Finite Group Databasebeta

← #33982931

Subgroups — #33982931

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624535C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic
3#22622874C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622659C211yesmaximal, characteristic, complemented
7#22622450C211yesmaximal, characteristic, complemented
8#22622447C211yesmaximal, characteristic, complemented
9#22622412C211yesmaximal, characteristic, complemented
10#22622308C211yesmaximal, characteristic, complemented
11#22622304C211yesmaximal, characteristic, complemented
12#22621958C211yesmaximal, characteristic, complemented
13#22621954C211yesmaximal, characteristic, complemented
14#22621950C211yesmaximal, characteristic, complemented
15#22621947C211yesmaximal, characteristic, complemented
16#22621753C211yesmaximal, characteristic, complemented
17#22621749C211yesmaximal, characteristic, complemented
18#22621376C211yesmaximal, characteristic, complemented
19#22621373C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22621185C211yesmaximal, characteristic, complemented
22#22621180C211yesmaximal, characteristic, complemented
23#22621120C211yesmaximal, characteristic, complemented
24#22620182C211yesmaximal, characteristic, complemented
25#22620179C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22619760C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29C2×#17988890C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3346C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989338—21no—
34#17989313C2211yescharacteristic, complemented
35#17989312C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic
37#17989293C2211yescharacteristic
38#17989292C2211yescharacteristic, complemented
39#17989288—21no—
40#17989285C2211yescharacteristic
41#17989279—21no—
42#17989279C2211yescharacteristic, complemented
43#17989277—21no—
44#17989277C2211yescharacteristic, complemented
45#17989272C2211yescharacteristic, complemented
46#17989271C2211yescharacteristic, complemented
47#17989258C2211yescharacteristic
48#17989232—21no—
49#17989229—21no—
50#17989226—21no—
51D4×D292C2211yescharacteristic
52#17989221C2211yescharacteristic
53#17989221C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989216—21no—
56#17989214C2211yescharacteristic, complemented
57#17989197—21no—
58#17989197C2211yescharacteristic, complemented
59#17989196—21no—
60#17989195C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989179—21no—
64#17989176—21no—
65#17989173—21no—
66#17989139C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69C2×#14556582C2211yescharacteristic, complemented
70#17989096—21no—
71#121×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988935C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic
105#17988890C2211yescharacteristic
106#17988890C2211yescharacteristic
107#17988890C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988890C2211yescharacteristic, complemented
110#17988890C2211yescharacteristic, complemented
111#17988890C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic
113#17988887C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic
115#17988886C2211yescharacteristic, complemented
116#17988886C2211yescharacteristic, complemented
117#17988885C2211yescharacteristic, complemented
118#17988885C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic
120#17988876C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic, complemented
122#17988874C2211yescharacteristic
123#17988871C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic
126#17988866C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988836C2211yescharacteristic, complemented
129#17988834C2211yescharacteristic, complemented
130#17988833C2211yescharacteristic, complemented
131#17988819C2211yescharacteristic, complemented
132#17988818C2211yescharacteristic, complemented
133#17988818C2211yescharacteristic, complemented
134#17988817C2211yescharacteristic, complemented
135#17988816C2211yescharacteristic, complemented
136#17988814C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic, complemented
138#17988791C2211yescharacteristic
139#17988791C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic, complemented
142#17988788C2211yescharacteristic, complemented
143#17988787C2211yescharacteristic, complemented
144#17988786C2211yescharacteristic, complemented
145#17988786C2211yescharacteristic, complemented
146#17988785C2211yescharacteristic, complemented
147#17988785C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988737C2211yescharacteristic
152#17988737C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic
157#17988690C2211yescharacteristic
158#17988690C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic
160#17988686C2211yescharacteristic
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163C4×#11924015C2211yescharacteristic
164#17988674C2211yescharacteristic
165C4×#11924016C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167#17988658C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178C2×#14556522C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184C2×#14556513C2211yescharacteristic
185C2×#14556511C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027—21no—
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556590—21no—
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556589—21no—
229#14556589—21no—
230#14556589C2311yescharacteristic
231#14556588C2311yescharacteristic
232#14556587C2311yescharacteristic
233#14556587C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586D411yescharacteristic
239#14556585—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584D411yescharacteristic
245#14556583—21no—
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582—21no—
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556582C2311yescharacteristic
259#14556582C2311yescharacteristic
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581D411yescharacteristic
271#14556579—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577D411yescharacteristic
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556575—21no—
279#14556575—21no—
280#14556575D411yescharacteristic
281#14556574—21no—
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563D411yescharacteristic
318#14556562—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365C2×C4⋊Dic73—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556522C2311yescharacteristic
384#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
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#123×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×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—
480C23×D73—21no—
481#11924028—82no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146C2×D411yescharacteristic
487C2×Dic146C2411yescharacteristic
488C2×D292—22no—
489C2×D292—22no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—41no—
497C2×D292—41no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
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⋊D73—21no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512D4×D73—82no—
513D4×D73—82no—
514D4×D73—82no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
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×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—82no—
529C2×C4×D73C2411yescharacteristic
530#11924017—22no—
531#11924017—41no—
532#11924017—41no—
533#11924016—41no—
534#11924015—22no—
535#11924015—41no—
536#11924015—41no—
537#11924011—41no—
538C2×#10596831—41no—
539C2×#10596831—41no—
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C8×D73—41no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73C2411yescharacteristic
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73C2×D411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—41no—
642M16×C73—41no—
643C2×C8×C73—41no—
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73C22×D411yescharacteristic
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—42no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73—81no—
688C22×D73—81no—
689C22×D73—81no—
690C22×D73C22×D411yescharacteristic
691Q8×C73—21no—
692Q8×C73—21no—
693Q8×C73—81no—
694D4×C73—22no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—42no—
698D4×C73—81no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73—81no—
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C2511yescharacteristic
719C22⋊D73—22no—
720C22⋊D73—41no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C22⋊D73—81no—
728C2×Dic73—22no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—41no—
735C2×Dic73—42no—
736C2×Dic73—81no—
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744D292—21no—
745D292—21no—
746D292—21no—
747D292—21no—
748D292—21no—
749D292—42no—
750D292—42no—
751D292—81no—
752D292—81no—
753D292—81no—
754D292—81no—
755D2922−1+412yes—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—42no—
759C4×D73—42no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767Dic146—21no—
768Dic146—21no—
769Dic146—41no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73#57712yes—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
794C2×D73—21no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73—162no—
805C2×D73—162no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831#62164—731nomaximal, Sylow
832C2×C73—22no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—41no—
839D73—42no—
840D73—81no—
841D73—81no—
842#3563—731no—
843#3519—731no—
844#3388—731no—
845#3388—731no—
846#3368—731no—
847#3368—731no—
848#3348—731no—
849#3348—731no—
850#3346—731no—
851#3346D7311yescharacteristic, complemented
852#3337—731no—
853#3337—731no—
854#3310—731no—
855#3310—731no—
856#3310—731no—
857#3310—731no—
858#3295—731no—
859#3295—731no—
860#3260—731no—
861#3260—731no—
862#3246—731no—
863#3241—731no—
864#3241—731no—
865#3234—731no—
866#3123—731no—
867#3123—731no—
868#3110—731no—
869#3081—731no—
870#3081—731no—
871C2×#478—731no—
872#2992—731no—
873C73#6216411yescharacteristic, complemented, Sylow
874#564—1461no—
875#563—1461no—
876#557—731no—
877#557—731no—
878#555—731no—
879#554—731no—
880#554—731no—
881#554C2×D7311yescharacteristic, complemented
882#553—731no—
883#553—1461no—
884#553C2×D7311yescharacteristic
885#552—731no—
886#552—731no—
887#552—731no—
888#552—731no—
889#552—1461no—
890#552—1461no—
891#550—731no—
892#546—1461no—
893#546—1461no—
894#546—1461no—
895D42—731no—
896D42—731no—
897D42—731no—
898#544—731no—
899#544—731no—
900#544—1461no—
901#541—731no—
902#541—731no—
903#541—1461no—
904#541—1461no—
905#540—731no—
906#540—731no—
907#539—1461no—
908#538—1461no—
909#538—1461no—
910#533—731no—
911#532—731no—
912#529—731no—
913C2×#125—731no—
914#525—1461no—
915C2×#121—1461no—
916#518—731no—
917#518—731no—
918C2×C4×D4—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#501C2×D7311yescharacteristic, complemented
923#499—731no—
924#499—731no—
925#490—731no—
926#490—731no—
927#490—731no—
928#490—731no—
929#486—731no—
930#486—731no—
931#485—731no—
932#485—731no—
933#485—731no—
934#485C2×D7311yescharacteristic, complemented
935#484—731no—
936#484C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481C2×D7311yescharacteristic, complemented
945#480—731no—
946#480—731no—
947#480—731no—
948#480C2×D7311yescharacteristic, complemented
949#479—731no—
950#479—731no—
951#479—731no—
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#476—731no—
970#476—731no—
971#476—731no—
972#476—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474C2×D7311yescharacteristic, complemented
979#468—731no—
980#468—731no—
981#468—731no—
982#468C2×D7311yescharacteristic, complemented
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465C2×D7311yescharacteristic, complemented
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#460—731no—
998#460—731no—
999#460—731no—
1000#460—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#446—731no—
1008#446—731no—
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440C2×D7311yescharacteristic, complemented
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16—731no—
1020C4×SD16—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024#435C2×D7311yescharacteristic, complemented
1025C8×D4—731no—
1026C8×D4—731no—
1027#433—731no—
1028#433—731no—
1029#432—731no—
1030#428—731no—
1031#428C2×D7311yescharacteristic, complemented
1032#427—731no—
1033#427—731no—
1034C2×#107C2×D7311yescharacteristic, complemented
1035C2×#106—731no—
1036#424—731no—
1037#424—731no—
1038C2×C4⋊C8—731no—
1039#418—731no—
1040#418—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#102—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×D4—731no—
1048C22×D4—731no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4—1461no—
1052C22×D4—1461no—
1053C23×C4—1461no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×SD16—731no—
1059C2×SD16—731no—
1060C2×SD16—731no—
1061C2×SD16C22×D7311yescharacteristic
1062C2×M16—731no—
1063C2×M16C22×D7311yescharacteristic
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C22×C8C22×D7311yescharacteristic
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8C22×D7311yescharacteristic
1077#127—731no—
1078#127—731no—
1079#127—731no—
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#125—21no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—731no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#125—1461no—
1116#125—1461no—
1117#125—1461no—
1118#125—1461no—
1119#125C22×D7311yescharacteristic
1120#124—731no—
1121#124—1461no—
1122#124—1461no—
1123#124—1461no—
1124#123—21no—
1125#123—731no—
1126#123—731no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155#121—21no—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#120—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181#120—1461no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8—1461no—
1191C4×Q8C22×D7311yescharacteristic
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—731no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—731no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117C22×D7311yescharacteristic
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C4⋊C4C22×D7311yescharacteristic
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C22⋊C4—1461no—
1241C2×C42—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107C22×D7311yescharacteristic
1249#107C22×D7311yescharacteristic
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265#106C22×D7311yescharacteristic
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8—731no—
1275C4⋊C8C22×D7311yescharacteristic
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
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#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8C22×D7311yescharacteristic
1313C22⋊C8C22×D7311yescharacteristic
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317#97C22×D7311yescharacteristic
1318C4×C8—731no—
1319C4×C8—731no—
1320C24—1461no—
1321C24—1461no—
1322C24—1461no—
1323#41—5842no—
1324#41—5842no—
1325C2×Q8—21no—
1326C2×Q8—731no—
1327C2×Q8—731no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—2921no—
1335C2×D4—2921no—
1336C2×D4—2921no—
1337C2×D4—5842no—
1338C2×D4—5842no—
1339C2×D4—5842no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—1462no—
1346C2×D4—1462no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4D4×D7311yescharacteristic
1362C2×D4C23×D7311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—5842no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4C23×D7311yescharacteristic
1383C22×C4C23×D7311yescharacteristic
1384SD16—41no—
1385SD16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390SD16—1462no—
1391SD16—1462no—
1392M16—41no—
1393M16—2921no—
1394C2×C8—41no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—731no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4D4×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C4⋊C4C23×D7311yescharacteristic
1464C4⋊C4C23×D7311yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—731no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1500C22⋊C4D4×D7311yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42—1461no—
1516C42C23×D7311yescharacteristic
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—5841no—
1525C23—5841no—
1526C23—5841no—
1527C23—731no—
1528C23—1461no—
1529C23—1461no—
1530C23—1461no—
1531C23C2×D4×D7311yescharacteristic
1532C23C2×D4×D7311yescharacteristic
1533Q8—21no—
1534Q8—21no—
1535Q8—81no—
1536Q8—2921no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—81no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2921no—
1551D4—2922no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—5841no—
1560D4—5841no—
1561D4—732no—
1562D4—1462no—
1563D4—1461no—
1564D4—1461no—
1565D4—1461no—
1566D4—1461no—
1567D4—1461no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—2922no—
1584C2×C4—2922no—
1585C2×C4—2922no—
1586C2×C4—2921no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—5841no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—731no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1462no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C2×D4×D7311yescharacteristic
1614C2×C4C24×D7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C8—1461no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—5844no—
1640C22—11682no—
1641C22—11682no—
1642C22—1461no—
1643C22—1462no—
1644C22—1461no—
1645C22—1461no—
1646C22#1798939612yes—
1647C22C22×D4×D7311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4—1461no—
1670C4—1461no—
1671C42−1+4×D7311yescharacteristic
1672C4#1798942311yescharacteristic
1673C2—22no—
1674C2—41no—
1675C2—81no—
1676C2—2922no—
1677C2—2921no—
1678C2—5841no—
1679C2—5841no—
1680C2#2262360511yescharacteristic
1681C2C2×#1798939611yescharacteristic
1682C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3346C2
socleC22×C73C23×D4
prime radical#22623959C2
hypercenter#3346D73
hypocenterC73#62164
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #22624535C2semidirect
3. #22622874C2semidirect
4. #22622871C2semidirect
5. #22622661C2semidirect
6. #22622659C2semidirect
7. #22622450C2semidirect
8. #22622447C2semidirect
9. #22622412C2semidirect
10. #22622308C2semidirect
11. #22622304C2semidirect
12. #22621958C2semidirect
13. #22621954C2semidirect
14. #22621950C2semidirect
15. #22621947C2semidirect
16. #22621753C2semidirect
17. #22621749C2semidirect
18. #22621376C2semidirect
19. #22621373C2semidirect
20. #22621242C2semidirect
21. #22621185C2semidirect
22. #22621180C2semidirect
23. #22621120C2semidirect
24. #22620182C2semidirect
25. #22620179C2semidirect
26. #22620027C2semidirect
27. #22619760C2semidirect
28. #22619755C2semidirect
29. C2×#17988890C2semidirect
30. #22619071C2semidirect
31. C73×#3346C2semidirect
34. #17989313C22semidirect
35. #17989312C22semidirect
38. #17989292C22semidirect
42. #17989279C22semidirect
44. #17989277C22semidirect
45. #17989272C22semidirect
46. #17989271C22semidirect
54. #17989218C22semidirect
56. #17989214C22semidirect
58. #17989197C22semidirect
60. #17989195C22semidirect
66. #17989139C22semidirect
69. C2×#14556582C22semidirect
75. #17988995C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988952C22semidirect
81. #17988950C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988935C22semidirect
85. #17988932C22semidirect
86. #17988930C22semidirect
87. #17988928C22semidirect
88. #17988927C22semidirect
89. #17988922C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988908C22semidirect
94. #17988907C22semidirect
95. #17988905C22semidirect
96. #17988905C22semidirect
97. #17988902C22semidirect
98. #17988901C22semidirect
99. #17988898C22semidirect
100. #17988896C22semidirect
101. #17988893C22semidirect
102. #17988891C22semidirect
107. #17988890C22semidirect
108. #17988890C22semidirect
109. #17988890C22semidirect
110. #17988890C22semidirect
111. #17988890C22semidirect
113. #17988887C22semidirect
115. #17988886C22semidirect
116. #17988886C22semidirect
117. #17988885C22semidirect
118. #17988885C22semidirect
120. #17988876C22semidirect
121. #17988875C22semidirect
123. #17988871C22semidirect
124. #17988870C22semidirect
126. #17988866C22semidirect
127. #17988866C22semidirect
128. #17988836C22semidirect
129. #17988834C22semidirect
130. #17988833C22semidirect
131. #17988819C22semidirect
132. #17988818C22semidirect
133. #17988818C22semidirect
134. #17988817C22semidirect
135. #17988816C22semidirect
136. #17988814C22semidirect
137. #17988814C22semidirect
139. #17988791C22semidirect
140. #17988791C22semidirect
141. #17988790C22semidirect
142. #17988788C22semidirect
143. #17988787C22semidirect
144. #17988786C22semidirect
145. #17988786C22semidirect
146. #17988785C22semidirect
147. #17988785C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
158. #17988690C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
165. C4×#11924016C22semidirect
166. #17988672C22semidirect
167. #17988658C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
170. D4×#10596831C22semidirect
171. #17988650C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988628C22semidirect
176. #17988624C22semidirect
177. #17988623C22semidirect
178. C2×#14556522C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
188. #554×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #474×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
851. #3346D73semidirect
873. C73#62164semidirect
881. #554C2×D73semidirect
922. #501C2×D73semidirect
934. #485C2×D73semidirect
936. #484C2×D73semidirect
944. #481C2×D73semidirect
948. #480C2×D73semidirect
952. #479C2×D73semidirect
978. #474C2×D73semidirect
982. #468C2×D73semidirect
990. #465C2×D73semidirect
1016. #440C2×D73semidirect
1024. #435C2×D73semidirect
1031. #428C2×D73semidirect
1034. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245352
#226239592
#226228742
#226228712
#226226612
#226226592
#226224502
#226224472
#226224122
#226223082
#226223042
#226219582
#226219542
#226219502
#226219472
#226217532
#226217492
#226213762
#226213732
#226212422
#226211852
#226211802
#226211202
#226201822
#226201792
#226200272
#226197602
#226197552
C2×#179888902
#226190712
C73×#33462
#6216473