Finite Group Databasebeta

← #33978881

Subgroups — #33978881

Order 18688.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623554C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622970C211yesmaximal, characteristic, complemented
5#22622746C211yesmaximal, characteristic, complemented
6#22622740C211yesmaximal, characteristic, complemented
7#22622089C211yesmaximal, characteristic, complemented
8#22622087C211yesmaximal, characteristic, complemented
9#22622082C211yesmaximal, characteristic, complemented
10#22622080C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621874C211yesmaximal, characteristic, complemented
13#22621685C211yesmaximal, characteristic, complemented
14#22621684C211yesmaximal, characteristic, complemented
15#22621474C211yesmaximal, characteristic, complemented
16#22621472C211yesmaximal, characteristic, complemented
17#22621465C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621239C211yesmaximal, characteristic, complemented
20#22621237C211yesmaximal, characteristic, complemented
21#22620923C211yesmaximal, characteristic, complemented
22#22620921C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620075C211yesmaximal, characteristic, complemented
26#22619995C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3268C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556614C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36#17989321—21no—
37#17989320C2211yescharacteristic
38#17989319C2211yescharacteristic
39Q8×Dic146C2211yescharacteristic, complemented
40#17989302—21no—
41#17989302C2211yescharacteristic
42#17989301—21no—
43#17989301—21no—
44#17989301C2211yescharacteristic
45#17989301C2211yescharacteristic, complemented
46#17989257—21no—
47#17989257C2211yescharacteristic, complemented
48#17989256C2211yescharacteristic
49#17989256C2211yescharacteristic
50#17989256C2211yescharacteristic, complemented
51#17989255—21no—
52#17989255C2211yescharacteristic
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989227—21no—
57#17989224—21no—
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989139C2211yescharacteristic
62#17989136C2211yescharacteristic
63#17989135—21no—
64#17989135C2211yescharacteristic, complemented
65#17989134C2211yescharacteristic
66#17989133C2211yescharacteristic
67#17989132—21no—
68#17989132—21no—
69#17989132C2211yescharacteristic
70#17989132C2211yescharacteristic
71#17989132C2211yescharacteristic, complemented
72C2×#14556587C2211yescharacteristic
73#17989060—21no—
74#41×Dic73C2211yescharacteristic
75#41×Dic73C2211yescharacteristic, complemented
76C4×#11924029C2211yescharacteristic, complemented
77C4×#11924027—21no—
78C4×#11924027C2211yescharacteristic
79#17988975C2211yescharacteristic, complemented
80#17988974C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988962C2211yescharacteristic
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988932C2211yescharacteristic
90#17988929C2211yescharacteristic
91#17988925C2211yescharacteristic
92#17988914C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988881C2211yescharacteristic, complemented
97#17988880C2211yescharacteristic, complemented
98#17988870C2211yescharacteristic, complemented
99#17988868C2211yescharacteristic, complemented
100#17988867C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic
107#17988833C2211yescharacteristic
108#17988831C2211yescharacteristic
109#17988823C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988785C2211yescharacteristic
131#17988785C2211yescharacteristic
132#17988785C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic
134#17988781C2211yescharacteristic
135#17988781C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988780C2211yescharacteristic
138#17988780C2211yescharacteristic
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic
145#17988735C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic
156#17988721C2211yescharacteristic
157#17988720C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170SD16×Dic73C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic
179#17988610C2211yescharacteristic
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988592C2211yescharacteristic
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027D411yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217#14556616—42no—
218#14556614—42no—
219#14556612—42no—
220#14556611—42no—
221C2×#11924018C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924012C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556591—21no—
241#14556591C2311yescharacteristic
242#14556590—21no—
243#14556590—21no—
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556587—21no—
249#14556587—21no—
250#14556587—21no—
251#14556587—21no—
252#14556587—21no—
253#14556587—21no—
254#14556587C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556581—21no—
261#14556580C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556578—21no—
264#14556578—21no—
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556575—21no—
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556570C2311yescharacteristic
285#14556568—21no—
286#14556566—21no—
287#14556566C2311yescharacteristic
288#14556565—21no—
289#14556565—21no—
290#14556565—21no—
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562—21no—
315#14556562—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556561—21no—
320#14556560—21no—
321#14556559—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556D411yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73D411yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551D411yescharacteristic
365#14556551D411yescharacteristic
366#14556550—21no—
367#14556550—21no—
368#14556550C2311yescharacteristic
369#14556550C2311yescharacteristic
370#14556549—21no—
371#14556549—21no—
372#14556549D411yescharacteristic
373#14556549C2311yescharacteristic
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547D411yescharacteristic
378#14556547D411yescharacteristic
379C2×C22⋊Dic73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—82no—
492#11924027—41no—
493#11924027—41no—
494#11924027—42no—
495#11924027—44no—
496#11924027—82no—
497#11924027—82no—
498#11924027—82no—
499#11924027—82no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146C2×D411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
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—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—44no—
536C2×C22⋊D73—82no—
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73C2×D411yescharacteristic
546C22×Dic73C2×D411yescharacteristic
547C22×Dic73C2×D411yescharacteristic
548C22×Dic73C2×D411yescharacteristic
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2×D411yescharacteristic
558C2×C4×D73C2411yescharacteristic
559#11924018—22no—
560#11924017—41no—
561#11924016—41no—
562#11924016—41no—
563#11924015—22no—
564#11924015—22no—
565#11924015—41no—
566D584—41no—
567D584—41no—
568#11924013—41no—
569#11924013—41no—
570#11924013—41no—
571#11924013—41no—
572#11924013—41no—
573#11924013—41no—
574#11924012—41no—
575C2×#10596831—41no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C8×D73—41no—
581C8×D73—41no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C24×C73—21no—
651#41×C73—22no—
652#41×C73—22no—
653#41×C73—41no—
654#41×C73—41no—
655#41×C73—41no—
656#41×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73C2×D411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73C2411yescharacteristic
680C22×C4×C73C2411yescharacteristic
681Q16×C73—22no—
682SD16×C73—22no—
683SD16×C73—22no—
684SD16×C73—41no—
685SD16×C73—41no—
686D8×C73—41no—
687D8×C73—41no—
688D8×C73—41no—
689D8×C73—41no—
690M16×C73—41no—
691C2×C8×C73—41no—
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73C2×D411yescharacteristic
709C22⋊C4×C73C2×D411yescharacteristic
710C42×C73—21no—
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—42no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73C22×D411yescharacteristic
720C23×C73C22×D411yescharacteristic
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73C22×D411yescharacteristic
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—21no—
731Q8×C73H(5,𝔽2)12yes—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—41no—
741D4×C73—42no—
742D4×C73—42no—
743D4×C73—42no—
744D4×C73—81no—
745D4×C73—81no—
746D4×C73—81no—
747D4×C73—81no—
748D4×C73—81no—
749D4×C73—81no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—42no—
759C2×C4×C73—42no—
760C2×C4×C73—81no—
761C2×C4×C73—81no—
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C2511yescharacteristic
767C22⋊D73—22no—
768C22⋊D73—41no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C2×Dic73—22no—
790C2×Dic73—22no—
791C2×Dic73—22no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—41no—
798C2×Dic73—42no—
799C2×Dic73—42no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—81no—
803C2×Dic73—81no—
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811D292—21no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—21no—
816D292—21no—
817D292—42no—
818D292—81no—
819D292—81no—
820D292—81no—
821C4×D73—21no—
822C4×D73—21no—
823C4×D73—22no—
824C4×D73—41no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832Dic146—22no—
833Dic146—21no—
834Dic146—21no—
835Dic146—42no—
836Dic146—81no—
837Dic146—81no—
838Dic146—81no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—21no—
852C22×C73—21no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—162no—
866C22×C73C23×D411yescharacteristic
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—162no—
880C4×C73—22no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73C2×H(5,𝔽2)11yescharacteristic
889C4×C73#58511yescharacteristic
890Dic73—21no—
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—41no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73#57512yes—
901Dic73#57612yes—
902#61988—731nomaximal, Sylow
903C2×C73—41no—
904C2×C73—41no—
905C2×C73—81no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73#348811yescharacteristic
910C2×C73C2×#57511yescharacteristic
911C2×C73C2×#57611yescharacteristic
912D73—41no—
913D73—81no—
914D73—81no—
915D73—81no—
916#3508—731no—
917#3483—731no—
918#3399—731no—
919#3399—731no—
920#3375—731no—
921#3375—731no—
922#3319—731no—
923#3319—731no—
924#3319—731no—
925#3319—731no—
926#3305—731no—
927#3305—731no—
928#3287—731no—
929#3287—731no—
930#3268—731no—
931#3268—731no—
932#3268—731no—
933#3268D7311yescharacteristic, complemented
934#3254—731no—
935#3245—731no—
936#3245—731no—
937#3214—731no—
938#3214—731no—
939#3205—731no—
940#3115—731no—
941#3115—731no—
942#3107—731no—
943#3038—731no—
944#3035—731no—
945#3035—731no—
946#2990—731no—
947C73#6198811yescharacteristic, complemented, Sylow
948C2×AGL(1,ℤ/8)—731no—
949C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
950C2×#135—731no—
951C2×#135—731no—
952C2×#135—731no—
953C2×#135C2×D7311yescharacteristic, complemented
954#559—731no—
955#559—731no—
956#559—1461no—
957Q82—731no—
958#555—731no—
959#555—731no—
960#555—731no—
961#555—1461no—
962#555—1461no—
963#555—1461no—
964#550—731no—
965#550—731no—
966#550—731no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#550—1461no—
971#550C2×D7311yescharacteristic
972#546—731no—
973#546—731no—
974#546—731no—
975#546—1461no—
976#546—1461no—
977#546C2×D7311yescharacteristic
978#540—1461no—
979#540—1461no—
980#535—1461no—
981#533—731no—
982#532—731no—
983#532—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989#532—1461no—
990#532—1461no—
991#532—1461no—
992C2×#127—731no—
993#518—1461no—
994C4×#41—731no—
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—731no—
998C4×#41—1461no—
999#496—731no—
1000#496—731no—
1001#496—731no—
1002#496C2×D7311yescharacteristic, complemented
1003#493—731no—
1004#493—731no—
1005#489—731no—
1006#489—731no—
1007#489—731no—
1008#489—731no—
1009#486—731no—
1010#486—731no—
1011#485—731no—
1012#485—731no—
1013#482—731no—
1014#482—731no—
1015#482—731no—
1016#482—731no—
1017#477—731no—
1018#477—731no—
1019#475—731no—
1020#474—731no—
1021#474—731no—
1022#474—731no—
1023#474—731no—
1024#474—731no—
1025#474—731no—
1026#474—731no—
1027#468—731no—
1028#468—731no—
1029#468—731no—
1030#468C2×D7311yescharacteristic
1031#466—731no—
1032#466—731no—
1033#466—731no—
1034#466—731no—
1035#466—731no—
1036#466—731no—
1037#466—731no—
1038#466C2×D7311yescharacteristic, complemented
1039#464—731no—
1040#464—731no—
1041#464—731no—
1042#464C2×D7311yescharacteristic, complemented
1043#463—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#462—731no—
1048#461—731no—
1049#461—731no—
1050#461—731no—
1051#460—731no—
1052#460—731no—
1053#460—731no—
1054#460—731no—
1055#460—731no—
1056#460—731no—
1057#459—731no—
1058#459—731no—
1059#459—731no—
1060#459—731no—
1061#459—731no—
1062#459—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459C2×D7311yescharacteristic, complemented
1069#452—731no—
1070#452C2×D7311yescharacteristic
1071#449—731no—
1072#449—731no—
1073#449—731no—
1074#449—731no—
1075#449—731no—
1076#449—731no—
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449C2×D7311yescharacteristic, complemented
1082#449C2×D7311yescharacteristic, complemented
1083#447—731no—
1084#447—731no—
1085#447—731no—
1086#447C2×D7311yescharacteristic
1087#446—731no—
1088#446—731no—
1089#442—731no—
1090#442—731no—
1091#442—731no—
1092#442—731no—
1093#440—731no—
1094#440—731no—
1095#440—731no—
1096#440C2×D7311yescharacteristic, complemented
1097C4×Q16—731no—
1098C4×Q16—731no—
1099C4×SD16—731no—
1100C4×SD16—731no—
1101#435—731no—
1102#435—731no—
1103#435—731no—
1104#435C2×D7311yescharacteristic
1105C8×D4—731no—
1106C8×D4—731no—
1107#432—731no—
1108#432—731no—
1109#431—731no—
1110#423—731no—
1111C2×C4⋊C8—731no—
1112C2×C4⋊C8—731no—
1113#418—731no—
1114#418—731no—
1115#416—731no—
1116#416—731no—
1117#416—731no—
1118#416—731no—
1119C2×#41—731no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C2×#41C22×D7311yescharacteristic
1131C2×#41C22×D7311yescharacteristic
1132C2×#41C22×D7311yescharacteristic
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4C22×D7311yescharacteristic
1137AGL(1,ℤ/8)—42no—
1138AGL(1,ℤ/8)—2922no—
1139#135—42no—
1140#135—2922no—
1141#135—2922no—
1142#135—2922no—
1143C2×Q16—731no—
1144C2×Q16C22×D7311yescharacteristic
1145C2×SD16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16C22×D7311yescharacteristic
1152C2×SD16C22×D7311yescharacteristic
1153C2×SD16C22×D7311yescharacteristic
1154C2×SD16C22×D7311yescharacteristic
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8C22×D7311yescharacteristic
1164C2×D8C22×D7311yescharacteristic
1165C2×D8C22×D7311yescharacteristic
1166C2×D8C22×D7311yescharacteristic
1167C2×M16—731no—
1168C2×M16C22×D7311yescharacteristic
1169C22×C8—731no—
1170C22×C8—731no—
1171C22×C8—731no—
1172C22×C8C22×D7311yescharacteristic
1173C4⋊Q8—731no—
1174C4⋊Q8—731no—
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8—731no—
1178C4⋊Q8—1461no—
1179C4⋊Q8—1461no—
1180C4⋊Q8—1461no—
1181#127—21no—
1182#127—731no—
1183#127—731no—
1184#127—731no—
1185#127—731no—
1186#127—731no—
1187#127—731no—
1188#127—1461no—
1189#127—1461no—
1190#127—1461no—
1191#127—1461no—
1192#127—1461no—
1193#127—1461no—
1194#127C22×D7311yescharacteristic
1195#125—1461no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—1461no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124—1461no—
1206#124—1461no—
1207#124—1461no—
1208#124—1461no—
1209#124—1461no—
1210#124—1461no—
1211#124—1461no—
1212#124C22×D7311yescharacteristic
1213#123—21no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221C22⋊Q8—731no—
1222C22⋊Q8—1461no—
1223C22⋊Q8C22×D7311yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—731no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121C22×D7311yescharacteristic
1261#121C22×D7311yescharacteristic
1262#121C22×D7311yescharacteristic
1263#120—21no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267C4×Q8—731no—
1268C4×Q8—731no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—731no—
1274C4×Q8—1461no—
1275C4×Q8—1461no—
1276C4×Q8C22×D7311yescharacteristic
1277C4×D4—21no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—731no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4C22×D7311yescharacteristic
1314C4×D4C22×D7311yescharacteristic
1315#117—731no—
1316#117—731no—
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—731no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117—1461no—
1325#117—1461no—
1326#117—1461no—
1327#117—1461no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C42—731no—
1333C2×C42—731no—
1334C2×C42—731no—
1335C2×C42—1461no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338#107—731no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107C22×D7311yescharacteristic
1344#106—731no—
1345#106—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8C22×D7311yescharacteristic
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103C22×D7311yescharacteristic
1365#103C22×D7311yescharacteristic
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388C22⋊C8—731no—
1389C22⋊C8—731no—
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8C22×D7311yescharacteristic
1393C22⋊C8C22×D7311yescharacteristic
1394#97—731no—
1395#97—731no—
1396#97—731no—
1397#97C22×D7311yescharacteristic
1398C4×C8—731no—
1399C4×C8—731no—
1400C24—21no—
1401C24—1461no—
1402#41—22no—
1403#41—22no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—41no—
1408#41—2921no—
1409#41—2921no—
1410#41—2924no—
1411#41—2922no—
1412#41—2921no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—2921no—
1417#41—5842no—
1418#41—5842no—
1419#41—5842no—
1420#41—5842no—
1421#41—5842no—
1422#41—1462no—
1423C2×Q8—731no—
1424C2×Q8—731no—
1425C2×Q8—1461no—
1426C2×Q8—1461no—
1427C2×Q8—1461no—
1428C2×Q8—1461no—
1429C2×Q8C23×D7311yescharacteristic
1430C2×Q8C23×D7311yescharacteristic
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2924no—
1445C2×D4—5842no—
1446C2×D4—731no—
1447C2×D4—731no—
1448C2×D4—731no—
1449C2×D4—731no—
1450C2×D4—731no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4D4×D7311yescharacteristic
1476C2×D4C23×D7311yescharacteristic
1477C2×D4C23×D7311yescharacteristic
1478C2×D4C23×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4C23×D7311yescharacteristic
1505C22×C4C23×D7311yescharacteristic
1506Q16—22no—
1507Q16—1462no—
1508SD16—22no—
1509SD16—22no—
1510SD16—41no—
1511SD16—41no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—2921no—
1515SD16—2921no—
1516SD16—1462no—
1517SD16—1462no—
1518D8—41no—
1519D8—41no—
1520D8—41no—
1521D8—41no—
1522D8—2921no—
1523D8—2921no—
1524D8—2921no—
1525D8—2921no—
1526D8—2921no—
1527D8—2921no—
1528D8—2921no—
1529D8—2921no—
1530M16—41no—
1531M16—2921no—
1532C2×C8—41no—
1533C2×C8—2921no—
1534C2×C8—2921no—
1535C2×C8—2921no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8—731no—
1539C2×C8—731no—
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C2×C8C23×D7311yescharacteristic
1543C2×C8C23×D7311yescharacteristic
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4D4×D7311yescharacteristic
1568C4⋊C4C23×D7311yescharacteristic
1569C4⋊C4C23×D7311yescharacteristic
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—731no—
1580C22⋊C4—731no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4D4×D7311yescharacteristic
1608C22⋊C4D4×D7311yescharacteristic
1609C42—21no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—1461no—
1620C42—1461no—
1621C42—1461no—
1622C42—1461no—
1623C42—1461no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42C23×D7311yescharacteristic
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—42no—
1633C23—81no—
1634C23—81no—
1635C23—2922no—
1636C23—5841no—
1637C23—5841no—
1638C23—731no—
1639C23—1461no—
1640C23—1461no—
1641C23—1461no—
1642C23C2×D4×D7311yescharacteristic
1643C23C2×D4×D7311yescharacteristic
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—2922no—
1648Q8—5841no—
1649Q8—5841no—
1650Q8—5841no—
1651Q8—1462no—
1652Q8—1461no—
1653Q8—1461no—
1654Q8#1455663612yes—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—41no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2921no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—1462no—
1699D4—1461no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2921no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2921no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—1462no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1462no—
1746C2×C4—1462no—
1747C2×C4—1462no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C2×D4×D7311yescharacteristic
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C24×D7311yescharacteristic
1755C8—21no—
1756C8—21no—
1757C8—21no—
1758C8—21no—
1759C8—1461no—
1760C8—1461no—
1761C8—1461no—
1762C8—1461no—
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—21no—
1767C22—21no—
1768C22—21no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—162no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—11682no—
1792C22—1461no—
1793C22—1461no—
1794C22—1461no—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—22no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—2921no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—732no—
1810C4—732no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#1455663611yescharacteristic
1817C4#1798942211yescharacteristic
1818C2—41no—
1819C2—41no—
1820C2—81no—
1821C2—81no—
1822C2—81no—
1823C2—81no—
1824C2—2921no—
1825C2—5841no—
1826C2—5841no—
1827C2—5841no—
1828C2#2262359111yescharacteristic
1829C2#575×D7311yescharacteristic
1830C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3268C2
socleC22×C73C23×D4
hypercenter#3268D73
hypocenterC73#61988
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623554C2semidirect
3. #22622976C2semidirect
4. #22622970C2semidirect
5. #22622746C2semidirect
6. #22622740C2semidirect
7. #22622089C2semidirect
8. #22622087C2semidirect
9. #22622082C2semidirect
10. #22622080C2semidirect
11. #22621876C2semidirect
12. #22621874C2semidirect
13. #22621685C2semidirect
14. #22621684C2semidirect
15. #22621474C2semidirect
16. #22621472C2semidirect
17. #22621465C2semidirect
18. #22621313C2semidirect
19. #22621239C2semidirect
20. #22621237C2semidirect
21. #22620923C2semidirect
22. #22620921C2semidirect
23. #22620847C2semidirect
24. #22620080C2semidirect
25. #22620075C2semidirect
26. #22619995C2semidirect
27. #22619409C2semidirect
28. #22619385C2semidirect
29. #22619382C2semidirect
30. #22619051C2semidirect
31. C73×#3268C2semidirect
33. C2×#14556614C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556611C22semidirect
39. Q8×Dic146C22semidirect
45. #17989301C22semidirect
47. #17989257C22semidirect
50. #17989256C22semidirect
64. #17989135C22semidirect
71. #17989132C22semidirect
75. #41×Dic73C22semidirect
76. C4×#11924029C22semidirect
79. #17988975C22semidirect
80. #17988974C22semidirect
81. #17988973C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
92. #17988914C22semidirect
93. #17988912C22semidirect
94. #17988910C22semidirect
95. #17988908C22semidirect
96. #17988881C22semidirect
97. #17988880C22semidirect
98. #17988870C22semidirect
99. #17988868C22semidirect
100. #17988867C22semidirect
101. #17988866C22semidirect
102. #17988866C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
109. #17988823C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988820C22semidirect
115. #17988820C22semidirect
116. #17988811C22semidirect
117. #17988809C22semidirect
118. #17988807C22semidirect
119. #17988804C22semidirect
120. #17988803C22semidirect
121. #17988800C22semidirect
122. #17988799C22semidirect
123. #17988795C22semidirect
124. #17988791C22semidirect
125. #17988790C22semidirect
126. #17988790C22semidirect
127. #17988786C22semidirect
132. #17988785C22semidirect
135. #17988781C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
145. #17988735C22semidirect
146. #17988734C22semidirect
147. #17988732C22semidirect
148. #17988732C22semidirect
149. #17988731C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988730C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988697C22semidirect
163. #17988696C22semidirect
164. #17988690C22semidirect
165. #17988688C22semidirect
166. #17988685C22semidirect
167. Q16×Dic73C22semidirect
168. #17988679C22semidirect
169. #17988678C22semidirect
170. SD16×Dic73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
189. C2×#135×C73C22semidirect
192. #496×C73C22semidirect
194. #466×C73C22semidirect
195. #464×C73C22semidirect
196. #459×C73C22semidirect
198. #449×C73C22semidirect
199. #449×C73C22semidirect
201. #440×C73C22semidirect
933. #3268D73semidirect
947. C73#61988semidirect
953. C2×#135C2×D73semidirect
1002. #496C2×D73semidirect
1038. #466C2×D73semidirect
1042. #464C2×D73semidirect
1068. #459C2×D73semidirect
1081. #449C2×D73semidirect
1082. #449C2×D73semidirect
1096. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235542
#226229762
#226229702
#226227462
#226227402
#226220892
#226220872
#226220822
#226220802
#226218762
#226218742
#226216852
#226216842
#226214742
#226214722
#226214652
#226213132
#226212392
#226212372
#226209232
#226209212
#226208472
#226200802
#226200752
#226199952
#226194092
#226193852
#226193822
#226190512
C73×#32682
#6198873