Finite Group Databasebeta

← #30587886

Subgroups — #30587886

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#21460497C214yesmaximal, complemented
2#21460489C214yesmaximal, complemented
3#21460458C212yesmaximal, complemented
4#21460450C212yesmaximal, complemented
5#21460412C212yesmaximal, complemented
6#21460408C212yesmaximal, complemented
7#21460303C211yesmaximal, characteristic, complemented
8#21460295C211yesmaximal, characteristic, complemented
9#21460293C211yesmaximal, characteristic, complemented
10#21460291C211yesmaximal, characteristic, complemented
11#21460204C211yesmaximal, characteristic, complemented
12#21460196C211yesmaximal, characteristic, complemented
13#21460194C211yesmaximal, characteristic, complemented
14#21460192C211yesmaximal, characteristic, complemented
15#21460095C212yesmaximal, complemented
16#21460093C212yesmaximal, complemented
17#21460080C212yesmaximal, complemented
18#21460074C212yesmaximal, complemented
19#21459958C214yesmaximal, complemented
20#21459445C211yesmaximal, characteristic, complemented
21#21459437C211yesmaximal, characteristic, complemented
22#21459429C211yesmaximal, characteristic, complemented
23#21459417C212yesmaximal, complemented
24#21459414C212yesmaximal, complemented
25#21459386C212yesmaximal, complemented
26#21459375C212yesmaximal, complemented
27#21459252C212yesmaximal, complemented
28#21459250C212yesmaximal, complemented
29#21459240C212yesmaximal, complemented
30#21459235C212yesmaximal, complemented
31#21459202C214yesmaximal, complemented
32#21459116C211yesmaximal, characteristic, complemented
33#21459112C211yesmaximal, characteristic, complemented
34#21459112C211yesmaximal, characteristic, complemented
35C61×#3482C211yesmaximal, characteristic, complemented
36#16840516C2214yescomplemented
37#16840514C2214yescomplemented
38#16840514C2214yescomplemented
39#16840510C2214yescomplemented
40#16840509C2214yescomplemented
41#16840509C2214yescomplemented
42#16840508C2214yescomplemented
43#16840508C2214yescomplemented
44#16840506C2214yescomplemented
45#16840504C2214yescomplemented
46#16840503C2214yes—
47#16840503C2214yescomplemented
48#16840502C2214yes—
49#16840502C2214yescomplemented
50#16840500C2214yescomplemented
51#16840500C2214yescomplemented
52#16840497C2214yescomplemented
53#16840497C2211yescharacteristic, complemented
54#16840497C2212yescomplemented
55#16840495C2214yescomplemented
56#16840495C2212yescomplemented
57Q8×Dic122C2211yescharacteristic, complemented
58#16840491C2212yescomplemented
59#16840488C2212yescomplemented
60#16840487C2211yescharacteristic, complemented
61#16840486C2212yescomplemented
62#16840486C2211yescharacteristic, complemented
63#16840485C2214yescomplemented
64#16840485C2212yescomplemented
65#16840483C2212yescomplemented
66#16840481C2212yescomplemented
67#16840480C2214yescomplemented
68#16840480C2212yescomplemented
69#16840478C2212yes—
70#16840477C2212yescomplemented
71#16840477C2211yescharacteristic, complemented
72#16840476C2212yes—
73#16840475C2214yescomplemented
74#16840475C2212yescomplemented
75#16840473C2212yescomplemented
76#16840472C2211yescharacteristic, complemented
77#16840469C2211yescharacteristic, complemented
78#16840468C2212yescomplemented
79#16840465C2214yescomplemented
80#16840462C2214yescomplemented
81#16840462C2212yescomplemented
82#16840460C2214yescomplemented
83#16840460C2214yescomplemented
84#16840460C2212yescomplemented
85#16840460C2212yescomplemented
86#16840458C2212yes—
87#16840457C2214yescomplemented
88#16840456C2212yes—
89#16840456C2214yescomplemented
90#16840456C2212yescomplemented
91#16840454C2212yescomplemented
92#16840454C2212yescomplemented
93#16840450C2214yescomplemented
94#16840450C2212yescomplemented
95#16840448C2214yescomplemented
96#16840446C2212yescomplemented
97#16840446C2212yescomplemented
98#16840444C2214yescomplemented
99#16840440C2214yescomplemented
100#16840439C2214yescomplemented
101#16840439C2214yescomplemented
102#16840437C2214yescomplemented
103#16840436C2214yescomplemented
104#16840434C2212yes—
105#16840434C2211yescharacteristic, complemented
106#16840433C2211yescharacteristic, complemented
107#16840433C2212yescomplemented
108#16840431C2212yes—
109#16840431C2212yescomplemented
110#16840427C2211yescharacteristic, complemented
111#16840424C2212yescomplemented
112#16840423C2212yescomplemented
113#16840423C2212yescomplemented
114#16840422C2212yes—
115#16840419C2212yescomplemented
116#16840415C2212yescomplemented
117#16840415C2211yescharacteristic, complemented
118#16840414C2212yescomplemented
119#16840414C2212yescomplemented
120#16840409C2212yescomplemented
121#16840408C2212yes—
122#16840405C2212yes—
123#16840403C2212yes—
124#16840403C2212yescomplemented
125#16840400C2212yes—
126D4×D244C2211yescharacteristic, complemented
127#16840393C2212yescomplemented
128#16840392C2212yescomplemented
129#16840390C2212yescomplemented
130#16840389C2212yescomplemented
131#16840386C2212yescomplemented
132#16840385C2212yescomplemented
133#16840385C2212yescomplemented
134#16840384C2212yes—
135#16840384C2214yescomplemented
136#16840384C2212yescomplemented
137#16840384C2212yescomplemented
138#16840384C2212yescomplemented
139#16840383C2214yescomplemented
140#16840382C2214yescomplemented
141#16840382C2214yescomplemented
142#16840381C2212yes—
143#16840380C2214yescomplemented
144#16840378C2214yescomplemented
145#16840378C2214yescomplemented
146#16840376C2214yescomplemented
147#16840373C2212yescomplemented
148#16840372C2212yescomplemented
149#16840371C2214yescomplemented
150#16840371C2214yescomplemented
151#16840370C2214yescomplemented
152#16840370C2212yescomplemented
153#16840370C2212yescomplemented
154#16840369C2214yescomplemented
155#16840368C2212yescomplemented
156#16840367C2214yescomplemented
157#16840365C2212yescomplemented
158#16840364C2214yescomplemented
159#16840364C2214yescomplemented
160#16840363C2212yescomplemented
161#16840363C2212yescomplemented
162#16840362C2214yescomplemented
163#16840360C2214yescomplemented
164#16840360C2214yescomplemented
165#16840359C2214yescomplemented
166#16840359C2214yescomplemented
167#16840358C2214yescomplemented
168#16840358C2214yescomplemented
169#16840355C2214yescomplemented
170#16840353C2214yescomplemented
171#16840351C2214yescomplemented
172#16840351C2214yescomplemented
173#16840348C2214yescomplemented
174#16840348C2214yescomplemented
175#16840346C2214yescomplemented
176#16840345C2214yescomplemented
177#16840345C2214yescomplemented
178#16840344C2214yescomplemented
179#16840343C2212yes—
180#16840342C2212yes—
181#16840342C2212yescomplemented
182#16840340C2212yescomplemented
183#16840337C2212yescomplemented
184#16840336C2212yescomplemented
185#16840336C2212yescomplemented
186#16840335C2212yescomplemented
187#16840331C2212yes—
188#16840330C2212yescomplemented
189#16840328C2212yes—
190#16840326C2212yescomplemented
191#16840317C2211yescharacteristic, complemented
192#16840317C2211yescharacteristic, complemented
193#16840316C2214yescomplemented
194#16840316C2211yescharacteristic, complemented
195#16840316C2211yescharacteristic, complemented
196#16840316C2212yescomplemented
197#16840316C2211yescharacteristic, complemented
198#16840316C2211yescharacteristic, complemented
199#16840315C2211yescharacteristic, complemented
200#16840315C2211yescharacteristic, complemented
201#16840313C2211yescharacteristic
202#16840313C2211yescharacteristic
203#16840312C2211yescharacteristic
204#16840312C2214yescomplemented
205#16840312C2212yescomplemented
206#16840309C2211yescharacteristic
207#16840309C2211yescharacteristic
208#16840309C2211yescharacteristic
209#16840309C2211yescharacteristic
210#16840309C2214yescomplemented
211#16840309C2212yescomplemented
212#16840309C2214yescomplemented
213#16840308C2211yescharacteristic
214#16840308C2211yescharacteristic
215#16840299C2211yescharacteristic
216#16840299C2211yescharacteristic
217#16840299C2214yescomplemented
218#16840299C2212yescomplemented
219#16840299C2212yescomplemented
220#16840299C2212yescomplemented
221#16840299C2214yescomplemented
222#16840299C2214yescomplemented
223#16840299C2212yescomplemented
224#16840299C2211yescharacteristic, complemented
225#16840299C2211yescharacteristic, complemented
226#16840298C2212yescomplemented
227#16840298C2212yescomplemented
228#16840297C2212yescomplemented
229#16840297C2212yescomplemented
230#16840296C2214yescomplemented
231#16840296C2212yescomplemented
232#16840296C2214yescomplemented
233#16840294C2211yescharacteristic
234#16840294C2211yescharacteristic
235#16840294C2214yescomplemented
236#16840294C2211yescharacteristic, complemented
237#16840294C2211yescharacteristic, complemented
238#16840292C2212yescomplemented
239#16840292C2212yescomplemented
240#16840292C2212yescomplemented
241#16840292C2212yescomplemented
242#16840290C2214yescomplemented
243#16840290C2214yescomplemented
244#16840290C2212yescomplemented
245#16840290C2212yescomplemented
246#16840290C2212yescomplemented
247#16840290C2212yescomplemented
248#16840290C2214yescomplemented
249#16840275C2212yescomplemented
250#16840275C2212yescomplemented
251#16840274C2211yescharacteristic
252#16840274C2214yescomplemented
253#16840274C2211yescharacteristic, complemented
254#16840274C2212yescomplemented
255#16840271C2214yes—
256#16840271C2214yescomplemented
257#16840271C2214yescomplemented
258#16840271C2212yescomplemented
259#16840271C2212yescomplemented
260#16840271C2212yescomplemented
261#16840271C2212yescomplemented
262#16840269C2211yescharacteristic
263#16840269C2211yescharacteristic, complemented
264C4×#11758226C2212yescomplemented
265C4×#11758226C2212yescomplemented
266C4×#11758226C2212yescomplemented
267C4×#11758226C2212yescomplemented
268C4×#11758222C2211yescharacteristic
269C4×#11758222C2214yescomplemented
270C4×#11758222C2212yescomplemented
271C4×#11758222C2212yescomplemented
272C4×#11758222C2212yescomplemented
273C4×#11758222C2212yescomplemented
274C4×#11758222C2212yescomplemented
275C4×#11758222C2211yescharacteristic, complemented
276#16840230C2212yescomplemented
277C4×Q8×D61C2212yescomplemented
278C2×C4×D244C2212yescomplemented
279C4×D4×D61C2212yescomplemented
280#117×D61C2214yescomplemented
281C2×C42×D61C2211yescharacteristic, complemented
282C61×#557C2211yescharacteristic, complemented
283C61×#556C2211yescharacteristic, complemented
284C61×#556C2212yescomplemented
285C61×#552C2214yescomplemented
286C61×#552C2212yescomplemented
287D4×Q8×C61C2211yescharacteristic, complemented
288C61×#548C2212yes—
289C61×#547C2212yescomplemented
290C61×#547C2211yescharacteristic, complemented
291C61×#533C2212yescomplemented
292C61×#533C2211yescharacteristic, complemented
293C61×#529C2214yescomplemented
294C61×#529C2212yescomplemented
295C4×#41×C61C2211yescharacteristic
296C4×#41×C61C2212yescomplemented
297C4×#41×C61C2211yescharacteristic, complemented
298C2×C4×Q8×C61C2212yescomplemented
299C2×#11758226C2312yes—
300C2×#11758226C2312yes—
301C2×#11758226C2312yes—
302C2×#11758226C2312yes—
303C2×#11758222C2312yes—
304C2×#11758222C2311yescharacteristic
305C2×#11758222C2312yes—
306C2×#11758222C2312yes—
307C2×#11758222C2312yes—
308C2×#11758222C2312yes—
309C2×#11758222C2314yes—
310C2×#11758222C2311yescharacteristic
311C2×#11758222C2312yes—
312C2×Q8×D61C2312yes—
313C22×D244C2312yes—
314C2×D4×D61C2312yes—
315C22×C4×D61C2311yescharacteristic
316C22×C4×D61C2311yescharacteristic
317C22×C4×D61C2311yescharacteristic
318C22×C4×D61C2314yes—
319#14519777C2311yescharacteristic
320#14519777C2312yes—
321#14519777C2314yes—
322#14519776C2312yes—
323#14519776C2312yes—
324#14519776C2314yes—
325#14519776C2314yes—
326#14519776C2311yescharacteristic
327#14519776C2311yescharacteristic
328#14519776C2311yescharacteristic
329#14519776C2311yescharacteristic
330#14519776C2314yes—
331#14519775C2312yes—
332#14519775C2311yescharacteristic
333#14519775C2311yescharacteristic
334#14519775C2314yes—
335#14519774C2314yes—
336#14519774C2311yescharacteristic
337#14519774C2312yes—
338#14519773C2314yes—
339#14519773C2312yes—
340#14519773C2314yes—
341#14519773C2311yescharacteristic
342#14519773C2311yescharacteristic
343#14519772C2312yes—
344#14519772C2314yes—
345#14519772C2314yes—
346#14519772C2314yes—
347#14519772C2314yes—
348#14519772C2314yes—
349#14519772C2312yes—
350#14519772C2314yes—
351#14519772C2314yes—
352#14519772C2314yes—
353#14519772C2314yes—
354#14519772C2314yes—
355#14519772C2312yes—
356#14519772C2312yes—
357#14519772C2314yes—
358#14519772C2314yes—
359#14519772C2314yes—
360#14519771C2314yes—
361#14519771C2314yes—
362#14519771C2314yes—
363#14519771C2314yes—
364#14519771C2314yes—
365#14519770C2312yes—
366#14519770C2314yes—
367#14519770C2312yes—
368#14519770C2314yes—
369#14519770C2314yes—
370#14519770C2314yes—
371#14519770C2312yes—
372#14519770C2312yes—
373#14519770C2314yes—
374#14519769C2312yes—
375#14519769C2314yes—
376#14519769C2314yes—
377#14519768C2314yes—
378#14519768C2314yes—
379#14519768C2314yes—
380#14519768C2311yescharacteristic
381#14519768C2312yes—
382#14519768C2312yes—
383#14519768C2311yescharacteristic
384#14519768C2311yescharacteristic
385#14519768C2314yes—
386#14519768C2311yescharacteristic
387#14519768C2312yes—
388#14519768C2312yes—
389#14519767C2314yes—
390#14519767C2314yes—
391#14519767C2314yes—
392#14519767C2312yes—
393#14519767C2312yes—
394#14519767C2312yes—
395#14519767C2312yes—
396#14519767C2314yes—
397#14519767C2314yes—
398#14519767C2314yes—
399#14519766C2314yes—
400#14519766C2314yes—
401#14519766C2311yescharacteristic
402#14519766C2312yes—
403#14519766C2311yescharacteristic
404#14519766C2312yes—
405#14519766C2314yes—
406#14519766C2312yes—
407#14519766C2312yes—
408#14519765C2314yes—
409#14519765C2312yes—
410#14519765C2314yes—
411#14519765C2314yes—
412#14519765C2312yes—
413#14519765C2314yes—
414#14519765C2314yes—
415#14519764C2314yes—
416#14519764C2311yescharacteristic
417#14519764C2311yescharacteristic
418#14519763C2314yes—
419#14519763C2314yes—
420#14519763C2314yes—
421#14519763C2314yes—
422#14519763C2314yes—
423#14519763C2314yes—
424#14519763C2314yes—
425#14519763C2312yes—
426#14519763C2312yes—
427#14519763C2312yes—
428#14519763C2312yes—
429#14519763C2314yes—
430#14519762C2314yes—
431#14519762C2314yes—
432#14519762C2314yes—
433#14519762C2312yes—
434#14519762C2314yes—
435#14519762C2314yes—
436#14519762C2314yes—
437#14519762C2314yes—
438#14519762C2312yes—
439#14519762C2314yes—
440#14519762C2314yes—
441#14519762C2314yes—
442#14519762C2312yes—
443#14519762C2314yes—
444#14519762C2314yes—
445#14519762C2312yes—
446#14519762C2314yes—
447#14519762C2314yes—
448#14519762C2314yes—
449#14519762C2314yes—
450#14519761C2314yes—
451#14519761C2314yes—
452#14519761C2314yes—
453#14519761C2312yes—
454#14519761C2312yes—
455#14519760C2314yes—
456#14519760C2314yes—
457#14519760C2314yes—
458#14519760C2314yes—
459#14519760C2314yes—
460#14519759C2314yes—
461#14519759C2314yes—
462#14519759C2314yes—
463#14519759C2312yes—
464#14519759C2314yes—
465#14519759C2312yes—
466#14519759C2312yes—
467#14519759C2314yes—
468#14519759C2312yes—
469#14519759C2314yes—
470#14519759C2314yes—
471#14519759C2314yes—
472#14519758C2312yes—
473#14519758C2312yes—
474#14519757C2311yescharacteristic
475#14519757C2314yes—
476#14519757C2314yes—
477#14519757C2312yes—
478#14519757C2314yes—
479#14519757C2311yescharacteristic
480#14519757C2312yes—
481#14519757C2312yes—
482#14519757C2311yescharacteristic
483#14519757C2311yescharacteristic
484#14519757C2314yes—
485#14519756C2312yes—
486#14519756C2314yes—
487#14519756C2314yes—
488#14519755C2314yes—
489#14519755C2314yes—
490#14519755C2314yes—
491#14519755C2312yes—
492#14519755C2314yes—
493#14519755C2312yes—
494#14519755C2312yes—
495#14519755C2312yes—
496#14519755C2314yes—
497#14519755C2314yes—
498#14519755C2314yes—
499#14519755C2314yes—
500#14519755C2314yes—
501#14519754C2314yes—
502#14519754C2314yes—
503#14519754C2312yes—
504#14519754C2312yes—
505#14519754C2312yes—
506#14519754C2312yes—
507#14519754C2314yes—
508#14519753C2311yescharacteristic
509#14519753C2312yes—
510#14519753C2312yes—
511#14519753C2314yes—
512#14519753C2314yes—
513#14519753C2312yes—
514#14519753C2311yescharacteristic
515#14519753C2314yes—
516#14519753C2311yescharacteristic
517#14519753C2311yescharacteristic
518#14519753C2312yes—
519#14519753C2312yes—
520#14519753C2314yes—
521#14519752C2312yes—
522#14519752C2312yes—
523#14519752C2314yes—
524#14519752C2311yescharacteristic
525#14519752C2314yes—
526#14519752C2314yes—
527#14519752C2314yes—
528#14519752C2314yes—
529#14519752C2314yes—
530#14519752C2314yes—
531#14519752C2311yescharacteristic
532#14519752C2312yes—
533#14519752C2312yes—
534#14519752C2312yes—
535#14519752C2311yescharacteristic
536#14519752C2311yescharacteristic
537#14519752C2312yes—
538#14519752C2312yes—
539#14519751C2312yes—
540#14519751C2312yes—
541#14519751C2314yes—
542#14519751C2312yes—
543#14519751C2314yes—
544#14519751C2314yes—
545#14519751C2314yes—
546#14519751C2312yes—
547#14519751C2312yes—
548#14519751C2314yes—
549#14519751C2314yes—
550#14519751C2314yes—
551#14519750C2314yes—
552#14519750C2314yes—
553#14519750C2314yes—
554#14519750C2314yes—
555#14519750C2314yes—
556#14519750C2314yes—
557#14519750C2314yes—
558#14519750C2314yes—
559#14519750C2314yes—
560#14519750C2312yes—
561#14519750C2312yes—
562#14519750C2312yes—
563#14519750C2312yes—
564#14519750C2314yes—
565#14519750C2314yes—
566#14519749C2314yes—
567#14519749C2314yes—
568#14519749C2312yes—
569#14519749C2312yes—
570#14519749C2312yes—
571#14519749C2312yes—
572#14519749C2314yes—
573#14519748C2314yes—
574#14519748C2311yescharacteristic
575#14519748C2312yes—
576#14519748C2314yes—
577#14519748C2311yescharacteristic
578#14519748C2314yes—
579#14519748C2311yescharacteristic
580#14519748C2311yescharacteristic
581#14519747C2314yes—
582#14519747C2314yes—
583#14519747C2314yes—
584#14519747C2314yes—
585#14519747C2312yes—
586#14519747C2314yes—
587#14519747C2312yes—
588#14519747C2314yes—
589#14519745C2312yes—
590#14519745C2312yes—
591#14519745C2314yes—
592#14519745C2314yes—
593#14519745C2314yes—
594Q8×Dic61C2312yes—
595Q8×Dic61C2312yes—
596Q8×Dic61C2312yes—
597Q8×Dic61C2312yes—
598Q8×Dic61C2312yes—
599C4×Dic122C2312yes—
600C4×Dic122C2312yes—
601C4×Dic122C2312yes—
602C4×Dic122C2312yes—
603C4×Dic122C2311yescharacteristic
604C4×Dic122C2312yes—
605C4×Dic122C2314yes—
606C4×Dic122C2311yescharacteristic
607C4×Dic122C2314yes—
608C4×Dic122C2314yes—
609C4×Dic122C2311yescharacteristic
610C4×Dic122C2311yescharacteristic
611C4×Dic122C2312yes—
612C4×Dic122C2312yes—
613C4×Dic122C2312yes—
614C4×Dic122C2312yes—
615#14519742C2314yes—
616#14519742C2312yes—
617#14519742C2312yes—
618#14519742C2312yes—
619C4×D244C2314yes—
620C4×D244C2312yes—
621C4×D244C2312yes—
622C4×D244C2314yes—
623C4×D244C2312yes—
624C4×D244C2312yes—
625C4×D244C2314yes—
626C4×D244C2312yes—
627C4×D244C2312yes—
628C4×D244C2311yescharacteristic
629C4×D244C2312yes—
630C4×D244C2311yescharacteristic
631C4×D244C2311yescharacteristic
632C4×D244C2312yes—
633C4×D244C2314yes—
634C4×D244C2311yescharacteristic
635C4×D244C2312yes—
636C4×D244C2312yes—
637C4×D244C2312yes—
638C4×D244C2312yes—
639C4×D244C2312yes—
640C4×D244C2314yes—
641C4×D244C2314yes—
642C4×D244C2314yes—
643C4×D244C2314yes—
644D4×Dic61C2312yes—
645#14519739C2312yes—
646#14519739C2314yes—
647#14519739C2312yes—
648#14519739C2314yes—
649#14519739C2312yes—
650#14519739C2314yes—
651#14519739C2312yes—
652#14519739C2314yes—
653#14519739C2312yes—
654#14519739C2312yes—
655#14519739C2312yes—
656C4×C22⋊D61C2312yes—
657C4×C22⋊D61C2312yes—
658C4×C22⋊D61C2312yes—
659C4×C22⋊D61C2314yes—
660C4×C22⋊D61C2312yes—
661C4×C22⋊D61C2314yes—
662C4×C22⋊D61C2314yes—
663C4×C22⋊D61C2312yes—
664C4×C22⋊D61C2314yes—
665C4×C22⋊D61C2312yes—
666C4×C22⋊D61C2314yes—
667C4×C22⋊D61C2312yes—
668C4×C22⋊D61C2312yes—
669C4×C22⋊D61C2314yes—
670C4×C22⋊D61C2312yes—
671C4×C22⋊D61C2312yes—
672C4×C22⋊D61C2312yes—
673C4×C22⋊D61C2312yes—
674C4×C22⋊D61C2312yes—
675C4×C22⋊D61C2312yes—
676C4×C22⋊D61C2312yes—
677C4×C22⋊D61C2312yes—
678C4×C22⋊D61C2312yes—
679C4×C22⋊D61C2312yes—
680C4×C22⋊D61C2314yes—
681C4×C22⋊D61C2312yes—
682C4×C22⋊D61C2312yes—
683#14519737C2314yes—
684#14519737C2314yes—
685#14519737C2314yes—
686#14519736C2311yescharacteristic
687#14519736C2312yes—
688#14519736C2312yes—
689#14519736C2311yescharacteristic
690#14519736C2312yes—
691#14519736C2312yes—
692#14519736C2312yes—
693#14519735C2314yes—
694#14519735C2312yes—
695#14519735C2314yes—
696#14519735C2314yes—
697#14519735C2314yes—
698#14519735C2314yes—
699#14519735C2312yes—
700#14519735C2312yes—
701#14519735C2312yes—
702#14519735C2314yes—
703#14519734C2314yes—
704#14519734C2312yes—
705#14519734C2314yes—
706#14519734C2312yes—
707#14519734C2314yes—
708#14519734C2312yes—
709#14519734C2312yes—
710#14519734C2314yes—
711#14519734C2312yes—
712#14519734C2312yes—
713#14519734C2312yes—
714#14519734C2312yes—
715#14519734C2312yes—
716#14519734C2312yes—
717#14519733C2314yes—
718#14519733C2314yes—
719C2×C4⋊Dic61C2312yes—
720C4⋊C4×D61C2314yes—
721C4⋊C4×D61C2312yes—
722C4⋊C4×D61C2314yes—
723C4⋊C4×D61C2312yes—
724C4⋊C4×D61C2314yes—
725C2×#11758198C2314yes—
726C22⋊C4×D61C2314yes—
727C22⋊C4×D61C2314yes—
728C22⋊C4×D61C2314yes—
729C2×C4×Dic61C2311yescharacteristic
730C2×C4×Dic61C2311yescharacteristic
731C2×C4×Dic61C2311yescharacteristic
732C42×D61C2311yescharacteristic
733C42×D61C2311yescharacteristic
734C42×D61C2311yescharacteristic
735C42×D61C2311yescharacteristic
736C42×D61C2311yescharacteristic
737C42×D61C2311yescharacteristic
738C42×D61C2311yescharacteristic
739C42×D61C2311yescharacteristic
740C42×D61C2314yes—
741C42×D61C2314yes—
742C42×D61C2312yes—
743C42×D61C2312yes—
744C42×D61C2314yes—
745C2×#41×C61C2311yescharacteristic
746C2×#41×C61C2312yes—
747C2×#41×C61C2311yescharacteristic
748C22×Q8×C61C2312yes—
749C4⋊Q8×C61C2311yescharacteristic
750C4⋊Q8×C61C2312yes—
751C4⋊Q8×C61C2312yes—
752C4⋊Q8×C61C2311yescharacteristic
753#126×C61C2314yes—
754#126×C61C2314yes—
755#126×C61C2314yes—
756#125×C61C2314yes—
757#125×C61C2312yes—
758#125×C61C2312yes—
759#125×C61C2314yes—
760#124×C61C2312yes—
761#124×C61C2314yes—
762#123×C61C2314yes—
763#123×C61C2314yes—
764#123×C61C2314yes—
765C22⋊Q8×C61C2312yes—
766C22⋊Q8×C61C2312yes—
767C22⋊Q8×C61C2312yes—
768C22⋊Q8×C61C2312yes—
769C22⋊Q8×C61C2314yes—
770C22⋊Q8×C61C2314yes—
771C22⋊Q8×C61C2312yes—
772#121×C61C2312yes—
773#121×C61C2314yes—
774C4×Q8×C61C2312yes—
775C4×Q8×C61C2311yescharacteristic
776C4×Q8×C61C2312yes—
777C4×Q8×C61C2314yes—
778C4×Q8×C61C2312yes—
779C4×Q8×C61C2311yescharacteristic
780C4×Q8×C61C2314yes—
781C4×Q8×C61C2312yes—
782C4×Q8×C61C2312yes—
783C4×Q8×C61C2311yescharacteristic
784C4×Q8×C61C2311yescharacteristic
785C4×D4×C61C2312yes—
786C4×D4×C61C2312yes—
787C4×D4×C61C2314yes—
788C4×D4×C61C2311yescharacteristic
789C4×D4×C61C2311yescharacteristic
790C4×D4×C61C2312yes—
791C4×D4×C61C2311yescharacteristic
792C4×D4×C61C2312yes—
793C4×D4×C61C2314yes—
794C4×D4×C61C2312yes—
795C4×D4×C61C2311yescharacteristic
796#117×C61C2314yes—
797#117×C61C2312yes—
798#117×C61C2311yescharacteristic
799#117×C61C2314yes—
800#117×C61C2312yes—
801#117×C61C2312yes—
802#117×C61C2312yes—
803#117×C61C2311yescharacteristic
804C2×C4⋊C4×C61C2312yes—
805C2×C4⋊C4×C61C2314yes—
806C2×C42×C61C2311yescharacteristic
807C2×C42×C61C2312yes—
808C2×C42×C61C2312yes—
809C2×C42×C61C2314yes—
810C23×D61C2411yescharacteristic
811C23×D61C2414yes—
812#41×C61—42no—
813#41×C61—42no—
814#41×C61—44no—
815C2×Q8×C61—44no—
816C2×Q8×C61C2412yes—
817C2×Q8×C61C2412yes—
818C2×Q8×C61C2411yescharacteristic
819C2×Q8×C61C2411yescharacteristic
820C2×Q8×C61C2414yes—
821C2×D4×C61C2411yescharacteristic
822C2×D4×C61C2411yescharacteristic
823C2×D4×C61C2414yes—
824C2×D4×C61C2412yes—
825C2×D4×C61C2412yes—
826C22×C4×C61C2412yes—
827C22×C4×C61C2411yescharacteristic
828C22×C4×C61C2411yescharacteristic
829C22×C4×C61C2411yescharacteristic
830C22×C4×C61C2412yes—
831C22×C4×C61C2412yes—
832C22×C4×C61C2412yes—
833C22×C4×C61C2412yes—
834C22×C4×C61C2414yes—
835C22×C4×C61C2414yes—
836C22×C4×C61C2412yes—
837C2×C22⋊D61C2414yes—
838C2×C22⋊D61C2414yes—
839C2×C22⋊D61C2412yes—
840C2×C22⋊D61C2412yes—
841C2×C22⋊D61C2412yes—
842C2×C22⋊D61C2412yes—
843C2×C22⋊D61C2412yes—
844C2×C22⋊D61C2412yes—
845C2×C22⋊D61C2412yes—
846C2×C22⋊D61C2414yes—
847C2×C22⋊D61C2414yes—
848C2×C22⋊D61C2412yes—
849C2×C22⋊D61C2412yes—
850C2×C22⋊D61C2412yes—
851C2×C22⋊D61C2414yes—
852C22×Dic61C2411yescharacteristic
853C22×Dic61C2411yescharacteristic
854C22×Dic61C2411yescharacteristic
855C22×Dic61C2414yes—
856#11758226—44no—
857#11758226—44no—
858#11758226—44no—
859#11758226—44no—
860Q8×D61—44no—
861D4×D61—44no—
862#11758222—44no—
863#11758222—42no—
864#11758222—42no—
865#11758222—44no—
866#11758222—44no—
867#11758222—44no—
868#11758222—48no—
869#11758222—44no—
870#11758222—44no—
871C2×D244—44no—
872C2×D244C2412yes—
873C2×D244C2411yescharacteristic
874C2×D244C2412yes—
875C2×D244C2411yescharacteristic
876C2×D244C2414yes—
877C2×D244C2412yes—
878C2×D244C2412yes—
879C2×D244C2412yes—
880C2×D244C2412yes—
881C2×D244C2414yes—
882C2×D244C2412yes—
883C2×D244C2414yes—
884C2×D244C2414yes—
885C2×D244C2414yes—
886C2×D244C2414yes—
887C2×C4×D61—48no—
888C2×C4×D61—42no—
889C2×C4×D61—42no—
890C2×C4×D61—42no—
891C2×C4×D61C2412yes—
892C2×C4×D61C2411yescharacteristic
893C2×C4×D61C2411yescharacteristic
894C2×C4×D61C2414yes—
895C2×C4×D61C2411yescharacteristic
896C2×C4×D61C2411yescharacteristic
897C2×C4×D61C2411yescharacteristic
898C2×C4×D61C2411yescharacteristic
899C2×C4×D61C2412yes—
900C2×C4×D61C2412yes—
901C2×C4×D61C2412yes—
902C2×C4×D61C2411yescharacteristic
903C2×C4×D61C2411yescharacteristic
904C2×C4×D61C2411yescharacteristic
905C2×C4×D61C2411yescharacteristic
906C2×C4×D61C2411yescharacteristic
907C2×C4×D61C2411yescharacteristic
908C2×C4×D61C2414yes—
909C2×C4×D61C2414yes—
910C2×C4×D61C2414yes—
911C2×C4×D61C2412yes—
912C2×C4×D61C2414yes—
913C2×C4×D61C2412yes—
914C2×C4×D61C2414yes—
915C2×C4×D61C2414yes—
916C2×C4×D61C2414yes—
917C2×C4×D61C2414yes—
918C2×Dic122C2411yescharacteristic
919C2×Dic122C2411yescharacteristic
920C2×Dic122C2414yes—
921C2×Dic122C2412yes—
922C2×Dic122C2412yes—
923C2×Dic122C2412yes—
924C2×Dic122C2412yes—
925C2×Dic122C2412yes—
926C2×Dic122C2414yes—
927C4⋊C4×C61C2411yescharacteristic
928C4⋊C4×C61C2412yes—
929C4⋊C4×C61C2412yes—
930C4⋊C4×C61C2414yes—
931C4⋊C4×C61C2414yes—
932C4⋊C4×C61C2414yes—
933C4⋊C4×C61C2414yes—
934C4⋊C4×C61C2411yescharacteristic
935C4⋊C4×C61C2411yescharacteristic
936C4⋊C4×C61C2414yes—
937C4⋊C4×C61C2412yes—
938C4⋊C4×C61C2412yes—
939C4⋊C4×C61C2412yes—
940C4⋊C4×C61C2411yescharacteristic
941C4⋊C4×C61C2412yes—
942C4⋊C4×C61C2414yes—
943C4⋊C4×C61C2414yes—
944C4⋊C4×C61C2412yes—
945C4⋊C4×C61C2414yes—
946C4⋊C4×C61C2412yes—
947C22⋊C4×C61C2412yes—
948C22⋊C4×C61C2414yes—
949C22⋊C4×C61C2412yes—
950C22⋊C4×C61C2412yes—
951C22⋊C4×C61C2412yes—
952C22⋊C4×C61C2412yes—
953C22⋊C4×C61C2414yes—
954C22⋊C4×C61C2412yes—
955C22⋊C4×C61C2414yes—
956C22⋊C4×C61C2414yes—
957C22⋊C4×C61C2414yes—
958C42×C61C2411yescharacteristic
959C42×C61C2411yescharacteristic
960C42×C61C2412yes—
961C42×C61C2411yescharacteristic
962C42×C61C2412yes—
963C42×C61C2414yes—
964C42×C61C2412yes—
965C42×C61C2412yes—
966C42×C61C2414yes—
967C42×C61C2411yescharacteristic
968C42×C61C2412yes—
969C42×C61C2412yes—
970C42×C61C2414yes—
971C22⋊Dic61C2412yes—
972C22⋊Dic61C2412yes—
973C22⋊Dic61C2414yes—
974C22⋊Dic61C2412yes—
975C22⋊Dic61C2412yes—
976C22⋊Dic61C2412yes—
977C22⋊Dic61C2412yes—
978C22⋊Dic61C2412yes—
979C22⋊Dic61C2412yes—
980C22⋊Dic61C2414yes—
981C22⋊Dic61C2412yes—
982C22⋊Dic61C2412yes—
983#11758198C2412yes—
984#11758198C2412yes—
985#11758198C2414yes—
986#11758198C2414yes—
987#11758198C2414yes—
988#11758198C2414yes—
989#11758198C2412yes—
990#11758198C2414yes—
991#11758198C2414yes—
992#11758198C2414yes—
993#11758198C2412yes—
994#11758198C2414yes—
995#11758198C2414yes—
996#11758198C2412yes—
997#11758198C2412yes—
998#11758198C2412yes—
999#11758198C2412yes—
1000#11758198C2412yes—
1001#11758198C2414yes—
1002#11758198C2412yes—
1003#11758198C2412yes—
1004#11758198C2412yes—
1005#11758198C2412yes—
1006#11758198C2412yes—
1007#11758198C2414yes—
1008#11758198C2412yes—
1009#11758198C2414yes—
1010#11758198C2412yes—
1011#11758198C2412yes—
1012#11758198C2412yes—
1013#11758198C2412yes—
1014#11758198C2412yes—
1015#11758198C2414yes—
1016#11758198C2414yes—
1017#11758198C2414yes—
1018#11758198C2414yes—
1019#11758198C2414yes—
1020#11758198C2414yes—
1021#11758198C2414yes—
1022#11758198C2414yes—
1023C4⋊Dic61C2412yes—
1024C4⋊Dic61C2412yes—
1025C4⋊Dic61C2411yescharacteristic
1026C4⋊Dic61C2412yes—
1027C4⋊Dic61C2414yes—
1028C4⋊Dic61C2411yescharacteristic
1029C4⋊Dic61C2412yes—
1030C4⋊Dic61C2414yes—
1031C4⋊Dic61C2411yescharacteristic
1032C4⋊Dic61C2414yes—
1033C4⋊Dic61C2414yes—
1034C4⋊Dic61C2414yes—
1035C4⋊Dic61C2414yes—
1036C4⋊Dic61C2411yescharacteristic
1037C4⋊Dic61C2412yes—
1038C4⋊Dic61C2412yes—
1039C4⋊Dic61C2412yes—
1040C4⋊Dic61C2412yes—
1041C4⋊Dic61C2412yes—
1042C4⋊Dic61C2412yes—
1043#11758196C2412yes—
1044#11758196C2412yes—
1045#11758196C2412yes—
1046#11758196C2414yes—
1047#11758196C2414yes—
1048#11758196C2414yes—
1049#11758196C2414yes—
1050#11758196C2414yes—
1051#11758196C2412yes—
1052#11758196C2414yes—
1053#11758196C2414yes—
1054#11758196C2412yes—
1055#11758196C2412yes—
1056#11758196C2412yes—
1057#11758196C2414yes—
1058#11758196C2412yes—
1059#11758196C2412yes—
1060#11758196C2412yes—
1061#11758196C2412yes—
1062#11758196C2414yes—
1063#11758196C2412yes—
1064#11758196C2412yes—
1065#11758196C2412yes—
1066#11758196C2412yes—
1067#11758196C2412yes—
1068#11758196C2414yes—
1069#11758196C2412yes—
1070#11758196C2412yes—
1071#11758196C2412yes—
1072#11758196C2412yes—
1073C4×Dic61C2411yescharacteristic
1074C4×Dic61C2412yes—
1075C4×Dic61C2412yes—
1076C4×Dic61C2411yescharacteristic
1077C4×Dic61C2411yescharacteristic
1078C4×Dic61C2411yescharacteristic
1079C4×Dic61C2411yescharacteristic
1080C4×Dic61C2411yescharacteristic
1081C4×Dic61C2411yescharacteristic
1082C4×Dic61C2411yescharacteristic
1083C4×Dic61C2411yescharacteristic
1084C4×Dic61C2411yescharacteristic
1085C4×Dic61C2411yescharacteristic
1086C4×Dic61C2411yescharacteristic
1087C4×Dic61C2414yes—
1088C4×Dic61C2414yes—
1089C4×Dic61C2414yes—
1090C4×Dic61C2414yes—
1091C4×Dic61C2412yes—
1092C4×Dic61C2412yes—
1093C4×Dic61C2412yes—
1094C4×Dic61C2412yes—
1095C4×Dic61C2414yes—
1096C4×Dic61C2414yes—
1097C23×C61C2512yes—
1098C23×C61C2512yes—
1099C23×C61C2511yescharacteristic
1100C22×D61—41no—
1101C22×D61—41no—
1102C22×D61—41no—
1103C22×D61—44no—
1104C22×D61—44no—
1105C22×D61—44no—
1106C22×D61C2512yes—
1107C22×D61C2511yescharacteristic
1108C22×D61C2511yescharacteristic
1109C22×D61C2514yes—
1110C22×D61C2512yes—
1111Q8×C61—24no—
1112Q8×C61—24no—
1113Q8×C61—22no—
1114Q8×C61—22no—
1115Q8×C61—44no—
1116D4×C61—22no—
1117D4×C61—22no—
1118D4×C61—44no—
1119D4×C61—42no—
1120D4×C61—42no—
1121C2×C4×C61—24no—
1122C2×C4×C61—22no—
1123C2×C4×C61—22no—
1124C2×C4×C61—22no—
1125C2×C4×C61—24no—
1126C2×C4×C61—24no—
1127C2×C4×C61—24no—
1128C2×C4×C61—44no—
1129C2×C4×C61—44no—
1130C2×C4×C61—42no—
1131C2×C4×C61—42no—
1132C2×C4×C61C2511yescharacteristic
1133C2×C4×C61C2511yescharacteristic
1134C2×C4×C61C2514yes—
1135C2×C4×C61C2512yes—
1136C2×C4×C61C2511yescharacteristic
1137C2×C4×C61C2512yes—
1138C2×C4×C61C2514yes—
1139C2×C4×C61C2512yes—
1140C2×C4×C61C2512yes—
1141C2×C4×C61C2512yes—
1142C2×C4×C61C2512yes—
1143C2×C4×C61C2511yescharacteristic
1144C2×C4×C61C2511yescharacteristic
1145C2×C4×C61C2511yescharacteristic
1146C22⋊D61—42no—
1147C22⋊D61—42no—
1148C22⋊D61—44no—
1149C22⋊D61—42no—
1150C22⋊D61—42no—
1151C22⋊D61—44no—
1152C22⋊D61—42no—
1153C22⋊D61—42no—
1154C22⋊D61—44no—
1155C22⋊D61—42no—
1156C22⋊D61—44no—
1157C22⋊D61—42no—
1158C22⋊D61—42no—
1159C22⋊D61—42no—
1160C22⋊D61—44no—
1161C2×Dic61—41no—
1162C2×Dic61—44no—
1163C2×Dic61—41no—
1164C2×Dic61—41no—
1165C2×Dic61C2511yescharacteristic
1166C2×Dic61C2511yescharacteristic
1167C2×Dic61C2512yes—
1168C2×Dic61C2512yes—
1169C2×Dic61C2512yes—
1170C2×Dic61C2511yescharacteristic
1171C2×Dic61C2511yescharacteristic
1172C2×Dic61C2512yes—
1173C2×Dic61C2512yes—
1174C2×Dic61C2511yescharacteristic
1175C2×Dic61C2511yescharacteristic
1176C2×Dic61C2514yes—
1177C2×Dic61C2512yes—
1178D244—22no—
1179D244—24no—
1180D244—24no—
1181D244—22no—
1182D244—44no—
1183D244—42no—
1184D244—44no—
1185D244—42no—
1186D244—42no—
1187D244—42no—
1188D244—42no—
1189D244—44no—
1190D244—44no—
1191D244—44no—
1192D244—44no—
1193C4×D61—24no—
1194C4×D61—22no—
1195C4×D61—22no—
1196C4×D61—22no—
1197C4×D61—22no—
1198C4×D61—28no—
1199C4×D61—22no—
1200C4×D61—22no—
1201C4×D61—24no—
1202C4×D61—24no—
1203C4×D61—24no—
1204C4×D61—41no—
1205C4×D61—41no—
1206C4×D61—44no—
1207C4×D61—41no—
1208C4×D61—41no—
1209C4×D61—44no—
1210C4×D61—41no—
1211C4×D61—41no—
1212C4×D61—42no—
1213C4×D61—44no—
1214C4×D61—42no—
1215C4×D61—44no—
1216C4×D61—44no—
1217C4×D61—44no—
1218C4×D61—44no—
1219C4×D61—44no—
1220Dic122—22no—
1221Dic122—22no—
1222Dic122—42no—
1223Dic122—44no—
1224Dic122—42no—
1225Dic122—42no—
1226Dic122—42no—
1227Dic122—42no—
1228Dic122—44no—
1229#62762—611nomaximal, Sylow
1230C22×C61—22no—
1231C22×C61—21no—
1232C22×C61—21no—
1233C22×C61—21no—
1234C22×C61—22no—
1235C22×C61—22no—
1236C22×C61—22no—
1237C22×C61—22no—
1238C22×C61—22no—
1239C22×C61C2611yescharacteristic
1240C2×D61—22no—
1241C2×D61—22no—
1242C2×D61—21no—
1243C2×D61—21no—
1244C2×D61—21no—
1245C2×D61—21no—
1246C2×D61—21no—
1247C2×D61—21no—
1248C2×D61—24no—
1249C2×D61—22no—
1250C2×D61—22no—
1251C2×D61—22no—
1252C2×D61—24no—
1253C2×D61—24no—
1254C2×D61—22no—
1255C2×D61—44no—
1256C2×D61—88no—
1257C4×C61—22no—
1258C4×C61—21no—
1259C4×C61—22no—
1260C4×C61—22no—
1261C4×C61—24no—
1262C4×C61—22no—
1263C4×C61—21no—
1264C4×C61—21no—
1265C4×C61—22no—
1266C4×C61—24no—
1267C4×C61—22no—
1268C4×C61#58512yes—
1269C4×C61#58512yes—
1270C4×C61#58512yes—
1271Dic61—22no—
1272Dic61—22no—
1273Dic61—22no—
1274Dic61—22no—
1275Dic61—21no—
1276Dic61—21no—
1277Dic61—24no—
1278Dic61—21no—
1279Dic61—21no—
1280Dic61—22no—
1281Dic61—22no—
1282Dic61—21no—
1283Dic61—21no—
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#3546—611no—
1298#3540—612no—
1299#3540—612no—
1300#3539—612no—
1301#3539—612no—
1302#3529—614no—
1303#3483—611no—
1304#3482—611no—
1305#3482D6111yescharacteristic, complemented
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—42no—
1322C2×C61C2×#58511yescharacteristic
1323C2×C61C2×#58511yescharacteristic
1324C2×C61C2×#58511yescharacteristic
1325D61—42no—
1326D61—41no—
1327D61—41no—
1328D61—44no—
1329D61—42no—
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#560—614no—
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—612no—
1355#557C2×D6111yescharacteristic, complemented
1356#556—612no—
1357#556—611no—
1358#556—612no—
1359#556—612no—
1360#556—612no—
1361#556—614no—
1362#556—612no—
1363#556—614no—
1364#556C2×D6112yescomplemented
1365#556C2×D6111yescharacteristic, complemented
1366#555—612no—
1367#555—612no—
1368#555—612no—
1369#555—611no—
1370#555—612no—
1371#555—614no—
1372#554—612no—
1373#554—612no—
1374#554—611no—
1375#554—611no—
1376#553—614no—
1377#553—614no—
1378#553—612no—
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#553—614no—
1388#552—614no—
1389#552—612no—
1390#552—614no—
1391#552—614no—
1392#552—612no—
1393#552—612no—
1394#552—612no—
1395#552—612no—
1396#552C2×D6112yescomplemented
1397#552C2×D6114yescomplemented
1398#551—614no—
1399#551—614no—
1400#551—614no—
1401#551—614no—
1402#551—614no—
1403#550—612no—
1404#550—612no—
1405#550—612no—
1406#550—611no—
1407#550—612no—
1408#550—611no—
1409D4×Q8—611no—
1410D4×Q8C2×D6111yescharacteristic, complemented
1411#548—612no—
1412#548—612no—
1413#548—612no—
1414#548—612no—
1415#548—612no—
1416#548C2×D6112yes—
1417#547—612no—
1418#547—611no—
1419#547—612no—
1420#547—612no—
1421#547C2×D6112yescomplemented
1422#547C2×D6111yescharacteristic, complemented
1423#546—612no—
1424#546—612no—
1425#546—612no—
1426#546—612no—
1427#546—612no—
1428#546—612no—
1429D42—611no—
1430#544—612no—
1431#544—612no—
1432#544—612no—
1433#544—612no—
1434#542—612no—
1435#542—614no—
1436#542—614no—
1437#542—614no—
1438#542—612no—
1439#542—614no—
1440#542—614no—
1441#542—612no—
1442#542—614no—
1443#542—612no—
1444#542—612no—
1445#542—612no—
1446#542—612no—
1447#542—614no—
1448#542—612no—
1449#542—614no—
1450#541—612no—
1451#541—614no—
1452#541—614no—
1453#541—614no—
1454#541—612no—
1455#541—612no—
1456#541—612no—
1457#541—614no—
1458#540—612no—
1459#540—614no—
1460#540—614no—
1461#540—614no—
1462#540—612no—
1463#540—612no—
1464#540—612no—
1465#540—614no—
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#538—614no—
1482#537—612no—
1483#537—612no—
1484#537—612no—
1485#537—612no—
1486#536—612no—
1487#536—612no—
1488#536—612no—
1489#536—612no—
1490#535—612no—
1491#535—612no—
1492#535—612no—
1493#535—612no—
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—611no—
1503#533—611no—
1504#533C2×D6111yescharacteristic, complemented
1505#533C2×D6112yescomplemented
1506#532—611no—
1507#532—611no—
1508#532—611no—
1509#532—611no—
1510#532—611no—
1511#532—611no—
1512#532—611no—
1513#532—611no—
1514#532—614no—
1515#532—612no—
1516#532—614no—
1517#532—611no—
1518#532—612no—
1519#532—614no—
1520#529—612no—
1521#529—612no—
1522#529—612no—
1523#529—612no—
1524#529—611no—
1525#529—611no—
1526#529—612no—
1527#529—612no—
1528#529—611no—
1529#529—611no—
1530#529—614no—
1531#529—612no—
1532#529—614no—
1533#529—612no—
1534#529—614no—
1535#529—612no—
1536#529—612no—
1537#529—612no—
1538#529—612no—
1539#529—611no—
1540#529—611no—
1541#529—611no—
1542#529—611no—
1543#529—614no—
1544#529—612no—
1545#529—612no—
1546#529—612no—
1547#529—612no—
1548#529—614no—
1549#529—614no—
1550#529—614no—
1551#529—614no—
1552#529—612no—
1553#529—614no—
1554#529C2×D6114yescomplemented
1555#529C2×D6112yescomplemented
1556#525—611no—
1557#525—611no—
1558#525—612no—
1559#525—612no—
1560#525—614no—
1561#525—612no—
1562#525—612no—
1563#525—612no—
1564#525—612no—
1565#525—614no—
1566#525—614no—
1567#525—611no—
1568#525—612no—
1569#525—611no—
1570#525—614no—
1571C4×#41—612no—
1572C4×#41—612no—
1573C4×#41—612no—
1574C4×#41—612no—
1575C4×#41—612no—
1576C4×#41—611no—
1577C4×#41—612no—
1578C4×#41—612no—
1579C4×#41—612no—
1580C4×#41—612no—
1581C4×#41—611no—
1582C4×#41—614no—
1583C4×#41—612no—
1584C4×#41C2×D6111yescharacteristic
1585C4×#41C2×D6111yescharacteristic, complemented
1586C4×#41C2×D6112yescomplemented
1587C2×C4×Q8—612no—
1588C2×C4×Q8C2×D6112yescomplemented
1589C2×C4×D4—612no—
1590C2×C4×D4—612no—
1591C2×#117—614no—
1592C22×C42—611no—
1593C61#6276211yescharacteristic, complemented, Sylow
1594C2×#41—612no—
1595C2×#41—612no—
1596C2×#41—612no—
1597C2×#41—612no—
1598C2×#41—612no—
1599C2×#41—612no—
1600C2×#41—612no—
1601C2×#41—614no—
1602C2×#41—612no—
1603C2×#41—612no—
1604C2×#41—611no—
1605C2×#41—611no—
1606C2×#41—612no—
1607C2×#41C22×D6111yescharacteristic
1608C2×#41C22×D6111yescharacteristic
1609C2×#41C22×D6112yes—
1610C22×Q8—612no—
1611C22×Q8C22×D6112yes—
1612C22×D4—612no—
1613C22×D4—612no—
1614C23×C4—614no—
1615C23×C4—611no—
1616C23×C4—611no—
1617C23×C4—611no—
1618C4⋊Q8—611no—
1619C4⋊Q8—611no—
1620C4⋊Q8—614no—
1621C4⋊Q8—612no—
1622C4⋊Q8—611no—
1623C4⋊Q8—611no—
1624C4⋊Q8—611no—
1625C4⋊Q8—611no—
1626C4⋊Q8—614no—
1627C4⋊Q8—612no—
1628C4⋊Q8—614no—
1629C4⋊Q8—614no—
1630C4⋊Q8—612no—
1631C4⋊Q8—611no—
1632C4⋊Q8—612no—
1633C4⋊Q8—614no—
1634C4⋊Q8C22×D6111yescharacteristic
1635C4⋊Q8C22×D6111yescharacteristic
1636C4⋊Q8C22×D6112yes—
1637C4⋊Q8C22×D6112yes—
1638#127—611no—
1639#127—611no—
1640#127—612no—
1641#127—614no—
1642#127—614no—
1643#127—611no—
1644#127—612no—
1645#127—614no—
1646#126—612no—
1647#126—614no—
1648#126—614no—
1649#126—612no—
1650#126—612no—
1651#126—612no—
1652#126—614no—
1653#126—614no—
1654#126—614no—
1655#126—614no—
1656#126—614no—
1657#126—614no—
1658#126—614no—
1659#126—614no—
1660#126—614no—
1661#126—614no—
1662#126—614no—
1663#126—612no—
1664#126—612no—
1665#126—612no—
1666#126—612no—
1667#126—614no—
1668#126—614no—
1669#126—614no—
1670#126—614no—
1671#126—614no—
1672#126—614no—
1673#126—614no—
1674#126—614no—
1675#126—614no—
1676#126—614no—
1677#126C22×D6114yes—
1678#126C22×D6114yes—
1679#126C22×D6114yes—
1680#125—612no—
1681#125—612no—
1682#125—612no—
1683#125—612no—
1684#125—612no—
1685#125—612no—
1686#125—611no—
1687#125—611no—
1688#125—611no—
1689#125—611no—
1690#125—614no—
1691#125—614no—
1692#125—614no—
1693#125—614no—
1694#125—612no—
1695#125—614no—
1696#125—614no—
1697#125—614no—
1698#125—612no—
1699#125—614no—
1700#125—614no—
1701#125—614no—
1702#125—614no—
1703#125—614no—
1704#125—612no—
1705#125C22×D6112yes—
1706#125C22×D6114yes—
1707#125C22×D6112yes—
1708#125C22×D6114yes—
1709#124—612no—
1710#124—612no—
1711#124—611no—
1712#124—611no—
1713#124—612no—
1714#124—612no—
1715#124—614no—
1716#124—614no—
1717#124—614no—
1718#124—611no—
1719#124—611no—
1720#124—614no—
1721#124—612no—
1722#124—612no—
1723#124—612no—
1724#124—612no—
1725#124—614no—
1726#124—614no—
1727#124—614no—
1728#124—614no—
1729#124—614no—
1730#124—614no—
1731#124—614no—
1732#124—614no—
1733#124—612no—
1734#124—614no—
1735#124—612no—
1736#124—614no—
1737#124—614no—
1738#124—614no—
1739#124—614no—
1740#124C22×D6112yes—
1741#124C22×D6114yes—
1742#123—612no—
1743#123—612no—
1744#123—614no—
1745#123—614no—
1746#123—614no—
1747#123—614no—
1748#123—614no—
1749#123—614no—
1750#123—614no—
1751#123—612no—
1752#123—612no—
1753#123—612no—
1754#123—612no—
1755#123—614no—
1756#123—614no—
1757#123—614no—
1758#123—614no—
1759#123—614no—
1760#123—614no—
1761#123—614no—
1762#123—614no—
1763#123—614no—
1764#123—614no—
1765#123—614no—
1766#123—614no—
1767#123—614no—
1768#123—614no—
1769#123—612no—
1770#123—612no—
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#123—614no—
1786#123C22×D6114yes—
1787#123C22×D6114yes—
1788#123C22×D6114yes—
1789C22⋊Q8—611no—
1790C22⋊Q8—612no—
1791C22⋊Q8—612no—
1792C22⋊Q8—611no—
1793C22⋊Q8—611no—
1794C22⋊Q8—611no—
1795C22⋊Q8—612no—
1796C22⋊Q8—614no—
1797C22⋊Q8—612no—
1798C22⋊Q8—614no—
1799C22⋊Q8—614no—
1800C22⋊Q8—614no—
1801C22⋊Q8—612no—
1802C22⋊Q8—612no—
1803C22⋊Q8—614no—
1804C22⋊Q8—614no—
1805C22⋊Q8—611no—
1806C22⋊Q8—611no—
1807C22⋊Q8—612no—
1808C22⋊Q8—612no—
1809C22⋊Q8—611no—
1810C22⋊Q8—611no—
1811C22⋊Q8—612no—
1812C22⋊Q8—612no—
1813C22⋊Q8—612no—
1814C22⋊Q8—612no—
1815C22⋊Q8—614no—
1816C22⋊Q8—614no—
1817C22⋊Q8—614no—
1818C22⋊Q8—614no—
1819C22⋊Q8—614no—
1820C22⋊Q8—614no—
1821C22⋊Q8—614no—
1822C22⋊Q8—614no—
1823C22⋊Q8—614no—
1824C22⋊Q8—614no—
1825C22⋊Q8—614no—
1826C22⋊Q8—614no—
1827C22⋊Q8—612no—
1828C22⋊Q8—614no—
1829C22⋊Q8—612no—
1830C22⋊Q8—612no—
1831C22⋊Q8—612no—
1832C22⋊Q8—612no—
1833C22⋊Q8—614no—
1834C22⋊Q8—614no—
1835C22⋊Q8—614no—
1836C22⋊Q8C22×D6112yes—
1837C22⋊Q8C22×D6112yes—
1838C22⋊Q8C22×D6112yes—
1839C22⋊Q8C22×D6114yes—
1840C22⋊Q8C22×D6112yes—
1841C22⋊Q8C22×D6112yes—
1842C22⋊Q8C22×D6114yes—
1843#121—611no—
1844#121—611no—
1845#121—612no—
1846#121—612no—
1847#121—611no—
1848#121—611no—
1849#121—612no—
1850#121—612no—
1851#121—614no—
1852#121—614no—
1853#121—614no—
1854#121—614no—
1855#121—612no—
1856#121—614no—
1857#121—614no—
1858#121—612no—
1859#121—612no—
1860#121—614no—
1861#121—614no—
1862#121—612no—
1863#121—612no—
1864#121—614no—
1865#121—612no—
1866#121—614no—
1867#121—614no—
1868#121—614no—
1869#121—614no—
1870#121—611no—
1871#121—612no—
1872#121—612no—
1873#121—611no—
1874#121—611no—
1875#121—611no—
1876#121—612no—
1877#121—612no—
1878#121—614no—
1879#121—614no—
1880#121—612no—
1881#121—614no—
1882#121—612no—
1883#121—614no—
1884#121—614no—
1885#121—612no—
1886#121—614no—
1887#121—614no—
1888#121—612no—
1889#121—612no—
1890#121—612no—
1891#121—612no—
1892#121—614no—
1893#121—614no—
1894#121—614no—
1895#121—614no—
1896#121—614no—
1897#121—614no—
1898#121—614no—
1899#121—614no—
1900#121—614no—
1901#121—614no—
1902#121—614no—
1903#121C22×D6112yes—
1904#121C22×D6114yes—
1905#120—612no—
1906#120—612no—
1907#120—614no—
1908#120—614no—
1909#120—614no—
1910#120—612no—
1911#120—614no—
1912#120—612no—
1913#120—614no—
1914#120—614no—
1915#120—614no—
1916#120—614no—
1917#120—614no—
1918C4×Q8—612no—
1919C4×Q8—612no—
1920C4×Q8—612no—
1921C4×Q8—612no—
1922C4×Q8—612no—
1923C4×Q8—612no—
1924C4×Q8—614no—
1925C4×Q8—612no—
1926C4×Q8—612no—
1927C4×Q8—611no—
1928C4×Q8—614no—
1929C4×Q8—611no—
1930C4×Q8—612no—
1931C4×Q8—612no—
1932C4×Q8—612no—
1933C4×Q8—612no—
1934C4×Q8—611no—
1935C4×Q8—611no—
1936C4×Q8—612no—
1937C4×Q8—612no—
1938C4×Q8—612no—
1939C4×Q8—612no—
1940C4×Q8—612no—
1941C4×Q8—614no—
1942C4×Q8—614no—
1943C4×Q8C22×D6112yes—
1944C4×Q8C22×D6111yescharacteristic
1945C4×Q8C22×D6112yes—
1946C4×Q8C22×D6114yes—
1947C4×Q8C22×D6112yes—
1948C4×Q8C22×D6112yes—
1949C4×Q8C22×D6114yes—
1950C4×Q8C22×D6111yescharacteristic
1951C4×Q8C22×D6111yescharacteristic
1952C4×Q8C22×D6111yescharacteristic
1953C4×Q8C22×D6112yes—
1954C4×D4—612no—
1955C4×D4—614no—
1956C4×D4—612no—
1957C4×D4—612no—
1958C4×D4—612no—
1959C4×D4—612no—
1960C4×D4—612no—
1961C4×D4—612no—
1962C4×D4—614no—
1963C4×D4—612no—
1964C4×D4—612no—
1965C4×D4—612no—
1966C4×D4—612no—
1967C4×D4—612no—
1968C4×D4—612no—
1969C4×D4—612no—
1970C4×D4—612no—
1971C4×D4—612no—
1972C4×D4—612no—
1973C4×D4—612no—
1974C4×D4—612no—
1975C4×D4—612no—
1976C4×D4—612no—
1977C4×D4—614no—
1978C4×D4—614no—
1979C4×D4—614no—
1980C4×D4—614no—
1981C4×D4—614no—
1982C4×D4—612no—
1983C4×D4—614no—
1984C4×D4—614no—
1985C4×D4—612no—
1986C4×D4—612no—
1987C4×D4—612no—
1988C4×D4—612no—
1989C4×D4—614no—
1990C4×D4—614no—
1991C4×D4—612no—
1992C4×D4—612no—
1993C4×D4—614no—
1994C4×D4—614no—
1995C4×D4—614no—
1996C4×D4—611no—
1997C4×D4—612no—
1998C4×D4—612no—
1999C4×D4—614no—
2000C4×D4—612no—
2001C4×D4—612no—
2002C4×D4—614no—
2003C4×D4—611no—
2004C4×D4—612no—
2005C4×D4—614no—
2006C4×D4—614no—
2007C4×D4—614no—
2008C4×D4—614no—
2009C4×D4—612no—
2010C4×D4—612no—
2011C4×D4—612no—
2012C4×D4—612no—
2013C4×D4—612no—
2014C4×D4—612no—
2015C4×D4—612no—
2016C4×D4—611no—
2017C4×D4—611no—
2018C4×D4—614no—
2019C4×D4—614no—
2020C4×D4—612no—
2021C4×D4C22×D6111yescharacteristic
2022C4×D4C22×D6112yes—
2023C4×D4C22×D6112yes—
2024C4×D4C22×D6111yescharacteristic
2025C4×D4C22×D6111yescharacteristic
2026C4×D4C22×D6114yes—
2027C4×D4C22×D6112yes—
2028C4×D4C22×D6112yes—
2029C4×D4C22×D6111yescharacteristic
2030C4×D4C22×D6114yes—
2031C4×D4C22×D6112yes—
2032#117—612no—
2033#117—612no—
2034#117—611no—
2035#117—611no—
2036#117—612no—
2037#117—612no—
2038#117—612no—
2039#117—614no—
2040#117—614no—
2041#117—612no—
2042#117—612no—
2043#117—614no—
2044#117—614no—
2045#117—612no—
2046#117—612no—
2047#117—614no—
2048#117—614no—
2049#117—614no—
2050#117—614no—
2051#117—612no—
2052#117—614no—
2053#117—612no—
2054#117—612no—
2055#117—614no—
2056#117—612no—
2057#117—614no—
2058#117—612no—
2059#117—612no—
2060#117—612no—
2061#117—612no—
2062#117—612no—
2063#117—612no—
2064#117—614no—
2065#117C22×D6114yes—
2066#117C22×D6112yes—
2067#117C22×D6111yescharacteristic
2068#117C22×D6112yes—
2069#117C22×D6111yescharacteristic
2070#117C22×D6112yes—
2071#117C22×D6112yes—
2072#117C22×D6114yes—
2073C2×C4⋊C4—612no—
2074C2×C4⋊C4—614no—
2075C2×C4⋊C4—614no—
2076C2×C4⋊C4—612no—
2077C2×C4⋊C4—612no—
2078C2×C4⋊C4—614no—
2079C2×C4⋊C4C22×D6112yes—
2080C2×C4⋊C4C22×D6114yes—
2081C2×C22⋊C4—614no—
2082C2×C22⋊C4—614no—
2083C2×C22⋊C4—614no—
2084C2×C22⋊C4—614no—
2085C2×C42—611no—
2086C2×C42—611no—
2087C2×C42—611no—
2088C2×C42—614no—
2089C2×C42—614no—
2090C2×C42—612no—
2091C2×C42—612no—
2092C2×C42—614no—
2093C2×C42—611no—
2094C2×C42—611no—
2095C2×C42—611no—
2096C2×C42—611no—
2097C2×C42—611no—
2098C2×C42—611no—
2099C2×C42—611no—
2100C2×C42—611no—
2101C2×C42C22×D6112yes—
2102C2×C42C22×D6112yes—
2103C2×C42C22×D6114yes—
2104C2×C42C22×D6111yescharacteristic
2105C24—614no—
2106C24—611no—
2107#41—42no—
2108#41—42no—
2109#41—44no—
2110#41—2444no—
2111#41—2444no—
2112#41—2444no—
2113#41—2444no—
2114#41—2444no—
2115#41—2448no—
2116#41—2442no—
2117#41—2442no—
2118#41—2444no—
2119#41—2444no—
2120#41—2444no—
2121#41—2444no—
2122#41—2444no—
2123C2×Q8—44no—
2124C2×Q8—611no—
2125C2×Q8—611no—
2126C2×Q8—614no—
2127C2×Q8—612no—
2128C2×Q8—612no—
2129C2×Q8—612no—
2130C2×Q8—612no—
2131C2×Q8—612no—
2132C2×Q8—614no—
2133C2×Q8—2444no—
2134C2×Q8C23×D6112yes—
2135C2×Q8C23×D6112yes—
2136C2×Q8C23×D6111yescharacteristic
2137C2×Q8C23×D6111yescharacteristic
2138C2×Q8C23×D6114yes—
2139C2×D4—612no—
2140C2×D4—612no—
2141C2×D4—612no—
2142C2×D4—612no—
2143C2×D4—612no—
2144C2×D4—614no—
2145C2×D4—612no—
2146C2×D4—612no—
2147C2×D4—612no—
2148C2×D4—614no—
2149C2×D4—612no—
2150C2×D4—614no—
2151C2×D4—612no—
2152C2×D4—614no—
2153C2×D4—614no—
2154C2×D4—611no—
2155C2×D4—612no—
2156C2×D4—612no—
2157C2×D4—611no—
2158C2×D4—612no—
2159C2×D4—612no—
2160C2×D4—614no—
2161C2×D4—614no—
2162C2×D4—614no—
2163C2×D4—612no—
2164C2×D4—612no—
2165C2×D4—614no—
2166C2×D4—614no—
2167C2×D4—612no—
2168C2×D4—614no—
2169C2×D4—2444no—
2170C2×D4—2444no—
2171C2×D4C23×D6111yescharacteristic
2172C2×D4C23×D6111yescharacteristic
2173C2×D4C23×D6112yes—
2174C2×D4C23×D6114yes—
2175C2×D4C23×D6112yes—
2176C22×C4—611no—
2177C22×C4—611no—
2178C22×C4—611no—
2179C22×C4—614no—
2180C22×C4—611no—
2181C22×C4—611no—
2182C22×C4—611no—
2183C22×C4—611no—
2184C22×C4—612no—
2185C22×C4—612no—
2186C22×C4—612no—
2187C22×C4—614no—
2188C22×C4—611no—
2189C22×C4—611no—
2190C22×C4—612no—
2191C22×C4—611no—
2192C22×C4—611no—
2193C22×C4—611no—
2194C22×C4—611no—
2195C22×C4—611no—
2196C22×C4—611no—
2197C22×C4—612no—
2198C22×C4—614no—
2199C22×C4—614no—
2200C22×C4—614no—
2201C22×C4—614no—
2202C22×C4—612no—
2203C22×C4—614no—
2204C22×C4—614no—
2205C22×C4—614no—
2206C22×C4—614no—
2207C22×C4—2442no—
2208C22×C4—2442no—
2209C22×C4—2448no—
2210C22×C4—2442no—
2211C22×C4C23×D6111yescharacteristic
2212C22×C4C23×D6111yescharacteristic
2213C22×C4C23×D6112yes—
2214C22×C4C23×D6112yes—
2215C22×C4C23×D6111yescharacteristic
2216C22×C4C23×D6112yes—
2217C22×C4C23×D6112yes—
2218C22×C4C23×D6112yes—
2219C22×C4C23×D6112yes—
2220C22×C4C23×D6114yes—
2221C22×C4C23×D6114yes—
2222C4⋊C4—612no—
2223C4⋊C4—612no—
2224C4⋊C4—612no—
2225C4⋊C4—612no—
2226C4⋊C4—612no—
2227C4⋊C4—611no—
2228C4⋊C4—611no—
2229C4⋊C4—614no—
2230C4⋊C4—614no—
2231C4⋊C4—614no—
2232C4⋊C4—614no—
2233C4⋊C4—614no—
2234C4⋊C4—612no—
2235C4⋊C4—612no—
2236C4⋊C4—614no—
2237C4⋊C4—614no—
2238C4⋊C4—612no—
2239C4⋊C4—612no—
2240C4⋊C4—612no—
2241C4⋊C4—612no—
2242C4⋊C4—612no—
2243C4⋊C4—612no—
2244C4⋊C4—614no—
2245C4⋊C4—612no—
2246C4⋊C4—612no—
2247C4⋊C4—612no—
2248C4⋊C4—612no—
2249C4⋊C4—614no—
2250C4⋊C4—614no—
2251C4⋊C4—614no—
2252C4⋊C4—612no—
2253C4⋊C4—612no—
2254C4⋊C4—612no—
2255C4⋊C4—614no—
2256C4⋊C4—612no—
2257C4⋊C4—612no—
2258C4⋊C4—612no—
2259C4⋊C4—612no—
2260C4⋊C4—611no—
2261C4⋊C4—611no—
2262C4⋊C4—612no—
2263C4⋊C4—612no—
2264C4⋊C4—612no—
2265C4⋊C4—614no—
2266C4⋊C4—612no—
2267C4⋊C4—614no—
2268C4⋊C4—614no—
2269C4⋊C4—614no—
2270C4⋊C4—612no—
2271C4⋊C4—612no—
2272C4⋊C4C23×D6111yescharacteristic
2273C4⋊C4C23×D6112yes—
2274C4⋊C4C23×D6114yes—
2275C4⋊C4C23×D6114yes—
2276C4⋊C4C23×D6114yes—
2277C4⋊C4C23×D6111yescharacteristic
2278C4⋊C4C23×D6112yes—
2279C4⋊C4C23×D6112yes—
2280C4⋊C4C23×D6114yes—
2281C4⋊C4C23×D6114yes—
2282C4⋊C4C23×D6114yes—
2283C4⋊C4C23×D6114yes—
2284C4⋊C4C23×D6111yescharacteristic
2285C4⋊C4C23×D6112yes—
2286C4⋊C4C23×D6111yescharacteristic
2287C4⋊C4C23×D6112yes—
2288C4⋊C4C23×D6112yes—
2289C4⋊C4C23×D6112yes—
2290C4⋊C4C23×D6114yes—
2291C4⋊C4C23×D6112yes—
2292C22⋊C4—612no—
2293C22⋊C4—612no—
2294C22⋊C4—614no—
2295C22⋊C4—612no—
2296C22⋊C4—612no—
2297C22⋊C4—612no—
2298C22⋊C4—612no—
2299C22⋊C4—612no—
2300C22⋊C4—612no—
2301C22⋊C4—612no—
2302C22⋊C4—612no—
2303C22⋊C4—614no—
2304C22⋊C4—612no—
2305C22⋊C4—612no—
2306C22⋊C4—612no—
2307C22⋊C4—614no—
2308C22⋊C4—614no—
2309C22⋊C4—614no—
2310C22⋊C4—614no—
2311C22⋊C4—614no—
2312C22⋊C4—614no—
2313C22⋊C4—614no—
2314C22⋊C4—612no—
2315C22⋊C4—612no—
2316C22⋊C4—612no—
2317C22⋊C4—612no—
2318C22⋊C4—612no—
2319C22⋊C4—614no—
2320C22⋊C4—612no—
2321C22⋊C4—612no—
2322C22⋊C4—612no—
2323C22⋊C4—614no—
2324C22⋊C4—612no—
2325C22⋊C4—612no—
2326C22⋊C4—614no—
2327C22⋊C4—614no—
2328C22⋊C4—614no—
2329C22⋊C4—614no—
2330C22⋊C4—614no—
2331C22⋊C4—614no—
2332C22⋊C4—614no—
2333C22⋊C4—612no—
2334C22⋊C4—612no—
2335C22⋊C4—614no—
2336C22⋊C4—612no—
2337C22⋊C4—612no—
2338C22⋊C4—614no—
2339C22⋊C4—612no—
2340C22⋊C4—614no—
2341C22⋊C4—612no—
2342C22⋊C4—614no—
2343C22⋊C4—612no—
2344C22⋊C4C23×D6112yes—
2345C22⋊C4C23×D6114yes—
2346C22⋊C4C23×D6114yes—
2347C22⋊C4C23×D6112yes—
2348C22⋊C4C23×D6114yes—
2349C22⋊C4C23×D6112yes—
2350C22⋊C4C23×D6114yes—
2351C22⋊C4C23×D6112yes—
2352C22⋊C4C23×D6112yes—
2353C22⋊C4C23×D6114yes—
2354C22⋊C4C23×D6112yes—
2355C42—611no—
2356C42—611no—
2357C42—611no—
2358C42—611no—
2359C42—611no—
2360C42—611no—
2361C42—611no—
2362C42—611no—
2363C42—611no—
2364C42—611no—
2365C42—614no—
2366C42—612no—
2367C42—614no—
2368C42—614no—
2369C42—612no—
2370C42—612no—
2371C42—612no—
2372C42—614no—
2373C42—614no—
2374C42—614no—
2375C42—611no—
2376C42—612no—
2377C42—612no—
2378C42—611no—
2379C42C23×D6111yescharacteristic
2380C42C23×D6111yescharacteristic
2381C42C23×D6112yes—
2382C42C23×D6112yes—
2383C42C23×D6112yes—
2384C42C23×D6112yes—
2385C42C23×D6114yes—
2386C42C23×D6114yes—
2387C42C23×D6111yescharacteristic
2388C42C23×D6111yescharacteristic
2389C42C23×D6112yes—
2390C42C23×D6114yes—
2391C42C23×D6112yes—
2392C23—612no—
2393C23—611no—
2394C23—611no—
2395C23—614no—
2396C23—612no—
2397C23—2444no—
2398C23—2444no—
2399C23—2444no—
2400C23—2441no—
2401C23—2441no—
2402C23—2441no—
2403C23C24×D6112yes—
2404C23C24×D6112yes—
2405C23C24×D6111yescharacteristic
2406Q8—22no—
2407Q8—24no—
2408Q8—24no—
2409Q8—22no—
2410Q8—44no—
2411Q8—1222no—
2412Q8—1222no—
2413Q8—2444no—
2414Q8—2442no—
2415Q8—2442no—
2416Q8—2442no—
2417Q8—2442no—
2418Q8—2442no—
2419Q8—2444no—
2420D4—22no—
2421D4—22no—
2422D4—42no—
2423D4—42no—
2424D4—44no—
2425D4—1222no—
2426D4—1224no—
2427D4—1224no—
2428D4—1222no—
2429D4—2444no—
2430D4—2442no—
2431D4—2442no—
2432D4—2444no—
2433D4—2444no—
2434D4—2444no—
2435D4—2444no—
2436D4—2442no—
2437D4—2442no—
2438D4—2442no—
2439D4—2444no—
2440D4—2444no—
2441D4—2442no—
2442D4—2442no—
2443D4—2442no—
2444D4—2442no—
2445D4—2444no—
2446D4—2442no—
2447D4—2442no—
2448D4—2442no—
2449D4—2442no—
2450D4—2444no—
2451D4—2442no—
2452D4—2444no—
2453D4—2442no—
2454D4—2444no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—24no—
2460C2×C4—22no—
2461C2×C4—24no—
2462C2×C4—44no—
2463C2×C4—42no—
2464C2×C4—42no—
2465C2×C4—44no—
2466C2×C4—611no—
2467C2×C4—611no—
2468C2×C4—612no—
2469C2×C4—612no—
2470C2×C4—612no—
2471C2×C4—611no—
2472C2×C4—611no—
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—1222no—
2482C2×C4—1222no—
2483C2×C4—1224no—
2484C2×C4—1224no—
2485C2×C4—1224no—
2486C2×C4—1228no—
2487C2×C4—1222no—
2488C2×C4—1222no—
2489C2×C4—1224no—
2490C2×C4—2441no—
2491C2×C4—2441no—
2492C2×C4—2441no—
2493C2×C4—2441no—
2494C2×C4—2444no—
2495C2×C4—2444no—
2496C2×C4—2441no—
2497C2×C4—2441no—
2498C2×C4—2444no—
2499C2×C4—2442no—
2500C2×C4—2442no—
2501C2×C4—2444no—
2502C2×C4—2444no—
2503C2×C4—2444no—
2504C2×C4—2444no—
2505C2×C4—2444no—
2506C2×C4—2441no—
2507C2×C4—2441no—
2508C2×C4—2444no—
2509C2×C4—2441no—
2510C2×C4C24×D6111yescharacteristic
2511C2×C4C24×D6111yescharacteristic
2512C2×C4C24×D6112yes—
2513C2×C4C24×D6114yes—
2514C2×C4C24×D6114yes—
2515C2×C4C24×D6111yescharacteristic
2516C2×C4C24×D6112yes—
2517C2×C4C24×D6112yes—
2518C2×C4C24×D6112yes—
2519C2×C4C24×D6112yes—
2520C2×C4C24×D6112yes—
2521C2×C4C24×D6111yescharacteristic
2522C2×C4C24×D6111yescharacteristic
2523C2×C4C24×D6111yescharacteristic
2524C22—22no—
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—22no—
2531C22—21no—
2532C22—22no—
2533C22—1222no—
2534C22—1221no—
2535C22—1221no—
2536C22—1221no—
2537C22—1221no—
2538C22—1222no—
2539C22—1222no—
2540C22—1224no—
2541C22—1224no—
2542C22—1222no—
2543C22—1222no—
2544C22—1224no—
2545C22—1221no—
2546C22—1221no—
2547C22—1222no—
2548C22—4888no—
2549C22—2444no—
2550C22C25×D6111yescharacteristic
2551C4—21no—
2552C4—21no—
2553C4—22no—
2554C4—22no—
2555C4—22no—
2556C4—22no—
2557C4—24no—
2558C4—24no—
2559C4—22no—
2560C4—21no—
2561C4—22no—
2562C4—1221no—
2563C4—1221no—
2564C4—1222no—
2565C4—1221no—
2566C4—1221no—
2567C4—1222no—
2568C4—1222no—
2569C4—1222no—
2570C4—1222no—
2571C4—1221no—
2572C4—1221no—
2573C4—1224no—
2574C4—1222no—
2575C4#1684059812yes—
2576C4#1684059812yes—
2577C4#1684059912yes—
2578C2—42no—
2579C2—41no—
2580C2—42no—
2581C2—2442no—
2582C2—2444no—
2583C2—2441no—
2584C2—2441no—
2585C2—2442no—
2586C2C2×#1684059811yescharacteristic
2587C2C2×#1684059811yescharacteristic
2588C2C2×#1684059911yescharacteristic
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC61×#3482C2
hypercenter#3482D61
hypocenterC61#62762
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21460497C2semidirect
2. #21460489C2semidirect
3. #21460458C2semidirect
4. #21460450C2semidirect
5. #21460412C2semidirect
6. #21460408C2semidirect
7. #21460303C2semidirect
8. #21460295C2semidirect
9. #21460293C2semidirect
10. #21460291C2semidirect
11. #21460204C2semidirect
12. #21460196C2semidirect
13. #21460194C2semidirect
14. #21460192C2semidirect
15. #21460095C2semidirect
16. #21460093C2semidirect
17. #21460080C2semidirect
18. #21460074C2semidirect
19. #21459958C2semidirect
20. #21459445C2semidirect
21. #21459437C2semidirect
22. #21459429C2semidirect
23. #21459417C2semidirect
24. #21459414C2semidirect
25. #21459386C2semidirect
26. #21459375C2semidirect
27. #21459252C2semidirect
28. #21459250C2semidirect
29. #21459240C2semidirect
30. #21459235C2semidirect
31. #21459202C2semidirect
32. #21459116C2semidirect
33. #21459112C2semidirect
34. #21459112C2semidirect
35. C61×#3482C2semidirect
36. #16840516C22semidirect
37. #16840514C22semidirect
38. #16840514C22semidirect
39. #16840510C22semidirect
40. #16840509C22semidirect
41. #16840509C22semidirect
42. #16840508C22semidirect
43. #16840508C22semidirect
44. #16840506C22semidirect
45. #16840504C22semidirect
47. #16840503C22semidirect
49. #16840502C22semidirect
50. #16840500C22semidirect
51. #16840500C22semidirect
52. #16840497C22semidirect
53. #16840497C22semidirect
54. #16840497C22semidirect
55. #16840495C22semidirect
56. #16840495C22semidirect
57. Q8×Dic122C22semidirect
58. #16840491C22semidirect
59. #16840488C22semidirect
60. #16840487C22semidirect
61. #16840486C22semidirect
62. #16840486C22semidirect
63. #16840485C22semidirect
64. #16840485C22semidirect
65. #16840483C22semidirect
66. #16840481C22semidirect
67. #16840480C22semidirect
68. #16840480C22semidirect
70. #16840477C22semidirect
71. #16840477C22semidirect
73. #16840475C22semidirect
74. #16840475C22semidirect
75. #16840473C22semidirect
76. #16840472C22semidirect
77. #16840469C22semidirect
78. #16840468C22semidirect
79. #16840465C22semidirect
80. #16840462C22semidirect
81. #16840462C22semidirect
82. #16840460C22semidirect
83. #16840460C22semidirect
84. #16840460C22semidirect
85. #16840460C22semidirect
87. #16840457C22semidirect
89. #16840456C22semidirect
90. #16840456C22semidirect
91. #16840454C22semidirect
92. #16840454C22semidirect
93. #16840450C22semidirect
94. #16840450C22semidirect
95. #16840448C22semidirect
96. #16840446C22semidirect
97. #16840446C22semidirect
98. #16840444C22semidirect
99. #16840440C22semidirect
100. #16840439C22semidirect
101. #16840439C22semidirect
102. #16840437C22semidirect
103. #16840436C22semidirect
105. #16840434C22semidirect
106. #16840433C22semidirect
107. #16840433C22semidirect
109. #16840431C22semidirect
110. #16840427C22semidirect
111. #16840424C22semidirect
112. #16840423C22semidirect
113. #16840423C22semidirect
115. #16840419C22semidirect
116. #16840415C22semidirect
117. #16840415C22semidirect
118. #16840414C22semidirect
119. #16840414C22semidirect
120. #16840409C22semidirect
124. #16840403C22semidirect
126. D4×D244C22semidirect
127. #16840393C22semidirect
128. #16840392C22semidirect
129. #16840390C22semidirect
130. #16840389C22semidirect
131. #16840386C22semidirect
132. #16840385C22semidirect
133. #16840385C22semidirect
135. #16840384C22semidirect
136. #16840384C22semidirect
137. #16840384C22semidirect
138. #16840384C22semidirect
139. #16840383C22semidirect
140. #16840382C22semidirect
141. #16840382C22semidirect
143. #16840380C22semidirect
144. #16840378C22semidirect
145. #16840378C22semidirect
146. #16840376C22semidirect
147. #16840373C22semidirect
148. #16840372C22semidirect
149. #16840371C22semidirect
150. #16840371C22semidirect
151. #16840370C22semidirect
152. #16840370C22semidirect
153. #16840370C22semidirect
154. #16840369C22semidirect
155. #16840368C22semidirect
156. #16840367C22semidirect
157. #16840365C22semidirect
158. #16840364C22semidirect
159. #16840364C22semidirect
160. #16840363C22semidirect
161. #16840363C22semidirect
162. #16840362C22semidirect
163. #16840360C22semidirect
164. #16840360C22semidirect
165. #16840359C22semidirect
166. #16840359C22semidirect
167. #16840358C22semidirect
168. #16840358C22semidirect
169. #16840355C22semidirect
170. #16840353C22semidirect
171. #16840351C22semidirect
172. #16840351C22semidirect
173. #16840348C22semidirect
174. #16840348C22semidirect
175. #16840346C22semidirect
176. #16840345C22semidirect
177. #16840345C22semidirect
178. #16840344C22semidirect
181. #16840342C22semidirect
182. #16840340C22semidirect
183. #16840337C22semidirect
184. #16840336C22semidirect
185. #16840336C22semidirect
186. #16840335C22semidirect
188. #16840330C22semidirect
190. #16840326C22semidirect
191. #16840317C22semidirect
192. #16840317C22semidirect
193. #16840316C22semidirect
194. #16840316C22semidirect
195. #16840316C22semidirect
196. #16840316C22semidirect
197. #16840316C22semidirect
198. #16840316C22semidirect
199. #16840315C22semidirect
200. #16840315C22semidirect
204. #16840312C22semidirect
205. #16840312C22semidirect
210. #16840309C22semidirect
211. #16840309C22semidirect
212. #16840309C22semidirect
217. #16840299C22semidirect
218. #16840299C22semidirect
219. #16840299C22semidirect
220. #16840299C22semidirect
221. #16840299C22semidirect
222. #16840299C22semidirect
223. #16840299C22semidirect
224. #16840299C22semidirect
225. #16840299C22semidirect
226. #16840298C22semidirect
227. #16840298C22semidirect
228. #16840297C22semidirect
229. #16840297C22semidirect
230. #16840296C22semidirect
231. #16840296C22semidirect
232. #16840296C22semidirect
235. #16840294C22semidirect
236. #16840294C22semidirect
237. #16840294C22semidirect
238. #16840292C22semidirect
239. #16840292C22semidirect
240. #16840292C22semidirect
241. #16840292C22semidirect
242. #16840290C22semidirect
243. #16840290C22semidirect
244. #16840290C22semidirect
245. #16840290C22semidirect
246. #16840290C22semidirect
247. #16840290C22semidirect
248. #16840290C22semidirect
249. #16840275C22semidirect
250. #16840275C22semidirect
252. #16840274C22semidirect
253. #16840274C22semidirect
254. #16840274C22semidirect
256. #16840271C22semidirect
257. #16840271C22semidirect
258. #16840271C22semidirect
259. #16840271C22semidirect
260. #16840271C22semidirect
261. #16840271C22semidirect
263. #16840269C22semidirect
264. C4×#11758226C22semidirect
265. C4×#11758226C22semidirect
266. C4×#11758226C22semidirect
267. C4×#11758226C22semidirect
269. C4×#11758222C22semidirect
270. C4×#11758222C22semidirect
271. C4×#11758222C22semidirect
272. C4×#11758222C22semidirect
273. C4×#11758222C22semidirect
274. C4×#11758222C22semidirect
275. C4×#11758222C22semidirect
276. #16840230C22semidirect
277. C4×Q8×D61C22semidirect
278. C2×C4×D244C22semidirect
279. C4×D4×D61C22semidirect
280. #117×D61C22semidirect
281. C2×C42×D61C22semidirect
282. C61×#557C22semidirect
283. C61×#556C22semidirect
284. C61×#556C22semidirect
285. C61×#552C22semidirect
286. C61×#552C22semidirect
287. D4×Q8×C61C22semidirect
289. C61×#547C22semidirect
290. C61×#547C22semidirect
291. C61×#533C22semidirect
292. C61×#533C22semidirect
293. C61×#529C22semidirect
294. C61×#529C22semidirect
296. C4×#41×C61C22semidirect
297. C4×#41×C61C22semidirect
298. C2×C4×Q8×C61C22semidirect
1305. #3482D61semidirect
1355. #557C2×D61semidirect
1364. #556C2×D61semidirect
1365. #556C2×D61semidirect
1396. #552C2×D61semidirect
1397. #552C2×D61semidirect
1410. D4×Q8C2×D61semidirect
1421. #547C2×D61semidirect
1422. #547C2×D61semidirect
1504. #533C2×D61semidirect
1505. #533C2×D61semidirect
1554. #529C2×D61semidirect
1555. #529C2×D61semidirect
1585. C4×#41C2×D61semidirect
1586. C4×#41C2×D61semidirect
1588. C2×C4×Q8C2×D61semidirect
1593. C61#62762semidirect

Maximal subgroups

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

subgroupindex
#214604972
#214604892
#214604582
#214604502
#214604122
#214604082
#214603032
#214602952
#214602932
#214602912
#214602042
#214601962
#214601942
#214601922
#214600952
#214600932
#214600802
#214600742
#214599582
#214594452
#214594372
#214594292
#214594172
#214594142
#214593862
#214593752
#214592522
#214592502
#214592402
#214592352
#214592022
#214591162
#214591122
C61×#34822
#6276261