877C22×Dic61C2414yes—
878C22×Dic61C2412yes—
879#11758226—42no—
880Q8×D61—44no—
881#11758224—42no—
882#11758224—44no—
883#11758224—42no—
884#11758224—44no—
885#11758224—42no—
886#11758224—44no—
887#11758224—44no—
888#11758224—44no—
889#11758224—48no—
890#11758222—44no—
891#11758222—44no—
892C2×D244C2411yescharacteristic
893C2×D244C2412yes—
894C2×D244C2412yes—
895C2×C4×D61—42no—
896C2×C4×D61—42no—
897C2×C4×D61—42no—
898C2×C4×D61C2411yescharacteristic
899C2×C4×D61C2411yescharacteristic
900C2×C4×D61C2411yescharacteristic
901C2×C4×D61C2411yescharacteristic
902C2×C4×D61C2411yescharacteristic
903C2×C4×D61C2411yescharacteristic
904C2×C4×D61C2412yes—
905C2×C4×D61C2412yes—
906C2×C4×D61C2411yescharacteristic
907C2×C4×D61C2411yescharacteristic
908C2×C4×D61C2411yescharacteristic
909C2×C4×D61C2411yescharacteristic
910C2×C4×D61C2411yescharacteristic
911C2×C4×D61C2411yescharacteristic
912C2×C4×D61C2414yes—
913C2×C4×D61C2414yes—
914C2×C4×D61C2412yes—
915C2×Dic122—44no—
916C2×Dic122C2411yescharacteristic
917C2×Dic122C2411yescharacteristic
918C2×Dic122C2412yes—
919C2×Dic122C2411yescharacteristic
920C2×Dic122C2414yes—
921C2×Dic122C2414yes—
922C2×Dic122C2412yes—
923C2×Dic122C2412yes—
924C2×Dic122C2412yes—
925C2×Dic122C2414yes—
926C2×Dic122C2412yes—
927C4⋊C4×C61C2411yescharacteristic
928C4⋊C4×C61C2412yes—
929C4⋊C4×C61C2414yes—
930C4⋊C4×C61C2411yescharacteristic
931C4⋊C4×C61C2412yes—
932C4⋊C4×C61C2412yes—
933C4⋊C4×C61C2411yescharacteristic
934C4⋊C4×C61C2412yes—
935C4⋊C4×C61C2411yescharacteristic
936C4⋊C4×C61C2412yes—
937C4⋊C4×C61C2412yes—
938C4⋊C4×C61C2414yes—
939C4⋊C4×C61C2412yes—
940C22⋊C4×C61C2412yes—
941C22⋊C4×C61C2412yes—
942C22⋊C4×C61C2414yes—
943C22⋊C4×C61C2414yes—
944C22⋊C4×C61C2414yes—
945C22⋊C4×C61C2412yes—
946C22⋊C4×C61C2412yes—
947C22⋊C4×C61C2412yes—
948C22⋊C4×C61C2412yes—
949C22⋊C4×C61C2412yes—
950C22⋊C4×C61C2414yes—
951C22⋊C4×C61C2414yes—
952C22⋊C4×C61C2414yes—
953C22⋊C4×C61C2414yes—
954C22⋊C4×C61C2412yes—
955C22⋊C4×C61C2412yes—
956C42×C61C2411yescharacteristic
957C42×C61C2411yescharacteristic
958C42×C61C2411yescharacteristic
959C42×C61C2411yescharacteristic
960C42×C61C2412yes—
961C42×C61C2414yes—
962C22⋊Dic61C2412yes—
963C22⋊Dic61C2412yes—
964C22⋊Dic61C2412yes—
965C22⋊Dic61C2412yes—
966C22⋊Dic61C2414yes—
967C22⋊Dic61C2414yes—
968C22⋊Dic61C2414yes—
969C22⋊Dic61C2414yes—
970C22⋊Dic61C2414yes—
971C22⋊Dic61C2414yes—
972C22⋊Dic61C2414yes—
973C22⋊Dic61C2414yes—
974C22⋊Dic61C2412yes—
975C22⋊Dic61C2412yes—
976C22⋊Dic61C2412yes—
977C22⋊Dic61C2414yes—
978C22⋊Dic61C2414yes—
979C22⋊Dic61C2412yes—
980C22⋊Dic61C2414yes—
981C22⋊Dic61C2412yes—
982C22⋊Dic61C2412yes—
983C22⋊Dic61C2414yes—
984C22⋊Dic61C2412yes—
985C22⋊Dic61C2414yes—
986C22⋊Dic61C2414yes—
987C22⋊Dic61C2412yes—
988C22⋊Dic61C2414yes—
989C22⋊Dic61C2412yes—
990C22⋊Dic61C2414yes—
991#11758198C2412yes—
992#11758198C2412yes—
993#11758198C2412yes—
994#11758198C2412yes—
995#11758198C2412yes—
996#11758198C2414yes—
997#11758198C2412yes—
998#11758198C2412yes—
999#11758198C2412yes—
1000#11758198C2412yes—
1001#11758198C2414yes—
1002#11758198C2414yes—
1003#11758198C2412yes—
1004#11758198C2412yes—
1005#11758198C2412yes—
1006#11758198C2414yes—
1007#11758198C2412yes—
1008#11758198C2412yes—
1009C4⋊Dic61C2412yes—
1010C4⋊Dic61C2414yes—
1011C4⋊Dic61C2411yescharacteristic
1012C4⋊Dic61C2411yescharacteristic
1013C4⋊Dic61C2412yes—
1014C4⋊Dic61C2412yes—
1015C4⋊Dic61C2414yes—
1016C4⋊Dic61C2414yes—
1017C4⋊Dic61C2411yescharacteristic
1018C4⋊Dic61C2412yes—
1019C4⋊Dic61C2411yescharacteristic
1020C4⋊Dic61C2412yes—
1021C4⋊Dic61C2412yes—
1022C4⋊Dic61C2412yes—
1023C4⋊Dic61C2412yes—
1024C4⋊Dic61C2412yes—
1025C4⋊Dic61C2414yes—
1026C4⋊Dic61C2412yes—
1027C4⋊Dic61C2412yes—
1028C4⋊Dic61C2414yes—
1029C4⋊Dic61C2414yes—
1030C4⋊Dic61C2412yes—
1031C4⋊Dic61C2412yes—
1032#11758196C2412yes—
1033#11758196C2414yes—
1034#11758196C2414yes—
1035#11758196C2412yes—
1036#11758196C2412yes—
1037#11758196C2412yes—
1038#11758196C2412yes—
1039#11758196C2412yes—
1040#11758196C2414yes—
1041#11758196C2414yes—
1042#11758196C2414yes—
1043#11758196C2414yes—
1044#11758196C2414yes—
1045#11758196C2414yes—
1046#11758196C2414yes—
1047#11758196C2412yes—
1048#11758196C2412yes—
1049#11758196C2412yes—
1050#11758196C2414yes—
1051#11758196C2412yes—
1052#11758196C2414yes—
1053#11758196C2414yes—
1054#11758196C2414yes—
1055#11758196C2412yes—
1056#11758196C2412yes—
1057#11758196C2412yes—
1058#11758196C2414yes—
1059#11758196C2414yes—
1060#11758196C2412yes—
1061#11758196C2414yes—
1062#11758196C2412yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2412yes—
1066C4×Dic61C2411yescharacteristic
1067C4×Dic61C2411yescharacteristic
1068C4×Dic61C2411yescharacteristic
1069C4×Dic61C2411yescharacteristic
1070C4×Dic61C2411yescharacteristic
1071C4×Dic61C2411yescharacteristic
1072C4×Dic61C2412yes—
1073C4×Dic61C2411yescharacteristic
1074C4×Dic61C2411yescharacteristic
1075C4×Dic61C2411yescharacteristic
1076C4×Dic61C2411yescharacteristic
1077C4×Dic61C2411yescharacteristic
1078C4×Dic61C2411yescharacteristic
1079C4×Dic61C2412yes—
1080C4×Dic61C2414yes—
1081C4×Dic61C2412yes—
1082C4×Dic61C2414yes—
1083C4×Dic61C2412yes—
1084C4×Dic61C2412yes—
1085C4×Dic61C2414yes—
1086C4×Dic61C2414yes—
1087C4×Dic61C2414yes—
1088C4×Dic61C2414yes—
1089C4×Dic61C2412yes—
1090C4×Dic61C2412yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2412yes—
1093C4×Dic61C2414yes—
1094C4×Dic61C2412yes—
1095C4×Dic61C2412yes—
1096C4×Dic61C2414yes—
1097C23×C61—44no—
1098C23×C61—44no—
1099C23×C61—44no—
1100C23×C61C2511yescharacteristic
1101C23×C61C2512yes—
1102C23×C61C2512yes—
1103C23×C61C2514yes—
1104C23×C61C2512yes—
1105C22×D61—41no—
1106C22×D61—41no—
1107C22×D61—41no—
1108C22×D61C2511yescharacteristic
1109C22×D61C2511yescharacteristic
1110C22×D61C2512yes—
1111Q8×C61—24no—
1112Q8×C61—22no—
1113Q8×C61—42no—
1114D4×C61—22no—
1115D4×C61—22no—
1116D4×C61—24no—
1117D4×C61—24no—
1118D4×C61—22no—
1119D4×C61—42no—
1120D4×C61—44no—
1121D4×C61—42no—
1122D4×C61—42no—
1123D4×C61—44no—
1124D4×C61—44no—
1125D4×C61—42no—
1126D4×C61—44no—
1127D4×C61—44no—
1128D4×C61—42no—
1129D4×C61—42no—
1130D4×C61—44no—
1131C2×C4×C61—24no—
1132C2×C4×C61—22no—
1133C2×C4×C61—22no—
1134C2×C4×C61—24no—
1135C2×C4×C61—24no—
1136C2×C4×C61—41no—
1137C2×C4×C61—44no—
1138C2×C4×C61—44no—
1139C2×C4×C61—44no—
1140C2×C4×C61C2511yescharacteristic
1141C2×C4×C61C2512yes—
1142C2×C4×C61C2512yes—
1143C2×C4×C61C2512yes—
1144C2×C4×C61C2514yes—
1145C2×C4×C61C2512yes—
1146C2×C4×C61C2511yescharacteristic
1147C2×C4×C61C2512yes—
1148C2×C4×C61C2511yescharacteristic
1149C2×C4×C61C2511yescharacteristic
1150C2×C4×C61C2511yescharacteristic
1151C2×C4×C61C2511yescharacteristic
1152C22⋊D61—44no—
1153C22⋊D61—42no—
1154C22⋊D61—42no—
1155C22⋊D61—42no—
1156C22⋊D61—42no—
1157C22⋊D61—44no—
1158C22⋊D61—44no—
1159C22⋊D61—42no—
1160C22⋊D61—42no—
1161C22⋊D61—44no—
1162C22⋊D61—42no—
1163C22⋊D61—44no—
1164C22⋊D61—44no—
1165C22⋊D61—42no—
1166C22⋊D61—42no—
1167C2×Dic61—22no—
1168C2×Dic61—24no—
1169C2×Dic61—28no—
1170C2×Dic61—24no—
1171C2×Dic61—24no—
1172C2×Dic61—44no—
1173C2×Dic61—41no—
1174C2×Dic61—41no—
1175C2×Dic61—42no—
1176C2×Dic61—42no—
1177C2×Dic61—44no—
1178C2×Dic61—44no—
1179C2×Dic61—42no—
1180C2×Dic61—44no—
1181C2×Dic61—44no—
1182C2×Dic61—44no—
1183C2×Dic61C2511yescharacteristic
1184C2×Dic61C2511yescharacteristic
1185C2×Dic61C2511yescharacteristic
1186C2×Dic61C2512yes—
1187C2×Dic61C2512yes—
1188C2×Dic61C2514yes—
1189C2×Dic61C2512yes—
1190C2×Dic61C2511yescharacteristic
1191C2×Dic61C2512yes—
1192C2×Dic61C2512yes—
1193C2×Dic61C2514yes—
1194C2×Dic61C2511yescharacteristic
1195C2×Dic61C2512yes—
1196C2×Dic61C2512yes—
1197C2×Dic61C2511yescharacteristic
1198D244—22no—
1199D244—42no—
1200D244—42no—
1201C4×D61—22no—
1202C4×D61—22no—
1203C4×D61—22no—
1204C4×D61—22no—
1205C4×D61—24no—
1206C4×D61—22no—
1207C4×D61—22no—
1208C4×D61—24no—
1209C4×D61—41no—
1210C4×D61—41no—
1211C4×D61—41no—
1212C4×D61—41no—
1213C4×D61—41no—
1214C4×D61—41no—
1215C4×D61—44no—
1216C4×D61—44no—
1217C4×D61—42no—
1218Dic122—22no—
1219Dic122—24no—
1220Dic122—22no—
1221Dic122—22no—
1222Dic122—44no—
1223Dic122—42no—
1224Dic122—44no—
1225Dic122—42no—
1226Dic122—42no—
1227Dic122—42no—
1228Dic122—44no—
1229#62762—611nomaximal, Sylow
1230C22×C61—22no—
1231C22×C61—22no—
1232C22×C61—24no—
1233C22×C61—22no—
1234C22×C61—21no—
1235C22×C61—22no—
1236C22×C61—22no—
1237C22×C61—24no—
1238C22×C61—24no—
1239C22×C61—22no—
1240C22×C61—22no—
1241C22×C61—21no—
1242C22×C61—21no—
1243C22×C61—22no—
1244C22×C61—22no—
1245C22×C61—88no—
1246C22×C61C2611yescharacteristic
1247C2×D61—22no—
1248C2×D61—21no—
1249C2×D61—21no—
1250C2×D61—21no—
1251C2×D61—21no—
1252C2×D61—21no—
1253C2×D61—21no—
1254C2×D61—22no—
1255C2×D61—22no—
1256C2×D61—44no—
1257C4×C61—22no—
1258C4×C61—21no—
1259C4×C61—21no—
1260C4×C61—22no—
1261C4×C61—24no—
1262C4×C61—22no—
1263C4×C61—21no—
1264C4×C61—22no—
1265C4×C61—21no—
1266C4×C61—22no—
1267C4×C61#58512yes—
1268C4×C61#58512yes—
1269Dic61—22no—
1270Dic61—22no—
1271Dic61—24no—
1272Dic61—22no—
1273Dic61—22no—
1274Dic61—22no—
1275Dic61—21no—
1276Dic61—21no—
1277Dic61—24no—
1278Dic61—22no—
1279Dic61—22no—
1280Dic61—21no—
1281Dic61—21no—
1282Dic61—21no—
1283Dic61#58512yes—
1284#3566—614no—
1285#3566—614no—
1286#3565—612no—
1287#3565—612no—
1288#3562—612no—
1289#3562—612no—
1290#3555—611no—
1291#3555—611no—
1292#3554—611no—
1293#3554—611no—
1294#3547—611no—
1295#3547—611no—
1296#3546—611no—
1297#3546D6111yescharacteristic, complemented
1298#3540—612no—
1299#3540—612no—
1300#3539—612no—
1301#3539—612no—
1302#3529—614no—
1303#3483—611no—
1304#3482—611no—
1305#3482—611no—
1306#3481—611no—
1307#3480—612no—
1308#3480—612no—
1309#3475—612no—
1310#3475—612no—
1311#3461—612no—
1312#3461—612no—
1313#3460—612no—
1314#3460—612no—
1315#3455—614no—
1316#3444—611no—
1317#3444—611no—
1318#3444—611no—
1319C2×C61—41no—
1320C2×C61—42no—
1321C2×C61—44no—
1322C2×C61—42no—
1323C2×C61—42no—
1324C2×C61C2×#58511yescharacteristic
1325C2×C61C2×#58511yescharacteristic
1326C2×C61C2×#58511yescharacteristic
1327D61—42no—
1328D61—41no—
1329D61—41no—
1330#563—614no—
1331#563—614no—
1332#563—614no—
1333#562—614no—
1334#562—614no—
1335#562—614no—
1336#562—614no—
1337#562—614no—
1338#562—614no—
1339H(3,𝔽4)—614no—
1340#560—614no—
1341#560—614no—
1342#560—614no—
1343#560—614no—
1344#560—614no—
1345#560C2×D6114yes—
1346#559—614no—
1347#559—612no—
1348#559—611no—
1349#559—614no—
1350#559—612no—
1351Q82—611no—
1352#557—611no—
1353#557—612no—
1354#557—611no—
1355#557—612no—
1356#556—614no—
1357#556—612no—
1358#556—612no—
1359#556—612no—
1360#556—612no—
1361#556—614no—
1362#556—611no—
1363#556—612no—
1364#556—612no—
1365#556C2×D6111yescharacteristic, complemented
1366#555—612no—
1367#555—612no—
1368#555—612no—
1369#555—614no—
1370#555—612no—
1371#555—611no—
1372#554—611no—
1373#554—611no—
1374#554—612no—
1375#554—612no—
1376#553—614no—
1377#553—614no—
1378#553—614no—
1379#553—612no—
1380#553—614no—
1381#553—612no—
1382#553—614no—
1383#553—612no—
1384#553—612no—
1385#553—614no—
1386#553—612no—
1387#553C2×D6112yescomplemented
1388#552—614no—
1389#552—614no—
1390#552—614no—
1391#552—614no—
1392#552—612no—
1393#552—612no—
1394#552—612no—
1395#552—612no—
1396#552—612no—
1397#552—612no—
1398#551—614no—
1399#551—614no—
1400#551—614no—
1401#551—614no—
1402#551—614no—
1403#550—612no—
1404#550—612no—
1405#550—611no—
1406#550—612no—
1407#550C2×D6112yes—
1408#550C2×D6111yescharacteristic, complemented
1409D4×Q8—611no—
1410D4×Q8—611no—
1411#548—612no—
1412#548—612no—
1413#548—612no—
1414#548—612no—
1415#548—612no—
1416#548—612no—
1417#547—612no—
1418#547—612no—
1419#547—612no—
1420#547—612no—
1421#547—611no—
1422#547C2×D6111yescharacteristic, complemented
1423#546—612no—
1424#546—612no—
1425#546—612no—
1426#546—612no—
1427#546C2×D6112yes—
1428#546C2×D6112yescomplemented
1429D42C2×D6111yescharacteristic, complemented
1430#544—612no—
1431#544—612no—
1432#544—612no—
1433#544—612no—
1434#542—614no—
1435#542—614no—
1436#542—612no—
1437#542—612no—
1438#542—614no—
1439#542—614no—
1440#542—614no—
1441#542—614no—
1442#542—612no—
1443#542—612no—
1444#542—614no—
1445#542—612no—
1446#542—614no—
1447#542—612no—
1448#542—612no—
1449#542C2×D6112yescomplemented
1450#541—614no—
1451#541—614no—
1452#541—614no—
1453#541—612no—
1454#541—612no—
1455#541—614no—
1456#541—612no—
1457#541—612no—
1458#540—612no—
1459#540—614no—
1460#540—612no—
1461#540—614no—
1462#540—614no—
1463#540—612no—
1464#540—614no—
1465#540—612no—
1466#539—614no—
1467#539—614no—
1468#539—614no—
1469#539—614no—
1470#539—614no—
1471#539—614no—
1472#539—614no—
1473#539—614no—
1474#538—614no—
1475#538—614no—
1476#538—614no—
1477#538—614no—
1478#538—614no—
1479#538—614no—
1480#538—614no—
1481#538C2×D6114yescomplemented
1482#537—612no—
1483#537—612no—
1484#537—612no—
1485#537C2×D6112yes—
1486#536—612no—
1487#536—612no—
1488#536—612no—
1489#536—612no—
1490#535—612no—
1491#535—612no—
1492#535C2×D6112yes—
1493#535C2×D6112yescomplemented
1494#533—611no—
1495#533—611no—
1496#533—611no—
1497#533—611no—
1498#533—611no—
1499#533—611no—
1500#533—614no—
1501#533—612no—
1502#533—612no—
1503#533—611no—
1504#533—611no—
1505#533—611no—
1506#532—611no—
1507#532—611no—
1508#532—611no—
1509#532—611no—
1510#532—612no—
1511#532—614no—
1512#532—611no—
1513#532—611no—
1514#532—614no—
1515#532—612no—
1516#532—614no—
1517#532—611no—
1518#532C2×D6111yescharacteristic
1519#532C2×D6111yescharacteristic
1520#529—612no—
1521#529—612no—
1522#529—614no—
1523#529—614no—
1524#529—611no—
1525#529—611no—
1526#529—612no—
1527#529—612no—
1528#529—612no—
1529#529—612no—
1530#529—614no—
1531#529—612no—
1532#529—612no—
1533#529—614no—
1534#529—614no—
1535#529—614no—
1536#529—611no—
1537#529—612no—
1538#529—611no—
1539#529—612no—
1540#529—612no—
1541#529—614no—
1542#529—614no—
1543#529—612no—
1544#529—614no—
1545#529—612no—
1546#529—612no—
1547#529—614no—
1548#529—611no—
1549#529—611no—
1550#529—612no—
1551#529—612no—
1552#529—612no—
1553#529—612no—
1554#529—611no—
1555#529C2×D6111yescharacteristic
1556#525—612no—
1557#525—612no—
1558#525—612no—
1559#525—611no—
1560#525—611no—
1561#525—611no—
1562#525—612no—
1563#525—612no—
1564#525—611no—
1565#525—612no—
1566#525—614no—
1567#525—614no—
1568#525—614no—
1569#525—614no—
1570#525—612no—
1571C4×#41—612no—
1572C4×#41—612no—
1573C4×#41—612no—
1574C4×#41—612no—
1575C4×#41—611no—
1576C4×#41—611no—
1577C4×#41—611no—
1578C4×#41—612no—
1579C4×#41—612no—
1580C4×#41—612no—
1581C4×#41—612no—
1582C4×#41—611no—
1583C4×#41—614no—
1584C4×#41—612no—
1585C4×#41—612no—
1586C4×#41—612no—
1587C2×C4×Q8—612no—
1588C2×C4×Q8—612no—
1589C2×C4×D4—612no—
1590C2×C4×D4—612no—
1591C2×#117—614no—
1592C22×C42—611no—
1593C61#6276211yescharacteristic, complemented, Sylow
1594C2×#41—611no—
1595C2×#41—612no—
1596C2×#41—612no—
1597C2×#41—612no—
1598C2×#41—614no—
1599C2×#41—611no—
1600C2×#41—611no—
1601C2×#41—612no—
1602C2×#41—611no—
1603C2×#41—612no—
1604C2×#41—612no—
1605C2×#41—612no—
1606C2×#41C22×D6112yes—
1607C2×#41C22×D6112yes—
1608C2×#41C22×D6112yes—
1609C2×#41C22×D6112yes—
1610C22×Q8—612no—
1611C22×Q8—612no—
1612C22×D4C22×D6112yes—
1613C22×D4C22×D6112yes—
1614C23×C4—614no—
1615C23×C4—611no—
1616C23×C4—611no—
1617C23×C4—611no—
1618C4⋊Q8—611no—
1619C4⋊Q8—614no—
1620C4⋊Q8—612no—
1621C4⋊Q8—612no—
1622C4⋊Q8—611no—
1623C4⋊Q8—611no—
1624C4⋊Q8—614no—
1625C4⋊Q8—612no—
1626C4⋊Q8—614no—
1627C4⋊Q8—614no—
1628C4⋊Q8—612no—
1629C4⋊Q8—612no—
1630C4⋊Q8—611no—
1631C4⋊Q8—611no—
1632C4⋊Q8—611no—
1633C4⋊Q8—611no—
1634C4⋊Q8—612no—
1635C4⋊Q8—614no—
1636C4⋊Q8C22×D6111yescharacteristic
1637C4⋊Q8C22×D6111yescharacteristic
1638#127—611no—
1639#127—612no—
1640#127—614no—
1641#127—614no—
1642#127C22×D6111yescharacteristic
1643#127C22×D6111yescharacteristic
1644#127C22×D6114yes—
1645#127C22×D6112yes—
1646#126—612no—
1647#126—614no—
1648#126—614no—
1649#126—614no—
1650#126—612no—
1651#126—614no—
1652#126—614no—
1653#126—612no—
1654#126—612no—
1655#126—612no—
1656#126—612no—
1657#126—614no—
1658#126—614no—
1659#126—614no—
1660#126—614no—
1661#126—614no—
1662#126—614no—
1663#126—614no—
1664#126—614no—
1665#126—614no—
1666#126—614no—
1667#126—614no—
1668#126—614no—
1669#126—614no—
1670#126—614no—
1671#126—614no—
1672#126—614no—
1673#126—614no—
1674#126—612no—
1675#126—614no—
1676#126—614no—
1677#126C22×D6112yes—
1678#126C22×D6114yes—
1679#126C22×D6114yes—
1680#125—612no—
1681#125—612no—
1682#125—612no—
1683#125—612no—
1684#125—612no—
1685#125—611no—
1686#125—611no—
1687#125—614no—
1688#125—614no—
1689#125—614no—
1690#125—614no—
1691#125—614no—
1692#125—612no—
1693#125—614no—
1694#125—614no—
1695#125—614no—
1696#125—614no—
1697#125—612no—
1698#125—612no—
1699#125—614no—
1700#125—614no—
1701#125—614no—
1702#125—614no—
1703#125—612no—
1704#125—612no—
1705#125—611no—
1706#125—614no—
1707#125—612no—
1708#125C22×D6111yescharacteristic
1709#124—612no—
1710#124—612no—
1711#124—611no—
1712#124—611no—
1713#124—612no—
1714#124—614no—
1715#124—612no—
1716#124—612no—
1717#124—612no—
1718#124—614no—
1719#124—614no—
1720#124—614no—
1721#124—614no—
1722#124—614no—
1723#124—614no—
1724#124—612no—
1725#124—612no—
1726#124—614no—
1727#124—614no—
1728#124—614no—
1729#124—614no—
1730#124—614no—
1731#124—614no—
1732#124—614no—
1733#124—614no—
1734#124—614no—
1735#124—614no—
1736#124—611no—
1737#124C22×D6112yes—
1738#124C22×D6112yes—
1739#124C22×D6111yescharacteristic
1740#124C22×D6114yes—
1741#124C22×D6112yes—
1742#123—614no—
1743#123—612no—
1744#123—612no—
1745#123—614no—
1746#123—614no—
1747#123—614no—
1748#123—614no—
1749#123—614no—
1750#123—614no—
1751#123—614no—
1752#123—614no—
1753#123—614no—
1754#123—614no—
1755#123—614no—
1756#123—614no—
1757#123—614no—
1758#123—614no—
1759#123—614no—
1760#123—612no—
1761#123—614no—
1762#123—614no—
1763#123—614no—
1764#123—612no—
1765#123—612no—
1766#123—614no—
1767#123—614no—
1768#123—612no—
1769#123—612no—
1770#123—614no—
1771#123—612no—
1772#123—612no—
1773#123—612no—
1774#123—614no—
1775#123—612no—
1776#123—614no—
1777#123—614no—
1778#123—614no—
1779#123—614no—
1780#123—614no—
1781#123—614no—
1782#123—614no—
1783#123—614no—
1784#123—614no—
1785#123C22×D6112yes—
1786#123C22×D6114yes—
1787#123C22×D6114yes—
1788#123C22×D6114yes—
1789C22⋊Q8—612no—
1790C22⋊Q8—612no—
1791C22⋊Q8—612no—
1792C22⋊Q8—611no—
1793C22⋊Q8—612no—
1794C22⋊Q8—614no—
1795C22⋊Q8—612no—
1796C22⋊Q8—611no—
1797C22⋊Q8—612no—
1798C22⋊Q8—611no—
1799C22⋊Q8—611no—
1800C22⋊Q8—612no—
1801C22⋊Q8—612no—
1802C22⋊Q8—612no—
1803C22⋊Q8—612no—
1804C22⋊Q8—614no—
1805C22⋊Q8—614no—
1806C22⋊Q8—612no—
1807C22⋊Q8—614no—
1808C22⋊Q8—614no—
1809C22⋊Q8—614no—
1810C22⋊Q8—612no—
1811C22⋊Q8—612no—
1812C22⋊Q8—611no—
1813C22⋊Q8—611no—
1814C22⋊Q8—612no—
1815C22⋊Q8—612no—
1816C22⋊Q8—611no—
1817C22⋊Q8—612no—
1818C22⋊Q8—612no—
1819C22⋊Q8—612no—
1820C22⋊Q8—612no—
1821C22⋊Q8—614no—
1822C22⋊Q8—614no—
1823C22⋊Q8—612no—
1824C22⋊Q8—614no—
1825C22⋊Q8—614no—
1826C22⋊Q8—614no—
1827C22⋊Q8—614no—
1828C22⋊Q8—614no—
1829C22⋊Q8—614no—
1830C22⋊Q8—614no—
1831C22⋊Q8—614no—
1832C22⋊Q8—614no—
1833C22⋊Q8—614no—
1834C22⋊Q8—614no—
1835C22⋊Q8—614no—
1836C22⋊Q8—614no—
1837C22⋊Q8—614no—
1838C22⋊Q8—614no—
1839C22⋊Q8C22×D6111yescharacteristic
1840C22⋊Q8C22×D6112yes—
1841C22⋊Q8C22×D6114yes—
1842C22⋊Q8C22×D6112yes—
1843#121—611no—
1844#121—612no—
1845#121—611no—
1846#121—612no—
1847#121—612no—
1848#121—612no—
1849#121—611no—
1850#121—612no—
1851#121—612no—
1852#121—612no—
1853#121—612no—
1854#121—614no—
1855#121—614no—
1856#121—614no—
1857#121—614no—
1858#121—614no—
1859#121—614no—
1860#121—614no—
1861#121—614no—
1862#121—614no—
1863#121—612no—
1864#121—614no—
1865#121—614no—
1866#121—614no—
1867#121—612no—
1868#121—614no—
1869#121—612no—
1870#121—614no—
1871#121—614no—
1872#121—614no—
1873#121—614no—
1874#121—614no—
1875#121—614no—
1876#121—614no—
1877#121—614no—
1878#121—614no—
1879#121—611no—
1880#121—612no—
1881#121—614no—
1882#121—614no—
1883#121—611no—
1884#121—612no—
1885#121—612no—
1886#121—612no—
1887#121—614no—
1888#121—614no—
1889#121C22×D6112yes—
1890#121C22×D6111yescharacteristic
1891#121C22×D6111yescharacteristic
1892#121C22×D6112yes—
1893#121C22×D6112yes—
1894#121C22×D6111yescharacteristic
1895#121C22×D6112yes—
1896#121C22×D6114yes—
1897#121C22×D6112yes—
1898#121C22×D6114yes—
1899#121C22×D6112yes—
1900#121C22×D6114yes—
1901#121C22×D6114yes—
1902#121C22×D6112yes—
1903#121C22×D6114yes—
1904#121C22×D6114yes—
1905#120—614no—
1906#120—614no—
1907#120—614no—
1908#120—614no—
1909#120—612no—
1910#120—614no—
1911#120—612no—
1912#120—612no—
1913#120—612no—
1914#120C22×D6114yes—
1915#120C22×D6114yes—
1916#120C22×D6114yes—
1917#120C22×D6114yes—
1918C4×Q8—612no—
1919C4×Q8—611no—
1920C4×Q8—612no—
1921C4×Q8—612no—
1922C4×Q8—612no—
1923C4×Q8—612no—
1924C4×Q8—612no—
1925C4×Q8—611no—
1926C4×Q8—611no—
1927C4×Q8—612no—
1928C4×Q8—614no—
1929C4×Q8—614no—
1930C4×Q8—612no—
1931C4×Q8—612no—
1932C4×Q8—614no—
1933C4×Q8—611no—
1934C4×Q8—612no—
1935C4×Q8—612no—
1936C4×Q8—612no—
1937C4×Q8—612no—
1938C4×Q8—612no—
1939C4×Q8—614no—
1940C4×Q8—612no—
1941C4×Q8—612no—
1942C4×Q8—614no—
1943C4×Q8—612no—
1944C4×Q8—612no—
1945C4×Q8—611no—
1946C4×Q8—611no—
1947C4×Q8—611no—
1948C4×Q8—612no—
1949C4×Q8—612no—
1950C4×Q8—612no—
1951C4×Q8—614no—
1952C4×Q8C22×D6112yes—
1953C4×Q8C22×D6111yescharacteristic
1954C4×D4—611no—
1955C4×D4—611no—
1956C4×D4—612no—
1957C4×D4—612no—
1958C4×D4—614no—
1959C4×D4—614no—
1960C4×D4—612no—
1961C4×D4—612no—
1962C4×D4—612no—
1963C4×D4—612no—
1964C4×D4—614no—
1965C4×D4—614no—
1966C4×D4—611no—
1967C4×D4—612no—
1968C4×D4—612no—
1969C4×D4—614no—
1970C4×D4—614no—
1971C4×D4—612no—
1972C4×D4—614no—
1973C4×D4—612no—
1974C4×D4—612no—
1975C4×D4—612no—
1976C4×D4—614no—
1977C4×D4—612no—
1978C4×D4—612no—
1979C4×D4—612no—
1980C4×D4—612no—
1981C4×D4—614no—
1982C4×D4—614no—
1983C4×D4—614no—
1984C4×D4—612no—
1985C4×D4—612no—
1986C4×D4—614no—
1987C4×D4—612no—
1988C4×D4—612no—
1989C4×D4—612no—
1990C4×D4—612no—
1991C4×D4—612no—
1992C4×D4—612no—
1993C4×D4—614no—
1994C4×D4—612no—
1995C4×D4—614no—
1996C4×D4—614no—
1997C4×D4—614no—
1998C4×D4—611no—
1999C4×D4—612no—
2000C4×D4—612no—
2001C4×D4—612no—
2002C4×D4—612no—
2003C4×D4—612no—
2004C4×D4—612no—
2005C4×D4—612no—
2006C4×D4—614no—
2007C4×D4—612no—
2008C4×D4—614no—
2009C4×D4—612no—
2010C4×D4—614no—
2011C4×D4—612no—
2012C4×D4—614no—
2013C4×D4—612no—
2014C4×D4—612no—
2015C4×D4—612no—
2016C4×D4—612no—
2017C4×D4—612no—
2018C4×D4—614no—
2019C4×D4—614no—
2020C4×D4—614no—
2021C4×D4—612no—
2022C4×D4—611no—
2023C4×D4C22×D6112yes—
2024C4×D4C22×D6112yes—
2025C4×D4C22×D6111yescharacteristic
2026C4×D4C22×D6112yes—
2027C4×D4C22×D6112yes—
2028C4×D4C22×D6111yescharacteristic
2029C4×D4C22×D6111yescharacteristic
2030C4×D4C22×D6114yes—
2031C4×D4C22×D6112yes—
2032#117—612no—
2033#117—612no—
2034#117—612no—
2035#117—612no—
2036#117—614no—
2037#117—612no—
2038#117—612no—
2039#117—614no—
2040#117—614no—
2041#117—612no—
2042#117—612no—
2043#117—612no—
2044#117—611no—
2045#117—611no—
2046#117—612no—
2047#117—611no—
2048#117—611no—
2049#117—612no—
2050#117—612no—
2051#117—612no—
2052#117—612no—
2053#117—614no—
2054#117—614no—
2055#117—614no—
2056#117—614no—
2057#117—614no—
2058#117—614no—
2059#117—612no—
2060#117—614no—
2061#117—612no—
2062#117—614no—
2063#117—612no—
2064#117—612no—
2065#117—614no—
2066#117—612no—
2067#117—614no—
2068#117—612no—
2069#117—612no—
2070#117—614no—
2071#117C22×D6112yes—
2072#117C22×D6112yes—
2073C2×C4⋊C4—614no—
2074C2×C4⋊C4—614no—
2075C2×C4⋊C4—612no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—614no—
2078C2×C4⋊C4—612no—
2079C2×C4⋊C4—614no—
2080C2×C4⋊C4C22×D6112yes—
2081C2×C22⋊C4—614no—
2082C2×C22⋊C4—614no—
2083C2×C22⋊C4—614no—
2084C2×C22⋊C4C22×D6114yes—
2085C2×C42—614no—
2086C2×C42—614no—
2087C2×C42—612no—
2088C2×C42—612no—
2089C2×C42—612no—
2090C2×C42—614no—
2091C2×C42—611no—
2092C2×C42—611no—
2093C2×C42—611no—
2094C2×C42—612no—
2095C2×C42—614no—
2096C2×C42—611no—
2097C2×C42—611no—
2098C2×C42—611no—
2099C2×C42—611no—
2100C2×C42—611no—
2101C2×C42—611no—
2102C2×C42—611no—
2103C2×C42—611no—
2104C2×C42C22×D6111yescharacteristic
2105C24—611no—
2106C24C23×D6114yes—
2107#41—44no—
2108#41—44no—
2109#41—44no—
2110#41—44no—
2111#41—2444no—
2112#41—2444no—
2113#41—2444no—
2114#41—2444no—
2115#41—2444no—
2116#41—2448no—
2117#41—2442no—
2118#41—2442no—
2119#41—2444no—
2120#41—2442no—
2121#41—2444no—
2122#41—2442no—
2123C2×Q8—611no—
2124C2×Q8—611no—
2125C2×Q8—612no—
2126C2×Q8—611no—
2127C2×Q8—614no—
2128C2×Q8—614no—
2129C2×Q8—612no—
2130C2×Q8—612no—
2131C2×Q8—612no—
2132C2×Q8—612no—
2133C2×Q8—614no—
2134C2×Q8—2444no—
2135C2×Q8—2444no—
2136C2×Q8C23×D6112yes—
2137C2×Q8C23×D6111yescharacteristic
2138C2×Q8C23×D6112yes—
2139C2×D4—44no—
2140C2×D4—44no—
2141C2×D4—612no—
2142C2×D4—612no—
2143C2×D4—612no—
2144C2×D4—612no—
2145C2×D4—614no—
2146C2×D4—614no—
2147C2×D4—612no—
2148C2×D4—612no—
2149C2×D4—614no—
2150C2×D4—612no—
2151C2×D4—612no—
2152C2×D4—612no—
2153C2×D4—614no—
2154C2×D4—614no—
2155C2×D4—614no—
2156C2×D4—611no—
2157C2×D4—612no—
2158C2×D4—612no—
2159C2×D4C23×D6111yescharacteristic
2160C2×D4C23×D6112yes—
2161C2×D4C23×D6111yescharacteristic
2162C2×D4C23×D6111yescharacteristic
2163C2×D4C23×D6112yes—
2164C2×D4C23×D6112yes—
2165C2×D4C23×D6114yes—
2166C2×D4C23×D6112yes—
2167C2×D4C23×D6112yes—
2168C2×D4C23×D6114yes—
2169C2×D4C23×D6114yes—
2170C2×D4C23×D6114yes—
2171C2×D4C23×D6114yes—
2172C2×D4C23×D6112yes—
2173C2×D4C23×D6112yes—
2174C2×D4C23×D6112yes—
2175C2×D4C23×D6114yes—
2176C22×C4—612no—
2177C22×C4—611no—
2178C22×C4—614no—
2179C22×C4—612no—
2180C22×C4—612no—
2181C22×C4—611no—
2182C22×C4—611no—
2183C22×C4—612no—
2184C22×C4—612no—
2185C22×C4—614no—
2186C22×C4—614no—
2187C22×C4—612no—
2188C22×C4—614no—
2189C22×C4—614no—
2190C22×C4—614no—
2191C22×C4—614no—
2192C22×C4—612no—
2193C22×C4—611no—
2194C22×C4—611no—
2195C22×C4—611no—
2196C22×C4—611no—
2197C22×C4—611no—
2198C22×C4—611no—
2199C22×C4—612no—
2200C22×C4—611no—
2201C22×C4—611no—
2202C22×C4—611no—
2203C22×C4—611no—
2204C22×C4—611no—
2205C22×C4—611no—
2206C22×C4—612no—
2207C22×C4—614no—
2208C22×C4—614no—
2209C22×C4—2442no—
2210C22×C4—2442no—
2211C22×C4—2442no—
2212C22×C4—2448no—
2213C22×C4C23×D6111yescharacteristic
2214C22×C4C23×D6111yescharacteristic
2215C22×C4C23×D6112yes—
2216C22×C4C23×D6112yes—
2217C22×C4C23×D6112yes—
2218C22×C4C23×D6111yescharacteristic
2219C22×C4C23×D6114yes—
2220C22×C4C23×D6114yes—
2221C22×C4C23×D6114yes—
2222C4⋊C4—612no—
2223C4⋊C4—612no—
2224C4⋊C4—612no—
2225C4⋊C4—612no—
2226C4⋊C4—612no—
2227C4⋊C4—612no—
2228C4⋊C4—611no—
2229C4⋊C4—611no—
2230C4⋊C4—614no—
2231C4⋊C4—614no—
2232C4⋊C4—614no—
2233C4⋊C4—614no—
2234C4⋊C4—614no—
2235C4⋊C4—614no—
2236C4⋊C4—614no—
2237C4⋊C4—614no—
2238C4⋊C4—614no—
2239C4⋊C4—612no—
2240C4⋊C4—612no—
2241C4⋊C4—612no—
2242C4⋊C4—614no—
2243C4⋊C4—614no—
2244C4⋊C4—614no—
2245C4⋊C4—612no—
2246C4⋊C4—612no—
2247C4⋊C4—612no—
2248C4⋊C4—612no—
2249C4⋊C4—614no—
2250C4⋊C4—614no—
2251C4⋊C4—612no—
2252C4⋊C4—612no—
2253C4⋊C4—612no—
2254C4⋊C4—614no—
2255C4⋊C4—614no—
2256C4⋊C4—614no—
2257C4⋊C4—614no—
2258C4⋊C4—614no—
2259C4⋊C4—612no—
2260C4⋊C4—612no—
2261C4⋊C4—612no—
2262C4⋊C4—612no—
2263C4⋊C4—612no—
2264C4⋊C4—611no—
2265C4⋊C4—612no—
2266C4⋊C4—611no—
2267C4⋊C4—612no—
2268C4⋊C4—612no—
2269C4⋊C4—614no—
2270C4⋊C4—612no—
2271C4⋊C4—614no—
2272C4⋊C4—612no—
2273C4⋊C4—612no—
2274C4⋊C4—612no—
2275C4⋊C4—614no—
2276C4⋊C4—612no—
2277C4⋊C4—612no—
2278C4⋊C4—612no—
2279C4⋊C4C23×D6111yescharacteristic
2280C4⋊C4C23×D6114yes—
2281C4⋊C4C23×D6111yescharacteristic
2282C4⋊C4C23×D6112yes—
2283C4⋊C4C23×D6114yes—
2284C4⋊C4C23×D6111yescharacteristic
2285C4⋊C4C23×D6111yescharacteristic
2286C4⋊C4C23×D6112yes—
2287C4⋊C4C23×D6112yes—
2288C4⋊C4C23×D6112yes—
2289C4⋊C4C23×D6112yes—
2290C4⋊C4C23×D6112yes—
2291C4⋊C4C23×D6112yes—
2292C22⋊C4—612no—
2293C22⋊C4—612no—
2294C22⋊C4—612no—
2295C22⋊C4—612no—
2296C22⋊C4—614no—
2297C22⋊C4—614no—
2298C22⋊C4—614no—
2299C22⋊C4—614no—
2300C22⋊C4—614no—
2301C22⋊C4—614no—
2302C22⋊C4—614no—
2303C22⋊C4—614no—
2304C22⋊C4—612no—
2305C22⋊C4—612no—
2306C22⋊C4—612no—
2307C22⋊C4—612no—
2308C22⋊C4—614no—
2309C22⋊C4—612no—
2310C22⋊C4—614no—
2311C22⋊C4—614no—
2312C22⋊C4—614no—
2313C22⋊C4—612no—
2314C22⋊C4—614no—
2315C22⋊C4—612no—
2316C22⋊C4—614no—
2317C22⋊C4—612no—
2318C22⋊C4—614no—
2319C22⋊C4—612no—
2320C22⋊C4—614no—
2321C22⋊C4—612no—
2322C22⋊C4—612no—
2323C22⋊C4—612no—
2324C22⋊C4—612no—
2325C22⋊C4—612no—
2326C22⋊C4—612no—
2327C22⋊C4—612no—
2328C22⋊C4—614no—
2329C22⋊C4—614no—
2330C22⋊C4—612no—
2331C22⋊C4—612no—
2332C22⋊C4—612no—
2333C22⋊C4—612no—
2334C22⋊C4—614no—
2335C22⋊C4—612no—
2336C22⋊C4—612no—
2337C22⋊C4—612no—
2338C22⋊C4—614no—
2339C22⋊C4C23×D6112yes—
2340C22⋊C4C23×D6112yes—
2341C22⋊C4C23×D6114yes—
2342C22⋊C4C23×D6114yes—
2343C22⋊C4C23×D6112yes—
2344C22⋊C4C23×D6112yes—
2345C22⋊C4C23×D6112yes—
2346C22⋊C4C23×D6112yes—
2347C22⋊C4C23×D6114yes—
2348C22⋊C4C23×D6114yes—
2349C22⋊C4C23×D6114yes—
2350C22⋊C4C23×D6114yes—
2351C22⋊C4C23×D6112yes—
2352C22⋊C4C23×D6112yes—
2353C22⋊C4C23×D6112yes—
2354C22⋊C4C23×D6114yes—
2355C42—611no—
2356C42—611no—
2357C42—611no—
2358C42—611no—
2359C42—612no—
2360C42—612no—
2361C42—612no—
2362C42—614no—
2363C42—611no—
2364C42—612no—
2365C42—611no—
2366C42—611no—
2367C42—611no—
2368C42—611no—
2369C42—611no—
2370C42—611no—
2371C42—611no—
2372C42—614no—
2373C42—612no—
2374C42—612no—
2375C42—614no—
2376C42—614no—
2377C42—612no—
2378C42—612no—
2379C42—612no—
2380C42—612no—
2381C42—612no—
2382C42—614no—
2383C42—614no—
2384C42—614no—
2385C42—614no—
2386C42C23×D6111yescharacteristic
2387C42C23×D6111yescharacteristic
2388C42C23×D6111yescharacteristic
2389C42C23×D6111yescharacteristic
2390C42C23×D6112yes—
2391C42C23×D6114yes—
2392C23—44no—
2393C23—44no—
2394C23—44no—
2395C23—611no—
2396C23—611no—
2397C23—612no—
2398C23—2441no—
2399C23—2441no—
2400C23—2441no—
2401C23C24×D6111yescharacteristic
2402C23C24×D6112yes—
2403C23C24×D6112yes—
2404C23C24×D6114yes—
2405C23C24×D6112yes—
2406Q8—24no—
2407Q8—22no—
2408Q8—42no—
2409Q8—1222no—
2410Q8—1222no—
2411Q8—1224no—
2412Q8—1222no—
2413Q8—2444no—
2414Q8—2444no—
2415Q8—2442no—
2416Q8—2442no—
2417Q8—2442no—
2418Q8—2444no—
2419Q8—2442no—
2420D4—22no—
2421D4—22no—
2422D4—24no—
2423D4—24no—
2424D4—22no—
2425D4—44no—
2426D4—44no—
2427D4—42no—
2428D4—42no—
2429D4—42no—
2430D4—44no—
2431D4—44no—
2432D4—44no—
2433D4—42no—
2434D4—42no—
2435D4—42no—
2436D4—44no—
2437D4—1222no—
2438D4—2442no—
2439D4—2442no—
2440D4—2442no—
2441D4—2442no—
2442D4—2442no—
2443D4—2444no—
2444D4—2444no—
2445D4—2442no—
2446D4—2444no—
2447D4—2442no—
2448D4—2442no—
2449D4—2442no—
2450D4—2444no—
2451D4—2444no—
2452D4—2444no—
2453D4—2442no—
2454D4—2442no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—24no—
2460C2×C4—41no—
2461C2×C4—44no—
2462C2×C4—44no—
2463C2×C4—44no—
2464C2×C4—611no—
2465C2×C4—611no—
2466C2×C4—611no—
2467C2×C4—611no—
2468C2×C4—612no—
2469C2×C4—612no—
2470C2×C4—612no—
2471C2×C4—612no—
2472C2×C4—614no—
2473C2×C4—611no—
2474C2×C4—611no—
2475C2×C4—614no—
2476C2×C4—612no—
2477C2×C4—612no—
2478C2×C4—612no—
2479C2×C4—1222no—
2480C2×C4—1222no—
2481C2×C4—1224no—
2482C2×C4—1224no—
2483C2×C4—1224no—
2484C2×C4—1222no—
2485C2×C4—1228no—
2486C2×C4—1224no—
2487C2×C4—1222no—
2488C2×C4—1222no—
2489C2×C4—1222no—
2490C2×C4—1222no—
2491C2×C4—1224no—
2492C2×C4—2441no—
2493C2×C4—2441no—
2494C2×C4—2441no—
2495C2×C4—2441no—
2496C2×C4—2441no—
2497C2×C4—2441no—
2498C2×C4—2444no—
2499C2×C4—2444no—
2500C2×C4—2442no—
2501C2×C4—2444no—
2502C2×C4—2444no—
2503C2×C4—2444no—
2504C2×C4—2441no—
2505C2×C4—2441no—
2506C2×C4—2444no—
2507C2×C4—2442no—
2508C2×C4—2444no—
2509C2×C4—2442no—
2510C2×C4—2442no—
2511C2×C4—2444no—
2512C2×C4C24×D6111yescharacteristic
2513C2×C4C24×D6112yes—
2514C2×C4C24×D6112yes—
2515C2×C4C24×D6112yes—
2516C2×C4C24×D6114yes—
2517C2×C4C24×D6112yes—
2518C2×C4C24×D6111yescharacteristic
2519C2×C4C24×D6111yescharacteristic
2520C2×C4C24×D6111yescharacteristic
2521C2×C4C24×D6112yes—
2522C2×C4C24×D6111yescharacteristic
2523C2×C4C24×D6111yescharacteristic
2524C22—21no—
2525C22—22no—
2526C22—22no—
2527C22—24no—
2528C22—22no—
2529C22—22no—
2530C22—21no—
2531C22—21no—
2532C22—22no—
2533C22—22no—
2534C22—22no—
2535C22—24no—
2536C22—24no—
2537C22—22no—
2538C22—22no—
2539C22—88no—
2540C22—1221no—
2541C22—1221no—
2542C22—1222no—
2543C22—1222no—
2544C22—1221no—
2545C22—1221no—
2546C22—1221no—
2547C22—1221no—
2548C22—1222no—
2549C22—2444no—
2550C22C25×D6111yescharacteristic
2551C4—21no—
2552C4—21no—
2553C4—22no—
2554C4—21no—
2555C4—22no—
2556C4—22no—
2557C4—22no—
2558C4—21no—
2559C4—22no—
2560C4—24no—
2561C4—612no—
2562C4—1222no—
2563C4—1222no—
2564C4—1221no—
2565C4—1224no—
2566C4—1222no—
2567C4—1221no—
2568C4—1221no—
2569C4—1221no—
2570C4—1221no—
2571C4—1222no—
2572C4—1222no—
2573C4—1224no—
2574C4—1222no—
2575C4—1222no—
2576C4#1684059712yes—
2577C4#1684059712yes—
2578C2—42no—
2579C2—42no—
2580C2—44no—
2581C2—41no—
2582C2—42no—
2583C2—2441no—
2584C2—2441no—
2585C2—2442no—
2586C2#585×D6111yescharacteristic
2587C2C2×#1684059711yescharacteristic
2588C2C2×#1684059711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3546C2
hypercenter#3546D61
hypocenterC61#62762
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #21460486C2semidirect
2. #21460476C2semidirect
3. #21460466C2semidirect
4. #21460454C2semidirect
5. #21460403C2semidirect
6. #21460397C2semidirect
7. #21460309C2semidirect
8. #21460295C2semidirect
9. #21460286C2semidirect
10. #21460284C2semidirect
11. #21460208C2semidirect
12. #21460196C2semidirect
13. #21460187C2semidirect
14. #21460085C2semidirect
15. #21460083C2semidirect
16. #21460072C2semidirect
17. #21460070C2semidirect
18. #21459954C2semidirect
19. #21459442C2semidirect
20. #21459438C2semidirect
21. #21459431C2semidirect
22. #21459420C2semidirect
23. #21459418C2semidirect
24. #21459413C2semidirect
25. #21459370C2semidirect
26. #21459370C2semidirect
27. #21459247C2semidirect
28. #21459245C2semidirect
29. #21459232C2semidirect
30. #21459232C2semidirect
31. #21459201C2semidirect
32. #21459114C2semidirect
33. #21459114C2semidirect
34. #21459113C2semidirect
35. C61×#3546C2semidirect
36. #16840515C22semidirect
37. #16840514C22semidirect
38. #16840514C22semidirect
39. #16840509C22semidirect
40. #16840509C22semidirect
41. #16840507C22semidirect
42. #16840507C22semidirect
43. #16840507C22semidirect
44. #16840507C22semidirect
45. #16840505C22semidirect
47. #16840501C22semidirect
48. #16840500C22semidirect
49. #16840500C22semidirect
50. #16840499C22semidirect
51. #16840498C22semidirect
52. #16840498C22semidirect
53. #16840498C22semidirect
54. #16840496C22semidirect
55. #16840495C22semidirect
56. Q8×Dic122C22semidirect
57. #16840491C22semidirect
58. #16840490C22semidirect
59. #16840489C22semidirect
60. #16840487C22semidirect
61. #16840483C22semidirect
62. #16840482C22semidirect
63. #16840482C22semidirect
64. #16840482C22semidirect
65. #16840481C22semidirect
66. #16840481C22semidirect
67. #16840480C22semidirect
68. #16840480C22semidirect
69. #16840479C22semidirect
70. #16840477C22semidirect
71. #16840477C22semidirect
74. #16840476C22semidirect
75. #16840476C22semidirect
76. #16840471C22semidirect
77. #16840471C22semidirect
78. #16840469C22semidirect
79. #16840469C22semidirect
82. #16840461C22semidirect
83. #16840460C22semidirect
84. #16840459C22semidirect
85. #16840459C22semidirect
86. #16840459C22semidirect
87. #16840459C22semidirect
88. #16840455C22semidirect
89. #16840455C22semidirect
90. #16840455C22semidirect
91. #16840454C22semidirect
92. #16840454C22semidirect
93. #16840453C22semidirect
94. #16840452C22semidirect
95. #16840452C22semidirect
96. #16840449C22semidirect
97. #16840449C22semidirect
98. #16840449C22semidirect
99. #16840448C22semidirect
100. #16840447C22semidirect
101. #16840443C22semidirect
102. #16840443C22semidirect
103. #16840443C22semidirect
104. #16840438C22semidirect
105. #16840438C22semidirect
106. #16840432C22semidirect
107. #16840432C22semidirect
108. #16840431C22semidirect
110. D4×Dic122C22semidirect
111. #16840427C22semidirect
112. #16840421C22semidirect
114. #16840419C22semidirect
115. #16840419C22semidirect
117. #16840418C22semidirect
118. #16840417C22semidirect
119. #16840414C22semidirect
120. #16840411C22semidirect
121. #16840411C22semidirect
122. #16840411C22semidirect
126. #16840406C22semidirect
127. #16840393C22semidirect
128. #16840390C22semidirect
129. #16840390C22semidirect
130. #16840389C22semidirect
132. #16840381C22semidirect
133. #16840381C22semidirect
134. #16840380C22semidirect
135. #16840380C22semidirect
137. #16840379C22semidirect
138. #16840379C22semidirect
139. #16840379C22semidirect
140. #16840379C22semidirect
141. #16840379C22semidirect
142. #16840377C22semidirect
143. #16840376C22semidirect
144. #16840376C22semidirect
145. #16840376C22semidirect
146. #16840374C22semidirect
147. #16840372C22semidirect
148. #16840372C22semidirect
149. #16840372C22semidirect
150. #16840370C22semidirect
151. #16840369C22semidirect
152. #16840369C22semidirect
153. #16840369C22semidirect
154. #16840366C22semidirect
155. #16840366C22semidirect
156. #16840366C22semidirect
157. #16840365C22semidirect
158. #16840365C22semidirect
159. #16840365C22semidirect
160. #16840362C22semidirect
161. #16840362C22semidirect
162. #16840361C22semidirect
163. #16840358C22semidirect
164. #16840357C22semidirect
165. #16840357C22semidirect
166. #16840357C22semidirect
167. #16840355C22semidirect
168. #16840354C22semidirect
169. #16840354C22semidirect
170. #16840350C22semidirect
171. #16840347C22semidirect
172. #16840347C22semidirect
173. #16840347C22semidirect
174. #16840347C22semidirect
175. #16840347C22semidirect
176. #16840347C22semidirect
178. #16840340C22semidirect
179. #16840340C22semidirect
180. #16840335C22semidirect
181. #16840333C22semidirect
182. #16840333C22semidirect
183. #16840332C22semidirect
185. #16840329C22semidirect
186. #16840319C22semidirect
187. #16840319C22semidirect
188. #16840318C22semidirect
189. #16840317C22semidirect
190. #16840317C22semidirect
191. #16840317C22semidirect
192. #16840317C22semidirect
193. #16840316C22semidirect
194. #16840314C22semidirect
195. #16840314C22semidirect
196. #16840314C22semidirect
197. #16840314C22semidirect
203. #16840310C22semidirect
204. #16840310C22semidirect
207. #16840307C22semidirect
208. #16840307C22semidirect
209. #16840307C22semidirect
210. #16840297C22semidirect
211. #16840296C22semidirect
212. #16840295C22semidirect
213. #16840295C22semidirect
214. #16840295C22semidirect
215. #16840295C22semidirect
217. #16840294C22semidirect
218. #16840294C22semidirect
219. #16840294C22semidirect
220. #16840294C22semidirect
222. #16840293C22semidirect
223. #16840293C22semidirect
224. #16840293C22semidirect
225. #16840293C22semidirect
226. #16840293C22semidirect
227. #16840293C22semidirect
228. #16840293C22semidirect
229. #16840293C22semidirect
230. #16840293C22semidirect
231. #16840293C22semidirect
232. #16840293C22semidirect
234. #16840291C22semidirect
235. #16840291C22semidirect
236. #16840291C22semidirect
237. #16840291C22semidirect
238. #16840291C22semidirect
239. #16840291C22semidirect
240. #16840290C22semidirect
241. #16840289C22semidirect
242. #16840289C22semidirect
243. #16840289C22semidirect
244. #16840289C22semidirect
245. #16840275C22semidirect
248. #16840272C22semidirect
249. #16840272C22semidirect
250. #16840272C22semidirect
251. #16840272C22semidirect
252. #16840271C22semidirect
253. #16840270C22semidirect
254. #16840269C22semidirect
255. #16840269C22semidirect
257. #16840268C22semidirect
258. #16840268C22semidirect
259. #16840268C22semidirect
260. #41×Dic61C22semidirect
261. #41×Dic61C22semidirect
262. #41×Dic61C22semidirect
263. #41×Dic61C22semidirect
264. C4×#11758226C22semidirect
265. #16840230C22semidirect
266. #16840230C22semidirect
269. C4×#11758224C22semidirect
270. C4×#11758224C22semidirect
271. C4×#11758224C22semidirect
272. C4×#11758224C22semidirect
273. C4×#11758224C22semidirect
274. C4×#11758224C22semidirect
275. C4×#11758224C22semidirect
276. C2×#14519742C22semidirect
277. C4×Q8×D61C22semidirect
278. C2×D4×Dic61C22semidirect
279. C2×D4×Dic61C22semidirect
280. C2×#14519733C22semidirect
281. C2×C42×D61C22semidirect
283. C61×#556C22semidirect
284. C61×#553C22semidirect
286. C61×#550C22semidirect
287. C61×#547C22semidirect
289. C61×#546C22semidirect
290. D42×C61C22semidirect
291. C61×#542C22semidirect
292. C61×#538C22semidirect
295. C61×#535C22semidirect
1297. #3546D61semidirect
1365. #556C2×D61semidirect
1387. #553C2×D61semidirect
1408. #550C2×D61semidirect
1422. #547C2×D61semidirect
1428. #546C2×D61semidirect
1429. D42C2×D61semidirect
1449. #542C2×D61semidirect
1481. #538C2×D61semidirect
1493. #535C2×D61semidirect
1593. C61#62762semidirect

Maximal subgroups

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

subgroupindex
#214604862
#214604762
#214604662
#214604542
#214604032
#214603972
#214603092
#214602952
#214602862
#214602842
#214602082
#214601962
#214601872
#214600852
#214600832
#214600722
#214600702
#214599542
#214594422
#214594382
#214594312
#214594202
#214594182
#214594132
#214593702
#214592472
#214592452
#214592322
#214592012
#214591142
#214591132
C61×#35462
#6276261