Finite Group Databasebeta

← #33963382

Subgroups — #33963382

Order 18688.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623649C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622173C211yesmaximal, characteristic, complemented
4#22622171C211yesmaximal, characteristic, complemented
5#22622165C211yesmaximal, characteristic, complemented
6#22622155C211yesmaximal, characteristic, complemented
7#22622151C211yesmaximal, characteristic, complemented
8#22622141C211yesmaximal, characteristic, complemented
9#22622135C211yesmaximal, characteristic, complemented
10#22622129C211yesmaximal, characteristic, complemented
11#22622089C211yesmaximal, characteristic, complemented
12#22622088C211yesmaximal, characteristic, complemented
13#22622071C211yesmaximal, characteristic, complemented
14#22622068C211yesmaximal, characteristic, complemented
15#22621973C211yesmaximal, characteristic, complemented
16#22621972C211yesmaximal, characteristic, complemented
17#22621947C211yesmaximal, characteristic, complemented
18#22620286C211yesmaximal, characteristic, complemented
19#22619882C211yesmaximal, characteristic, complemented
20#22619859C211yesmaximal, characteristic, complemented
21#22619759C211yesmaximal, characteristic, complemented
22#22619604C211yesmaximal, characteristic, complemented
23#22619535C211yesmaximal, characteristic, complemented
24#22619467C211yesmaximal, characteristic, complemented
25#22619236C211yesmaximal, characteristic, complemented
26#22619159C211yesmaximal, characteristic, complemented
27#22618762C211yesmaximal, characteristic, complemented
28#22618629C211yesmaximal, characteristic, complemented
29#22618452C211yesmaximal, characteristic, complemented
30#418×D73C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556597C2211yescharacteristic, complemented
38C2×M16×D73C2211yescharacteristic, complemented
39#17989310C2211yescharacteristic, complemented
40#17989308C2211yescharacteristic, complemented
41#17989304—21no—
42#17989302C2211yescharacteristic, complemented
43#17989300—21no—
44#17989300C2211yescharacteristic, complemented
45#17989290C2211yescharacteristic, complemented
46#17989285C2211yescharacteristic, complemented
47#17989282—21no—
48#17989271C2211yescharacteristic, complemented
49#17989269—21no—
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989226—21no—
55#17989224—21no—
56#17989222C2211yescharacteristic
57#17989221C2211yescharacteristic
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989219—21no—
61#17989217C2211yescharacteristic, complemented
62#17989176—21no—
63#17989173—21no—
64#17989167C2211yescharacteristic, complemented
65#17989153C2211yescharacteristic
66#17989150C2211yescharacteristic
67#17989147—21no—
68#17989145—21no—
69#17989122—21no—
70#17989115—21no—
71#17989100C2211yescharacteristic, complemented
72#17989097C2211yescharacteristic
73#17989096C2211yescharacteristic
74C2×#14556559—21no—
75#120×D73—21no—
76#17989069C2211yescharacteristic, complemented
77#17989068C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79#117×D73C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic, complemented
81#17988947C2211yescharacteristic, complemented
82#17988945C2211yescharacteristic, complemented
83#17988944C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988933C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988877C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988835C2211yescharacteristic, complemented
115#17988834C2211yescharacteristic, complemented
116#17988833C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988830C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic, complemented
129#17988747C2211yescharacteristic, complemented
130#17988746C2211yescharacteristic, complemented
131#17988737C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988734C2211yescharacteristic, complemented
136#17988733C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic, complemented
141#17988721C2211yescharacteristic, complemented
142#17988721C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988690C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147C4×#11924015C2211yescharacteristic, complemented
148#17988669C2211yescharacteristic, complemented
149C4×#11924013C2211yescharacteristic, complemented
150#17988665C2211yescharacteristic, complemented
151#17988664C2211yescharacteristic, complemented
152#17988662C2211yescharacteristic, complemented
153#17988662C2211yescharacteristic, complemented
154#17988660C2211yescharacteristic, complemented
155#17988658C2211yescharacteristic, complemented
156#17988656C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988624C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988592C2211yescharacteristic, complemented
163#17988592C2211yescharacteristic, complemented
164#17988591C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988590C2211yescharacteristic, complemented
169#17988590C2211yescharacteristic, complemented
170#17988590C2211yescharacteristic, complemented
171#17988590C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic, complemented
173#17988585C2211yescharacteristic, complemented
174#17988585C2211yescharacteristic, complemented
175#17988585C2211yescharacteristic, complemented
176#17988584C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179#17988580C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988544C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—24no—
205#14556636—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—24no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—42no—
224C2×D4×D73C2311yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230#14556618—24no—
231#14556618—42no—
232#14556612—42no—
233C2×#11924018C2311yescharacteristic, complemented
234C2×#11924017C2311yescharacteristic, complemented
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic, complemented
242#14556597—42no—
243C2×#11924012C2311yescharacteristic
244C2×#11924012C2311yescharacteristic, complemented
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic, complemented
250M16×D73—42no—
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic, complemented
254#14556591C2311yescharacteristic, complemented
255#14556590—21no—
256#14556590C2311yescharacteristic, complemented
257#14556587—21no—
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556586—21no—
264#14556584—21no—
265#14556584—21no—
266#14556582C2311yescharacteristic, complemented
267#14556581—21no—
268#14556581—21no—
269#14556579—21no—
270#14556579—21no—
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556571—21no—
290#14556571C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569D411yescharacteristic
295#14556568D411yescharacteristic
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic, complemented
298#14556566—21no—
299#14556566—21no—
300#14556566C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic, complemented
303#14556565—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic, complemented
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564D411yescharacteristic
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563D411yescharacteristic
319#14556562—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556561D411yescharacteristic
329#14556560—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559D411yescharacteristic
342Q8×Dic73C2311yescharacteristic, complemented
343C4×Dic146—21no—
344#14556556—21no—
345#14556556—21no—
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic, complemented
350D4×Dic73—21no—
351D4×Dic73C2311yescharacteristic
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic, complemented
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic, complemented
369#14556549—21no—
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic, complemented
376#14556548—21no—
377#14556548—21no—
378#14556548—21no—
379#14556548C2311yescharacteristic
380#14556547—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic, complemented
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic, complemented
394#14556525C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556523C2311yescharacteristic, complemented
398#14556522C2311yescharacteristic, complemented
399#14556522C2311yescharacteristic, complemented
400#14556522C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402C4⋊#10596831C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556516C2311yescharacteristic, complemented
406#14556516C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556514C2311yescharacteristic, complemented
410#14556514C2311yescharacteristic, complemented
411#14556514C2311yescharacteristic, complemented
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic, complemented
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic, complemented
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441#14556501C2311yescharacteristic, complemented
442C4×#10596831C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C22×D4×C73—21no—
445C22×D4×C73C2311yescharacteristic
446C22×D4×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic, complemented
450C2×M16×C73C2311yescharacteristic
451C22×C8×C73C2311yescharacteristic, complemented
452#127×C73C2311yescharacteristic
453#126×C73—21no—
454#125×C73—21no—
455#125×C73C2311yescharacteristic, complemented
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic, complemented
459#121×C73—21no—
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463#120×C73—21no—
464C4×Q8×C73C2311yescharacteristic, complemented
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic, complemented
470#107×C73C2311yescharacteristic, complemented
471#107×C73C2311yescharacteristic, complemented
472#106×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474#103×C73C2311yescharacteristic, complemented
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic, complemented
482#102×C73C2311yescharacteristic, complemented
483#102×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic, complemented
486#97×C73C2311yescharacteristic, complemented
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—44no—
494C23×D73—82no—
495C23×D73—82no—
496C23×D73C2×D411yescharacteristic
497#11924029—22no—
498#11924029—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—41no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—41no—
507#11924027—44no—
508C2×Dic146—21no—
509C2×Dic146—21no—
510C2×Dic146C2×D411yescharacteristic
511C2×Dic146C2411yescharacteristic
512C2×D292—22no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—41no—
519C2×D292C2×D411yescharacteristic
520C2×D292C2×D411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—44no—
540C2×C22⋊D73—44no—
541C2×C22⋊D73—44no—
542C2×C22⋊D73—82no—
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547D4×D73—22no—
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—22no—
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—44no—
557D4×D73—44no—
558D4×D73—44no—
559D4×D73—82no—
560D4×D73—82no—
561D4×D73#4114yes—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73C2×D411yescharacteristic
566C2×C4×D73—22no—
567C2×C4×D73—22no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73C2×D411yescharacteristic
578C2×C4×D73C2×D411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582#11924018—41no—
583#11924017—41no—
584#11924015—22no—
585#11924015—41no—
586D584—22no—
587D584—41no—
588#11924013—22no—
589#11924013—41no—
590#11924013—41no—
591#11924012—41no—
592#11924012—41no—
593#11924011—22no—
594#11924011—22no—
595#11924011—41no—
596#11924011—41no—
597#11924011—41no—
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C8×D73—22no—
603C8×D73—22no—
604C8×D73—41no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73C2×D411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73C2411yescharacteristic
671C24×C73—21no—
672C24×C73—21no—
673C2×Q8×C73C2411yescharacteristic
674C2×D4×C73—22no—
675C2×D4×C73—22no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—41no—
683C2×D4×C73—41no—
684C2×D4×C73—82no—
685C2×D4×C73C2×D411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C2×D4×C73C2411yescharacteristic
688C2×D4×C73C2411yescharacteristic
689C22×C4×C73—21no—
690C22×C4×C73—21no—
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693SD16×C73—22no—
694SD16×C73—41no—
695SD16×C73—41no—
696M16×C73—41no—
697C2×C8×C73—41no—
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C2×C8×C73C2411yescharacteristic
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73—21no—
707C4⋊C4×C73—21no—
708C4⋊C4×C73C2×D411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C4⋊C4×C73C2411yescharacteristic
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73C2×D411yescharacteristic
720C22⋊C4×C73C2×D411yescharacteristic
721C42×C73—21no—
722C42×C73—21no—
723C42×C73C2411yescharacteristic
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—42no—
728C23×C73—42no—
729C23×C73—42no—
730C23×C73—81no—
731C23×C73—81no—
732C23×C73—81no—
733C23×C73C22×D411yescharacteristic
734C23×C73C22×D411yescharacteristic
735C22×D73—21no—
736C22×D73—22no—
737C22×D73—24no—
738C22×D73—21no—
739C22×D73—21no—
740C22×D73—41no—
741C22×D73—41no—
742C22×D73—42no—
743C22×D73—42no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—816no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—41no—
771D4×C73—42no—
772D4×C73—42no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73C2×#4112yes—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
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—81no—
788C2×C4×C73—81no—
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C2511yescharacteristic
794C22⋊D73—22no—
795C22⋊D73—24no—
796C22⋊D73—22no—
797C22⋊D73—41no—
798C22⋊D73—41no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C2×Dic73—22no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73—81no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827D292—22no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—41no—
834D292—42no—
835D292—42no—
836D292—81no—
837D292—81no—
838D292—81no—
839D292C2×#4112yes—
840C4×D73—22no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—22no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73C2×#4112yes—
856C4×D73H(5,𝔽2)12yes—
857Dic146—22no—
858Dic146—21no—
859Dic146—21no—
860Dic146—81no—
861Dic146—81no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865C8×C73—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869#10596831—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—22no—
876C22×C73—21no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—84no—
886C22×C73—162no—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—22no—
897C2×D73—44no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—84no—
907C2×D73—84no—
908C2×D73—84no—
909C2×D73—84no—
910C2×D73—84no—
911C2×D73—162no—
912C2×D73#54612yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73C22×#4111yescharacteristic
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924Dic73—21no—
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—41no—
929Dic73—41no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73#54612yes—
934#61175—731nomaximal, Sylow
935C2×C73—41no—
936C2×C73—42no—
937C2×C73—41no—
938C2×C73—81no—
939C2×C73—81no—
940C2×C73C2×#54611yescharacteristic
941C2×C73#358511yescharacteristic
942C2×C73#358511yescharacteristic
943D73—22no—
944D73—41no—
945D73—41no—
946D73—42no—
947D73—81no—
948D73—81no—
949#3493—731no—
950#3484—731no—
951#3325—731no—
952#3325—731no—
953#3324—731no—
954#3324—731no—
955#3323—731no—
956#3323—731no—
957#3322—731no—
958#3322—731no—
959#3319—731no—
960#3319—731no—
961#3318—731no—
962#3318—731no—
963#3311—731no—
964#3311—731no—
965#3310—731no—
966#3310D7311yescharacteristic, complemented
967#3136—731no—
968#3096—731no—
969#3093—731no—
970#3081—731no—
971#3062—731no—
972#3054—731no—
973#3045—731no—
974#3012—731no—
975#3003—731no—
976#2946—731no—
977#2930—731no—
978#2897—731no—
979C2×#418—731no—
980C73#6117511yescharacteristic, complemented, Sylow
981C2×H(5,𝔽2)—731no—
982C23×D4—731no—
983C2×AGL(1,ℤ/8)—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×#135—731no—
986C2×#131—731no—
987C22×M16—731no—
988#556—731no—
989#556—731no—
990#556—1461no—
991#555—731no—
992#555—731no—
993#555—1461no—
994#553—731no—
995#553—731no—
996#553—1461no—
997#552—731no—
998#552—1461no—
999#552C2×D7311yescharacteristic, complemented
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—731no—
1004#546—1461no—
1005#546—1461no—
1006D42—731no—
1007D42—731no—
1008D42—731no—
1009D42—1461no—
1010D42—1461no—
1011D42C2×D7311yescharacteristic
1012#544—731no—
1013#538—1461no—
1014#538—1461no—
1015#537—731no—
1016#535—731no—
1017#535—731no—
1018#534—1461no—
1019#534—1461no—
1020#529—1461no—
1021#529—1461no—
1022#525—731no—
1023#525—731no—
1024#525—731no—
1025C2×#120—1461no—
1026C2×#120—1461no—
1027#520—731no—
1028#520—731no—
1029#518—731no—
1030C2×#117—731no—
1031#490—731no—
1032#490C2×D7311yescharacteristic, complemented
1033#489—731no—
1034#489—731no—
1035#488—731no—
1036#488—731no—
1037#486—731no—
1038#486—731no—
1039#485—731no—
1040#485—731no—
1041#485—731no—
1042#485—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#482—731no—
1048#482—731no—
1049#482—731no—
1050#482C2×D7311yescharacteristic, complemented
1051#481—731no—
1052#481—731no—
1053#480—731no—
1054#480C2×D7311yescharacteristic, complemented
1055#478—731no—
1056#478—731no—
1057#478—731no—
1058#478C2×D7311yescharacteristic, complemented
1059#476—731no—
1060#476—731no—
1061#474—731no—
1062#474—731no—
1063#470—731no—
1064#470—731no—
1065#469—731no—
1066#469—731no—
1067#469—731no—
1068#469—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#468—731no—
1073#468—731no—
1074#468C2×D7311yescharacteristic, complemented
1075#466—731no—
1076#466—731no—
1077#465—731no—
1078#465C2×D7311yescharacteristic, complemented
1079#464—731no—
1080#464—731no—
1081#463—731no—
1082#463—731no—
1083#460—731no—
1084#460C2×D7311yescharacteristic, complemented
1085#459—731no—
1086#459—731no—
1087#452—731no—
1088#452—731no—
1089#450—731no—
1090#450—731no—
1091#450—731no—
1092#450—731no—
1093#450C2×D7311yescharacteristic, complemented
1094#450C2×D7311yescharacteristic, complemented
1095#449—731no—
1096#449—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447—731no—
1102#447—731no—
1103#442—731no—
1104#442—731no—
1105#440—731no—
1106#440C2×D7311yescharacteristic, complemented
1107C4×SD16—731no—
1108C4×SD16—731no—
1109C4×D8—731no—
1110C4×D8—731no—
1111#436—731no—
1112#436—731no—
1113#436—731no—
1114#436—731no—
1115#435—731no—
1116#435—731no—
1117#435—731no—
1118#435C2×D7311yescharacteristic, complemented
1119#428—731no—
1120#428—731no—
1121#427—731no—
1122#424—731no—
1123#418—731no—
1124#418—731no—
1125#418—731no—
1126#418—731no—
1127#418—731no—
1128#418—731no—
1129#418—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418—731no—
1134#418C2×D7311yescharacteristic, complemented
1135#417—731no—
1136#417—731no—
1137#417—731no—
1138#417—731no—
1139#416—731no—
1140#416—731no—
1141#416—731no—
1142#416—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145C2×#102—731no—
1146C2×#102—731no—
1147C2×#102—731no—
1148C2×#102C2×D7311yescharacteristic, complemented
1149#408—731no—
1150#407—731no—
1151#405—731no—
1152C25—1461no—
1153H(5,𝔽2)—2922no—
1154H(5,𝔽2)—1464no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—1461no—
1161C22×D4—21no—
1162C22×D4—2922no—
1163C22×D4—731no—
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1464no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4C22×D7311yescharacteristic
1180C22×D4C22×D7311yescharacteristic
1181C23×C4—731no—
1182AGL(1,ℤ/8)—2922no—
1183AGL(1,ℤ/8)—1464no—
1184#135—2922no—
1185C2×Q16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16C22×D7311yescharacteristic
1190C2×SD16C22×D7311yescharacteristic
1191C2×SD16C22×D7311yescharacteristic, complemented
1192C2×D8—731no—
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8—731no—
1196C2×D8—731no—
1197#131—2922no—
1198C2×M16—2922no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16—731no—
1203C2×M16—731no—
1204C2×M16—731no—
1205C2×M16—731no—
1206C2×M16C22×D7311yescharacteristic
1207C22×C8—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8C22×D7311yescharacteristic, complemented
1211C4⋊Q8—731no—
1212C4⋊Q8—731no—
1213C4⋊Q8—1461no—
1214#127—731no—
1215#127—1461no—
1216#127C22×D7311yescharacteristic
1217#126—21no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#126—1461no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#125—21no—
1226#125—731no—
1227#125—1461no—
1228#125—1461no—
1229#125C22×D7311yescharacteristic, complemented
1230#124—731no—
1231#124—731no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#123—21no—
1240#123—731no—
1241#123—731no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251C22⋊Q8—731no—
1252C22⋊Q8—731no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—1461no—
1258C22⋊Q8—1461no—
1259C22⋊Q8—1461no—
1260C22⋊Q8C22×D7311yescharacteristic
1261C22⋊Q8C22×D7311yescharacteristic, complemented
1262#121—21no—
1263#121—731no—
1264#121—731no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121C22×D7311yescharacteristic
1290#121C22×D7311yescharacteristic
1291#120—21no—
1292#120—21no—
1293#120—731no—
1294#120—731no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311C4×Q8—731no—
1312C4×Q8—1461no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8C22×D7311yescharacteristic, complemented
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4C22×D7311yescharacteristic
1338C4×D4C22×D7311yescharacteristic
1339#117—21no—
1340#117—731no—
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—731no—
1347#117—731no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117—1461no—
1352#117—1461no—
1353#117—1461no—
1354#117C22×D7311yescharacteristic
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4C22×D7311yescharacteristic, complemented
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C42—1461no—
1368#107—731no—
1369#107—731no—
1370#107—731no—
1371#107—731no—
1372#107C22×D7311yescharacteristic, complemented
1373#107C22×D7311yescharacteristic, complemented
1374#106—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106C22×D7311yescharacteristic, complemented
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic, complemented
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103C22×D7311yescharacteristic, complemented
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
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#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic, complemented
1422#102C22×D7311yescharacteristic, complemented
1423#102C22×D7311yescharacteristic, complemented
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8C22×D7311yescharacteristic
1431C22⋊C8C22×D7311yescharacteristic, complemented
1432#97—731no—
1433#97C22×D7311yescharacteristic, complemented
1434C4×C8—731no—
1435C4×C8—731no—
1436C24—21no—
1437C24—21no—
1438C24—2924no—
1439C24—5842no—
1440C24—5842no—
1441C24—731no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446C24—1461no—
1447C24—1461no—
1448#41—2921no—
1449#41—2924no—
1450#41—2921no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—731no—
1460C2×Q8—731no—
1461C2×Q8—1461no—
1462C2×Q8—1461no—
1463C2×Q8C23×D7311yescharacteristic
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—82no—
1475C2×D4—2921no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—2924no—
1479C2×D4—2921no—
1480C2×D4—2921no—
1481C2×D4—2921no—
1482C2×D4—2924no—
1483C2×D4—2924no—
1484C2×D4—2924no—
1485C2×D4—5842no—
1486C2×D4—5842no—
1487C2×D4—5842no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—734no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—1461no—
1499C2×D4—1462no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1462no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1462no—
1514C2×D4—1462no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1462no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4D4×D7311yescharacteristic
1526C2×D4C23×D7311yescharacteristic
1527C2×D4C23×D7311yescharacteristic
1528C2×D4C23×D7311yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1462no—
1544C22×C4—1462no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4C23×D7311yescharacteristic
1552C22×C4C23×D7311yescharacteristic
1553Q16—2921no—
1554SD16—22no—
1555SD16—41no—
1556SD16—41no—
1557SD16—2921no—
1558SD16—2921no—
1559SD16—1462no—
1560D8—2921no—
1561D8—2921no—
1562D8—2921no—
1563D8—1462no—
1564D8—1462no—
1565M16—41no—
1566M16—2921no—
1567M16—2921no—
1568M16—2921no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—41no—
1574C2×C8—2921no—
1575C2×C8—731no—
1576C2×C8—731no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—1462no—
1580C2×C8—1462no—
1581C2×C8C23×D7311yescharacteristic
1582C2×C8C23×D7311yescharacteristic
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—731no—
1592C4⋊C4—731no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4D4×D7311yescharacteristic
1613C4⋊C4C23×D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—731no—
1624C22⋊C4—731no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4D4×D7311yescharacteristic
1660C22⋊C4D4×D7311yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—731no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42C23×D7311yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—42no—
1677C23—42no—
1678C23—42no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23—2921no—
1683C23—2921no—
1684C23—2922no—
1685C23—2922no—
1686C23—2922no—
1687C23—2922no—
1688C23—2922no—
1689C23—2922no—
1690C23—2922no—
1691C23—2922no—
1692C23—5841no—
1693C23—5841no—
1694C23—5841no—
1695C23—5841no—
1696C23—5841no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—58416no—
1702C23—731no—
1703C23—731no—
1704C23—731no—
1705C23—1462no—
1706C23—1464no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23C2×D4×D7311yescharacteristic
1711C23C2×D4×D7311yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—5841no—
1715Q8—5841no—
1716Q8—1462no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—2922no—
1732D4—2921no—
1733D4—2922no—
1734D4—2922no—
1735D4—2922no—
1736D4—2922no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2921no—
1741D4—2921no—
1742D4—2922no—
1743D4—2922no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—732no—
1754D4—1462no—
1755D4—1464no—
1756D4—1462no—
1757D4—1462no—
1758D4—1461no—
1759D4—1461no—
1760D4—1461no—
1761D4—1461no—
1762D4—1461no—
1763D4#41×D7312yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—5841no—
1787C2×C4—731no—
1788C2×C4—732no—
1789C2×C4—732no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—731no—
1794C2×C4—1462no—
1795C2×C4—1462no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1462no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C2×D4×D7311yescharacteristic
1809C2×C4C2×D4×D7311yescharacteristic
1810C2×C4C24×D7311yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1461no—
1816C8—1461no—
1817C8—1461no—
1818C8—1461no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—84no—
1835C22—162no—
1836C22—2924no—
1837C22—2921no—
1838C22—2921no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—5844no—
1846C22—5844no—
1847C22—5844no—
1848C22—5844no—
1849C22—5844no—
1850C22—732no—
1851C22—11682no—
1852C22—1462no—
1853C22—1461no—
1854C22—1461no—
1855C22—1461no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—2921no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4C2×#41×D7311yescharacteristic
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—2921no—
1889C2—2922no—
1890C2—2921no—
1891C2—5841no—
1892C2—5841no—
1893C2—1462no—
1894C2#546×D7311yescharacteristic
1895C2#2262470711yescharacteristic
1896C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#61175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22623649C2semidirect
2. #22623559C2semidirect
3. #22622173C2semidirect
4. #22622171C2semidirect
5. #22622165C2semidirect
6. #22622155C2semidirect
7. #22622151C2semidirect
8. #22622141C2semidirect
9. #22622135C2semidirect
10. #22622129C2semidirect
11. #22622089C2semidirect
12. #22622088C2semidirect
13. #22622071C2semidirect
14. #22622068C2semidirect
15. #22621973C2semidirect
16. #22621972C2semidirect
17. #22621947C2semidirect
18. #22620286C2semidirect
19. #22619882C2semidirect
20. #22619859C2semidirect
21. #22619759C2semidirect
22. #22619604C2semidirect
23. #22619535C2semidirect
24. #22619467C2semidirect
25. #22619236C2semidirect
26. #22619159C2semidirect
27. #22618762C2semidirect
28. #22618629C2semidirect
29. #22618452C2semidirect
30. #418×D73C2semidirect
31. C73×#3310C2semidirect
35. C2×#14556618C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556597C22semidirect
38. C2×M16×D73C22semidirect
39. #17989310C22semidirect
40. #17989308C22semidirect
42. #17989302C22semidirect
44. #17989300C22semidirect
45. #17989290C22semidirect
46. #17989285C22semidirect
48. #17989271C22semidirect
61. #17989217C22semidirect
64. #17989167C22semidirect
71. #17989100C22semidirect
76. #17989069C22semidirect
77. #17989068C22semidirect
79. #117×D73C22semidirect
80. #17988950C22semidirect
81. #17988947C22semidirect
82. #17988945C22semidirect
83. #17988944C22semidirect
84. #17988940C22semidirect
85. #17988933C22semidirect
86. #17988932C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988914C22semidirect
92. #17988912C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988908C22semidirect
98. #17988905C22semidirect
99. #17988904C22semidirect
100. #17988902C22semidirect
101. #17988890C22semidirect
102. #17988885C22semidirect
103. #17988884C22semidirect
104. #17988877C22semidirect
105. #17988876C22semidirect
106. #17988868C22semidirect
107. #17988865C22semidirect
108. #17988844C22semidirect
109. #17988843C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988838C22semidirect
113. #17988838C22semidirect
114. #17988835C22semidirect
115. #17988834C22semidirect
116. #17988833C22semidirect
117. #17988830C22semidirect
118. #17988830C22semidirect
119. #17988823C22semidirect
120. #17988822C22semidirect
121. #17988819C22semidirect
122. #17988809C22semidirect
123. #17988807C22semidirect
124. #17988803C22semidirect
125. #17988801C22semidirect
126. #17988785C22semidirect
127. #17988781C22semidirect
128. #17988779C22semidirect
129. #17988747C22semidirect
130. #17988746C22semidirect
131. #17988737C22semidirect
132. #17988736C22semidirect
133. #17988736C22semidirect
134. #17988736C22semidirect
135. #17988734C22semidirect
136. #17988733C22semidirect
137. #17988723C22semidirect
138. #17988722C22semidirect
139. #17988722C22semidirect
140. #17988722C22semidirect
141. #17988721C22semidirect
142. #17988721C22semidirect
143. #17988700C22semidirect
144. #17988696C22semidirect
145. #17988690C22semidirect
146. SD16×Dic73C22semidirect
147. C4×#11924015C22semidirect
148. #17988669C22semidirect
149. C4×#11924013C22semidirect
150. #17988665C22semidirect
151. #17988664C22semidirect
152. #17988662C22semidirect
153. #17988662C22semidirect
154. #17988660C22semidirect
155. #17988658C22semidirect
156. #17988656C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988624C22semidirect
160. #17988612C22semidirect
161. #17988593C22semidirect
162. #17988592C22semidirect
163. #17988592C22semidirect
164. #17988591C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988590C22semidirect
169. #17988590C22semidirect
170. #17988590C22semidirect
171. #17988590C22semidirect
172. #17988586C22semidirect
173. #17988585C22semidirect
174. #17988585C22semidirect
175. #17988585C22semidirect
176. #17988584C22semidirect
177. #17988582C22semidirect
178. #17988580C22semidirect
179. #17988580C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988544C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
233. C2×#11924018C23semidirect
234. C2×#11924017C23semidirect
241. C2×#11924013C23semidirect
244. C2×#11924012C23semidirect
249. C2×#11924011C23semidirect
253. C2×C8×D73C23semidirect
254. #14556591C23semidirect
256. #14556590C23semidirect
266. #14556582C23semidirect
297. #14556567C23semidirect
302. #14556566C23semidirect
307. #14556565C23semidirect
342. Q8×Dic73C23semidirect
349. C4×D292C23semidirect
357. #14556553C23semidirect
368. #14556550C23semidirect
375. #14556549C23semidirect
384. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556525C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556523C23semidirect
398. #14556522C23semidirect
399. #14556522C23semidirect
400. #14556522C23semidirect
401. #14556522C23semidirect
402. C4⋊#10596831C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556516C23semidirect
406. #14556516C23semidirect
407. #14556516C23semidirect
408. #14556515C23semidirect
409. #14556514C23semidirect
410. #14556514C23semidirect
411. #14556514C23semidirect
418. #14556513C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
434. #14556511C23semidirect
436. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. #14556501C23semidirect
442. C4×#10596831C23semidirect
443. C8×Dic73C23semidirect
449. C2×SD16×C73C23semidirect
451. C22×C8×C73C23semidirect
455. #125×C73C23semidirect
458. C22⋊Q8×C73C23semidirect
464. C4×Q8×C73C23semidirect
469. C2×C4⋊C4×C73C23semidirect
470. #107×C73C23semidirect
471. #107×C73C23semidirect
472. #106×C73C23semidirect
473. C4⋊C8×C73C23semidirect
474. #103×C73C23semidirect
481. #102×C73C23semidirect
482. #102×C73C23semidirect
483. #102×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. #97×C73C23semidirect
966. #3310D73semidirect
980. C73#61175semidirect
999. #552C2×D73semidirect
1032. #490C2×D73semidirect
1050. #482C2×D73semidirect
1054. #480C2×D73semidirect
1058. #478C2×D73semidirect
1074. #468C2×D73semidirect
1078. #465C2×D73semidirect
1084. #460C2×D73semidirect
1093. #450C2×D73semidirect
1094. #450C2×D73semidirect
1106. #440C2×D73semidirect
1118. #435C2×D73semidirect
1134. #418C2×D73semidirect
1148. C2×#102C2×D73semidirect
1191. C2×SD16C22×D73semidirect
1210. C22×C8C22×D73semidirect
1229. #125C22×D73semidirect
1261. C22⋊Q8C22×D73semidirect
1315. C4×Q8C22×D73semidirect
1359. C2×C4⋊C4C22×D73semidirect
1372. #107C22×D73semidirect
1373. #107C22×D73semidirect
1379. #106C22×D73semidirect
1383. C4⋊C8C22×D73semidirect
1391. #103C22×D73semidirect
1421. #102C22×D73semidirect
1422. #102C22×D73semidirect
1423. #102C22×D73semidirect
1431. C22⋊C8C22×D73semidirect
1433. #97C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226236492
#226235592
#226221732
#226221712
#226221652
#226221552
#226221512
#226221412
#226221352
#226221292
#226220892
#226220882
#226220712
#226220682
#226219732
#226219722
#226219472
#226202862
#226198822
#226198592
#226197592
#226196042
#226195352
#226194672
#226192362
#226191592
#226187622
#226186292
#226184522
#418×D732
C73×#33102
#6117573