Finite Group Databasebeta

← #33963198

Subgroups — #33963198

Order 18688.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623639C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622072C211yesmaximal, characteristic, complemented
4#22622070C211yesmaximal, characteristic, complemented
5#22622016C211yesmaximal, characteristic, complemented
6#22622006C211yesmaximal, characteristic, complemented
7#22621959C211yesmaximal, characteristic, complemented
8#22621945C211yesmaximal, characteristic, complemented
9#22621895C211yesmaximal, characteristic, complemented
10#22621889C211yesmaximal, characteristic, complemented
11#22621783C211yesmaximal, characteristic, complemented
12#22621777C211yesmaximal, characteristic, complemented
13#22621771C211yesmaximal, characteristic, complemented
14#22621761C211yesmaximal, characteristic, complemented
15#22621750C211yesmaximal, characteristic, complemented
16#22621743C211yesmaximal, characteristic, complemented
17#22621740C211yesmaximal, characteristic, complemented
18#22620280C211yesmaximal, characteristic, complemented
19#22619888C211yesmaximal, characteristic, complemented
20#22619853C211yesmaximal, characteristic, complemented
21#22619757C211yesmaximal, characteristic, complemented
22#22619604C211yesmaximal, characteristic, complemented
23#22619507C211yesmaximal, characteristic, complemented
24#22619467C211yesmaximal, characteristic, complemented
25#22619236C211yesmaximal, characteristic, complemented
26#22619159C211yesmaximal, characteristic, complemented
27#22618758C211yesmaximal, characteristic, complemented
28#22618620C211yesmaximal, characteristic, complemented
29#22618452C211yesmaximal, characteristic, complemented
30C2×#102×D73C211yesmaximal, characteristic, complemented
31C73×#3295C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556597C2211yescharacteristic, complemented
38C22×C8×D73C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic, complemented
40#17989291—21no—
41#17989286—21no—
42#17989285C2211yescharacteristic, complemented
43#17989283C2211yescharacteristic, complemented
44#17989278C2211yescharacteristic, complemented
45#17989271C2211yescharacteristic, complemented
46#17989269—21no—
47#17989240C2211yescharacteristic, complemented
48#17989239—21no—
49#17989238C2211yescharacteristic, complemented
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#17989214C2211yescharacteristic, complemented
62#17989185—21no—
63#17989183—21no—
64#17989167C2211yescharacteristic, complemented
65#17989153C2211yescharacteristic
66#17989150C2211yescharacteristic
67#17989147—21no—
68#17989145—21no—
69#17989100—21no—
70#17989100C2211yescharacteristic, complemented
71#17989097C2211yescharacteristic
72#17989096—21no—
73#17989096C2211yescharacteristic
74C2×#14556559—21no—
75#120×D73—21no—
76#17989069C2211yescharacteristic, complemented
77#17989068C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79C2×C4⋊C4×D73C2211yescharacteristic, complemented
80#17988951C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988949C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988923C2211yescharacteristic, complemented
88#17988922C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988864C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988838C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic, complemented
119#17988817C2211yescharacteristic, complemented
120#17988816C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, 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#17988698C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic, complemented
145#17988688C2211yescharacteristic, complemented
146#17988685C2211yescharacteristic, complemented
147#17988672C2211yescharacteristic, complemented
148C4×D584C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988659C2211yescharacteristic, complemented
152#17988657C2211yescharacteristic, complemented
153#17988655C2211yescharacteristic, complemented
154C8×D292C2211yescharacteristic, complemented
155C8×C22⋊D73C2211yescharacteristic, complemented
156C8×C22⋊D73C2211yescharacteristic, complemented
157#17988626C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988592C2211yescharacteristic, complemented
162#17988590C2211yescharacteristic
163#17988590C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic, complemented
165#17988586C2211yescharacteristic, complemented
166#17988585C2211yescharacteristic, complemented
167#17988585C2211yescharacteristic, complemented
168#17988585C2211yescharacteristic, complemented
169#17988584C2211yescharacteristic, complemented
170#17988582C2211yescharacteristic, complemented
171#17988580C2211yescharacteristic, complemented
172#17988580C2211yescharacteristic, complemented
173C2×#14556513C2211yescharacteristic, complemented
174C2×#14556512C2211yescharacteristic, complemented
175C2×#14556511C2211yescharacteristic, complemented
176#102×D73C2211yescharacteristic
177#102×D73C2211yescharacteristic
178#102×D73C2211yescharacteristic, complemented
179#102×D73C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—24no—
205#14556636—42no—
206C2×#11924029—21no—
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C2×D4×D73—24no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—42no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556618—24no—
234#14556618—42no—
235#14556612—42no—
236C2×#11924018C2311yescharacteristic, complemented
237C2×#11924017C2311yescharacteristic, complemented
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×D584C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic, complemented
245#14556597—42no—
246C2×#11924012C2311yescharacteristic, complemented
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic, complemented
250C22×#10596831C2311yescharacteristic
251C2×C8×D73—42no—
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic, complemented
257#14556590C2311yescharacteristic, complemented
258#14556589—21no—
259#14556587—21no—
260#14556587C2311yescharacteristic
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556584—21no—
265#14556583C2311yescharacteristic, complemented
266#14556582C2311yescharacteristic, complemented
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576D411yescharacteristic
282#14556575—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573D411yescharacteristic
289#14556572—21no—
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569D411yescharacteristic
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567—21no—
300#14556567—21no—
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic, complemented
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic, complemented
307#14556565—21no—
308#14556565—21no—
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic, complemented
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564D411yescharacteristic
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563D411yescharacteristic
323#14556562—21no—
324#14556562—21no—
325#14556562C2311yescharacteristic
326#14556562C2311yescharacteristic
327#14556561—21no—
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561D411yescharacteristic
332#14556560—21no—
333#14556560—21no—
334#14556559—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559D411yescharacteristic
345Q8×Dic73C2311yescharacteristic, complemented
346#14556556—21no—
347C4×D292—21no—
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic, complemented
351D4×Dic73—21no—
352D4×Dic73C2311yescharacteristic
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#14556551—21no—
368#14556551—21no—
369#14556550C2311yescharacteristic, complemented
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic, complemented
374#14556548—21no—
375#14556548—21no—
376#14556548C2311yescharacteristic
377C2×C4⋊Dic73C2311yescharacteristic
378C2×#11924007—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic, complemented
387C2×C22⋊Dic73—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393#14556525C2311yescharacteristic, complemented
394#14556525C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, 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#14556502C2311yescharacteristic, complemented
442#14556501C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C22×D4×C73—21no—
445C22×D4×C73C2311yescharacteristic
446C22×D4×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic, complemented
450C22×C8×C73C2311yescharacteristic
451C22×C8×C73C2311yescharacteristic, complemented
452C4⋊Q8×C73C2311yescharacteristic, complemented
453#127×C73C2311yescharacteristic
454#125×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×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×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic, complemented
470#106×C73C2311yescharacteristic, complemented
471#106×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
486C4×C8×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#11924029—82no—
500#11924028—22no—
501#11924028—22no—
502#11924028—22no—
503#11924028—41no—
504#11924028—82no—
505#11924027—22no—
506#11924027—22no—
507#11924027—22no—
508#11924027—41no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2411yescharacteristic
513C2×D292—22no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—41no—
520C2×D292C2×D411yescharacteristic
521C2×D292C2×D411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
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—21no—
540C2×C22⋊D73—44no—
541C2×C22⋊D73—44no—
542C2×C22⋊D73—44no—
543C2×C22⋊D73—82no—
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—22no—
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—41no—
557D4×D73—44no—
558D4×D73—44no—
559D4×D73—44no—
560D4×D73—82no—
561D4×D73—82no—
562D4×D73#4114yescomplemented
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73C2×D411yescharacteristic
568C2×C4×D73—22no—
569C2×C4×D73—22no—
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×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—82no—
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587#11924018—41no—
588#11924017—41no—
589#11924015—22no—
590#11924015—41no—
591D584—22no—
592D584—41no—
593#11924013—22no—
594#11924013—41no—
595#11924013—41no—
596#11924012—41no—
597#11924011—22no—
598#11924011—22no—
599#11924011—41no—
600C2×#10596831—41no—
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C8×D73—22no—
606C8×D73—22no—
607C8×D73—41no—
608C8×D73—41no—
609C8×D73—41no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73C2×D411yescharacteristic
643C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73C2411yescharacteristic
674C24×C73—21no—
675C24×C73—21no—
676C2×Q8×C73—21no—
677C2×Q8×C73C2411yescharacteristic
678C2×D4×C73—22no—
679C2×D4×C73—22no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—21no—
683C2×D4×C73—21no—
684C2×D4×C73—21no—
685C2×D4×C73—21no—
686C2×D4×C73—41no—
687C2×D4×C73—41no—
688C2×D4×C73—82no—
689C2×D4×C73C2×D411yescharacteristic
690C2×D4×C73C2411yescharacteristic
691C2×D4×C73C2411yescharacteristic
692C2×D4×C73C2411yescharacteristic
693C22×C4×C73—21no—
694C22×C4×C73—21no—
695C22×C4×C73—21no—
696C22×C4×C73C2411yescharacteristic
697C22×C4×C73C2411yescharacteristic
698SD16×C73—22no—
699SD16×C73—41no—
700SD16×C73—41no—
701C2×C8×C73—41no—
702C2×C8×C73—41no—
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C2×C8×C73C2411yescharacteristic
706C2×C8×C73C2411yescharacteristic
707C4⋊C4×C73—21no—
708C4⋊C4×C73—21no—
709C4⋊C4×C73—21no—
710C4⋊C4×C73—21no—
711C4⋊C4×C73—21no—
712C4⋊C4×C73—21no—
713C4⋊C4×C73C2×D411yescharacteristic
714C4⋊C4×C73C2411yescharacteristic
715C4⋊C4×C73C2411yescharacteristic
716C4⋊C4×C73C2411yescharacteristic
717C4⋊C4×C73C2411yescharacteristic
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73C2×D411yescharacteristic
724C22⋊C4×C73C2×D411yescharacteristic
725C42×C73—21no—
726C42×C73C2411yescharacteristic
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—42no—
731C23×C73—42no—
732C23×C73—42no—
733C23×C73—81no—
734C23×C73—81no—
735C23×C73—81no—
736C23×C73C22×D411yescharacteristic
737C23×C73C22×D411yescharacteristic
738C22×D73—22no—
739C22×D73—22no—
740C22×D73—22no—
741C22×D73—21no—
742C22×D73—24no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—816no—
762C22×D73—81no—
763C22×D73C22×D411yescharacteristic
764C22×D73C22×D411yescharacteristic
765C22×D73C22×D411yescharacteristic
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—81no—
769D4×C73—22no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—42no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—81no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73C2×#4112yes—
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—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—81no—
792C2×C4×C73—81no—
793C2×C4×C73—81no—
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—22no—
800C22⋊D73—22no—
801C22⋊D73—22no—
802C22⋊D73—24no—
803C22⋊D73—22no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C2×Dic73—22no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—42no—
825C2×Dic73—42no—
826C2×Dic73—81no—
827C2×Dic73—81no—
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833D292—22no—
834D292—22no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—21no—
839D292—21no—
840D292—42no—
841D292—42no—
842D292—42no—
843D292—81no—
844D292—81no—
845D292C2×#4112yes—
846C4×D73—22no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—22no—
852C4×D73—42no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—81no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73C2×#4112yes—
864C4×D73H(5,𝔽2)12yes—
865Dic146—22no—
866Dic146—21no—
867Dic146—21no—
868Dic146—81no—
869C8×C73—21no—
870C8×C73—21no—
871C8×C73—21no—
872C8×C73—21no—
873#10596831—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—22no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
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—84no—
892C22×C73—162no—
893C22×C73#57712yes—
894C22×C73C23×D411yescharacteristic
895C2×D73—28no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—22no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—84no—
913C2×D73—84no—
914C2×D73—84no—
915C2×D73—84no—
916C2×D73—84no—
917C2×D73—162no—
918C2×D73#54612yes—
919C2×D73#57612yes—
920C4×C73—21no—
921C4×C73—21no—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—41no—
925C4×C73—41no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73C22×#4111yescharacteristic
930C4×C73C2×H(5,𝔽2)11yescharacteristic
931Dic73—21no—
932Dic73—21no—
933Dic73—21no—
934Dic73—21no—
935Dic73—41no—
936Dic73—41no—
937Dic73—41no—
938Dic73—41no—
939Dic73—41no—
940Dic73#54612yes—
941#61167—731nomaximal, Sylow
942C2×C73—22no—
943C2×C73—42no—
944C2×C73—41no—
945C2×C73—81no—
946C2×C73—81no—
947C2×C73C2×#54611yescharacteristic
948C2×C73C2×#57611yescharacteristic
949C2×C73C2×#57711yescharacteristic
950D73—22no—
951D73—22no—
952D73—41no—
953D73—42no—
954D73—81no—
955D73—81no—
956#3492—731no—
957#3484—731no—
958#3318—731no—
959#3318—731no—
960#3314—731no—
961#3314—731no—
962#3310—731no—
963#3310—731no—
964#3306—731no—
965#3306—731no—
966#3297—731no—
967#3297—731no—
968#3296—731no—
969#3296—731no—
970#3295—731no—
971#3295D7311yescharacteristic, complemented
972#3294—731no—
973#3294—731no—
974#3136—731no—
975#3096—731no—
976#3092—731no—
977#3081—731no—
978#3062—731no—
979#3050—731no—
980#3045—731no—
981#3012—731no—
982#3003—731no—
983#2946—731no—
984#2929—731no—
985#2897—731no—
986C22×#102—731no—
987C73#6116711yescharacteristic, complemented, Sylow
988C2×H(5,𝔽2)—731no—
989C23×D4—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×AGL(1,ℤ/8)—731no—
992C2×#135—731no—
993C2×#131—731no—
994C23×C8—731no—
995#554—731no—
996#554—1461no—
997#554C2×D7311yescharacteristic, complemented
998#553—731no—
999#553—731no—
1000#553—1461no—
1001#552—731no—
1002#552—731no—
1003#552—1461no—
1004#547—731no—
1005#547—731no—
1006#547—1461no—
1007#546—731no—
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—731no—
1016D42—1461no—
1017D42—1461no—
1018D42C2×D7311yescharacteristic
1019#544—731no—
1020#539—1461no—
1021#539—1461no—
1022#537—731no—
1023#535—731no—
1024#535—731no—
1025#534—1461no—
1026#534—1461no—
1027#525—731no—
1028#525—731no—
1029#525—731no—
1030#525—1461no—
1031#525—1461no—
1032C2×#120—1461no—
1033C2×#120—1461no—
1034#520—731no—
1035#520—731no—
1036#518—731no—
1037C22×C4⋊C4—731no—
1038#490—731no—
1039#490—731no—
1040#489—731no—
1041#489—731no—
1042#488—731no—
1043#488—731no—
1044#486—731no—
1045#486C2×D7311yescharacteristic, complemented
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#483—731no—
1050#482—731no—
1051#482—731no—
1052#482—731no—
1053#482—731no—
1054#481—731no—
1055#481—731no—
1056#481C2×D7311yescharacteristic, complemented
1057#481C2×D7311yescharacteristic, complemented
1058#480—731no—
1059#480—731no—
1060#480—731no—
1061#480—731no—
1062#478—731no—
1063#478—731no—
1064#478—731no—
1065#478—731no—
1066#476—731no—
1067#476C2×D7311yescharacteristic, complemented
1068#474—731no—
1069#474—731no—
1070#469—731no—
1071#469—731no—
1072#468—731no—
1073#468—731no—
1074#467—731no—
1075#467—731no—
1076#466—731no—
1077#466—731no—
1078#466—731no—
1079#466—731no—
1080#465—731no—
1081#465—731no—
1082#465—731no—
1083#465—731no—
1084#465C2×D7311yescharacteristic, complemented
1085#465C2×D7311yescharacteristic, complemented
1086#464—731no—
1087#464—731no—
1088#463—731no—
1089#463—731no—
1090#460—731no—
1091#460C2×D7311yescharacteristic, complemented
1092#459—731no—
1093#459—731no—
1094#452—731no—
1095#452—731no—
1096#450—731no—
1097#450—731no—
1098#450—731no—
1099#450—731no—
1100#450C2×D7311yescharacteristic, complemented
1101#450C2×D7311yescharacteristic, complemented
1102#449—731no—
1103#449—731no—
1104#447—731no—
1105#447—731no—
1106#447—731no—
1107#447—731no—
1108#447—731no—
1109#447—731no—
1110#442—731no—
1111#442—731no—
1112#440—731no—
1113#440—731no—
1114C4×SD16—731no—
1115C4×SD16C2×D7311yescharacteristic, complemented
1116C4×D8—731no—
1117C4×D8—731no—
1118#435—731no—
1119#435—731no—
1120#435—731no—
1121#435—731no—
1122C8×D4—731no—
1123C8×D4—731no—
1124C8×D4—731no—
1125C8×D4C2×D7311yescharacteristic, complemented
1126#428—731no—
1127#428—731no—
1128#427—731no—
1129#424—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418—731no—
1134#417—731no—
1135#417—731no—
1136#417—731no—
1137#417—731no—
1138#416—731no—
1139#416—731no—
1140#416—731no—
1141#416—731no—
1142C2×#102—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145C2×#102—731no—
1146C2×#102—731no—
1147C2×#102—731no—
1148C2×#102—731no—
1149C2×#102—731no—
1150C2×#102—731no—
1151C2×#102—731no—
1152C2×#102—731no—
1153C2×#102—731no—
1154C2×#102C2×D7311yescharacteristic, complemented
1155C2×#102C2×D7311yescharacteristic, complemented
1156#408—731no—
1157#407—731no—
1158#405—731no—
1159C25—1461no—
1160H(5,𝔽2)—2922no—
1161H(5,𝔽2)—1464no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—731no—
1166C2×#41—731no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41—1461no—
1170C22×D4—21no—
1171C22×D4—2922no—
1172C22×D4—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1464no—
1183C22×D4—1461no—
1184C22×D4—1461no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4C22×D7311yescharacteristic
1189C22×D4C22×D7311yescharacteristic
1190C23×C4—731no—
1191C23×C4—1461no—
1192AGL(1,ℤ/8)—2922no—
1193AGL(1,ℤ/8)—1464no—
1194#135—2922no—
1195C2×Q16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16C22×D7311yescharacteristic
1200C2×SD16C22×D7311yescharacteristic
1201C2×SD16C22×D7311yescharacteristic, complemented
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8—731no—
1205C2×D8—731no—
1206C2×D8—731no—
1207#131—2922no—
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C22×C8—2922no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8—731no—
1216C22×C8—731no—
1217C22×C8—731no—
1218C22×C8—731no—
1219C22×C8C22×D7311yescharacteristic
1220C22×C8C22×D7311yescharacteristic, complemented
1221C4⋊Q8—731no—
1222C4⋊Q8—1461no—
1223C4⋊Q8C22×D7311yescharacteristic, complemented
1224#127—731no—
1225#127—1461no—
1226#127C22×D7311yescharacteristic
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#125—21no—
1232#125—731no—
1233#125—731no—
1234#125—1461no—
1235#125—1461no—
1236#125—1461no—
1237#125—1461no—
1238#124—731no—
1239#124—731no—
1240#124—1461no—
1241#123—731no—
1242#123—731no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—1461no—
1266C22⋊Q8—1461no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8C22×D7311yescharacteristic
1273C22⋊Q8C22×D7311yescharacteristic, complemented
1274#121—21no—
1275#121—731no—
1276#121—731no—
1277#121—731no—
1278#121—731no—
1279#121—731no—
1280#121—731no—
1281#121—731no—
1282#121—731no—
1283#121—731no—
1284#121—731no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121C22×D7311yescharacteristic
1300#121C22×D7311yescharacteristic
1301#120—21no—
1302#120—21no—
1303#120—731no—
1304#120—731no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311#120—1461no—
1312#120—1461no—
1313#120—1461no—
1314#120—1461no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321C4×Q8—731no—
1322C4×Q8—1461no—
1323C4×Q8C22×D7311yescharacteristic, complemented
1324C4×D4—21no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—731no—
1331C4×D4—731no—
1332C4×D4—731no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4C22×D7311yescharacteristic
1348C4×D4C22×D7311yescharacteristic
1349#117—731no—
1350#117—731no—
1351#117—731no—
1352#117—731no—
1353#117—731no—
1354#117—1461no—
1355#117—1461no—
1356#117—1461no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—731no—
1360C2×C4⋊C4—731no—
1361C2×C4⋊C4—731no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—1461no—
1364C2×C4⋊C4—1461no—
1365C2×C4⋊C4—1461no—
1366C2×C4⋊C4—1461no—
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C4⋊C4C22×D7311yescharacteristic, complemented
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372C2×C22⋊C4—1461no—
1373C2×C22⋊C4—1461no—
1374C2×C22⋊C4—1461no—
1375#107—731no—
1376#107—731no—
1377#107—731no—
1378#107—731no—
1379#107—731no—
1380#107—731no—
1381#106—731no—
1382#106—731no—
1383#106—731no—
1384#106C22×D7311yescharacteristic, complemented
1385#106C22×D7311yescharacteristic, complemented
1386#106C22×D7311yescharacteristic, complemented
1387C4⋊C8—731no—
1388C4⋊C8—731no—
1389C4⋊C8—731no—
1390C4⋊C8C22×D7311yescharacteristic, complemented
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103C22×D7311yescharacteristic, complemented
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#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425#102C22×D7311yescharacteristic
1426#102C22×D7311yescharacteristic
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic, complemented
1429#102C22×D7311yescharacteristic, complemented
1430#102C22×D7311yescharacteristic, complemented
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8C22×D7311yescharacteristic
1438C22⋊C8C22×D7311yescharacteristic, complemented
1439#97—731no—
1440#97—731no—
1441C4×C8—731no—
1442C4×C8C22×D7311yescharacteristic, complemented
1443C24—21no—
1444C24—21no—
1445C24—2924no—
1446C24—5842no—
1447C24—5842no—
1448C24—731no—
1449C24—1461no—
1450C24—1461no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455#41—2921no—
1456#41—2924no—
1457#41—2921no—
1458#41—5842no—
1459#41—5842no—
1460#41—1462no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467#41—1462no—
1468C2×Q8—21no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1461no—
1472C2×Q8C23×D7311yescharacteristic
1473C2×D4—22no—
1474C2×D4—22no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—82no—
1484C2×D4—2921no—
1485C2×D4—2924no—
1486C2×D4—2924no—
1487C2×D4—2924no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2924no—
1494C2×D4—5842no—
1495C2×D4—5842no—
1496C2×D4—5842no—
1497C2×D4—734no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1462no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1462no—
1513C2×D4—1462no—
1514C2×D4—1462no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1462no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4D4×D7311yescharacteristic
1535C2×D4C23×D7311yescharacteristic
1536C2×D4C23×D7311yescharacteristic
1537C2×D4C23×D7311yescharacteristic
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—5842no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
1547C22×C4—731no—
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—1462no—
1557C22×C4—1462no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4C23×D7311yescharacteristic
1566C22×C4C23×D7311yescharacteristic
1567Q16—2921no—
1568SD16—22no—
1569SD16—41no—
1570SD16—41no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—1462no—
1574D8—2921no—
1575D8—2921no—
1576D8—2921no—
1577D8—1462no—
1578D8—1462no—
1579M16—2921no—
1580M16—2921no—
1581M16—1462no—
1582M16—1462no—
1583C2×C8—41no—
1584C2×C8—41no—
1585C2×C8—2921no—
1586C2×C8—2921no—
1587C2×C8—2921no—
1588C2×C8—2921no—
1589C2×C8—731no—
1590C2×C8—731no—
1591C2×C8—731no—
1592C2×C8—731no—
1593C2×C8—1462no—
1594C2×C8—1462no—
1595C2×C8C23×D7311yescharacteristic
1596C2×C8C23×D7311yescharacteristic
1597C2×C8C23×D7311yescharacteristic
1598C2×C8C23×D7311yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1631C4⋊C4C23×D7311yescharacteristic
1632C4⋊C4C23×D7311yescharacteristic
1633C4⋊C4C23×D7311yescharacteristic
1634C4⋊C4C23×D7311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
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⋊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⋊C4D4×D7311yescharacteristic
1674C22⋊C4D4×D7311yescharacteristic
1675C42—21no—
1676C42—731no—
1677C42—1461no—
1678C42—1461no—
1679C42—1461no—
1680C42—1461no—
1681C42—1461no—
1682C42C23×D7311yescharacteristic
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—42no—
1687C23—42no—
1688C23—42no—
1689C23—81no—
1690C23—81no—
1691C23—81no—
1692C23—2922no—
1693C23—2922no—
1694C23—2922no—
1695C23—2922no—
1696C23—2922no—
1697C23—2922no—
1698C23—2922no—
1699C23—2922no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—5841no—
1708C23—5841no—
1709C23—58416no—
1710C23—731no—
1711C23—731no—
1712C23—731no—
1713C23—1464no—
1714C23—1462no—
1715C23—1462no—
1716C23—1461no—
1717C23—1461no—
1718C23—1461no—
1719C23—1462no—
1720C23C2×D4×D7311yescharacteristic
1721C23C2×D4×D7311yescharacteristic
1722Q8—21no—
1723Q8—21no—
1724Q8—81no—
1725Q8—5841no—
1726Q8—1462no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—22no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—732no—
1761D4—1462no—
1762D4—1462no—
1763D4—1464no—
1764D4—1462no—
1765D4—1462no—
1766D4—1462no—
1767D4—1462no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771D4—1461no—
1772D4—1461no—
1773D4#41×D7312yes—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—5841no—
1801C2×C4—731no—
1802C2×C4—732no—
1803C2×C4—732no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—731no—
1807C2×C4—731no—
1808C2×C4—1462no—
1809C2×C4—1462no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1462no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4—1461no—
1819C2×C4—1461no—
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C2×D4×D7311yescharacteristic
1822C2×C4C2×D4×D7311yescharacteristic
1823C2×C4C2×D4×D7311yescharacteristic
1824C2×C4C24×D7311yescharacteristic
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—1461no—
1830C8—1461no—
1831C8—1461no—
1832C8—1461no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—84no—
1848C22—162no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—5844no—
1858C22—5844no—
1859C22—5844no—
1860C22—5844no—
1861C22—5844no—
1862C22—732no—
1863C22—732no—
1864C22—11682no—
1865C22—1468no—
1866C22—1462no—
1867C22—1461no—
1868C22—1461no—
1869C22—1461no—
1870C22—1461no—
1871C22—1461no—
1872C22—1461no—
1873C22—1461no—
1874C22#1798939312yes—
1875C22C22×D4×D7311yescharacteristic
1876C4—21no—
1877C4—21no—
1878C4—21no—
1879C4—21no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—2921no—
1886C4—2921no—
1887C4—2921no—
1888C4—2921no—
1889C4—2921no—
1890C4—732no—
1891C4—1461no—
1892C4—1461no—
1893C4—1461no—
1894C4—1461no—
1895C4C2×#41×D7311yescharacteristic
1896C4H(5,𝔽2)×D7311yescharacteristic
1897C2—22no—
1898C2—41no—
1899C2—42no—
1900C2—81no—
1901C2—81no—
1902C2—2922no—
1903C2—2921no—
1904C2—5841no—
1905C2—5841no—
1906C2—1462no—
1907C2—1462no—
1908C2#546×D7311yescharacteristic
1909C2#576×D7311yescharacteristic
1910C2C2×#1798939311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3295C2
socleC22×C73C23×D4
hypercenter#3295D73
hypocenterC73#61167
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #22623639C2semidirect
2. #22623559C2semidirect
3. #22622072C2semidirect
4. #22622070C2semidirect
5. #22622016C2semidirect
6. #22622006C2semidirect
7. #22621959C2semidirect
8. #22621945C2semidirect
9. #22621895C2semidirect
10. #22621889C2semidirect
11. #22621783C2semidirect
12. #22621777C2semidirect
13. #22621771C2semidirect
14. #22621761C2semidirect
15. #22621750C2semidirect
16. #22621743C2semidirect
17. #22621740C2semidirect
18. #22620280C2semidirect
19. #22619888C2semidirect
20. #22619853C2semidirect
21. #22619757C2semidirect
22. #22619604C2semidirect
23. #22619507C2semidirect
24. #22619467C2semidirect
25. #22619236C2semidirect
26. #22619159C2semidirect
27. #22618758C2semidirect
28. #22618620C2semidirect
29. #22618452C2semidirect
30. C2×#102×D73C2semidirect
31. C73×#3295C2semidirect
35. C2×#14556618C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556597C22semidirect
38. C22×C8×D73C22semidirect
39. #17989295C22semidirect
42. #17989285C22semidirect
43. #17989283C22semidirect
44. #17989278C22semidirect
45. #17989271C22semidirect
47. #17989240C22semidirect
49. #17989238C22semidirect
61. #17989214C22semidirect
64. #17989167C22semidirect
70. #17989100C22semidirect
76. #17989069C22semidirect
77. #17989068C22semidirect
79. C2×C4⋊C4×D73C22semidirect
80. #17988951C22semidirect
81. #17988950C22semidirect
82. #17988949C22semidirect
83. #17988945C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988932C22semidirect
87. #17988923C22semidirect
88. #17988922C22semidirect
89. #17988919C22semidirect
90. #17988919C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988910C22semidirect
94. #17988908C22semidirect
95. #17988907C22semidirect
96. #17988903C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988899C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988886C22semidirect
105. #17988876C22semidirect
106. #17988865C22semidirect
107. #17988864C22semidirect
108. #17988841C22semidirect
109. #17988838C22semidirect
110. #17988835C22semidirect
111. #17988830C22semidirect
112. #17988827C22semidirect
113. #17988826C22semidirect
114. #17988823C22semidirect
115. #17988822C22semidirect
116. #17988822C22semidirect
117. #17988821C22semidirect
118. #17988819C22semidirect
119. #17988817C22semidirect
120. #17988816C22semidirect
121. #17988813C22semidirect
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. #17988698C22semidirect
144. #17988697C22semidirect
145. #17988688C22semidirect
146. #17988685C22semidirect
147. #17988672C22semidirect
148. C4×D584C22semidirect
149. #17988667C22semidirect
150. #17988661C22semidirect
151. #17988659C22semidirect
152. #17988657C22semidirect
153. #17988655C22semidirect
154. C8×D292C22semidirect
155. C8×C22⋊D73C22semidirect
156. C8×C22⋊D73C22semidirect
157. #17988626C22semidirect
158. #17988626C22semidirect
159. #17988622C22semidirect
160. #17988612C22semidirect
161. #17988592C22semidirect
163. #17988590C22semidirect
164. #17988590C22semidirect
165. #17988586C22semidirect
166. #17988585C22semidirect
167. #17988585C22semidirect
168. #17988585C22semidirect
169. #17988584C22semidirect
170. #17988582C22semidirect
171. #17988580C22semidirect
172. #17988580C22semidirect
173. C2×#14556513C22semidirect
174. C2×#14556512C22semidirect
175. C2×#14556511C22semidirect
178. #102×D73C22semidirect
179. #102×D73C22semidirect
180. #102×D73C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988541C22semidirect
188. #554×C73C22semidirect
190. #486×C73C22semidirect
191. #481×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #465×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. C2×#102×C73C22semidirect
202. C2×#102×C73C22semidirect
236. C2×#11924018C23semidirect
237. C2×#11924017C23semidirect
244. C2×#11924013C23semidirect
246. C2×#11924012C23semidirect
249. C2×#11924011C23semidirect
256. C2×C8×D73C23semidirect
257. #14556590C23semidirect
265. #14556583C23semidirect
266. #14556582C23semidirect
302. #14556567C23semidirect
306. #14556566C23semidirect
311. #14556565C23semidirect
345. Q8×Dic73C23semidirect
350. C4×D292C23semidirect
357. #14556553C23semidirect
369. #14556550C23semidirect
373. #14556549C23semidirect
386. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556525C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556523C23semidirect
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. #14556502C23semidirect
442. #14556501C23semidirect
443. C8×Dic73C23semidirect
449. C2×SD16×C73C23semidirect
451. C22×C8×C73C23semidirect
452. C4⋊Q8×C73C23semidirect
458. C22⋊Q8×C73C23semidirect
464. C4×Q8×C73C23semidirect
469. C2×C4⋊C4×C73C23semidirect
470. #106×C73C23semidirect
471. #106×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. C4×C8×C73C23semidirect
562. D4×D73#41semidirect
971. #3295D73semidirect
987. C73#61167semidirect
997. #554C2×D73semidirect
1045. #486C2×D73semidirect
1056. #481C2×D73semidirect
1057. #481C2×D73semidirect
1067. #476C2×D73semidirect
1084. #465C2×D73semidirect
1085. #465C2×D73semidirect
1091. #460C2×D73semidirect
1100. #450C2×D73semidirect
1101. #450C2×D73semidirect
1115. C4×SD16C2×D73semidirect
1125. C8×D4C2×D73semidirect
1154. C2×#102C2×D73semidirect
1155. C2×#102C2×D73semidirect
1201. C2×SD16C22×D73semidirect
1220. C22×C8C22×D73semidirect
1223. C4⋊Q8C22×D73semidirect
1273. C22⋊Q8C22×D73semidirect
1323. C4×Q8C22×D73semidirect
1368. C2×C4⋊C4C22×D73semidirect
1384. #106C22×D73semidirect
1385. #106C22×D73semidirect
1386. #106C22×D73semidirect
1390. C4⋊C8C22×D73semidirect
1398. #103C22×D73semidirect
1428. #102C22×D73semidirect
1429. #102C22×D73semidirect
1430. #102C22×D73semidirect
1438. C22⋊C8C22×D73semidirect
1442. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226236392
#226235592
#226220722
#226220702
#226220162
#226220062
#226219592
#226219452
#226218952
#226218892
#226217832
#226217772
#226217712
#226217612
#226217502
#226217432
#226217402
#226202802
#226198882
#226198532
#226197572
#226196042
#226195072
#226194672
#226192362
#226191592
#226187582
#226186202
#226184522
C2×#102×D732
C73×#32952
#6116773