Finite Group Databasebeta

← #33972542

Subgroups — #33972542

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624230C211yesmaximal, characteristic, complemented
2#22623598C211yesmaximal, characteristic, complemented
3#22622272C211yesmaximal, characteristic, complemented
4#22622198C211yesmaximal, characteristic, complemented
5#22622165C211yesmaximal, characteristic, complemented
6#22622131C211yesmaximal, characteristic, complemented
7#22622019C211yesmaximal, characteristic, complemented
8#22622004C211yesmaximal, characteristic, complemented
9#22621951C211yesmaximal, characteristic, complemented
10#22621936C211yesmaximal, characteristic, complemented
11#22621596C211yesmaximal, characteristic, complemented
12#22621583C211yesmaximal, characteristic, complemented
13#22621557C211yesmaximal, characteristic, complemented
14#22621530C211yesmaximal, characteristic, complemented
15#22621511C211yesmaximal, characteristic, complemented
16#22621485C211yesmaximal, characteristic, complemented
17#22621440C211yesmaximal, characteristic, complemented
18#22621421C211yesmaximal, characteristic, complemented
19#22621025C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620812C211yesmaximal, characteristic, complemented
22#22620748C211yesmaximal, characteristic, complemented
23#22620734C211yesmaximal, characteristic, complemented
24#22620195C211yesmaximal, characteristic, complemented
25#22620139C211yesmaximal, characteristic, complemented
26#22619236C211yesmaximal, characteristic, complemented
27#22619203C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#22619174C211yesmaximal, characteristic, complemented
30#22618992C211yesmaximal, characteristic, complemented
31C73×#3222C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×#14556618C2211yescharacteristic, complemented
39C2×#14556618C2211yescharacteristic, complemented
40C2×#14556612C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989341—21no—
43#17989335—21no—
44#17989310C2211yescharacteristic, complemented
45#17989297C2211yescharacteristic, complemented
46#17989293—21no—
47#17989290—21no—
48#17989290C2211yescharacteristic, complemented
49#17989275C2211yescharacteristic, complemented
50#17989257C2211yescharacteristic
51#17989257C2211yescharacteristic
52#17989252C2211yescharacteristic, complemented
53#17989249C2211yescharacteristic, complemented
54#17989249C2211yescharacteristic, complemented
55#17989245C2211yescharacteristic
56#17989245C2211yescharacteristic
57#17989240C2211yescharacteristic, complemented
58#17989230C2211yescharacteristic
59#17989230C2211yescharacteristic
60#17989224—21no—
61#17989224—21no—
62#17989222C2211yescharacteristic
63#17989222C2211yescharacteristic
64#17989219—21no—
65#17989219—21no—
66#17989208C2211yescharacteristic, complemented
67#17989203—21no—
68#17989178—21no—
69#17989176—21no—
70#17989176—21no—
71#17989167C2211yescharacteristic, complemented
72#17989166—21no—
73#17989165C2211yescharacteristic
74#17989160C2211yescharacteristic, complemented
75#17989153—21no—
76#17989100C2211yescharacteristic, complemented
77#17989099C2211yescharacteristic
78#17989097—21no—
79C22⋊Q8×D73C2211yescharacteristic, complemented
80C2×#14556562C2211yescharacteristic
81#121×D73—21no—
82#17989067C2211yescharacteristic
83#17988974C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988923C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988901C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988883C2211yescharacteristic, complemented
102#17988868C2211yescharacteristic, complemented
103#17988844C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988825C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988794C2211yescharacteristic, complemented
124#17988789C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988779C2211yescharacteristic, complemented
127#17988751C2211yescharacteristic
128#17988750C2211yescharacteristic, complemented
129#17988749C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic
133#17988747C2211yescharacteristic
134#17988746C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988741C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988739C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988738C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988734C2211yescharacteristic
148#17988733C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988724C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988692C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163C4×Dic292C2211yescharacteristic, complemented
164C4×#11924018C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988666C2211yescharacteristic, complemented
169#17988664C2211yescharacteristic, complemented
170#17988664C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988587C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988585C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic
190#497×C73C2211yescharacteristic, complemented
191#492×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#460×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#450×C73C2211yescharacteristic, complemented
201#450×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216#41×D73—42no—
217#41×D73—42no—
218C2×Q8×D73C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556623—42no—
234#14556623—42no—
235#14556620—42no—
236#14556620—42no—
237#14556618—42no—
238#14556618—42no—
239#14556612—42no—
240C2×Dic292C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252SD16×D73—42no—
253C2×D584C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924011C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C2×#11924011C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265#14556591C2311yescharacteristic
266#14556590—21no—
267#14556590—21no—
268#14556587—21no—
269#14556587—21no—
270#14556586—21no—
271#14556586—21no—
272#14556586—21no—
273#14556586—21no—
274#14556586—21no—
275#14556583—21no—
276#14556582—21no—
277#14556579—21no—
278#14556579—21no—
279#14556579—21no—
280#14556579C2311yescharacteristic
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556575D411yescharacteristic
292#14556575D411yescharacteristic
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556571—21no—
298#14556571—21no—
299#14556571D411yescharacteristic
300#14556571D411yescharacteristic
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556570C2311yescharacteristic
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556567C2311yescharacteristic
321#14556566—21no—
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566D411yescharacteristic
327#14556566D411yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556565—21no—
331#14556565C2311yescharacteristic
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556562—21no—
345#14556562—21no—
346#14556562—21no—
347#14556562—21no—
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561D411yescharacteristic
358#14556561D411yescharacteristic
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363C4×Dic146—21no—
364C4×Dic146C2311yescharacteristic
365C4×Dic146C2311yescharacteristic
366C4×Dic146C2311yescharacteristic
367C4×D292—21no—
368C4×D292—21no—
369C4×D292—21no—
370C4×D292C2311yescharacteristic
371C4×D292C2311yescharacteristic
372C4×D292C2311yescharacteristic
373C4×D292C2311yescharacteristic
374C4×D292C2311yescharacteristic
375C4×D292C2311yescharacteristic
376C4×D292C2311yescharacteristic
377D4×Dic73—21no—
378D4×Dic73—21no—
379#14556553—21no—
380#14556553—21no—
381#14556553—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556549—21no—
388#14556549—21no—
389#14556549C2311yescharacteristic
390#14556549C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C4⋊C4×D73—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73C2311yescharacteristic
396C4⋊C4×D73C2311yescharacteristic
397C2×C22⋊Dic73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401#14556525C2311yescharacteristic
402#14556525C2311yescharacteristic
403#14556525C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410C4⋊#10596831C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556502C2311yescharacteristic
446C4×#10596831C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#126×C73—21no—
462#125×C73—21no—
463#125×C73—21no—
464#125×C73C2311yescharacteristic
465#124×C73C2311yescharacteristic
466#124×C73C2311yescharacteristic
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73—21no—
470#121×C73—21no—
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic
474C4×Q8×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494#11924029—22no—
495#11924029—41no—
496#11924029—41no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924028—22no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924027—22no—
506#11924027—22no—
507#11924027—22no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—22no—
521Q8×D73—41no—
522Q8×D73—41no—
523Q8×D73—41no—
524Q8×D73—41no—
525Q8×D73—41no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2×D411yescharacteristic
535C2×D292C2×D411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—44no—
553C2×C22⋊D73—44no—
554C2×C22⋊D73—82no—
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—41no—
563D4×D73—44no—
564D4×D73—44no—
565D4×D73—82no—
566D4×D73—82no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73C2×D411yescharacteristic
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—41no—
585C2×C4×D73—41no—
586C2×C4×D73—44no—
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593Dic292—22no—
594#11924018—22no—
595#11924018—22no—
596#11924018—41no—
597#11924017—22no—
598#11924017—22no—
599#11924016—41no—
600#11924016—41no—
601#11924016—41no—
602#11924015—22no—
603#11924015—22no—
604#11924015—41no—
605D584—22no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609#11924011—41no—
610#11924011—41no—
611#11924011—41no—
612#11924011—41no—
613#11924011—41no—
614#11924011—41no—
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C8×D73—41no—
620C8×D73—41no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73C2×D411yescharacteristic
626C4⋊Dic73C2×D411yescharacteristic
627C4⋊Dic73C2×D411yescharacteristic
628C4⋊Dic73C2×D411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632C4⋊Dic73C2411yescharacteristic
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C24×C73—21no—
684#41×C73—41no—
685#41×C73—41no—
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73C2411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C22×C4×C73—21no—
701C22×C4×C73C2411yescharacteristic
702Q16×C73—41no—
703Q16×C73—41no—
704SD16×C73—41no—
705SD16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708SD16×C73—41no—
709SD16×C73—41no—
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2×D411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C42×C73—21no—
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—41no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73C22×D411yescharacteristic
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—42no—
776D4×C73—42no—
777D4×C73—81no—
778D4×C73—81no—
779D4×C73—81no—
780D4×C73—81no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—42no—
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C2511yescharacteristic
795C22⋊D73—24no—
796C22⋊D73—41no—
797C22⋊D73—41no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—41no—
818C2×Dic73—42no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73—81no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826D292—21no—
827D292—21no—
828D292—21no—
829D292—41no—
830D292—41no—
831D292—41no—
832D292—41no—
833D292—41no—
834D292—42no—
835D292—42no—
836D292—81no—
837D292—81no—
838D292—81no—
839D292H(5,𝔽2)12yes—
840C4×D73—24no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—41no—
850C4×D73—41no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73—81no—
856C4×D73—81no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—41no—
866Dic146—42no—
867Dic146—81no—
868Dic146—81no—
869Dic146—81no—
870Dic146H(5,𝔽2)12yes—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—162no—
892C22×C73C23×D411yescharacteristic
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—22no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—82no—
912C2×D73—84no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—21no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73—41no—
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926C4×C73C2×H(5,𝔽2)11yescharacteristic
927Dic73—22no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—21no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—81no—
940C2×C73—81no—
941C2×C73—81no—
942C2×C73#348411yescharacteristic
943C2×C73#358511yescharacteristic
944C2×C73#358611yescharacteristic
945D73—41no—
946D73—41no—
947D73—41no—
948D73—41no—
949D73—42no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222D7311yescharacteristic, complemented
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135—731no—
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548—731no—
1008#547—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541C2×D7311yescharacteristic, complemented
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—731no—
1025#537—1461no—
1026#536—731no—
1027#535—1461no—
1028#535C2×D7311yescharacteristic
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497C2×D7311yescharacteristic, complemented
1037#496—731no—
1038#495—731no—
1039#492C2×D7311yescharacteristic, complemented
1040#490C2×D7311yescharacteristic, complemented
1041#489—731no—
1042#488C2×D7311yescharacteristic, complemented
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464C2×D7311yescharacteristic, complemented
1079#464C2×D7311yescharacteristic, complemented
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460C2×D7311yescharacteristic, complemented
1086#460C2×D7311yescharacteristic, complemented
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic, complemented
1099#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450C2×D7311yescharacteristic, complemented
1110#450C2×D7311yescharacteristic, complemented
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433C2×D7311yescharacteristic, complemented
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—731no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4C22×D7311yescharacteristic
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16C22×D7311yescharacteristic
1198C2×Q16C22×D7311yescharacteristic
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16C22×D7311yescharacteristic
1209C2×SD16C22×D7311yescharacteristic
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16—731no—
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—1461no—
1228C4⋊Q8—1461no—
1229C4⋊Q8C22×D7311yescharacteristic
1230#127—1461no—
1231#127—1461no—
1232#127C22×D7311yescharacteristic
1233#127C22×D7311yescharacteristic
1234#126—21no—
1235#126—21no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—21no—
1242#125—21no—
1243#125—1461no—
1244#125—1461no—
1245#125C22×D7311yescharacteristic
1246#124—731no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124C22×D7311yescharacteristic
1255#124C22×D7311yescharacteristic
1256#123—731no—
1257#123—731no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#120—21no—
1330#120—21no—
1331#120—731no—
1332#120—731no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—1461no—
1344C4×Q8C22×D7311yescharacteristic
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366#117—731no—
1367#117—731no—
1368#117—1461no—
1369#117—1461no—
1370#117C22×D7311yescharacteristic
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107—731no—
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8C22×D7311yescharacteristic
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97C22×D7311yescharacteristic
1439C4×C8—731no—
1440C4×C8C22×D7311yescharacteristic
1441C24—21no—
1442C24—731no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—41no—
1447#41—41no—
1448#41—2921no—
1449#41—2921no—
1450#41—2924no—
1451#41—2924no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2924no—
1456#41—2921no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—2921no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2924no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—2921no—
1497C2×D4—2924no—
1498C2×D4—5842no—
1499C2×D4—5842no—
1500C2×D4—5842no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1462no—
1519C2×D4—1462no—
1520C2×D4—1462no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4C23×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—2921no—
1537C22×C4—2921no—
1538C22×C4—2924no—
1539C22×C4—731no—
1540C22×C4—731no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4C23×D7311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—2921no—
1566Q16—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—2921no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—731no—
1616C4⋊C4—731no—
1617C4⋊C4—731no—
1618C4⋊C4—731no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4D4×D7311yescharacteristic
1636C4⋊C4D4×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42C23×D7311yescharacteristic
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—2921no—
1696C23—2921no—
1697C23—2921no—
1698C23—2922no—
1699C23—2922no—
1700C23—2922no—
1701C23—2922no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—731no—
1708C23—731no—
1709C23—731no—
1710C23—731no—
1711C23—1461no—
1712C23—1461no—
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—2921no—
1721Q8—2922no—
1722Q8—5841no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—732no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—42no—
1736D4—42no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—2921no—
1742D4—2921no—
1743D4—2921no—
1744D4—2921no—
1745D4—2921no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2921no—
1751D4—2921no—
1752D4—2922no—
1753D4—2922no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—5841no—
1766D4—732no—
1767D4—1464no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—42no—
1779C2×C4—2921no—
1780C2×C4—2921no—
1781C2×C4—2922no—
1782C2×C4—2922no—
1783C2×C4—2921no—
1784C2×C4—2922no—
1785C2×C4—2922no—
1786C2×C4—2922no—
1787C2×C4—5841no—
1788C2×C4—5841no—
1789C2×C4—5841no—
1790C2×C4—5841no—
1791C2×C4—5841no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—731no—
1798C2×C4—731no—
1799C2×C4—731no—
1800C2×C4—731no—
1801C2×C4—1464no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4C2×D4×D7311yescharacteristic
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—5842no—
1849C22—5844no—
1850C22—11682no—
1851C22—11682no—
1852C22—1461no—
1853C22—1461no—
1854C22—1462no—
1855C22—1461no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1462no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4H(5,𝔽2)×D7311yescharacteristic
1888C2—41no—
1889C2—81no—
1890C2—81no—
1891C2—81no—
1892C2—2922no—
1893C2—2921no—
1894C2—2921no—
1895C2—2921no—
1896C2—2921no—
1897C2—5841no—
1898C2#2262356511yescharacteristic
1899C2#2262470911yescharacteristic
1900C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3222C2
socleC22×C73C23×D4
hypercenter#3222D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #22624230C2semidirect
2. #22623598C2semidirect
3. #22622272C2semidirect
4. #22622198C2semidirect
5. #22622165C2semidirect
6. #22622131C2semidirect
7. #22622019C2semidirect
8. #22622004C2semidirect
9. #22621951C2semidirect
10. #22621936C2semidirect
11. #22621596C2semidirect
12. #22621583C2semidirect
13. #22621557C2semidirect
14. #22621530C2semidirect
15. #22621511C2semidirect
16. #22621485C2semidirect
17. #22621440C2semidirect
18. #22621421C2semidirect
19. #22621025C2semidirect
20. #22620832C2semidirect
21. #22620812C2semidirect
22. #22620748C2semidirect
23. #22620734C2semidirect
24. #22620195C2semidirect
25. #22620139C2semidirect
26. #22619236C2semidirect
27. #22619203C2semidirect
28. #22619188C2semidirect
29. #22619174C2semidirect
30. #22618992C2semidirect
31. C73×#3222C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556620C22semidirect
38. C2×#14556618C22semidirect
39. C2×#14556618C22semidirect
40. C2×#14556612C22semidirect
41. C2×SD16×D73C22semidirect
44. #17989310C22semidirect
45. #17989297C22semidirect
48. #17989290C22semidirect
49. #17989275C22semidirect
52. #17989252C22semidirect
53. #17989249C22semidirect
54. #17989249C22semidirect
57. #17989240C22semidirect
66. #17989208C22semidirect
71. #17989167C22semidirect
74. #17989160C22semidirect
76. #17989100C22semidirect
79. C22⋊Q8×D73C22semidirect
83. #17988974C22semidirect
84. #17988969C22semidirect
85. #17988946C22semidirect
86. #17988933C22semidirect
87. #17988927C22semidirect
88. #17988923C22semidirect
89. #17988921C22semidirect
90. #17988920C22semidirect
91. #17988915C22semidirect
92. #17988909C22semidirect
93. #17988909C22semidirect
94. #17988909C22semidirect
95. #17988901C22semidirect
96. #17988899C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988891C22semidirect
100. #17988884C22semidirect
101. #17988883C22semidirect
102. #17988868C22semidirect
103. #17988844C22semidirect
104. #17988839C22semidirect
105. #17988839C22semidirect
106. #17988836C22semidirect
107. #17988832C22semidirect
108. #17988832C22semidirect
109. #17988830C22semidirect
110. #17988830C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
115. #17988825C22semidirect
116. #17988825C22semidirect
117. #17988822C22semidirect
118. #17988815C22semidirect
119. #17988810C22semidirect
120. #17988806C22semidirect
121. #17988803C22semidirect
122. #17988799C22semidirect
123. #17988794C22semidirect
124. #17988789C22semidirect
125. #17988784C22semidirect
126. #17988779C22semidirect
128. #17988750C22semidirect
129. #17988749C22semidirect
130. #17988748C22semidirect
131. #17988748C22semidirect
134. #17988746C22semidirect
135. #17988746C22semidirect
136. #17988746C22semidirect
137. #17988744C22semidirect
138. #17988741C22semidirect
139. #17988741C22semidirect
140. #17988739C22semidirect
141. #17988739C22semidirect
142. #17988738C22semidirect
143. #17988736C22semidirect
144. #17988736C22semidirect
145. #17988736C22semidirect
146. #17988735C22semidirect
148. #17988733C22semidirect
149. #17988733C22semidirect
150. #17988732C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
154. #17988724C22semidirect
155. #17988724C22semidirect
156. #17988724C22semidirect
157. #17988722C22semidirect
158. #17988721C22semidirect
159. #17988692C22semidirect
160. #17988689C22semidirect
161. #17988689C22semidirect
162. #17988685C22semidirect
163. C4×Dic292C22semidirect
164. C4×#11924018C22semidirect
165. C4×#11924015C22semidirect
166. C4×D584C22semidirect
167. #17988666C22semidirect
168. #17988666C22semidirect
169. #17988664C22semidirect
170. #17988664C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988657C22semidirect
174. #17988657C22semidirect
175. #17988648C22semidirect
176. #17988594C22semidirect
177. #17988590C22semidirect
178. #17988590C22semidirect
179. #17988587C22semidirect
180. #17988585C22semidirect
181. #17988585C22semidirect
182. #17988580C22semidirect
183. #102×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988549C22semidirect
188. #541×C73C22semidirect
190. #497×C73C22semidirect
191. #492×C73C22semidirect
192. #490×C73C22semidirect
193. #488×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #460×C73C22semidirect
197. #460×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #450×C73C22semidirect
201. #450×C73C22semidirect
202. #433×C73C22semidirect
970. #3222D73semidirect
982. C73#61654semidirect
1019. #541C2×D73semidirect
1036. #497C2×D73semidirect
1039. #492C2×D73semidirect
1040. #490C2×D73semidirect
1042. #488C2×D73semidirect
1078. #464C2×D73semidirect
1079. #464C2×D73semidirect
1085. #460C2×D73semidirect
1086. #460C2×D73semidirect
1098. #452C2×D73semidirect
1099. #452C2×D73semidirect
1109. #450C2×D73semidirect
1110. #450C2×D73semidirect
1141. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242302
#226235982
#226222722
#226221982
#226221652
#226221312
#226220192
#226220042
#226219512
#226219362
#226215962
#226215832
#226215572
#226215302
#226215112
#226214852
#226214402
#226214212
#226210252
#226208322
#226208122
#226207482
#226207342
#226201952
#226201392
#226192362
#226192032
#226191882
#226191742
#226189922
C73×#32222
#6165473