Finite Group Databasebeta

← #33979785

Subgroups — #33979785

Order 18688.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624507C211yesmaximal, characteristic, complemented
2#22623877C211yesmaximal, characteristic, complemented
3#22622996C211yesmaximal, characteristic, complemented
4#22622940C211yesmaximal, characteristic, complemented
5#22622683C211yesmaximal, characteristic, complemented
6#22622585C211yesmaximal, characteristic, complemented
7#22622235C211yesmaximal, characteristic, complemented
8#22622203C211yesmaximal, characteristic, complemented
9#22622188C211yesmaximal, characteristic, complemented
10#22622061C211yesmaximal, characteristic, complemented
11#22621891C211yesmaximal, characteristic, complemented
12#22621774C211yesmaximal, characteristic, complemented
13#22621631C211yesmaximal, characteristic, complemented
14#22621544C211yesmaximal, characteristic, complemented
15#22621540C211yesmaximal, characteristic, complemented
16#22621535C211yesmaximal, characteristic, complemented
17#22621455C211yesmaximal, characteristic, complemented
18#22621419C211yesmaximal, characteristic, complemented
19#22621374C211yesmaximal, characteristic, complemented
20#22621342C211yesmaximal, characteristic, complemented
21#22621330C211yesmaximal, characteristic, complemented
22#22620978C211yesmaximal, characteristic, complemented
23#22620912C211yesmaximal, characteristic, complemented
24#22620175C211yesmaximal, characteristic, complemented
25#22620144C211yesmaximal, characteristic, complemented
26#22619977C211yesmaximal, characteristic, complemented
27#22619473C211yesmaximal, characteristic, complemented
28#22619439C211yesmaximal, characteristic, complemented
29#22619396C211yesmaximal, characteristic, complemented
30#22619074C211yesmaximal, characteristic, complemented
31C73×#3225C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic
36C2×#14556614C2211yescharacteristic
37C22×#11924015C2211yescharacteristic, complemented
38#17989333—21no—
39#17989327—21no—
40#17989319C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic, complemented
43#17989298C2211yescharacteristic, complemented
44#17989288—21no—
45#17989284C2211yescharacteristic
46#17989282—21no—
47#17989271C2211yescharacteristic, complemented
48#17989267—21no—
49#17989264—21no—
50#17989262—21no—
51#17989256C2211yescharacteristic
52#17989248C2211yescharacteristic
53#17989248C2211yescharacteristic, complemented
54#17989240C2211yescharacteristic
55#17989240C2211yescharacteristic, complemented
56#17989230—21no—
57#17989230C2211yescharacteristic
58#17989230C2211yescharacteristic, complemented
59#17989228C2211yescharacteristic
60#17989225C2211yescharacteristic, complemented
61#17989221C2211yescharacteristic, complemented
62#17989198C2211yescharacteristic, complemented
63#17989192C2211yescharacteristic, complemented
64#17989189—21no—
65#17989188C2211yescharacteristic
66#17989183—21no—
67#17989183—21no—
68#17989177—21no—
69#17989173—21no—
70#17989173—21no—
71#17989155C2211yescharacteristic, complemented
72#17989138C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic, complemented
74#17989116C2211yescharacteristic, complemented
75#17989115C2211yescharacteristic
76#17989100—21no—
77#123×D73—21no—
78#17989069C2211yescharacteristic
79#17989061C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic
82#17988972C2211yescharacteristic, complemented
83#17988972C2211yescharacteristic, complemented
84#17988962C2211yescharacteristic
85#17988950C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988896C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988842C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988838C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988836C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic
114#17988819C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic
120#17988805C2211yescharacteristic
121#17988805C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988799C2211yescharacteristic, complemented
128#17988799C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988789C2211yescharacteristic, complemented
132#17988789C2211yescharacteristic, complemented
133#17988789C2211yescharacteristic, complemented
134#17988789C2211yescharacteristic, complemented
135#17988787C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic, complemented
139#17988783C2211yescharacteristic
140#17988783C2211yescharacteristic, complemented
141#17988782C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic
143#17988748C2211yescharacteristic
144#17988748C2211yescharacteristic
145#17988748C2211yescharacteristic, complemented
146#17988748C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic
149#17988735C2211yescharacteristic, complemented
150#17988735C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic
153#17988723C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic
156#17988719C2211yescharacteristic, complemented
157#17988715C2211yescharacteristic, complemented
158C8×Dic146C2211yescharacteristic, complemented
159#17988700C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988694C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163Q16×Dic73C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic
168C4×D584C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988660C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#17988583C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#536×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#487×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#448×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—42no—
214#14556618—42no—
215#14556618—42no—
216#14556616—42no—
217#14556614—42no—
218C2×#11924015—42no—
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924012C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556587—21no—
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586D411yescharacteristic
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556583C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581D411yescharacteristic
262#14556580—21no—
263#14556580—21no—
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556577—21no—
269#14556577—21no—
270#14556577D411yescharacteristic
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576D411yescharacteristic
280#14556575—21no—
281#14556575—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573D411yescharacteristic
292#14556572—21no—
293#14556571—21no—
294#14556571—21no—
295#14556569D411yescharacteristic
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564D411yescharacteristic
326#14556563—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73C2311yescharacteristic
340Q8×Dic73C2311yescharacteristic
341Q8×Dic73C2311yescharacteristic
342Q8×Dic73C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×D292—21no—
345C4×D292—21no—
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358#14556553—21no—
359#14556553—21no—
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73C2311yescharacteristic
367C4×C22⋊D73C2311yescharacteristic
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550C2311yescharacteristic
374#14556549—21no—
375#14556549—21no—
376#14556548—21no—
377#14556548—21no—
378#14556548C2311yescharacteristic
379#14556547—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C2×#11924005—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453C4⋊Q8×C73C2311yescharacteristic
454#126×C73—21no—
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460#123×C73—21no—
461#123×C73—21no—
462C22⋊Q8×C73—21no—
463C22⋊Q8×C73—21no—
464C22⋊Q8×C73—21no—
465C22⋊Q8×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924029—41no—
494#11924029—41no—
495#11924029—82no—
496C2×Dic146C2×D411yescharacteristic
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73C2×D411yescharacteristic
524C2×C22⋊D73C2×D411yescharacteristic
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—82no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—82no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551#11924015—22no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924015—41no—
556#11924015—41no—
557#11924015—41no—
558#11924015—41no—
559D584—22no—
560D584—22no—
561D584—41no—
562D584—41no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924013—41no—
567#11924012—41no—
568#11924011—41no—
569#11924011—41no—
570#11924011—41no—
571C2×#10596831—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—41no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651#41×C73—41no—
652#41×C73—41no—
653C2×Q8×C73—21no—
654C2×Q8×C73—21no—
655C2×Q8×C73—41no—
656C2×Q8×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2411yescharacteristic
669Q16×C73—41no—
670Q16×C73—41no—
671Q16×C73—41no—
672SD16×C73—41no—
673SD16×C73—41no—
674SD16×C73—41no—
675SD16×C73—41no—
676D8×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—21no—
731Q8×C73—21no—
732Q8×C73—81no—
733Q8×C73—81no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—81no—
739D4×C73—81no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
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—81no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—41no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—41no—
789D292—42no—
790D292—42no—
791D292—42no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796D292—81no—
797D292—81no—
798D292H(5,𝔽2)12yes—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—21no—
803C4×D73—41no—
804C4×D73—41no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817C4×D73—81no—
818C4×D73—81no—
819Dic146—41no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—22no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870C4×C73C2×H(5,𝔽2)11yescharacteristic
871C4×C73#58511yescharacteristic
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73#358411yescharacteristic
888C2×C73#358511yescharacteristic
889D73—41no—
890D73—41no—
891D73—42no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225D7311yescharacteristic, complemented
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542C2×D7311yescharacteristic, complemented
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536C2×D7311yescharacteristic, complemented
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497C2×D7311yescharacteristic, complemented
979#496—731no—
980#495—731no—
981#495—731no—
982#495C2×D7311yescharacteristic, complemented
983#493—731no—
984#490—731no—
985#489C2×D7311yescharacteristic, complemented
986#488—731no—
987#488—731no—
988#488—731no—
989#487C2×D7311yescharacteristic, complemented
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464C2×D7311yescharacteristic, complemented
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#463C2×D7311yescharacteristic, complemented
1034#462C2×D7311yescharacteristic, complemented
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461C2×D7311yescharacteristic, complemented
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452C2×D7311yescharacteristic, complemented
1053#451C2×D7311yescharacteristic, complemented
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic
1060#448C2×D7311yescharacteristic, complemented
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433C2×D7311yescharacteristic, complemented
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8C22×D7311yescharacteristic
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16C22×D7311yescharacteristic
1116C2×Q16C22×D7311yescharacteristic
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8C22×D7311yescharacteristic
1147C4⋊Q8C22×D7311yescharacteristic
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#124—21no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124C22×D7311yescharacteristic
1182#124C22×D7311yescharacteristic
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—731no—
1188#123—731no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—731no—
1216C22⋊Q8—731no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8—731no—
1398C2×Q8C23×D7311yescharacteristic
1399C2×Q8C23×D7311yescharacteristic
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—5842no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—5842no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—731no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—81no—
1628Q8—81no—
1629Q8—2921no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—2922no—
1637D4—2921no—
1638D4—2922no—
1639D4—2922no—
1640D4—2921no—
1641D4—2921no—
1642D4—2922no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—732no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—5844no—
1744C22—11682no—
1745C22—11682no—
1746C22—1462no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—2922no—
1781C2—2921no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359811yescharacteristic
1787C2#2262470111yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3225C2
socleC22×C73C23×D4
hypercenter#3225D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #22624507C2semidirect
2. #22623877C2semidirect
3. #22622996C2semidirect
4. #22622940C2semidirect
5. #22622683C2semidirect
6. #22622585C2semidirect
7. #22622235C2semidirect
8. #22622203C2semidirect
9. #22622188C2semidirect
10. #22622061C2semidirect
11. #22621891C2semidirect
12. #22621774C2semidirect
13. #22621631C2semidirect
14. #22621544C2semidirect
15. #22621540C2semidirect
16. #22621535C2semidirect
17. #22621455C2semidirect
18. #22621419C2semidirect
19. #22621374C2semidirect
20. #22621342C2semidirect
21. #22621330C2semidirect
22. #22620978C2semidirect
23. #22620912C2semidirect
24. #22620175C2semidirect
25. #22620144C2semidirect
26. #22619977C2semidirect
27. #22619473C2semidirect
28. #22619439C2semidirect
29. #22619396C2semidirect
30. #22619074C2semidirect
31. C73×#3225C2semidirect
34. C2×#14556618C22semidirect
37. C22×#11924015C22semidirect
40. #17989319C22semidirect
41. #17989319C22semidirect
42. #17989311C22semidirect
43. #17989298C22semidirect
47. #17989271C22semidirect
53. #17989248C22semidirect
55. #17989240C22semidirect
58. #17989230C22semidirect
60. #17989225C22semidirect
61. #17989221C22semidirect
62. #17989198C22semidirect
63. #17989192C22semidirect
71. #17989155C22semidirect
72. #17989138C22semidirect
73. #17989124C22semidirect
74. #17989116C22semidirect
79. #17989061C22semidirect
80. C4×D4×D73C22semidirect
82. #17988972C22semidirect
83. #17988972C22semidirect
85. #17988950C22semidirect
86. #17988943C22semidirect
87. #17988943C22semidirect
88. #17988943C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
92. #17988912C22semidirect
93. #17988912C22semidirect
94. #17988904C22semidirect
95. #17988896C22semidirect
96. #17988896C22semidirect
97. #17988894C22semidirect
98. #17988892C22semidirect
99. #17988889C22semidirect
100. #17988888C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988874C22semidirect
104. #17988864C22semidirect
105. #17988842C22semidirect
107. #17988838C22semidirect
108. #17988836C22semidirect
109. #17988836C22semidirect
110. #17988835C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
114. #17988819C22semidirect
115. #17988818C22semidirect
116. #17988813C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
121. #17988805C22semidirect
122. #17988804C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
127. #17988799C22semidirect
128. #17988799C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988789C22semidirect
132. #17988789C22semidirect
133. #17988789C22semidirect
134. #17988789C22semidirect
135. #17988787C22semidirect
136. #17988785C22semidirect
137. #17988785C22semidirect
138. #17988785C22semidirect
140. #17988783C22semidirect
141. #17988782C22semidirect
145. #17988748C22semidirect
146. #17988748C22semidirect
147. #17988736C22semidirect
149. #17988735C22semidirect
150. #17988735C22semidirect
151. #17988731C22semidirect
153. #17988723C22semidirect
154. #17988722C22semidirect
156. #17988719C22semidirect
157. #17988715C22semidirect
158. C8×Dic146C22semidirect
159. #17988700C22semidirect
160. #17988700C22semidirect
161. #17988694C22semidirect
162. #17988690C22semidirect
163. Q16×Dic73C22semidirect
164. SD16×Dic73C22semidirect
165. #17988672C22semidirect
166. #17988672C22semidirect
168. C4×D584C22semidirect
169. D8×Dic73C22semidirect
171. #17988666C22semidirect
172. #17988662C22semidirect
173. #17988662C22semidirect
174. #17988660C22semidirect
175. #17988655C22semidirect
176. #17988650C22semidirect
177. #17988647C22semidirect
178. #17988639C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988596C22semidirect
183. #17988587C22semidirect
184. #17988587C22semidirect
185. #17988587C22semidirect
186. #17988583C22semidirect
187. #102×D73C22semidirect
188. #542×C73C22semidirect
189. #536×C73C22semidirect
190. #497×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #487×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #461×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
201. #448×C73C22semidirect
202. #433×C73C22semidirect
916. #3225D73semidirect
926. C73#62027semidirect
957. #542C2×D73semidirect
967. #536C2×D73semidirect
978. #497C2×D73semidirect
982. #495C2×D73semidirect
985. #489C2×D73semidirect
989. #487C2×D73semidirect
1020. #464C2×D73semidirect
1033. #463C2×D73semidirect
1034. #462C2×D73semidirect
1039. #461C2×D73semidirect
1052. #452C2×D73semidirect
1053. #451C2×D73semidirect
1060. #448C2×D73semidirect
1087. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245072
#226238772
#226229962
#226229402
#226226832
#226225852
#226222352
#226222032
#226221882
#226220612
#226218912
#226217742
#226216312
#226215442
#226215402
#226215352
#226214552
#226214192
#226213742
#226213422
#226213302
#226209782
#226209122
#226201752
#226201442
#226199772
#226194732
#226194392
#226193962
#226190742
C73×#32252
#6202773