Finite Group Databasebeta

← #33969106

Subgroups — #33969106

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624036C211yesmaximal, characteristic, complemented
2#22623965C211yesmaximal, characteristic, complemented
3#22622975C211yesmaximal, characteristic, complemented
4#22622878C211yesmaximal, characteristic, complemented
5#22622686C211yesmaximal, characteristic, complemented
6#22622662C211yesmaximal, characteristic, complemented
7#22622493C211yesmaximal, characteristic, complemented
8#22622433C211yesmaximal, characteristic, complemented
9#22622433C211yesmaximal, characteristic, complemented
10#22622186C211yesmaximal, characteristic, complemented
11#22622174C211yesmaximal, characteristic, complemented
12#22622119C211yesmaximal, characteristic, complemented
13#22622074C211yesmaximal, characteristic, complemented
14#22621954C211yesmaximal, characteristic, complemented
15#22621939C211yesmaximal, characteristic, complemented
16#22621553C211yesmaximal, characteristic, complemented
17#22621431C211yesmaximal, characteristic, complemented
18#22621431C211yesmaximal, characteristic, complemented
19#22620614C211yesmaximal, characteristic, complemented
20#22620581C211yesmaximal, characteristic, complemented
21#22620526C211yesmaximal, characteristic, complemented
22#22620223C211yesmaximal, characteristic, complemented
23#22620175C211yesmaximal, characteristic, complemented
24#22620132C211yesmaximal, characteristic, complemented
25#22620117C211yesmaximal, characteristic, complemented
26#22620083C211yesmaximal, characteristic, complemented
27#22620071C211yesmaximal, characteristic, complemented
28#22618792C211yesmaximal, characteristic, complemented
29#22618765C211yesmaximal, characteristic, complemented
30C4×#14556619C211yesmaximal, characteristic, complemented
31C73×#2967C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989321—21no—
37#17989315C2211yescharacteristic, complemented
38#17989302C2211yescharacteristic
39#17989302C2211yescharacteristic, complemented
40#17989299—21no—
41#17989297C2211yescharacteristic
42#17989290—21no—
43#17989283C2211yescharacteristic
44#17989283C2211yescharacteristic
45#17989283C2211yescharacteristic, complemented
46#17989282—21no—
47#17989277C2211yescharacteristic, complemented
48#17989269—21no—
49#17989259C2211yescharacteristic
50#17989258C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic, complemented
52#17989246C2211yescharacteristic, complemented
53#17989230—21no—
54#17989229—21no—
55#17989229—21no—
56D4×D292C2211yescharacteristic
57D4×D292C2211yescharacteristic
58D4×D292C2211yescharacteristic
59#17989208C2211yescharacteristic, complemented
60#17989207—21no—
61#17989192C2211yescharacteristic
62#17989192C2211yescharacteristic
63#17989192C2211yescharacteristic, complemented
64#17989187—21no—
65#17989176—21no—
66#17989176—21no—
67#17989137C2211yescharacteristic
68#17989121C2211yescharacteristic, complemented
69#17989120—21no—
70#17989120—21no—
71#17989100—21no—
72#121×D73—21no—
73#17989067C2211yescharacteristic, complemented
74#17989064C2211yescharacteristic, complemented
75#17989061C2211yescharacteristic
76#17989061C2211yescharacteristic
77C4×#11924028C2211yescharacteristic, complemented
78C2×C4×D292C2211yescharacteristic
79#17988996C2211yescharacteristic, complemented
80#17988996C2211yescharacteristic, complemented
81#17988989C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988964C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic, complemented
86#17988952C2211yescharacteristic, complemented
87#17988952C2211yescharacteristic, complemented
88#17988947C2211yescharacteristic, complemented
89#17988942C2211yescharacteristic, complemented
90#17988934C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic, complemented
98#17988912C2211yescharacteristic, complemented
99#17988912C2211yescharacteristic, complemented
100#17988906C2211yescharacteristic, complemented
101#17988901C2211yescharacteristic, complemented
102#17988901C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic
107#17988888C2211yescharacteristic
108#17988888C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988888C2211yescharacteristic, complemented
111#17988878C2211yescharacteristic
112#17988873C2211yescharacteristic, complemented
113#17988868C2211yescharacteristic, complemented
114#17988868C2211yescharacteristic, complemented
115#17988840C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic, complemented
117#17988840C2211yescharacteristic, complemented
118#17988840C2211yescharacteristic, complemented
119#17988840C2211yescharacteristic, complemented
120#17988833C2211yescharacteristic, complemented
121#17988833C2211yescharacteristic, complemented
122#17988833C2211yescharacteristic, complemented
123#17988823C2211yescharacteristic, complemented
124#17988823C2211yescharacteristic, complemented
125#17988823C2211yescharacteristic, complemented
126#17988816C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic
128#17988803C2211yescharacteristic
129#17988803C2211yescharacteristic, complemented
130#17988803C2211yescharacteristic, complemented
131#17988788C2211yescharacteristic, complemented
132#17988788C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988788C2211yescharacteristic, complemented
135#17988783C2211yescharacteristic
136#17988783C2211yescharacteristic, complemented
137#17988783C2211yescharacteristic, complemented
138#17988783C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic
140#17988740C2211yescharacteristic
141#17988734C2211yescharacteristic, complemented
142#17988734C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988728C2211yescharacteristic, complemented
146#17988728C2211yescharacteristic, complemented
147#17988723C2211yescharacteristic
148#17988723C2211yescharacteristic
149#17988723C2211yescharacteristic
150#17988723C2211yescharacteristic
151#17988700C2211yescharacteristic
152#17988700C2211yescharacteristic
153#17988700C2211yescharacteristic, complemented
154#17988700C2211yescharacteristic, complemented
155#17988700C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic, complemented
157#17988700C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic
159#17988689C2211yescharacteristic
160#17988689C2211yescharacteristic
161#17988689C2211yescharacteristic
162#17988689C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988689C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic
168C4×#11924017C2211yescharacteristic
169C4×#11924017C2211yescharacteristic, complemented
170C4×#11924017C2211yescharacteristic, complemented
171C4×#11924017C2211yescharacteristic, complemented
172C4×#11924017C2211yescharacteristic, complemented
173C4×#11924017C2211yescharacteristic, complemented
174C4×D584C2211yescharacteristic
175C4×D584C2211yescharacteristic
176C4×D584C2211yescharacteristic, complemented
177C4×D584C2211yescharacteristic, complemented
178C4×D584C2211yescharacteristic, complemented
179#17988629C2211yescharacteristic, complemented
180#17988629C2211yescharacteristic, complemented
181#17988625C2211yescharacteristic, complemented
182#17988597C2211yescharacteristic, complemented
183#17988593C2211yescharacteristic
184#17988593C2211yescharacteristic
185#17988589C2211yescharacteristic, complemented
186#17988584C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic
188#529×C73C2211yescharacteristic
189#446×C73C2211yescharacteristic, complemented
190#446×C73C2211yescharacteristic, complemented
191#436×C73C2211yescharacteristic, complemented
192#436×C73C2211yescharacteristic, complemented
193#435×C73C2211yescharacteristic, complemented
194#435×C73C2211yescharacteristic, complemented
195#435×C73C2211yescharacteristic, complemented
196#435×C73C2211yescharacteristic, complemented
197#433×C73C2211yescharacteristic, complemented
198#433×C73C2211yescharacteristic, complemented
199#432×C73C2211yescharacteristic, complemented
200#405×C73C2211yescharacteristic, complemented
201#405×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556619—24no—
217C2×#11924017—24no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556589—21no—
237#14556588C2311yescharacteristic
238#14556588C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556587—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556585—21no—
247#14556584—21no—
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556583C2311yescharacteristic
251#14556583C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556580—21no—
256#14556579—21no—
257#14556579C2311yescharacteristic
258#14556579C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572—21no—
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556567—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556550C2311yescharacteristic
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic
371#14556550C2311yescharacteristic
372#14556549—21no—
373#14556549—21no—
374#14556549—21no—
375#14556548—21no—
376#14556548—21no—
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C2×#11924005—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C42×D73—21no—
390#14556525C2311yescharacteristic
391#14556525C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556523C2311yescharacteristic
404#14556523C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556513C2311yescharacteristic
432#14556513C2311yescharacteristic
433#14556513C2311yescharacteristic
434#14556513C2311yescharacteristic
435#14556513C2311yescharacteristic
436#14556513C2311yescharacteristic
437#14556513C2311yescharacteristic
438C2×M16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444#126×C73D411yescharacteristic
445#126×C73D411yescharacteristic
446#125×C73D411yescharacteristic
447#124×C73D411yescharacteristic
448#123×C73D411yescharacteristic
449#123×C73D411yescharacteristic
450C22⋊Q8×C73D411yescharacteristic
451#121×C73D411yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458C2×C42×C73C2311yescharacteristic
459C4⋊C8×C73C2311yescharacteristic
460C4⋊C8×C73C2311yescharacteristic
461C4⋊C8×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468C22⋊C8×C73C2311yescharacteristic
469C22⋊C8×C73C2311yescharacteristic
470C22⋊C8×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472#97×C73C2311yescharacteristic
473#97×C73C2311yescharacteristic
474#97×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C4×C8×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—82no—
485#11924028—22no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×D292—22no—
498C2×D292—22no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532D4×D73—82no—
533D4×D73—82no—
534D4×D73—82no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—82no—
555#11924017—22no—
556#11924017—22no—
557#11924017—22no—
558#11924017—22no—
559#11924017—22no—
560#11924017—41no—
561#11924017—41no—
562#11924017#4114yescomplemented
563D584—22no—
564D584—22no—
565D584—22no—
566D584—22no—
567D584—41no—
568D584—41no—
569D584—41no—
570D584—41no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C2×Q8×C73C2×D411yescharacteristic
644C2×D4×C73C2×D411yescharacteristic
645C2×D4×C73C2×D411yescharacteristic
646C2×D4×C73C2×D411yescharacteristic
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2×D411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650C22×C4×C73C2411yescharacteristic
651C22×C4×C73C2411yescharacteristic
652M16×C73—22no—
653M16×C73—22no—
654M16×C73—41no—
655M16×C73—41no—
656C2×C8×C73—22no—
657C2×C8×C73—41no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73C2×D411yescharacteristic
667C4⋊C4×C73C2×D411yescharacteristic
668C4⋊C4×C73C2×D411yescharacteristic
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C22⋊C4×C73C2×D411yescharacteristic
679C22⋊C4×C73C2×D411yescharacteristic
680C22⋊C4×C73C2×D411yescharacteristic
681C22⋊C4×C73C2×D411yescharacteristic
682C22⋊C4×C73C2×D411yescharacteristic
683C22⋊C4×C73C2×D411yescharacteristic
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710Q8×C73—41no—
711D4×C73—41no—
712D4×C73—41no—
713D4×C73—41no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—41no—
721C2×C4×C73—41no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—42no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—42no—
774D292—81no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292—81no—
781D292C2×#4112yes—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—81no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73C23×D411yescharacteristic
823C2×D73—22no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—22no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—41no—
871C2×C73D4×#4111yescharacteristic
872C2×C73#358511yescharacteristic
873C2×C73#358511yescharacteristic
874D73—42no—
875D73—81no—
876D73—81no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967D7311yescharacteristic, complemented
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—1461no—
950#529—1461no—
951#529C2×D7311yescharacteristic
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446C2×D7311yescharacteristic, complemented
1033#446C2×D7311yescharacteristic, complemented
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436C2×D7311yescharacteristic, complemented
1063#436C2×D7311yescharacteristic, complemented
1064#435C2×D7311yescharacteristic, complemented
1065#435C2×D7311yescharacteristic, complemented
1066#435C2×D7311yescharacteristic, complemented
1067#435C2×D7311yescharacteristic, complemented
1068#433C2×D7311yescharacteristic, complemented
1069#433C2×D7311yescharacteristic, complemented
1070#432C2×D7311yescharacteristic, complemented
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405C2×D7311yescharacteristic, complemented
1081#405C2×D7311yescharacteristic, complemented
1082C4×M16C2×D7311yescharacteristic, complemented
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—1464no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16C22×D7311yescharacteristic
1115C2×M16C22×D7311yescharacteristic
1116C2×M16C22×D7311yescharacteristic
1117C2×M16C22×D7311yescharacteristic
1118C22×C8C22×D7311yescharacteristic
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—1461no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126D29211yescharacteristic
1135#126D29211yescharacteristic
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125D29211yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124D29211yescharacteristic
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123D29211yescharacteristic
1171#123D29211yescharacteristic
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8D29211yescharacteristic
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121D29211yescharacteristic
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—1461no—
1290C2×C42C22×D7311yescharacteristic
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307C4⋊C8C22×D7311yescharacteristic
1308C4⋊C8C22×D7311yescharacteristic
1309C4⋊C8C22×D7311yescharacteristic
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345C22⋊C8C22×D7311yescharacteristic
1346C22⋊C8C22×D7311yescharacteristic
1347C22⋊C8C22×D7311yescharacteristic
1348C22⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97C22×D7311yescharacteristic
1352#97C22×D7311yescharacteristic
1353#97C22×D7311yescharacteristic
1354#97C22×D7311yescharacteristic
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8C22×D7311yescharacteristic
1358C4×C8C22×D7311yescharacteristic
1359C4×C8C22×D7311yescharacteristic
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1462no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8C2×D29211yescharacteristic
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—2921no—
1381C2×D4—5842no—
1382C2×D4—5842no—
1383C2×D4—5842no—
1384C2×D4—731no—
1385C2×D4—731no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—1462no—
1391C2×D4—1462no—
1392C2×D4—1462no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4C2×D29211yescharacteristic
1417C2×D4C2×D29211yescharacteristic
1418C2×D4C2×D29211yescharacteristic
1419C22×C4—5842no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4C2×D29211yescharacteristic
1440C22×C4C2×D29211yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—2921no—
1445SD16—2921no—
1446SD16—734no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—22no—
1461M16—22no—
1462M16—41no—
1463M16—41no—
1464C2×C8—22no—
1465C2×C8—41no—
1466C2×C8C23×D7311yescharacteristic
1467C2×C8C23×D7311yescharacteristic
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4C2×D29211yescharacteristic
1503C4⋊C4C2×D29211yescharacteristic
1504C4⋊C4C2×D29211yescharacteristic
1505C4⋊C4C2×D29211yescharacteristic
1506C4⋊C4C2×D29211yescharacteristic
1507C4⋊C4C2×D29211yescharacteristic
1508C4⋊C4C2×D29211yescharacteristic
1509C4⋊C4C2×D29211yescharacteristic
1510C4⋊C4C2×D29211yescharacteristic
1511C4⋊C4C2×D29211yescharacteristic
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4C2×D29211yescharacteristic
1547C22⋊C4C2×D29211yescharacteristic
1548C22⋊C4C2×D29211yescharacteristic
1549C22⋊C4C2×D29211yescharacteristic
1550C22⋊C4C2×D29211yescharacteristic
1551C22⋊C4C2×D29211yescharacteristic
1552C22⋊C4C2×D29211yescharacteristic
1553C22⋊C4C2×D29211yescharacteristic
1554C22⋊C4C2×D29211yescharacteristic
1555C22⋊C4C2×D29211yescharacteristic
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42C2×D29211yescharacteristic
1567C42C2×D29211yescharacteristic
1568C42C23×D7311yescharacteristic
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—2922no—
1573C23—2922no—
1574C23—2922no—
1575C23—2922no—
1576C23—5841no—
1577C23—5841no—
1578C23—5841no—
1579C23—5841no—
1580C23—5841no—
1581C23—1461no—
1582C23—1461no—
1583C23—1461no—
1584C23—1461no—
1585C23—1461no—
1586C23—1461no—
1587C23C22×D29211yescharacteristic
1588C23C22×D29211yescharacteristic
1589C23C22×D29211yescharacteristic
1590Q8—41no—
1591Q8—2922no—
1592Q8—5841no—
1593Q8—5841no—
1594Q8—732no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8—1461no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—5841no—
1610D4—5841no—
1611D4—5841no—
1612D4—5841no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—732no—
1625D4—1461no—
1626D4—1461no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4C22×D29211yescharacteristic
1674C2×C4C22×D29211yescharacteristic
1675C2×C4C22×D29211yescharacteristic
1676C2×C4C22×D29211yescharacteristic
1677C2×C4C22×D29211yescharacteristic
1678C2×C4C22×D29211yescharacteristic
1679C2×C4C22×D29211yescharacteristic
1680C2×C4C22×D29211yescharacteristic
1681C2×C4C22×D29211yescharacteristic
1682C2×C4C22×D29211yescharacteristic
1683C2×C4C22×D29211yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8#41×D7312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—5844no—
1720C22—11682no—
1721C22—11682no—
1722C22—1462no—
1723C22C23×D29211yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—2921no—
1742C4—2921no—
1743C4—2921no—
1744C4—1462no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—2922no—
1751C2—5841no—
1752C2—5841no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2#41×D29211yescharacteristic
1757C2#2262471211yescharacteristic
1758C2#2262471211yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2967C2
socleC22×C73C23×D4
hypercenter#2967D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #2967

Complements

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

NH ≅ G/Ntype
1. #22624036C2semidirect
2. #22623965C2semidirect
3. #22622975C2semidirect
4. #22622878C2semidirect
5. #22622686C2semidirect
6. #22622662C2semidirect
7. #22622493C2semidirect
8. #22622433C2semidirect
9. #22622433C2semidirect
10. #22622186C2semidirect
11. #22622174C2semidirect
12. #22622119C2semidirect
13. #22622074C2semidirect
14. #22621954C2semidirect
15. #22621939C2semidirect
16. #22621553C2semidirect
17. #22621431C2semidirect
18. #22621431C2semidirect
19. #22620614C2semidirect
20. #22620581C2semidirect
21. #22620526C2semidirect
22. #22620223C2semidirect
23. #22620175C2semidirect
24. #22620132C2semidirect
25. #22620117C2semidirect
26. #22620083C2semidirect
27. #22620071C2semidirect
28. #22618792C2semidirect
29. #22618765C2semidirect
30. C4×#14556619C2semidirect
31. C73×#2967C2semidirect
35. #17989322C22semidirect
37. #17989315C22semidirect
39. #17989302C22semidirect
45. #17989283C22semidirect
47. #17989277C22semidirect
50. #17989258C22semidirect
51. #17989246C22semidirect
52. #17989246C22semidirect
59. #17989208C22semidirect
63. #17989192C22semidirect
68. #17989121C22semidirect
73. #17989067C22semidirect
74. #17989064C22semidirect
77. C4×#11924028C22semidirect
79. #17988996C22semidirect
80. #17988996C22semidirect
81. #17988989C22semidirect
82. #17988976C22semidirect
83. #17988976C22semidirect
84. #17988964C22semidirect
85. #17988952C22semidirect
86. #17988952C22semidirect
87. #17988952C22semidirect
88. #17988947C22semidirect
89. #17988942C22semidirect
90. #17988934C22semidirect
91. #17988929C22semidirect
92. #17988918C22semidirect
93. #17988912C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988912C22semidirect
97. #17988912C22semidirect
98. #17988912C22semidirect
99. #17988912C22semidirect
100. #17988906C22semidirect
101. #17988901C22semidirect
102. #17988901C22semidirect
103. #17988895C22semidirect
104. #17988895C22semidirect
105. #17988895C22semidirect
108. #17988888C22semidirect
109. #17988888C22semidirect
110. #17988888C22semidirect
112. #17988873C22semidirect
113. #17988868C22semidirect
114. #17988868C22semidirect
115. #17988840C22semidirect
116. #17988840C22semidirect
117. #17988840C22semidirect
118. #17988840C22semidirect
119. #17988840C22semidirect
120. #17988833C22semidirect
121. #17988833C22semidirect
122. #17988833C22semidirect
123. #17988823C22semidirect
124. #17988823C22semidirect
125. #17988823C22semidirect
126. #17988816C22semidirect
129. #17988803C22semidirect
130. #17988803C22semidirect
131. #17988788C22semidirect
132. #17988788C22semidirect
133. #17988788C22semidirect
134. #17988788C22semidirect
136. #17988783C22semidirect
137. #17988783C22semidirect
138. #17988783C22semidirect
141. #17988734C22semidirect
142. #17988734C22semidirect
143. #17988734C22semidirect
144. #17988734C22semidirect
145. #17988728C22semidirect
146. #17988728C22semidirect
153. #17988700C22semidirect
154. #17988700C22semidirect
155. #17988700C22semidirect
156. #17988700C22semidirect
157. #17988700C22semidirect
162. #17988689C22semidirect
163. #17988689C22semidirect
164. #17988689C22semidirect
165. #17988689C22semidirect
166. #17988689C22semidirect
169. C4×#11924017C22semidirect
170. C4×#11924017C22semidirect
171. C4×#11924017C22semidirect
172. C4×#11924017C22semidirect
173. C4×#11924017C22semidirect
176. C4×D584C22semidirect
177. C4×D584C22semidirect
178. C4×D584C22semidirect
179. #17988629C22semidirect
180. #17988629C22semidirect
181. #17988625C22semidirect
182. #17988597C22semidirect
185. #17988589C22semidirect
186. #17988584C22semidirect
189. #446×C73C22semidirect
190. #446×C73C22semidirect
191. #436×C73C22semidirect
192. #436×C73C22semidirect
193. #435×C73C22semidirect
194. #435×C73C22semidirect
195. #435×C73C22semidirect
196. #435×C73C22semidirect
197. #433×C73C22semidirect
198. #433×C73C22semidirect
199. #432×C73C22semidirect
200. #405×C73C22semidirect
201. #405×C73C22semidirect
202. C4×M16×C73C22semidirect
562. #11924017#41semidirect
907. #2967D73semidirect
911. C73#61504semidirect
1032. #446C2×D73semidirect
1033. #446C2×D73semidirect
1062. #436C2×D73semidirect
1063. #436C2×D73semidirect
1064. #435C2×D73semidirect
1065. #435C2×D73semidirect
1066. #435C2×D73semidirect
1067. #435C2×D73semidirect
1068. #433C2×D73semidirect
1069. #433C2×D73semidirect
1070. #432C2×D73semidirect
1080. #405C2×D73semidirect
1081. #405C2×D73semidirect
1082. C4×M16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240362
#226239652
#226229752
#226228782
#226226862
#226226622
#226224932
#226224332
#226221862
#226221742
#226221192
#226220742
#226219542
#226219392
#226215532
#226214312
#226206142
#226205812
#226205262
#226202232
#226201752
#226201322
#226201172
#226200832
#226200712
#226187922
#226187652
C4×#145566192
C73×#29672
#6150473