Finite Group Databasebeta

← #33979769

Subgroups — #33979769

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624521C211yesmaximal, characteristic, complemented
2#22623877C211yesmaximal, characteristic, complemented
3#22622994C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622691C211yesmaximal, characteristic, complemented
6#22622579C211yesmaximal, characteristic, complemented
7#22622233C211yesmaximal, characteristic, complemented
8#22622205C211yesmaximal, characteristic, complemented
9#22622190C211yesmaximal, characteristic, complemented
10#22622063C211yesmaximal, characteristic, complemented
11#22621889C211yesmaximal, characteristic, complemented
12#22621776C211yesmaximal, characteristic, complemented
13#22621635C211yesmaximal, characteristic, complemented
14#22621548C211yesmaximal, characteristic, complemented
15#22621539C211yesmaximal, characteristic, complemented
16#22621537C211yesmaximal, characteristic, complemented
17#22621451C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22621379C211yesmaximal, characteristic, complemented
20#22621334C211yesmaximal, characteristic, complemented
21#22621034C211yesmaximal, characteristic, complemented
22#22620980C211yesmaximal, characteristic, complemented
23#22620911C211yesmaximal, characteristic, complemented
24#22620169C211yesmaximal, characteristic, complemented
25#22620152C211yesmaximal, characteristic, complemented
26#22619983C211yesmaximal, characteristic, complemented
27#22619467C211yesmaximal, characteristic, complemented
28#22619444C211yesmaximal, characteristic, complemented
29#22619390C211yesmaximal, characteristic, complemented
30#22619078C211yesmaximal, characteristic, complemented
31C73×#3257C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic
37C22×#11924017C2211yescharacteristic, complemented
38#17989334—21no—
39#17989325—21no—
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989307C2211yescharacteristic, complemented
43#17989298C2211yescharacteristic, complemented
44#17989289—21no—
45#17989288—21no—
46#17989284C2211yescharacteristic
47#17989271C2211yescharacteristic, complemented
48#17989267—21no—
49#17989262—21no—
50#17989260—21no—
51#17989255C2211yescharacteristic
52#17989243C2211yescharacteristic
53#17989243C2211yescharacteristic, complemented
54#17989241C2211yescharacteristic, complemented
55#17989240C2211yescharacteristic
56#17989234C2211yescharacteristic, complemented
57#17989232C2211yescharacteristic, complemented
58#17989230—21no—
59#17989230C2211yescharacteristic
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic, complemented
62#17989200C2211yescharacteristic, complemented
63#17989190—21no—
64#17989188C2211yescharacteristic
65#17989183—21no—
66#17989181—21no—
67#17989174—21no—
68#17989173—21no—
69#17989173—21no—
70#17989163C2211yescharacteristic, complemented
71#17989150C2211yescharacteristic, complemented
72#17989135C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic, complemented
74#17989122C2211yescharacteristic, complemented
75#17989115C2211yescharacteristic
76#17989100—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic
79#17989061C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988939C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988924C2211yescharacteristic, complemented
95#17988919C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988884C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988836C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988812C2211yescharacteristic, complemented
114#17988809C2211yescharacteristic, complemented
115#17988807C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic
118#17988803C2211yescharacteristic
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988797C2211yescharacteristic, complemented
128#17988793C2211yescharacteristic, complemented
129#17988793C2211yescharacteristic, complemented
130#17988793C2211yescharacteristic, complemented
131#17988793C2211yescharacteristic, complemented
132#17988792C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic
137#17988779C2211yescharacteristic
138#17988779C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic
140#17988752C2211yescharacteristic
141#17988747C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988742C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988733C2211yescharacteristic
147#17988733C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic
150#17988729C2211yescharacteristic, complemented
151#17988725C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988716C2211yescharacteristic, complemented
158#17988711C2211yescharacteristic, complemented
159#17988697C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988691C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic
168C4×#11924013C2211yescharacteristic
169C4×#11924013C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988664C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988657C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988648C2211yescharacteristic, complemented
178#17988647C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988597C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988585C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988584C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic, complemented
190#479×C73C2211yescharacteristic, complemented
191#478×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200#460×C73C2211yescharacteristic, complemented
201#459×C73C2211yescharacteristic, complemented
202#424×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556619—42no—
216#14556618—42no—
217#14556615—42no—
218#14556615—42no—
219#14556612—42no—
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017—42no—
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586D411yescharacteristic
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584D411yescharacteristic
260#14556582—21no—
261#14556582—21no—
262#14556582C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581D411yescharacteristic
266#14556580C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556575—21no—
285#14556575—21no—
286#14556575—21no—
287#14556575—21no—
288#14556575—21no—
289#14556574—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573D411yescharacteristic
298#14556572—21no—
299#14556571—21no—
300#14556571—21no—
301#14556571—21no—
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556570—21no—
306#14556569D411yescharacteristic
307#14556568—21no—
308#14556568—21no—
309#14556567—21no—
310#14556567—21no—
311#14556567—21no—
312#14556567C2311yescharacteristic
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556565—21no—
318#14556565—21no—
319#14556565—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564D411yescharacteristic
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562C2311yescharacteristic
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343Q8×Dic73C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345#14556556C2311yescharacteristic
346#14556556C2311yescharacteristic
347#14556556C2311yescharacteristic
348C4×D292—21no—
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353C4×D292C2311yescharacteristic
354C4×D292C2311yescharacteristic
355D4×Dic73—21no—
356D4×Dic73—21no—
357D4×Dic73—21no—
358D4×Dic73—21no—
359D4×Dic73C2311yescharacteristic
360#14556553—21no—
361#14556553—21no—
362#14556553—21no—
363#14556553—21no—
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73C2311yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556550—21no—
376#14556550C2311yescharacteristic
377#14556549—21no—
378#14556549—21no—
379#14556548—21no—
380#14556548—21no—
381#14556548C2311yescharacteristic
382C2×C4⋊Dic73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C42×D73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#126×C73—21no—
450#125×C73C2311yescharacteristic
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455#123×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924029—82no—
490#11924028—41no—
491#11924028—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496#11924027—41no—
497#11924027—41no—
498C2×Dic146—21no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×D292—22no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—22no—
530D4×D73—41no—
531D4×D73—41no—
532D4×D73—41no—
533D4×D73—82no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—82no—
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555#11924018—41no—
556#11924018—41no—
557#11924018—41no—
558#11924017—22no—
559#11924017—22no—
560#11924017—22no—
561#11924017—41no—
562#11924017—41no—
563#11924017—41no—
564#11924016—41no—
565#11924016—41no—
566#11924016—41no—
567#11924015—41no—
568D584—22no—
569D584—41no—
570#11924013—22no—
571#11924013—22no—
572#11924013—41no—
573#11924013—41no—
574#11924013—41no—
575#11924011—41no—
576#11924011—41no—
577#11924011—41no—
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C8×D73—41no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73C2×D411yescharacteristic
594C4⋊Dic73C2×D411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671SD16×C73—41no—
672SD16×C73—41no—
673D8×C73—41no—
674D8×C73—41no—
675M16×C73—41no—
676C2×C8×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—81no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2511yescharacteristic
754C22⋊D73—41no—
755C22⋊D73—41no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—41no—
789D292—42no—
790D292—42no—
791D292—42no—
792D292—81no—
793D292—81no—
794D292H(5,𝔽2)12yes—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—41no—
800C4×D73—41no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—22no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C2×H(5,𝔽2)11yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—41no—
892D73—42no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257D7311yescharacteristic, complemented
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542C2×D7311yescharacteristic, complemented
958#541—731no—
959#540—731no—
960#540—1461no—
961#540C2×D7311yescharacteristic, complemented
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478C2×D7311yescharacteristic, complemented
1004#476C2×D7311yescharacteristic, complemented
1005#474C2×D7311yescharacteristic, complemented
1006#470—731no—
1007#469—731no—
1008#469C2×D7311yescharacteristic, complemented
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468C2×D7311yescharacteristic, complemented
1014#466C2×D7311yescharacteristic
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460C2×D7311yescharacteristic, complemented
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459C2×D7311yescharacteristic, complemented
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424C2×D7311yescharacteristic, complemented
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—1461no—
1152#127C22×D7311yescharacteristic
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—21no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—731no—
1188#123—731no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—21no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—2921no—
1395C2×Q8—2921no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—5842no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—5842no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—2922no—
1605C23—2922no—
1606C23—2922no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—81no—
1622Q8—2921no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2921no—
1643D4—2922no—
1644D4—2922no—
1645D4—2921no—
1646D4—2921no—
1647D4—2922no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—732no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2921no—
1677C2×C4—2921no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—5844no—
1744C22—11682no—
1745C22—11682no—
1746C22—1462no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942411yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2922no—
1782C2—2921no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359511yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3257C2
socleC22×C73C23×D4
hypercenter#3257D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #22624521C2semidirect
2. #22623877C2semidirect
3. #22622994C2semidirect
4. #22622938C2semidirect
5. #22622691C2semidirect
6. #22622579C2semidirect
7. #22622233C2semidirect
8. #22622205C2semidirect
9. #22622190C2semidirect
10. #22622063C2semidirect
11. #22621889C2semidirect
12. #22621776C2semidirect
13. #22621635C2semidirect
14. #22621548C2semidirect
15. #22621539C2semidirect
16. #22621537C2semidirect
17. #22621451C2semidirect
18. #22621423C2semidirect
19. #22621379C2semidirect
20. #22621334C2semidirect
21. #22621034C2semidirect
22. #22620980C2semidirect
23. #22620911C2semidirect
24. #22620169C2semidirect
25. #22620152C2semidirect
26. #22619983C2semidirect
27. #22619467C2semidirect
28. #22619444C2semidirect
29. #22619390C2semidirect
30. #22619078C2semidirect
31. C73×#3257C2semidirect
35. C2×#14556615C22semidirect
37. C22×#11924017C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989307C22semidirect
43. #17989298C22semidirect
47. #17989271C22semidirect
53. #17989243C22semidirect
54. #17989241C22semidirect
56. #17989234C22semidirect
57. #17989232C22semidirect
61. #17989221C22semidirect
62. #17989200C22semidirect
70. #17989163C22semidirect
71. #17989150C22semidirect
72. #17989135C22semidirect
73. #17989124C22semidirect
74. #17989122C22semidirect
79. #17989061C22semidirect
80. C4×D4×D73C22semidirect
81. #17988982C22semidirect
83. #17988969C22semidirect
84. #17988968C22semidirect
85. #17988968C22semidirect
87. #17988950C22semidirect
88. #17988949C22semidirect
89. #17988940C22semidirect
90. #17988940C22semidirect
91. #17988940C22semidirect
92. #17988939C22semidirect
93. #17988924C22semidirect
94. #17988924C22semidirect
95. #17988919C22semidirect
96. #17988908C22semidirect
97. #17988908C22semidirect
98. #17988907C22semidirect
99. #17988897C22semidirect
100. #17988897C22semidirect
101. #17988893C22semidirect
102. #17988890C22semidirect
103. #17988884C22semidirect
104. #17988884C22semidirect
105. #17988844C22semidirect
107. #17988836C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
111. #17988817C22semidirect
112. #17988815C22semidirect
113. #17988812C22semidirect
114. #17988809C22semidirect
115. #17988807C22semidirect
116. #17988805C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988797C22semidirect
128. #17988793C22semidirect
129. #17988793C22semidirect
130. #17988793C22semidirect
131. #17988793C22semidirect
132. #17988792C22semidirect
133. #17988786C22semidirect
134. #17988786C22semidirect
135. #17988785C22semidirect
138. #17988779C22semidirect
141. #17988747C22semidirect
142. #17988746C22semidirect
143. #17988746C22semidirect
144. #17988742C22semidirect
145. #17988739C22semidirect
147. #17988733C22semidirect
148. #17988733C22semidirect
150. #17988729C22semidirect
151. #17988725C22semidirect
153. #17988722C22semidirect
155. #17988720C22semidirect
156. #17988719C22semidirect
157. #17988716C22semidirect
158. #17988711C22semidirect
159. #17988697C22semidirect
160. #17988697C22semidirect
161. #17988691C22semidirect
162. #17988686C22semidirect
163. #17988679C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. #17988674C22semidirect
169. C4×#11924013C22semidirect
170. #17988667C22semidirect
171. #17988664C22semidirect
172. #17988663C22semidirect
173. #17988663C22semidirect
174. #17988658C22semidirect
175. #17988657C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988648C22semidirect
178. #17988647C22semidirect
179. #17988639C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988597C22semidirect
183. #17988585C22semidirect
184. #17988585C22semidirect
185. #17988585C22semidirect
186. #17988584C22semidirect
187. #102×D73C22semidirect
188. #542×C73C22semidirect
189. #540×C73C22semidirect
190. #479×C73C22semidirect
191. #478×C73C22semidirect
192. #476×C73C22semidirect
193. #474×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
197. #465×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #460×C73C22semidirect
201. #459×C73C22semidirect
202. #424×C73C22semidirect
914. #3257D73semidirect
926. C73#62027semidirect
957. #542C2×D73semidirect
961. #540C2×D73semidirect
999. #479C2×D73semidirect
1003. #478C2×D73semidirect
1004. #476C2×D73semidirect
1005. #474C2×D73semidirect
1008. #469C2×D73semidirect
1013. #468C2×D73semidirect
1017. #465C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1043. #460C2×D73semidirect
1047. #459C2×D73semidirect
1090. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245212
#226238772
#226229942
#226229382
#226226912
#226225792
#226222332
#226222052
#226221902
#226220632
#226218892
#226217762
#226216352
#226215482
#226215392
#226215372
#226214512
#226214232
#226213792
#226213342
#226210342
#226209802
#226209112
#226201692
#226201522
#226199832
#226194672
#226194442
#226193902
#226190782
C73×#32572
#6202773