Finite Group Databasebeta

← #33978936

Subgroups — #33978936

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623892C211yesmaximal, characteristic, complemented
2#22623006C211yesmaximal, characteristic, complemented
3#22622997C211yesmaximal, characteristic, complemented
4#22622758C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622111C211yesmaximal, characteristic, complemented
7#22622081C211yesmaximal, characteristic, complemented
8#22621976C211yesmaximal, characteristic, complemented
9#22621946C211yesmaximal, characteristic, complemented
10#22621812C211yesmaximal, characteristic, complemented
11#22621760C211yesmaximal, characteristic, complemented
12#22621634C211yesmaximal, characteristic, complemented
13#22621612C211yesmaximal, characteristic, complemented
14#22621482C211yesmaximal, characteristic, complemented
15#22621457C211yesmaximal, characteristic, complemented
16#22621437C211yesmaximal, characteristic, complemented
17#22621412C211yesmaximal, characteristic, complemented
18#22621327C211yesmaximal, characteristic, complemented
19#22621278C211yesmaximal, characteristic, complemented
20#22621262C211yesmaximal, characteristic, complemented
21#22620964C211yesmaximal, characteristic, complemented
22#22620930C211yesmaximal, characteristic, complemented
23#22620892C211yesmaximal, characteristic, complemented
24#22620069C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22619949C211yesmaximal, characteristic, complemented
27#22619425C211yesmaximal, characteristic, complemented
28#22619386C211yesmaximal, characteristic, complemented
29C2×#17988802C211yesmaximal, characteristic, complemented
30#22619056C211yesmaximal, characteristic, complemented
31C73×#3475C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic, complemented
33C2×#14556616C2211yescharacteristic
34C2×#14556611C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C22×#11924016C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989310C2211yescharacteristic, complemented
40#17989300—21no—
41#17989261—21no—
42#17989261—21no—
43D4×Dic146C2211yescharacteristic
44#17989246C2211yescharacteristic
45#17989246C2211yescharacteristic, complemented
46#17989233C2211yescharacteristic
47#17989233C2211yescharacteristic, complemented
48#17989225—21no—
49D4×D292C2211yescharacteristic
50#17989209—21no—
51#17989170—21no—
52#17989170—21no—
53#17989137C2211yescharacteristic, complemented
54#17989121C2211yescharacteristic
55#17989121C2211yescharacteristic, complemented
56#17989121C2211yescharacteristic, complemented
57C2×#14556579C2211yescharacteristic
58C2×#14556579C2211yescharacteristic, complemented
59#17989059—21no—
60#17988982C2211yescharacteristic, complemented
61#17988979C2211yescharacteristic, complemented
62#17988979C2211yescharacteristic, complemented
63#17988977C2211yescharacteristic
64#17988969C2211yescharacteristic
65#17988969C2211yescharacteristic, complemented
66#17988957C2211yescharacteristic, complemented
67#17988953C2211yescharacteristic, complemented
68#17988949C2211yescharacteristic, complemented
69#17988949C2211yescharacteristic, complemented
70#17988944C2211yescharacteristic, complemented
71#17988944C2211yescharacteristic, complemented
72#17988928C2211yescharacteristic, complemented
73#17988928C2211yescharacteristic, complemented
74#17988917C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988911C2211yescharacteristic, complemented
77#17988900C2211yescharacteristic
78#17988894C2211yescharacteristic, complemented
79#17988894C2211yescharacteristic, complemented
80#17988891C2211yescharacteristic, complemented
81#17988891C2211yescharacteristic, complemented
82#17988887C2211yescharacteristic, complemented
83#17988887C2211yescharacteristic, complemented
84#17988884C2211yescharacteristic, complemented
85#17988884C2211yescharacteristic, complemented
86#17988869C2211yescharacteristic, complemented
87#17988864C2211yescharacteristic, complemented
88#17988843C2211yescharacteristic, complemented
89#17988838C2211yescharacteristic
90#17988835C2211yescharacteristic, complemented
91#17988831C2211yescharacteristic, complemented
92#17988826C2211yescharacteristic, complemented
93#17988826C2211yescharacteristic, complemented
94#17988826C2211yescharacteristic, complemented
95#17988821C2211yescharacteristic
96#17988818C2211yescharacteristic
97#17988818C2211yescharacteristic
98#17988818C2211yescharacteristic, complemented
99#17988814C2211yescharacteristic, complemented
100#17988809C2211yescharacteristic, complemented
101#17988809C2211yescharacteristic, complemented
102#17988809C2211yescharacteristic, complemented
103#17988809C2211yescharacteristic, complemented
104#17988809C2211yescharacteristic, complemented
105#17988809C2211yescharacteristic, complemented
106#17988809C2211yescharacteristic, complemented
107#17988809C2211yescharacteristic, complemented
108#17988806C2211yescharacteristic, complemented
109#17988806C2211yescharacteristic, complemented
110#17988802C2211yescharacteristic
111#17988802C2211yescharacteristic
112#17988802C2211yescharacteristic
113#17988802C2211yescharacteristic
114#17988802C2211yescharacteristic
115#17988802C2211yescharacteristic, complemented
116#17988802C2211yescharacteristic, complemented
117#17988802C2211yescharacteristic, complemented
118#17988802C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic
123#17988799C2211yescharacteristic, complemented
124#17988797C2211yescharacteristic, complemented
125#17988794C2211yescharacteristic, complemented
126#17988792C2211yescharacteristic, complemented
127#17988789C2211yescharacteristic, complemented
128#17988787C2211yescharacteristic, complemented
129#17988782C2211yescharacteristic
130#17988749C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988742C2211yescharacteristic, complemented
135#17988742C2211yescharacteristic, complemented
136#17988742C2211yescharacteristic, complemented
137#17988738C2211yescharacteristic, complemented
138#17988737C2211yescharacteristic
139#17988737C2211yescharacteristic
140#17988737C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic
142#17988732C2211yescharacteristic
143#17988730C2211yescharacteristic, complemented
144#17988730C2211yescharacteristic, complemented
145#17988725C2211yescharacteristic, complemented
146#17988721C2211yescharacteristic
147#17988720C2211yescharacteristic
148#17988718C2211yescharacteristic, complemented
149#17988718C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic
151#17988697C2211yescharacteristic, complemented
152#17988697C2211yescharacteristic, complemented
153#17988692C2211yescharacteristic, complemented
154#17988687C2211yescharacteristic, complemented
155#17988687C2211yescharacteristic, complemented
156#17988687C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic, complemented
158C4×#11924018C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160C4×#11924016C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic
163#17988659C2211yescharacteristic
164#17988659C2211yescharacteristic, complemented
165#17988659C2211yescharacteristic, complemented
166D4×#10596831C2211yescharacteristic, complemented
167D4×#10596831C2211yescharacteristic, complemented
168#17988644C2211yescharacteristic, complemented
169#17988644C2211yescharacteristic, complemented
170#17988640C2211yescharacteristic, complemented
171#17988611C2211yescharacteristic, complemented
172C2×C4⋊#10596831C2211yescharacteristic, complemented
173C2×C4⋊#10596831C2211yescharacteristic, complemented
174#17988595C2211yescharacteristic, complemented
175#17988591C2211yescharacteristic, complemented
176#17988581C2211yescharacteristic, complemented
177#17988581C2211yescharacteristic, complemented
178C2×#14556514C2211yescharacteristic, complemented
179C2×#14556511C2211yescharacteristic
180#556×C73C2211yescharacteristic, complemented
181#555×C73C2211yescharacteristic, complemented
182#554×C73C2211yescharacteristic, complemented
183#553×C73—21no—
184#552×C73—21no—
185#552×C73C2211yescharacteristic
186#552×C73C2211yescharacteristic, complemented
187#551×C73—21no—
188#551×C73—21no—
189#547×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#533×C73C2211yescharacteristic, complemented
193#529×C73—21no—
194#529×C73—21no—
195#529×C73C2211yescharacteristic, complemented
196#529×C73C2211yescharacteristic, complemented
197#525×C73—21no—
198C4×#41×C73C2211yescharacteristic
199C4×#41×C73C2211yescharacteristic, complemented
200C4×#41×C73C2211yescharacteristic, complemented
201C2×C4×D4×C73C2211yescharacteristic, complemented
202C2×#117×C73—21no—
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210#14556621—42no—
211#14556616—42no—
212#14556611—42no—
213#14556611—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924016—42no—
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924013—42no—
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924012C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C22×#10596831C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556590—21no—
248#14556588C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556585—21no—
252#14556585—21no—
253#14556585—21no—
254#14556583C2311yescharacteristic
255#14556580—21no—
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556579C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556570C2311yescharacteristic
277#14556570C2311yescharacteristic
278#14556570C2311yescharacteristic
279#14556569—21no—
280#14556569—21no—
281#14556568—21no—
282#14556568—21no—
283#14556567—21no—
284#14556566—21no—
285#14556565—21no—
286#14556565—21no—
287#14556565C2311yescharacteristic
288#14556565C2311yescharacteristic
289#14556565C2311yescharacteristic
290#14556564—21no—
291#14556564—21no—
292#14556563—21no—
293#14556563—21no—
294#14556561—21no—
295#14556561—21no—
296#14556559—21no—
297#14556559—21no—
298C4×Dic146C2311yescharacteristic
299C4×Dic146C2311yescharacteristic
300C4×Dic146C2311yescharacteristic
301C4×D292—21no—
302C4×D292—21no—
303C4×D292C2311yescharacteristic
304C4×D292C2311yescharacteristic
305C4×D292C2311yescharacteristic
306D4×Dic73—21no—
307#14556553—21no—
308C4×C22⋊D73—21no—
309C4×C22⋊D73—21no—
310C4×C22⋊D73—21no—
311#14556551—21no—
312#14556551—21no—
313#14556549—21no—
314#14556548—21no—
315#14556548—21no—
316#14556548—21no—
317C2×#11924005—21no—
318C2×#11924005—21no—
319C2×#11924005—21no—
320C2×#11924005—21no—
321C22⋊C4×D73—21no—
322C22⋊C4×D73—21no—
323#14556524C2311yescharacteristic
324#14556524C2311yescharacteristic
325#14556524C2311yescharacteristic
326#14556524C2311yescharacteristic
327#14556522C2311yescharacteristic
328#14556522C2311yescharacteristic
329#14556522C2311yescharacteristic
330#14556522C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334C4⋊#10596831C2311yescharacteristic
335C4⋊#10596831C2311yescharacteristic
336C4⋊#10596831C2311yescharacteristic
337C4⋊#10596831C2311yescharacteristic
338C4⋊#10596831C2311yescharacteristic
339C4⋊#10596831C2311yescharacteristic
340C4⋊#10596831C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556514C2311yescharacteristic
346#14556514C2311yescharacteristic
347#14556514C2311yescharacteristic
348#14556514C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556514C2311yescharacteristic
355#14556514C2311yescharacteristic
356#14556514C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556512C2311yescharacteristic
360#14556512C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366#14556511C2311yescharacteristic
367#14556511C2311yescharacteristic
368#14556511C2311yescharacteristic
369#14556511C2311yescharacteristic
370#14556511C2311yescharacteristic
371#14556511C2311yescharacteristic
372#14556511C2311yescharacteristic
373C22⋊#10596831C2311yescharacteristic
374C22⋊#10596831C2311yescharacteristic
375C22⋊#10596831C2311yescharacteristic
376C22⋊#10596831C2311yescharacteristic
377C22⋊#10596831C2311yescharacteristic
378C22⋊#10596831C2311yescharacteristic
379#14556502C2311yescharacteristic
380#14556502C2311yescharacteristic
381#14556502C2311yescharacteristic
382#14556502C2311yescharacteristic
383C4×#10596831C2311yescharacteristic
384C4×#10596831C2311yescharacteristic
385C2×#41×C73D411yescharacteristic
386C2×#41×C73C2311yescharacteristic
387C2×#41×C73C2311yescharacteristic
388C22×D4×C73C2311yescharacteristic
389C23×C4×C73—21no—
390C4⋊Q8×C73C2311yescharacteristic
391C4⋊Q8×C73C2311yescharacteristic
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#126×C73—21no—
396#126×C73—21no—
397#126×C73—21no—
398#125×C73—21no—
399#125×C73—21no—
400#125×C73—21no—
401#125×C73C2311yescharacteristic
402#125×C73C2311yescharacteristic
403#124×C73—21no—
404#124×C73—21no—
405#124×C73C2311yescharacteristic
406#124×C73C2311yescharacteristic
407#123×C73—21no—
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414#123×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73—21no—
418C22⋊Q8×C73—21no—
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73C2311yescharacteristic
421C22⋊Q8×C73C2311yescharacteristic
422C22⋊Q8×C73C2311yescharacteristic
423C22⋊Q8×C73C2311yescharacteristic
424#121×C73—21no—
425#121×C73—21no—
426#121×C73—21no—
427#121×C73—21no—
428#121×C73C2311yescharacteristic
429#121×C73C2311yescharacteristic
430#120×C73—21no—
431#120×C73—21no—
432C4×Q8×C73—21no—
433C4×Q8×C73D411yescharacteristic
434C4×Q8×C73C2311yescharacteristic
435C4×Q8×C73C2311yescharacteristic
436C4×Q8×C73C2311yescharacteristic
437C4×Q8×C73C2311yescharacteristic
438C4×Q8×C73C2311yescharacteristic
439C4×D4×C73—21no—
440C4×D4×C73—21no—
441C4×D4×C73—21no—
442C4×D4×C73—21no—
443C4×D4×C73—21no—
444C4×D4×C73—21no—
445C4×D4×C73—21no—
446C4×D4×C73—21no—
447C4×D4×C73D411yescharacteristic
448C4×D4×C73D411yescharacteristic
449C4×D4×C73D411yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73—21no—
465#117×C73—21no—
466#117×C73—21no—
467#117×C73—21no—
468#117×C73D411yescharacteristic
469#117×C73D411yescharacteristic
470#117×C73D411yescharacteristic
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73—21no—
474C2×C4⋊C4×C73—21no—
475C2×C4⋊C4×C73C2311yescharacteristic
476C2×C22⋊C4×C73—21no—
477C2×C22⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
479C2×C42×C73—21no—
480C2×C42×C73—21no—
481C2×C42×C73C2311yescharacteristic
482C2×C42×C73C2311yescharacteristic
483C2×C42×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146—41no—
494C2×Dic146—41no—
495C2×Dic146—41no—
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515D4×D73—44no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523#11924018—41no—
524#11924018—41no—
525#11924018—41no—
526#11924018—41no—
527#11924018—41no—
528#11924018—41no—
529#11924016—22no—
530#11924016—22no—
531#11924016—22no—
532#11924016—41no—
533#11924016—41no—
534#11924016—41no—
535#11924015—41no—
536#11924015—41no—
537#11924015—41no—
538#11924015—41no—
539#11924015—41no—
540#11924015—41no—
541#11924013—22no—
542#11924013—22no—
543#11924013—22no—
544#11924013—41no—
545#11924013—41no—
546#11924013—41no—
547#11924012—41no—
548#11924012—41no—
549C2×#10596831—41no—
550C2×#10596831—41no—
551C2×#10596831—41no—
552C2×#10596831—41no—
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576#11924005—21no—
577#11924005—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596C4×Dic73—21no—
597C4×Dic73—21no—
598C4×Dic73—21no—
599C24×C73—21no—
600#41×C73—22no—
601#41×C73—22no—
602#41×C73—42no—
603#41×C73—41no—
604#41×C73—41no—
605C2×Q8×C73—21no—
606C2×Q8×C73C2×D411yescharacteristic
607C2×Q8×C73C2411yescharacteristic
608C2×Q8×C73C2411yescharacteristic
609C2×D4×C73—22no—
610C2×D4×C73—21no—
611C2×D4×C73—21no—
612C2×D4×C73—21no—
613C2×D4×C73—21no—
614C2×D4×C73—21no—
615C2×D4×C73—41no—
616C2×D4×C73C2×D411yescharacteristic
617C2×D4×C73C2×D411yescharacteristic
618C2×D4×C73C2×D411yescharacteristic
619C2×D4×C73C2411yescharacteristic
620C2×D4×C73C2411yescharacteristic
621C22×C4×C73—21no—
622C22×C4×C73—21no—
623C22×C4×C73—21no—
624C22×C4×C73—21no—
625C22×C4×C73—21no—
626C22×C4×C73—21no—
627C22×C4×C73—21no—
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73—44no—
631C22×C4×C73C2×D411yescharacteristic
632C22×C4×C73C2×D411yescharacteristic
633C22×C4×C73C2×D411yescharacteristic
634C22×C4×C73C2×D411yescharacteristic
635C22×C4×C73C2×D411yescharacteristic
636C22×C4×C73C2×D411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639C22×C4×C73C2411yescharacteristic
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2×D411yescharacteristic
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2×D411yescharacteristic
661C4⋊C4×C73C2×D411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73—21no—
692C42×C73—21no—
693C42×C73—21no—
694C42×C73—21no—
695C42×C73—21no—
696C42×C73C2×D411yescharacteristic
697C42×C73C2×D411yescharacteristic
698C42×C73C2×D411yescharacteristic
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2×D411yescharacteristic
702C42×C73C2411yescharacteristic
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—42no—
709C23×C73—42no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—41no—
728Q8×C73—81no—
729D4×C73—22no—
730D4×C73—22no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—41no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73H(5,𝔽2)12yes—
741C2×C4×C73—22no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—41no—
755C2×C4×C73—41no—
756C2×C4×C73—41no—
757C2×C4×C73—41no—
758C2×C4×C73—41no—
759C2×C4×C73—42no—
760C2×C4×C73—42no—
761C2×C4×C73—42no—
762C2×C4×C73—42no—
763C2×C4×C73—42no—
764C2×C4×C73—42no—
765C2×C4×C73—42no—
766C2×C4×C73—81no—
767C2×C4×C73—81no—
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C2511yescharacteristic
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—42no—
799D292—81no—
800D292—81no—
801D292—81no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—21no—
813Dic146—81no—
814Dic146—81no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—22no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—84no—
838C22×C73#57512yes—
839C22×C73C23×D411yescharacteristic
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—162no—
850C2×D73—162no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—41no—
879C2×C73—42no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—81no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475D7311yescharacteristic, complemented
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556C2×D7311yescharacteristic, complemented
928#555—1461no—
929#555C2×D7311yescharacteristic, complemented
930#554C2×D7311yescharacteristic, complemented
931#553—21no—
932#552—21no—
933#552C2×D7311yescharacteristic
934#552C2×D7311yescharacteristic, complemented
935#551—21no—
936#551—21no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547C2×D7311yescharacteristic, complemented
943#546—731no—
944#546—731no—
945#546—1461no—
946#546C2×D7311yescharacteristic
947#546C2×D7311yescharacteristic, complemented
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533C2×D7311yescharacteristic, complemented
953#532—731no—
954#529—21no—
955#529—21no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529C2×D7311yescharacteristic, complemented
960#529C2×D7311yescharacteristic, complemented
961C2×#124—731no—
962C2×#124—731no—
963#525—21no—
964#518—1461no—
965C4×#41C2×D7311yescharacteristic
966C4×#41C2×D7311yescharacteristic, complemented
967C4×#41C2×D7311yescharacteristic, complemented
968C2×C4×D4C2×D7311yescharacteristic, complemented
969C2×#117—21no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41C22⋊D7311yescharacteristic
1093C2×#41C22×D7311yescharacteristic
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—21no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8—731no—
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141C4⋊Q8C22×D7311yescharacteristic
1142#127—731no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—21no—
1155#125—21no—
1156#125—21no—
1157#125—731no—
1158#125C22×D7311yescharacteristic
1159#125C22×D7311yescharacteristic
1160#124—21no—
1161#124—21no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—731no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8C22×D7311yescharacteristic
1207C22⋊Q8C22×D7311yescharacteristic
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—731no—
1215#121—731no—
1216#121—731no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#120—21no—
1227#120—21no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—21no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8C22⋊D7311yescharacteristic
1237C4×Q8C22×D7311yescharacteristic
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22⋊D7311yescharacteristic
1263C4×D4C22⋊D7311yescharacteristic
1264C4×D4C22⋊D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266C4×D4C22×D7311yescharacteristic
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117—21no—
1281#117—21no—
1282#117—21no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117C22⋊D7311yescharacteristic
1288#117C22⋊D7311yescharacteristic
1289#117C22⋊D7311yescharacteristic
1290#117C22×D7311yescharacteristic
1291#117C22×D7311yescharacteristic
1292C2×C4⋊C4—21no—
1293C2×C4⋊C4—21no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—21no—
1305C2×C42—21no—
1306C2×C42C22×D7311yescharacteristic
1307C2×C42C22×D7311yescharacteristic
1308C2×C42C22×D7311yescharacteristic
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—21no—
1372C24—1461no—
1373C24—1461no—
1374#41—22no—
1375#41—22no—
1376#41—42no—
1377#41—41no—
1378#41—41no—
1379#41—2921no—
1380#41—2921no—
1381#41—2921no—
1382#41—2921no—
1383C2×Q8—21no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8C2×C22⋊D7311yescharacteristic
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—2921no—
1407C2×D4—2924no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4C2×C22⋊D7311yescharacteristic
1421C2×D4C2×C22⋊D7311yescharacteristic
1422C2×D4C2×C22⋊D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—44no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C2×C22⋊D7311yescharacteristic
1443C22×C4C2×C22⋊D7311yescharacteristic
1444C22×C4C2×C22⋊D7311yescharacteristic
1445C22×C4C2×C22⋊D7311yescharacteristic
1446C22×C4C2×C22⋊D7311yescharacteristic
1447C22×C4C2×C22⋊D7311yescharacteristic
1448C22×C4C23×D7311yescharacteristic
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—2921no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—2921no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—2921no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8—731no—
1487C2×C8—731no—
1488C2×C8—731no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4C2×C22⋊D7311yescharacteristic
1518C4⋊C4C2×C22⋊D7311yescharacteristic
1519C4⋊C4C2×C22⋊D7311yescharacteristic
1520C4⋊C4C2×C22⋊D7311yescharacteristic
1521C4⋊C4C2×C22⋊D7311yescharacteristic
1522C4⋊C4C2×C22⋊D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4C2×C22⋊D7311yescharacteristic
1569C22⋊C4C2×C22⋊D7311yescharacteristic
1570C22⋊C4C2×C22⋊D7311yescharacteristic
1571C22⋊C4C2×C22⋊D7311yescharacteristic
1572C22⋊C4C2×C22⋊D7311yescharacteristic
1573C22⋊C4C2×C22⋊D7311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42C2×C22⋊D7311yescharacteristic
1584C42C2×C22⋊D7311yescharacteristic
1585C42C2×C22⋊D7311yescharacteristic
1586C42C2×C22⋊D7311yescharacteristic
1587C42C2×C22⋊D7311yescharacteristic
1588C42C2×C22⋊D7311yescharacteristic
1589C42C23×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—42no—
1597C23—81no—
1598C23—2922no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23C22×C22⋊D7311yescharacteristic
1608C23C22×C22⋊D7311yescharacteristic
1609C23C22×C22⋊D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—41no—
1615Q8—81no—
1616Q8—5841no—
1617Q8—5841no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—22no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—41no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663712yes—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—2922no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4C22×C22⋊D7311yescharacteristic
1691C2×C4C22×C22⋊D7311yescharacteristic
1692C2×C4C22×C22⋊D7311yescharacteristic
1693C2×C4C22×C22⋊D7311yescharacteristic
1694C2×C4C22×C22⋊D7311yescharacteristic
1695C2×C4C22×C22⋊D7311yescharacteristic
1696C2×C4C22×C22⋊D7311yescharacteristic
1697C2×C4C22×C22⋊D7311yescharacteristic
1698C2×C4C22×C22⋊D7311yescharacteristic
1699C2×C4C22×C22⋊D7311yescharacteristic
1700C2×C4C22×C22⋊D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—1461no—
1703C8—1461no—
1704C8—1461no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—22no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—11682no—
1735C22—11682no—
1736C22#1798938512yes—
1737C22C23×C22⋊D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—2921no—
1756C4—2921no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4C2×#1455663711yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—5841no—
1768C2—5841no—
1769C2—5841no—
1770C2#2262360011yescharacteristic
1771C2C2×#1798938511yescharacteristic
1772C2#2262470211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3475C2
socleC22×C73C23×D4
hypercenter#3475D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #22623892C2semidirect
2. #22623006C2semidirect
3. #22622997C2semidirect
4. #22622758C2semidirect
5. #22622684C2semidirect
6. #22622111C2semidirect
7. #22622081C2semidirect
8. #22621976C2semidirect
9. #22621946C2semidirect
10. #22621812C2semidirect
11. #22621760C2semidirect
12. #22621634C2semidirect
13. #22621612C2semidirect
14. #22621482C2semidirect
15. #22621457C2semidirect
16. #22621437C2semidirect
17. #22621412C2semidirect
18. #22621327C2semidirect
19. #22621278C2semidirect
20. #22621262C2semidirect
21. #22620964C2semidirect
22. #22620930C2semidirect
23. #22620892C2semidirect
24. #22620069C2semidirect
25. #22620040C2semidirect
26. #22619949C2semidirect
27. #22619425C2semidirect
28. #22619386C2semidirect
29. C2×#17988802C2semidirect
30. #22619056C2semidirect
31. C73×#3475C2semidirect
32. C2×#14556621C22semidirect
34. C2×#14556611C22semidirect
35. C2×#14556611C22semidirect
36. C22×#11924016C22semidirect
38. #17989322C22semidirect
39. #17989310C22semidirect
45. #17989246C22semidirect
47. #17989233C22semidirect
53. #17989137C22semidirect
55. #17989121C22semidirect
56. #17989121C22semidirect
58. C2×#14556579C22semidirect
60. #17988982C22semidirect
61. #17988979C22semidirect
62. #17988979C22semidirect
65. #17988969C22semidirect
66. #17988957C22semidirect
67. #17988953C22semidirect
68. #17988949C22semidirect
69. #17988949C22semidirect
70. #17988944C22semidirect
71. #17988944C22semidirect
72. #17988928C22semidirect
73. #17988928C22semidirect
74. #17988917C22semidirect
75. #17988911C22semidirect
76. #17988911C22semidirect
78. #17988894C22semidirect
79. #17988894C22semidirect
80. #17988891C22semidirect
81. #17988891C22semidirect
82. #17988887C22semidirect
83. #17988887C22semidirect
84. #17988884C22semidirect
85. #17988884C22semidirect
86. #17988869C22semidirect
87. #17988864C22semidirect
88. #17988843C22semidirect
90. #17988835C22semidirect
91. #17988831C22semidirect
92. #17988826C22semidirect
93. #17988826C22semidirect
94. #17988826C22semidirect
98. #17988818C22semidirect
99. #17988814C22semidirect
100. #17988809C22semidirect
101. #17988809C22semidirect
102. #17988809C22semidirect
103. #17988809C22semidirect
104. #17988809C22semidirect
105. #17988809C22semidirect
106. #17988809C22semidirect
107. #17988809C22semidirect
108. #17988806C22semidirect
109. #17988806C22semidirect
115. #17988802C22semidirect
116. #17988802C22semidirect
117. #17988802C22semidirect
118. #17988802C22semidirect
119. #17988802C22semidirect
120. #17988802C22semidirect
121. #17988802C22semidirect
123. #17988799C22semidirect
124. #17988797C22semidirect
125. #17988794C22semidirect
126. #17988792C22semidirect
127. #17988789C22semidirect
128. #17988787C22semidirect
130. #17988749C22semidirect
131. #17988749C22semidirect
132. #17988747C22semidirect
133. #17988747C22semidirect
134. #17988742C22semidirect
135. #17988742C22semidirect
136. #17988742C22semidirect
137. #17988738C22semidirect
140. #17988737C22semidirect
143. #17988730C22semidirect
144. #17988730C22semidirect
145. #17988725C22semidirect
148. #17988718C22semidirect
149. #17988718C22semidirect
151. #17988697C22semidirect
152. #17988697C22semidirect
153. #17988692C22semidirect
154. #17988687C22semidirect
155. #17988687C22semidirect
156. #17988687C22semidirect
157. #17988685C22semidirect
158. C4×#11924018C22semidirect
159. C4×#11924015C22semidirect
160. C4×#11924016C22semidirect
161. C4×#11924013C22semidirect
164. #17988659C22semidirect
165. #17988659C22semidirect
166. D4×#10596831C22semidirect
167. D4×#10596831C22semidirect
168. #17988644C22semidirect
169. #17988644C22semidirect
170. #17988640C22semidirect
171. #17988611C22semidirect
172. C2×C4⋊#10596831C22semidirect
173. C2×C4⋊#10596831C22semidirect
174. #17988595C22semidirect
175. #17988591C22semidirect
176. #17988581C22semidirect
177. #17988581C22semidirect
178. C2×#14556514C22semidirect
180. #556×C73C22semidirect
181. #555×C73C22semidirect
182. #554×C73C22semidirect
186. #552×C73C22semidirect
189. #547×C73C22semidirect
191. #546×C73C22semidirect
192. #533×C73C22semidirect
195. #529×C73C22semidirect
196. #529×C73C22semidirect
199. C4×#41×C73C22semidirect
200. C4×#41×C73C22semidirect
201. C2×C4×D4×C73C22semidirect
888. #3475D73semidirect
918. C73#61990semidirect
927. #556C2×D73semidirect
929. #555C2×D73semidirect
930. #554C2×D73semidirect
934. #552C2×D73semidirect
942. #547C2×D73semidirect
947. #546C2×D73semidirect
952. #533C2×D73semidirect
959. #529C2×D73semidirect
960. #529C2×D73semidirect
966. C4×#41C2×D73semidirect
967. C4×#41C2×D73semidirect
968. C2×C4×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238922
#226230062
#226229972
#226227582
#226226842
#226221112
#226220812
#226219762
#226219462
#226218122
#226217602
#226216342
#226216122
#226214822
#226214572
#226214372
#226214122
#226213272
#226212782
#226212622
#226209642
#226209302
#226208922
#226200692
#226200402
#226199492
#226194252
#226193862
C2×#179888022
#226190562
C73×#34752
#6199073