Finite Group Databasebeta

← #33978697

Subgroups — #33978697

Order 18688.

1916 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623837C211yesmaximal, characteristic, complemented
2#22623542C211yesmaximal, characteristic, complemented
3#22623000C211yesmaximal, characteristic, complemented
4#22622998C211yesmaximal, characteristic, complemented
5#22622765C211yesmaximal, characteristic, complemented
6#22622757C211yesmaximal, characteristic, complemented
7#22622036C211yesmaximal, characteristic, complemented
8#22621910C211yesmaximal, characteristic, complemented
9#22621908C211yesmaximal, characteristic, complemented
10#22621831C211yesmaximal, characteristic, complemented
11#22621829C211yesmaximal, characteristic, complemented
12#22621635C211yesmaximal, characteristic, complemented
13#22621631C211yesmaximal, characteristic, complemented
14#22621463C211yesmaximal, characteristic, complemented
15#22621459C211yesmaximal, characteristic, complemented
16#22621431C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22621299C211yesmaximal, characteristic, complemented
19#22621252C211yesmaximal, characteristic, complemented
20#22621246C211yesmaximal, characteristic, complemented
21#22620961C211yesmaximal, characteristic, complemented
22#22620927C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620091C211yesmaximal, characteristic, complemented
25#22620019C211yesmaximal, characteristic, complemented
26#22619936C211yesmaximal, characteristic, complemented
27#22619394C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29C2×#17988791C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3316C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C22×#11924017C2211yescharacteristic
37C22×#11924015C2211yescharacteristic
38#17989322C2211yescharacteristic
39#17989309C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989299—21no—
42#17989298C2211yescharacteristic
43#17989291—21no—
44#17989290—21no—
45#17989286—21no—
46#17989285C2211yescharacteristic
47#17989285C2211yescharacteristic
48#17989280—21no—
49#17989264—21no—
50#17989264—21no—
51#17989248C2211yescharacteristic, complemented
52#17989246C2211yescharacteristic
53#17989243C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic, complemented
56#17989232—21no—
57#17989228C2211yescharacteristic
58#17989228C2211yescharacteristic
59D4×D292C2211yescharacteristic
60#17989207—21no—
61#17989201—21no—
62#17989164—21no—
63#17989141C2211yescharacteristic, complemented
64#17989139C2211yescharacteristic, complemented
65#17989138C2211yescharacteristic
66#17989136C2211yescharacteristic, complemented
67#17989133C2211yescharacteristic, complemented
68#17989132C2211yescharacteristic, complemented
69C2×#14556589C2211yescharacteristic, complemented
70#17989123C2211yescharacteristic
71#17989123C2211yescharacteristic
72#17989122—21no—
73#17989100—21no—
74#17989100—21no—
75#17989066—21no—
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic
79C2×#14556553C2211yescharacteristic
80C4×D4×D73—21no—
81#17988980C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic
84#17988976C2211yescharacteristic
85#17988972C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988954C2211yescharacteristic, complemented
89#17988949C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988931C2211yescharacteristic, complemented
93#17988927C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic
102#17988876C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988869C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic
107#17988833C2211yescharacteristic
108#17988823C2211yescharacteristic
109#17988821C2211yescharacteristic
110#17988819C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic
126#17988795C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic
129#17988791C2211yescharacteristic
130#17988791C2211yescharacteristic
131#17988791C2211yescharacteristic
132#17988791C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988791C2211yescharacteristic, complemented
137#17988791C2211yescharacteristic, complemented
138#17988788C2211yescharacteristic
139#17988787C2211yescharacteristic
140#17988785C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic
145#17988748C2211yescharacteristic
146#17988747C2211yescharacteristic, complemented
147#17988742C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988735C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic
153#17988733C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic
156#17988728C2211yescharacteristic
157#17988726C2211yescharacteristic
158#17988723C2211yescharacteristic
159#17988720C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic
165#17988696C2211yescharacteristic, complemented
166#17988692C2211yescharacteristic, complemented
167#17988689C2211yescharacteristic
168#17988685C2211yescharacteristic
169#17988674C2211yescharacteristic
170#17988674C2211yescharacteristic, complemented
171#17988672C2211yescharacteristic
172#17988672C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556514C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×Dic146C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C22×C4×D73—21no—
215C22×C4×D73—21no—
216#14556619—42no—
217#14556616—42no—
218#14556614—42no—
219#14556612—42no—
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924017—42no—
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924015—42no—
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556589—21no—
249#14556589—21no—
250#14556589C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556589C2311yescharacteristic
254#14556588C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556586—21no—
261#14556585—21no—
262#14556584—21no—
263#14556584—21no—
264#14556582C2311yescharacteristic
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556580—21no—
269#14556580—21no—
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556575—21no—
288#14556574—21no—
289#14556573—21no—
290#14556572—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565—21no—
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329Q8×Dic73C2311yescharacteristic
330Q8×Dic73C2311yescharacteristic
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556—21no—
335#14556556D411yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292—21no—
338C4×D292—21no—
339C4×D292C2311yescharacteristic
340D4×Dic73—21no—
341D4×Dic73D411yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551D411yescharacteristic
371#14556551D411yescharacteristic
372#14556549—21no—
373#14556549—21no—
374#14556549—21no—
375#14556549D411yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547D411yescharacteristic
382#14556547D411yescharacteristic
383C2×#11924007—21no—
384C2×#11924007—21no—
385C2×#11924007—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#125×C73—21no—
450#124×C73—21no—
451#124×C73C2311yescharacteristic
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—82no—
491#11924028—41no—
492#11924028—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—42no—
496#11924027—44no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292—22no—
505C2×D292—22no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—41no—
515C2×D292—41no—
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⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—44no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C2×C4×D73—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—82no—
550C2×C4×D73—82no—
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554#11924018—41no—
555#11924018—41no—
556#11924017—22no—
557#11924017—22no—
558#11924017—41no—
559#11924017—41no—
560#11924017—41no—
561#11924017—41no—
562#11924015—22no—
563#11924015—22no—
564#11924015—41no—
565#11924015—41no—
566#11924015—41no—
567#11924015—41no—
568#11924015—41no—
569D584—22no—
570D584—41no—
571D584—41no—
572#11924013—22no—
573#11924013—41no—
574#11924013—41no—
575#11924012—41no—
576C2×#10596831—41no—
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C8×D73—41no—
582C8×D73—41no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
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—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657#41×C73—41no—
658#41×C73—41no—
659C2×Q8×C73—21no—
660C2×Q8×C73—21no—
661C2×Q8×C73—41no—
662C2×Q8×C73—41no—
663C2×Q8×C73C2411yescharacteristic
664C2×Q8×C73C2411yescharacteristic
665C2×Q8×C73C2411yescharacteristic
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73C2×D411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676Q16×C73—41no—
677Q16×C73—41no—
678SD16×C73—41no—
679M16×C73—41no—
680C2×C8×C73—41no—
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73C2×D411yescharacteristic
705C22⋊C4×C73C2×D411yescharacteristic
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73C22×D411yescharacteristic
711C23×C73C22×D411yescharacteristic
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—81no—
730Q8×C73—81no—
731D4×C73—22no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—42no—
735D4×C73—81no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—22no—
757C22⋊D73—41no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C2×Dic73—22no—
766C2×Dic73—22no—
767C2×Dic73—22no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—41no—
773C2×Dic73—42no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—42no—
791D292—42no—
792D292—42no—
793D292—42no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292—81no—
798D292H(5,𝔽2)12yes—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—22no—
802C4×D73—41no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—21no—
819Dic146—41no—
820Dic146—42no—
821Dic146—81no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73#57512yes—
839C22×C73C23×D411yescharacteristic
840C2×D73—21no—
841C2×D73—22no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—84no—
856C2×D73—84no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61978—731nomaximal, Sylow
882C2×C73—22no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73#348811yescharacteristic
886C2×C73C2×#57511yescharacteristic
887C2×C73C2×#57711yescharacteristic
888D73—41no—
889D73—42no—
890D73—81no—
891D73—81no—
892D73—81no—
893#3511—731no—
894#3481—731no—
895#3401—731no—
896#3401—731no—
897#3376—731no—
898#3376—731no—
899#3316—731no—
900#3316D7311yescharacteristic, complemented
901#3307—731no—
902#3307—731no—
903#3301—731no—
904#3301—731no—
905#3282—731no—
906#3282—731no—
907#3267—731no—
908#3267—731no—
909#3265—731no—
910#3265—731no—
911#3252—731no—
912#3247—731no—
913#3246—731no—
914#3218—731no—
915#3214—731no—
916#3212—731no—
917#3116—731no—
918#3109—731no—
919#3101—731no—
920#3036—731no—
921#3035—731no—
922C2×#461—731no—
923#2990—731no—
924C73#6197811yescharacteristic, complemented, Sylow
925C2×AGL(1,ℤ/8)—731no—
926C2×AGL(1,ℤ/8)—731no—
927C2×#135—731no—
928C2×#135—731no—
929C22×SD16—731no—
930C22×SD16—731no—
931#559—731no—
932#556—731no—
933#556—731no—
934#555—1461no—
935#554—731no—
936#554—1461no—
937#554C2×D7311yescharacteristic
938#553—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#553—1461no—
943#551—1461no—
944#551—1461no—
945#548—731no—
946#548—731no—
947#548—731no—
948#548C2×D7311yescharacteristic
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—1461no—
954D42—731no—
955#542—1461no—
956#542—1461no—
957#537—1461no—
958#533—731no—
959#533—731no—
960#532—731no—
961#532—731no—
962#532—731no—
963#532—731no—
964C2×C4⋊Q8—731no—
965#529—731no—
966#529—731no—
967#529—1461no—
968#525—1461no—
969#525—1461no—
970#520—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C2×C4×D4—731no—
974C2×C4×D4—731no—
975C2×C4×D4—1461no—
976#497—731no—
977#497—731no—
978#496—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#491—731no—
983#491—731no—
984#489—731no—
985#489C2×D7311yescharacteristic, complemented
986#488—731no—
987#488—731no—
988#485—731no—
989#485—731no—
990#483—731no—
991#483C2×D7311yescharacteristic, complemented
992#481—731no—
993#481C2×D7311yescharacteristic, complemented
994#479—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#477—731no—
999#476—731no—
1000#476—731no—
1001#476—731no—
1002#475—731no—
1003#475C2×D7311yescharacteristic, complemented
1004#470—731no—
1005#470C2×D7311yescharacteristic, complemented
1006#468—731no—
1007#468—731no—
1008#466—731no—
1009#466—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#462—731no—
1029#462—731no—
1030#461—731no—
1031#461—731no—
1032#461—731no—
1033#461—731no—
1034#461—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452C2×D7311yescharacteristic, complemented
1050#451—731no—
1051#451C2×D7311yescharacteristic, complemented
1052#450—731no—
1053#450—731no—
1054#449—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#448—731no—
1062#447—731no—
1063#447—731no—
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#441C2×D7311yescharacteristic, complemented
1072#440—731no—
1073#440—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#417—731no—
1091#417C2×D7311yescharacteristic, complemented
1092#416—731no—
1093#416—731no—
1094C2×#103—731no—
1095C2×#103C2×D7311yescharacteristic, complemented
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×Q8C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110C23×C4—1461no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×Q16C22×D7311yescharacteristic
1119C2×SD16—2922no—
1120C2×SD16—2922no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16C22×D7311yescharacteristic
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—731no—
1152C4⋊Q8—1461no—
1153C4⋊Q8—1461no—
1154C4⋊Q8C22×D7311yescharacteristic
1155#127—731no—
1156#127—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#125—21no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#124—21no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124C22×D7311yescharacteristic
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8C22×D7311yescharacteristic
1212C22⋊Q8C22×D7311yescharacteristic
1213C22⋊Q8C22×D7311yescharacteristic
1214#121—21no—
1215#121—731no—
1216#121—731no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121C22×D7311yescharacteristic
1237#120—1461no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—1461no—
1248C4×Q8—1461no—
1249C4×Q8C22×D7311yescharacteristic
1250C4×Q8C22×D7311yescharacteristic
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300C2×C4⋊C4—1461no—
1301C2×C4⋊C4—1461no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C4⋊C4C22×D7311yescharacteristic
1306C2×C4⋊C4C22×D7311yescharacteristic
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C42—731no—
1312C2×C42—731no—
1313C2×C42—731no—
1314C2×C42—1461no—
1315#107—731no—
1316#107—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106C22×D7311yescharacteristic
1321#106C22×D7311yescharacteristic
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#103C22×D7311yescharacteristic
1350#103C22×D7311yescharacteristic
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—1461no—
1378C24—1461no—
1379#41—41no—
1380#41—41no—
1381#41—2921no—
1382#41—2921no—
1383#41—2922no—
1384#41—2924no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—5842no—
1391#41—1462no—
1392C2×Q8—21no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—2921no—
1397C2×Q8—2921no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8C23×D7311yescharacteristic
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—2924no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1462no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4D4×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—5842no—
1441C22×C4—5842no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—41no—
1467Q16—41no—
1468Q16—2921no—
1469Q16—2921no—
1470SD16—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—1462no—
1481SD16—1462no—
1482SD16—1462no—
1483SD16—1462no—
1484D8—2921no—
1485D8—2921no—
1486D8—2921no—
1487D8—2921no—
1488D8—1462no—
1489D8—1462no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4D4×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4D4×D7311yescharacteristic
1584C22⋊C4D4×D7311yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—731no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—2922no—
1607C23—5841no—
1608C23—5841no—
1609C23—731no—
1610C23—1461no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—81no—
1623Q8—81no—
1624Q8—2921no—
1625Q8—2922no—
1626Q8—5841no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—22no—
1632D4—21no—
1633D4—21no—
1634D4—42no—
1635D4—81no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—2921no—
1645D4—2922no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—732no—
1653D4—1462no—
1654D4—1461no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2922no—
1677C2×C4—2921no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2921no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1462no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—5844no—
1743C22—5844no—
1744C22—1462no—
1745C22—1461no—
1746C22—1461no—
1747C22—1461no—
1748C22#1798938612yes—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4H(5,𝔽2)×D7311yescharacteristic
1773C4#1798942311yescharacteristic
1774C2—22no—
1775C2—41no—
1776C2—81no—
1777C2—2922no—
1778C2—2921no—
1779C2—5841no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359411yescharacteristic
1783C2C2×#1798938611yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3316C2
socleC22×C73C23×D4
hypercenter#3316D73
hypocenterC73#61978
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #22623837C2semidirect
2. #22623542C2semidirect
3. #22623000C2semidirect
4. #22622998C2semidirect
5. #22622765C2semidirect
6. #22622757C2semidirect
7. #22622036C2semidirect
8. #22621910C2semidirect
9. #22621908C2semidirect
10. #22621831C2semidirect
11. #22621829C2semidirect
12. #22621635C2semidirect
13. #22621631C2semidirect
14. #22621463C2semidirect
15. #22621459C2semidirect
16. #22621431C2semidirect
17. #22621427C2semidirect
18. #22621299C2semidirect
19. #22621252C2semidirect
20. #22621246C2semidirect
21. #22620961C2semidirect
22. #22620927C2semidirect
23. #22620910C2semidirect
24. #22620091C2semidirect
25. #22620019C2semidirect
26. #22619936C2semidirect
27. #22619394C2semidirect
28. #22619385C2semidirect
29. C2×#17988791C2semidirect
30. #22619051C2semidirect
31. C73×#3316C2semidirect
39. #17989309C22semidirect
40. #17989306C22semidirect
51. #17989248C22semidirect
53. #17989243C22semidirect
54. #17989239C22semidirect
55. #17989236C22semidirect
63. #17989141C22semidirect
64. #17989139C22semidirect
66. #17989136C22semidirect
67. #17989133C22semidirect
68. #17989132C22semidirect
69. C2×#14556589C22semidirect
81. #17988980C22semidirect
82. #17988980C22semidirect
85. #17988972C22semidirect
86. #17988968C22semidirect
87. #17988954C22semidirect
88. #17988954C22semidirect
89. #17988949C22semidirect
90. #17988943C22semidirect
91. #17988940C22semidirect
92. #17988931C22semidirect
93. #17988927C22semidirect
94. #17988917C22semidirect
95. #17988905C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988880C22semidirect
102. #17988876C22semidirect
103. #17988876C22semidirect
104. #17988869C22semidirect
105. #17988843C22semidirect
110. #17988819C22semidirect
111. #17988819C22semidirect
112. #17988818C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988812C22semidirect
116. #17988811C22semidirect
117. #17988809C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988804C22semidirect
124. #17988801C22semidirect
126. #17988795C22semidirect
127. #17988795C22semidirect
132. #17988791C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988791C22semidirect
136. #17988791C22semidirect
137. #17988791C22semidirect
140. #17988785C22semidirect
142. #17988781C22semidirect
143. #17988781C22semidirect
146. #17988747C22semidirect
147. #17988742C22semidirect
150. #17988735C22semidirect
151. #17988735C22semidirect
153. #17988733C22semidirect
154. #17988733C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988698C22semidirect
165. #17988696C22semidirect
166. #17988692C22semidirect
170. #17988674C22semidirect
172. #17988672C22semidirect
173. #17988661C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988586C22semidirect
185. #17988582C22semidirect
186. #17988580C22semidirect
187. C2×#14556514C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
193. #475×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #441×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
900. #3316D73semidirect
924. C73#61978semidirect
985. #489C2×D73semidirect
991. #483C2×D73semidirect
993. #481C2×D73semidirect
1003. #475C2×D73semidirect
1005. #470C2×D73semidirect
1015. #465C2×D73semidirect
1019. #464C2×D73semidirect
1049. #452C2×D73semidirect
1051. #451C2×D73semidirect
1071. #441C2×D73semidirect
1091. #417C2×D73semidirect
1095. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238372
#226235422
#226230002
#226229982
#226227652
#226227572
#226220362
#226219102
#226219082
#226218312
#226218292
#226216352
#226216312
#226214632
#226214592
#226214312
#226214272
#226212992
#226212522
#226212462
#226209612
#226209272
#226209102
#226200912
#226200192
#226199362
#226193942
#226193852
C2×#179887912
#226190512
C73×#33162
#6197873