Finite Group Databasebeta

← #33982796

Subgroups — #33982796

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624570C211yesmaximal, characteristic, complemented
2#22623888C211yesmaximal, characteristic, complemented
3#22622851C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622704C211yesmaximal, characteristic, complemented
6#22622682C211yesmaximal, characteristic, complemented
7#22622477C211yesmaximal, characteristic, complemented
8#22622459C211yesmaximal, characteristic, complemented
9#22622427C211yesmaximal, characteristic, complemented
10#22622349C211yesmaximal, characteristic, complemented
11#22622337C211yesmaximal, characteristic, complemented
12#22622089C211yesmaximal, characteristic, complemented
13#22622070C211yesmaximal, characteristic, complemented
14#22621973C211yesmaximal, characteristic, complemented
15#22621947C211yesmaximal, characteristic, complemented
16#22621784C211yesmaximal, characteristic, complemented
17#22621760C211yesmaximal, characteristic, complemented
18#22621400C211yesmaximal, characteristic, complemented
19#22621388C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22621225C211yesmaximal, characteristic, complemented
22#22621215C211yesmaximal, characteristic, complemented
23#22621126C211yesmaximal, characteristic, complemented
24#22620119C211yesmaximal, characteristic, complemented
25#22620118C211yesmaximal, characteristic, complemented
26#22620043C211yesmaximal, characteristic, complemented
27#22619760C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619717C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3348C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989320C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989305—21no—
38#17989305C2211yescharacteristic
39#17989302C2211yescharacteristic, complemented
40#17989300C2211yescharacteristic
41#17989293C2211yescharacteristic, complemented
42#17989285C2211yescharacteristic
43#17989281C2211yescharacteristic, complemented
44#17989275—21no—
45#17989271C2211yescharacteristic
46#17989267—21no—
47#17989261—21no—
48#17989252C2211yescharacteristic
49#17989245—21no—
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989226—21no—
53#17989221C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989211C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989208—21no—
60#17989204C2211yescharacteristic
61#17989203—21no—
62#17989196—21no—
63#17989180—21no—
64#17989171—21no—
65#17989169—21no—
66#17989140C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989115—21no—
71#124×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988990C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic
81#17988950C2211yescharacteristic
82#17988947C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988944C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic
98#17988908C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic
105#17988890C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic
107#17988886C2211yescharacteristic
108#17988886C2211yescharacteristic, complemented
109#17988885C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic
111#17988881C2211yescharacteristic, complemented
112#17988880C2211yescharacteristic, complemented
113#17988880C2211yescharacteristic, complemented
114#17988877C2211yescharacteristic, complemented
115#17988876C2211yescharacteristic
116#17988876C2211yescharacteristic
117#17988876C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988875C2211yescharacteristic, complemented
120#17988874C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988868C2211yescharacteristic
123#17988866C2211yescharacteristic
124#17988866C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988866C2211yescharacteristic, complemented
127#17988865C2211yescharacteristic, complemented
128#17988844C2211yescharacteristic, complemented
129#17988841C2211yescharacteristic
130#17988833C2211yescharacteristic, complemented
131#17988826C2211yescharacteristic, complemented
132#17988823C2211yescharacteristic, complemented
133#17988821C2211yescharacteristic
134#17988821C2211yescharacteristic, complemented
135#17988819C2211yescharacteristic
136#17988818C2211yescharacteristic, complemented
137#17988817C2211yescharacteristic, complemented
138#17988812C2211yescharacteristic, complemented
139#17988809C2211yescharacteristic, complemented
140#17988807C2211yescharacteristic, complemented
141#17988805C2211yescharacteristic
142#17988805C2211yescharacteristic, complemented
143#17988804C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988785C2211yescharacteristic
147#17988781C2211yescharacteristic
148#17988747C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988734C2211yescharacteristic
152#17988723C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988698C2211yescharacteristic, complemented
159#17988691C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic
161#17988690C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163C4×#11924015C2211yescharacteristic
164#17988672C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167#17988658C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic
169#17988655C2211yescharacteristic
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988626C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#17988623C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988581C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#555×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#485×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#481×C73C2211yescharacteristic
195#478×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924015C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C22×#10596831C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556591C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556587C2311yescharacteristic
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586D411yescharacteristic
236#14556585—21no—
237#14556585—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584D411yescharacteristic
244#14556582—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581D411yescharacteristic
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556575D411yescharacteristic
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572D411yescharacteristic
284#14556571—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568D411yescharacteristic
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563D411yescharacteristic
316#14556562—21no—
317#14556562—21no—
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329#14556556—21no—
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556549—21no—
359#14556549—21no—
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548C2311yescharacteristic
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73C2311yescharacteristic
375C42×D73—21no—
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#124×C73—21no—
443#124×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73—21no—
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—41no—
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73C2411yescharacteristic
527#11924018—41no—
528#11924017—41no—
529#11924015—22no—
530#11924015—41no—
531D584—22no—
532D584—41no—
533#11924013—41no—
534#11924011—41no—
535C2×#10596831—41no—
536C2×#10596831—41no—
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C8×D73—41no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73C2×D411yescharacteristic
584C22⋊Dic73C2×D411yescharacteristic
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2411yescharacteristic
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73C2×D411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636SD16×C73—41no—
637M16×C73—41no—
638C2×C8×C73—41no—
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—41no—
691D4×C73—81no—
692D4×C73—81no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C2511yescharacteristic
711C22⋊D73—41no—
712C22⋊D73—41no—
713C22⋊D73—42no—
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—41no—
726C2×Dic73—41no—
727C2×Dic73—81no—
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735D292—21no—
736D292—21no—
737D292—21no—
738D292—21no—
739D292—21no—
740D292—42no—
741D292—81no—
742D292—81no—
743D2922−1+412yes—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—42no—
747C4×D73—42no—
748C4×D73—81no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757Dic146—21no—
758Dic146—21no—
759Dic146—41no—
760Dic146—42no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—21no—
779C22×C73—21no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—22no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—42no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348D7311yescharacteristic, complemented
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555C2×D7311yescharacteristic
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—1461no—
881#552C2×D7311yescharacteristic, complemented
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501C2×D7311yescharacteristic, complemented
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485C2×D7311yescharacteristic, complemented
927#485C2×D7311yescharacteristic, complemented
928#484—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482C2×D7311yescharacteristic, complemented
939#481C2×D7311yescharacteristic
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478C2×D7311yescharacteristic, complemented
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475C2×D7311yescharacteristic, complemented
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468C2×D7311yescharacteristic
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465C2×D7311yescharacteristic, complemented
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440C2×D7311yescharacteristic, complemented
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435C2×D7311yescharacteristic, complemented
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428C2×D7311yescharacteristic, complemented
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16C22×D7311yescharacteristic
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065C4⋊Q8—1461no—
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—21no—
1069#126—731no—
1070#126—731no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—21no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#124—21no—
1096#124—21no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—731no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#123—21no—
1114#123—731no—
1115#123—731no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—731no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106C22×D7311yescharacteristic
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—5842no—
1319C2×Q8—731no—
1320C2×Q8—731no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—2921no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1462no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1462no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4D4×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381C2×C8—41no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4D4×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—5841no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—2921no—
1523Q8—2922no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—2922no—
1537D4—2922no—
1538D4—2921no—
1539D4—2921no—
1540D4—2922no—
1541D4—2922no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—732no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2922no—
1568C2×C4—2922no—
1569C2×C4—2921no—
1570C2×C4—2921no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—731no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—11682no—
1626C22—11682no—
1627C22—1462no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360511yescharacteristic
1665C2#2262470411yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3348C2
socleC22×C73C23×D4
hypercenter#3348D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #22624570C2semidirect
2. #22623888C2semidirect
3. #22622851C2semidirect
4. #22622827C2semidirect
5. #22622704C2semidirect
6. #22622682C2semidirect
7. #22622477C2semidirect
8. #22622459C2semidirect
9. #22622427C2semidirect
10. #22622349C2semidirect
11. #22622337C2semidirect
12. #22622089C2semidirect
13. #22622070C2semidirect
14. #22621973C2semidirect
15. #22621947C2semidirect
16. #22621784C2semidirect
17. #22621760C2semidirect
18. #22621400C2semidirect
19. #22621388C2semidirect
20. #22621252C2semidirect
21. #22621225C2semidirect
22. #22621215C2semidirect
23. #22621126C2semidirect
24. #22620119C2semidirect
25. #22620118C2semidirect
26. #22620043C2semidirect
27. #22619760C2semidirect
28. #22619759C2semidirect
29. #22619717C2semidirect
30. #22619071C2semidirect
31. C73×#3348C2semidirect
35. #17989316C22semidirect
36. #17989308C22semidirect
39. #17989302C22semidirect
41. #17989293C22semidirect
43. #17989281C22semidirect
54. #17989218C22semidirect
55. #17989217C22semidirect
57. #17989210C22semidirect
58. #17989209C22semidirect
66. #17989140C22semidirect
68. #17989123C22semidirect
75. #17988995C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988990C22semidirect
79. #17988984C22semidirect
82. #17988947C22semidirect
83. #17988945C22semidirect
84. #17988944C22semidirect
85. #17988940C22semidirect
86. #17988931C22semidirect
87. #17988929C22semidirect
88. #17988926C22semidirect
89. #17988924C22semidirect
90. #17988917C22semidirect
91. #17988914C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988911C22semidirect
96. #17988911C22semidirect
98. #17988908C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988893C22semidirect
105. #17988890C22semidirect
108. #17988886C22semidirect
109. #17988885C22semidirect
111. #17988881C22semidirect
112. #17988880C22semidirect
113. #17988880C22semidirect
114. #17988877C22semidirect
117. #17988876C22semidirect
118. #17988876C22semidirect
119. #17988875C22semidirect
120. #17988874C22semidirect
121. #17988871C22semidirect
124. #17988866C22semidirect
125. #17988866C22semidirect
126. #17988866C22semidirect
127. #17988865C22semidirect
128. #17988844C22semidirect
130. #17988833C22semidirect
131. #17988826C22semidirect
132. #17988823C22semidirect
134. #17988821C22semidirect
136. #17988818C22semidirect
137. #17988817C22semidirect
138. #17988812C22semidirect
139. #17988809C22semidirect
140. #17988807C22semidirect
142. #17988805C22semidirect
143. #17988804C22semidirect
144. #17988803C22semidirect
145. #17988801C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
158. #17988698C22semidirect
159. #17988691C22semidirect
162. #17988686C22semidirect
164. #17988672C22semidirect
166. C4×#11924013C22semidirect
167. #17988658C22semidirect
170. D4×#10596831C22semidirect
171. #17988650C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988626C22semidirect
176. #17988624C22semidirect
177. #17988623C22semidirect
178. #17988623C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
189. #552×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #485×C73C22semidirect
193. #482×C73C22semidirect
195. #478×C73C22semidirect
196. #475×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
842. #3348D73semidirect
865. C73#62159semidirect
881. #552C2×D73semidirect
914. #501C2×D73semidirect
926. #485C2×D73semidirect
927. #485C2×D73semidirect
938. #482C2×D73semidirect
952. #478C2×D73semidirect
964. #475C2×D73semidirect
982. #465C2×D73semidirect
1008. #440C2×D73semidirect
1016. #435C2×D73semidirect
1023. #428C2×D73semidirect
1027. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245702
#226238882
#226228512
#226228272
#226227042
#226226822
#226224772
#226224592
#226224272
#226223492
#226223372
#226220892
#226220702
#226219732
#226219472
#226217842
#226217602
#226214002
#226213882
#226212522
#226212252
#226212152
#226211262
#226201192
#226201182
#226200432
#226197602
#226197592
#226197172
#226190712
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