Finite Group Databasebeta

← #33967950

Subgroups — #33967950

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic
2Q8×#11924027C211yesmaximal, characteristic, complemented
3#22622979C211yesmaximal, characteristic, complemented
4#22622844C211yesmaximal, characteristic, complemented
5#22622746C211yesmaximal, characteristic, complemented
6#22622709C211yesmaximal, characteristic, complemented
7#22622416C211yesmaximal, characteristic, complemented
8#22622409C211yesmaximal, characteristic, complemented
9#22622318C211yesmaximal, characteristic, complemented
10#22622103C211yesmaximal, characteristic, complemented
11#22622014C211yesmaximal, characteristic, complemented
12#22622007C211yesmaximal, characteristic, complemented
13#22621803C211yesmaximal, characteristic, complemented
14#22621750C211yesmaximal, characteristic, complemented
15#22621620C211yesmaximal, characteristic, complemented
16#22621444C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620639C211yesmaximal, characteristic, complemented
20#22620633C211yesmaximal, characteristic, complemented
21#22620107C211yesmaximal, characteristic, complemented
22#22620097C211yesmaximal, characteristic, complemented
23#22620088C211yesmaximal, characteristic, complemented
24#22620048C211yesmaximal, characteristic, complemented
25#22620029C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618746C211yesmaximal, characteristic, complemented
29C2×#17988690C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3320C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C22×#11924015C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36Q8×Dic146C2211yescharacteristic, complemented
37#17989312—21no—
38#17989312C2211yescharacteristic, complemented
39#17989295—21no—
40#17989295—21no—
41#17989295C2211yescharacteristic
42#17989295C2211yescharacteristic, complemented
43#17989294—21no—
44#17989294C2211yescharacteristic, complemented
45#17989293C2211yescharacteristic
46#17989292C2211yescharacteristic
47#17989282—21no—
48#17989281C2211yescharacteristic
49#17989266—21no—
50#17989262—21no—
51Q8×C22⋊D73C2211yescharacteristic
52Q8×C22⋊D73C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989142—21no—
58#17989142C2211yescharacteristic, complemented
59#17989139—21no—
60#17989139—21no—
61#17989139C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989132C2211yescharacteristic
64#17989122C2211yescharacteristic
65#17989120—21no—
66#17989118C2211yescharacteristic
67#17989097—21no—
68#17989095—21no—
69#17989055C2211yescharacteristic
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C2×Q8×Dic73C2211yescharacteristic, complemented
73C2×Q8×Dic73C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988954C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988928C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988921C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988903C2211yescharacteristic
97#17988901C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic
106#17988868C2211yescharacteristic
107#17988867C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988866C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic
118#17988819C2211yescharacteristic
119#17988814C2211yescharacteristic
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic
126#17988791C2211yescharacteristic
127#17988791C2211yescharacteristic, complemented
128#17988789C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988785C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988747C2211yescharacteristic
133#17988744C2211yescharacteristic, complemented
134#17988743C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988727C2211yescharacteristic
140#17988726C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988693C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145#17988691C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic
148#17988690C2211yescharacteristic
149#17988690C2211yescharacteristic
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic
158#17988688C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167#17988679C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic
169#17988672C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179C2×#14556524C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988589C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212#14556622—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015—24no—
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—24no—
228C2×#11924012C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556591—21no—
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556590—21no—
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589—21no—
240#14556589—21no—
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556585—21no—
246#14556584—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556579C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556574—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556572—21no—
269#14556571—21no—
270#14556571—21no—
271#14556571—21no—
272#14556571—21no—
273#14556571C2311yescharacteristic
274#14556570—21no—
275#14556570—21no—
276#14556570—21no—
277#14556570C2311yescharacteristic
278#14556570C2311yescharacteristic
279#14556570C2311yescharacteristic
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556567—21no—
290#14556567—21no—
291#14556567C2311yescharacteristic
292#14556567C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556562—21no—
300#14556561—21no—
301#14556559—21no—
302#14556559—21no—
303#14556559—21no—
304Q8×Dic73—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307Q8×Dic73—21no—
308Q8×Dic73C2311yescharacteristic
309Q8×Dic73C2311yescharacteristic
310Q8×Dic73C2311yescharacteristic
311Q8×Dic73C2311yescharacteristic
312Q8×Dic73C2311yescharacteristic
313Q8×Dic73C2311yescharacteristic
314Q8×Dic73C2311yescharacteristic
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319#14556556—21no—
320#14556556—21no—
321#14556556—21no—
322#14556556—21no—
323#14556556—21no—
324#14556556D411yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292—21no—
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73D411yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551D411yescharacteristic
356#14556551D411yescharacteristic
357#14556549—21no—
358#14556549—21no—
359#14556549D411yescharacteristic
360#14556548—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547D411yescharacteristic
365#14556547D411yescharacteristic
366C2×C4⋊Dic73—21no—
367C2×C4⋊Dic73—21no—
368C2×C4⋊Dic73C2311yescharacteristic
369C2×C4⋊Dic73C2311yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73—21no—
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—24no—
486#11924027—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—41no—
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
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—44no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
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—21no—
529C2×C4×D73—21no—
530C2×C4×D73—82no—
531C2×C4×D73—82no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535Dic292—41no—
536#11924018—22no—
537#11924018—22no—
538#11924018—41no—
539#11924017—22no—
540#11924017—41no—
541#11924016—22no—
542#11924015—22no—
543#11924015—22no—
544#11924015—22no—
545#11924015—22no—
546#11924015—41no—
547#11924015#4114yescomplemented
548#11924012—22no—
549C2×#10596831—22no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—22no—
555C8×D73—41no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C2×Q8×C73—21no—
640C2×Q8×C73—21no—
641C2×Q8×C73—22no—
642C2×Q8×C73—22no—
643C2×Q8×C73—41no—
644C2×Q8×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658SD16×C73—22no—
659SD16×C73—41no—
660SD16×C73—41no—
661M16×C73—41no—
662C2×C8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73C22×D411yescharacteristic
693C23×C73C22×D411yescharacteristic
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—81no—
701C22×D73—81no—
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—42no—
709Q8×C73—42no—
710Q8×C73C2×#4112yes—
711D4×C73—22no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—42no—
715D4×C73—81no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—42no—
728C2×C4×C73—42no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C2511yescharacteristic
736C22⋊D73—22no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73#13714yescomplemented
743C2×Dic73—22no—
744C2×Dic73—22no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—41no—
752C2×Dic73—41no—
753C2×Dic73—42no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763D292—21no—
764D292—21no—
765D292—21no—
766D292—42no—
767D292—42no—
768D292C2×#4112yes—
769C4×D73—22no—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—41no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—42no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782C4×D73—81no—
783Dic146—22no—
784Dic146—21no—
785Dic146—21no—
786Dic146—21no—
787Dic146—21no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146—81no—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73—21no—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831C2×#4112yes—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73C2×#13712yes—
810C22×C73C23×D411yescharacteristic
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—22no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—84no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—22no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73C22×#4111yescharacteristic
834C4×C73#58511yescharacteristic
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—21no—
840Dic73—21no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—41no—
851C2×C73—81no—
852C2×C73D4×#4111yescharacteristic
853C2×C73C22×#13711yescharacteristic
854C2×C73#358511yescharacteristic
855D73—22no—
856D73—42no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346—731no—
866#3338—731no—
867#3320—731no—
868#3320D7311yescharacteristic, complemented
869#3314—731no—
870#3314—731no—
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266—731no—
876#3182—731no—
877#3181—731no—
878#3181—731no—
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137—731no—
891C22×SD16—731no—
892C22×SD16—731no—
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—731no—
902#554—1461no—
903#554—1461no—
904#554—1461no—
905#553—731no—
906#553—1461no—
907#553C2×D7311yescharacteristic
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8C2×D7311yescharacteristic, complemented
913#546—731no—
914#546—731no—
915#546—1461no—
916D42—731no—
917#533—731no—
918#533—731no—
919#533—731no—
920#533—1461no—
921#533—1461no—
922#533—1461no—
923#532—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
938#501—731no—
939#501—731no—
940#500—731no—
941#497—731no—
942#497—731no—
943#492—731no—
944#491—731no—
945#491C2×D7311yescharacteristic, complemented
946#489—731no—
947#489—731no—
948#487—731no—
949#486—731no—
950#485—731no—
951#485C2×D7311yescharacteristic, complemented
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484—731no—
957#484C2×D7311yescharacteristic, complemented
958#481—731no—
959#481—731no—
960#480—731no—
961#480—731no—
962#479—731no—
963#479—731no—
964#479—731no—
965#479C2×D7311yescharacteristic, complemented
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic, complemented
978#467—731no—
979#467—731no—
980#467—731no—
981#467—731no—
982#465—731no—
983#465—731no—
984#465—731no—
985#465C2×D7311yescharacteristic
986#464—731no—
987#464—731no—
988#464—731no—
989#464—731no—
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461C2×D7311yescharacteristic, complemented
996#460—731no—
997#460—731no—
998#452—731no—
999#452—731no—
1000#451—731no—
1001#451—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#448—731no—
1007#448—731no—
1008#448C2×D7311yescharacteristic
1009#448C2×D7311yescharacteristic, complemented
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—731no—
1035#440C2×D7311yescharacteristic, complemented
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432—731no—
1049#428—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052#419C2×D7311yescharacteristic, complemented
1053#417—731no—
1054C2×#103—731no—
1055C2×#103C2×D7311yescharacteristic, complemented
1056C2×#102—731no—
1057C2×#102—731no—
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97—731no—
1061C2×#41—731no—
1062C2×#41—731no—
1063C2×#41—1461no—
1064C22×Q8—731no—
1065C22×Q8C22×D7311yescharacteristic
1066C22×Q8C22×D7311yescharacteristic
1067C22×D4—731no—
1068C22×D4—731no—
1069C22×D4—1461no—
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16—731no—
1076C2×Q16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—1464no—
1087C2×SD16—1464no—
1088C2×SD16C22×D7311yescharacteristic
1089C2×SD16C22×D7311yescharacteristic
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16C22×D7311yescharacteristic
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8—731no—
1096C22×C8C22×D7311yescharacteristic
1097C4⋊Q8—21no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—731no—
1103C4⋊Q8—731no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8—1461no—
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—21no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—731no—
1116#125—1461no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125C22×D7311yescharacteristic
1127#124—731no—
1128#124—731no—
1129#124—1461no—
1130#124—1461no—
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—731no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—21no—
1168#121—731no—
1169#121—731no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117C22×D7311yescharacteristic
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42—1461no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106C22×D7311yescharacteristic
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8—731no—
1290C4⋊C8C22×D7311yescharacteristic
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#103C22×D7311yescharacteristic
1306#103C22×D7311yescharacteristic
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8C22×D7311yescharacteristic
1328C22⋊C8C22×D7311yescharacteristic
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97—731no—
1334#97—731no—
1335#97—731no—
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—1461no—
1340C24—1461no—
1341#41—2921no—
1342#41—5842no—
1343#41—1462no—
1344#41—1464no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—41no—
1351C2×Q8—2921no—
1352C2×Q8—731no—
1353C2×Q8—731no—
1354C2×Q8—731no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1461no—
1359C2×Q8—1462no—
1360C2×Q8—1461no—
1361C2×Q8C23×D7311yescharacteristic
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—2921no—
1367C2×D4—2924no—
1368C2×D4—2921no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—1461no—
1374C2×D4—1462no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1462no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4D4×D7311yescharacteristic
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—5842no—
1389C22×C4—5842no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—731no—
1396C22×C4—731no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4C23×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—2921no—
1413Q16—2921no—
1414Q16—1462no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—41no—
1418SD16—41no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—734no—
1422SD16—1462no—
1423SD16—1462no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16—1462no—
1428M16—41no—
1429M16—1462no—
1430C2×C8—41no—
1431C2×C8—2921no—
1432C2×C8—731no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—1462no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4D4×D7311yescharacteristic
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4D4×D7311yescharacteristic
1525C22⋊C4D4×D7311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—731no—
1536C42—731no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—2922no—
1551C23—2922no—
1552C23—2922no—
1553C23—2922no—
1554C23—5841no—
1555C23—5841no—
1556C23—731no—
1557C23—1461no—
1558C23—1461no—
1559C23C2×D4×D7311yescharacteristic
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—42no—
1567Q8—42no—
1568Q8—2922no—
1569Q8—5841no—
1570Q8—5841no—
1571Q8—5841no—
1572Q8—5841no—
1573Q8—1462no—
1574Q8—1461no—
1575Q8—1461no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8#41×D7312yes—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—2922no—
1585D4—2922no—
1586D4—2922no—
1587D4—2922no—
1588D4—2922no—
1589D4—5841no—
1590D4—5841no—
1591D4—734no—
1592D4—732no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4—1461no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2921no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—2922no—
1619C2×C4—2921no—
1620C2×C4—2921no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—5841no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—731no—
1634C2×C4—731no—
1635C2×C4—1462no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1462no—
1643C2×C4—1462no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—732no—
1656C8—1461no—
1657C8—1461no—
1658C8—1461no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—2921no—
1672C22—5844no—
1673C22—5844no—
1674C22—732no—
1675C22—1462no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—732no—
1698C4—1461no—
1699C4—1461no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942211yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—81no—
1709C2—2922no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341511yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3320C2
socleC22×C73C23×D4
prime radical#22623538C2
hypercenter#3320D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
2. Q8×#11924027C2semidirect
3. #22622979C2semidirect
4. #22622844C2semidirect
5. #22622746C2semidirect
6. #22622709C2semidirect
7. #22622416C2semidirect
8. #22622409C2semidirect
9. #22622318C2semidirect
10. #22622103C2semidirect
11. #22622014C2semidirect
12. #22622007C2semidirect
13. #22621803C2semidirect
14. #22621750C2semidirect
15. #22621620C2semidirect
16. #22621444C2semidirect
17. #22621442C2semidirect
18. #22620644C2semidirect
19. #22620639C2semidirect
20. #22620633C2semidirect
21. #22620107C2semidirect
22. #22620097C2semidirect
23. #22620088C2semidirect
24. #22620048C2semidirect
25. #22620029C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618746C2semidirect
29. C2×#17988690C2semidirect
30. #440×D73C2semidirect
31. C73×#3320C2semidirect
36. Q8×Dic146C22semidirect
38. #17989312C22semidirect
42. #17989295C22semidirect
44. #17989294C22semidirect
52. Q8×C22⋊D73C22semidirect
58. #17989142C22semidirect
61. #17989139C22semidirect
62. #17989139C22semidirect
72. C2×Q8×Dic73C22semidirect
73. C2×Q8×Dic73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988979C22semidirect
82. #17988978C22semidirect
84. #17988954C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988936C22semidirect
89. #17988928C22semidirect
90. #17988924C22semidirect
91. #17988923C22semidirect
92. #17988922C22semidirect
93. #17988921C22semidirect
94. #17988921C22semidirect
97. #17988901C22semidirect
98. #17988898C22semidirect
99. #17988896C22semidirect
100. #17988896C22semidirect
101. #17988891C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
104. #17988880C22semidirect
107. #17988867C22semidirect
109. #17988866C22semidirect
110. #17988835C22semidirect
111. #17988833C22semidirect
112. #17988831C22semidirect
113. #17988828C22semidirect
114. #17988827C22semidirect
115. #17988827C22semidirect
116. #17988826C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
124. #17988796C22semidirect
127. #17988791C22semidirect
133. #17988744C22semidirect
134. #17988743C22semidirect
140. #17988726C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988693C22semidirect
144. #17988691C22semidirect
145. #17988691C22semidirect
146. #17988691C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988690C22semidirect
158. #17988688C22semidirect
159. #17988688C22semidirect
160. #17988688C22semidirect
161. #17988687C22semidirect
163. #17988686C22semidirect
165. #17988684C22semidirect
166. #17988679C22semidirect
167. #17988679C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. C2×#14556524C22semidirect
180. #107×D73C22semidirect
182. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
189. D4×Q8×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
196. #461×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. C2×#103×C73C22semidirect
547. #11924015#41semidirect
742. C22⋊D73#137semidirect
868. #3320D73semidirect
889. C73#61453semidirect
912. D4×Q8C2×D73semidirect
945. #491C2×D73semidirect
951. #485C2×D73semidirect
957. #484C2×D73semidirect
965. #479C2×D73semidirect
977. #468C2×D73semidirect
995. #461C2×D73semidirect
1009. #448C2×D73semidirect
1035. #440C2×D73semidirect
1043. #435C2×D73semidirect
1052. #419C2×D73semidirect
1055. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
Q8×#119240272
#226229792
#226228442
#226227462
#226227092
#226224162
#226224092
#226223182
#226221032
#226220142
#226220072
#226218032
#226217502
#226216202
#226214442
#226214422
#226206442
#226206392
#226206332
#226201072
#226200972
#226200882
#226200482
#226200292
#226200272
#226189412
#226187462
C2×#179886902
#440×D732
C73×#33202
#6145373