Finite Group Databasebeta

← #33964884

Subgroups — #33964884

Order 18688.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623639C211yesmaximal, characteristic, complemented
2#22623633C211yesmaximal, characteristic, complemented
3#22622408C211yesmaximal, characteristic, complemented
4#22622401C211yesmaximal, characteristic, complemented
5#22622399C211yesmaximal, characteristic, complemented
6#22622394C211yesmaximal, characteristic, complemented
7#22622390C211yesmaximal, characteristic, complemented
8#22622389C211yesmaximal, characteristic, complemented
9#22622383C211yesmaximal, characteristic, complemented
10#22622380C211yesmaximal, characteristic, complemented
11#22622315C211yesmaximal, characteristic, complemented
12#22622312C211yesmaximal, characteristic, complemented
13#22622306C211yesmaximal, characteristic, complemented
14#22622305C211yesmaximal, characteristic, complemented
15#22622287C211yesmaximal, characteristic, complemented
16#22622284C211yesmaximal, characteristic, complemented
17#22622283C211yesmaximal, characteristic, complemented
18#22620456C211yesmaximal, characteristic, complemented
19#22619921C211yesmaximal, characteristic, complemented
20#22619915C211yesmaximal, characteristic, complemented
21#22619855C211yesmaximal, characteristic, complemented
22#22619853C211yesmaximal, characteristic, complemented
23#22619790C211yesmaximal, characteristic, complemented
24#22619788C211yesmaximal, characteristic, complemented
25#22619588C211yesmaximal, characteristic, complemented
26#22619507C211yesmaximal, characteristic, complemented
27#22618809C211yesmaximal, characteristic, complemented
28#22618620C211yesmaximal, characteristic, complemented
29#22618522C211yesmaximal, characteristic, complemented
30C2×#106×D73C211yesmaximal, characteristic, complemented
31C73×#3335C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic
33C2×#14556597C2211yescharacteristic
34C22×C8×D73C2211yescharacteristic
35#17989298C2211yescharacteristic
36#17989295C2211yescharacteristic
37#17989292C2211yescharacteristic
38#17989291—21no—
39#17989291—21no—
40#17989287C2211yescharacteristic
41#17989286—21no—
42#17989285C2211yescharacteristic
43#17989284C2211yescharacteristic
44#17989283C2211yescharacteristic
45#17989282—21no—
46#17989278C2211yescharacteristic
47#17989277C2211yescharacteristic
48#17989274—21no—
49#17989272C2211yescharacteristic
50#17989271C2211yescharacteristic
51#17989269—21no—
52#17989240C2211yescharacteristic
53#17989239—21no—
54#17989238C2211yescharacteristic
55#17989237C2211yescharacteristic
56#17989236—21no—
57#17989214C2211yescharacteristic
58#17989214C2211yescharacteristic
59#17989185—21no—
60#17989183—21no—
61#17989183—21no—
62#17989180—21no—
63#17989167C2211yescharacteristic
64#17989166C2211yescharacteristic
65#17989100—21no—
66#17989100C2211yescharacteristic
67#17989097C2211yescharacteristic
68#17989096—21no—
69#17989096C2211yescharacteristic
70#17989095—21no—
71#17989094—21no—
72#17989069C2211yescharacteristic
73#17989068C2211yescharacteristic
74#17989068C2211yescharacteristic
75#17989066C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988993C2211yescharacteristic, complemented
81#17988993C2211yescharacteristic, complemented
82#17988989C2211yescharacteristic, complemented
83#17988987C2211yescharacteristic, complemented
84#17988984C2211yescharacteristic, complemented
85#17988931C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic
90#17988922C2211yescharacteristic
91#17988921C2211yescharacteristic
92#17988921C2211yescharacteristic
93#17988919C2211yescharacteristic
94#17988919C2211yescharacteristic
95#17988919C2211yescharacteristic, complemented
96#17988917C2211yescharacteristic, complemented
97#17988916C2211yescharacteristic, complemented
98#17988915C2211yescharacteristic
99#17988913C2211yescharacteristic, complemented
100#17988912C2211yescharacteristic, complemented
101#17988909C2211yescharacteristic, complemented
102#17988908C2211yescharacteristic, complemented
103#17988907C2211yescharacteristic
104#17988907C2211yescharacteristic
105#17988907C2211yescharacteristic, complemented
106#17988905C2211yescharacteristic, complemented
107#17988904C2211yescharacteristic, complemented
108#17988903C2211yescharacteristic
109#17988901C2211yescharacteristic
110#17988900C2211yescharacteristic
111#17988899C2211yescharacteristic
112#17988899C2211yescharacteristic
113#17988897C2211yescharacteristic, complemented
114#17988896C2211yescharacteristic, complemented
115#17988895C2211yescharacteristic, complemented
116#17988894C2211yescharacteristic, complemented
117#17988888C2211yescharacteristic, complemented
118#17988887C2211yescharacteristic, complemented
119#17988886C2211yescharacteristic, complemented
120#17988885C2211yescharacteristic, complemented
121#17988876C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988874C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988870C2211yescharacteristic, complemented
126#17988869C2211yescharacteristic, complemented
127#17988844C2211yescharacteristic, complemented
128#17988843C2211yescharacteristic, complemented
129#17988839C2211yescharacteristic, complemented
130#17988838C2211yescharacteristic, complemented
131#17988827C2211yescharacteristic
132#17988826C2211yescharacteristic
133#17988822C2211yescharacteristic
134#17988821C2211yescharacteristic
135#17988817C2211yescharacteristic
136#17988817C2211yescharacteristic, complemented
137#17988816C2211yescharacteristic
138#17988816C2211yescharacteristic, complemented
139#17988813C2211yescharacteristic
140#17988813C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988696C2211yescharacteristic, complemented
143#17988692C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145C4×#11924017C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147#17988674C2211yescharacteristic, complemented
148#17988661C2211yescharacteristic
149#17988659C2211yescharacteristic
150#17988657C2211yescharacteristic
151#17988655C2211yescharacteristic
152C8×D292C2211yescharacteristic
153C8×C22⋊D73C2211yescharacteristic
154C8×C22⋊D73C2211yescharacteristic
155#17988627C2211yescharacteristic, complemented
156#17988627C2211yescharacteristic, complemented
157#17988626C2211yescharacteristic
158#17988626C2211yescharacteristic
159#17988626C2211yescharacteristic
160#17988626C2211yescharacteristic
161#17988626C2211yescharacteristic, complemented
162#17988626C2211yescharacteristic, complemented
163#17988625C2211yescharacteristic, complemented
164#17988622C2211yescharacteristic
165#17988622C2211yescharacteristic, complemented
166C2×#14556523C2211yescharacteristic
167C2×#14556522C2211yescharacteristic
168C2×#14556522C2211yescharacteristic
169#106×D73C2211yescharacteristic
170#106×D73C2211yescharacteristic
171#106×D73C2211yescharacteristic
172#106×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#106×D73C2211yescharacteristic
175#106×D73C2211yescharacteristic
176#106×D73C2211yescharacteristic
177#106×D73C2211yescharacteristic, complemented
178#17988612C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988587C2211yescharacteristic
181#17988585C2211yescharacteristic
182#17988585C2211yescharacteristic
183#17988582C2211yescharacteristic
184#17988580C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988549C2211yescharacteristic
187#17988541C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic
190#498×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic
192#483×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic
194#481×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic
198#465×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic
201C2×#106×C73C2211yescharacteristic
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027C2311yescharacteristic
209C22×C4×D73—21no—
210C22×C4×D73—21no—
211C22×C4×D73C2311yescharacteristic
212#14556612—24no—
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216#14556597—24no—
217C2×#11924012C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C2×#11924011C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73—24no—
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556589—21no—
231#14556589—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556585—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556583C2311yescharacteristic
241#14556583C2311yescharacteristic
242#14556582—21no—
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556576—21no—
254#14556576—21no—
255#14556576—21no—
256#14556576—21no—
257#14556576—21no—
258#14556576—21no—
259#14556576D411yescharacteristic
260#14556574—21no—
261#14556574—21no—
262#14556574—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573D411yescharacteristic
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556571—21no—
272#14556571C2311yescharacteristic
273#14556571C2311yescharacteristic
274#14556570—21no—
275#14556570C2311yescharacteristic
276#14556570C2311yescharacteristic
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569D411yescharacteristic
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568D411yescharacteristic
287#14556567—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567C2311yescharacteristic
293#14556567C2311yescharacteristic
294#14556566—21no—
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565—21no—
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564D411yescharacteristic
305#14556563—21no—
306#14556563—21no—
307#14556563D411yescharacteristic
308#14556562—21no—
309#14556562—21no—
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561D411yescharacteristic
314#14556559—21no—
315#14556559D411yescharacteristic
316Q8×Dic73C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318#14556556—21no—
319#14556556—21no—
320#14556556C2311yescharacteristic
321C4×D292—21no—
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324D4×Dic73—21no—
325D4×Dic73C2311yescharacteristic
326#14556553—21no—
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553—21no—
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73C2311yescharacteristic
341C4×C22⋊D73C2311yescharacteristic
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556550—21no—
349#14556550C2311yescharacteristic
350#14556550C2311yescharacteristic
351#14556549—21no—
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556547—21no—
360#14556547—21no—
361C2×C4⋊Dic73C2311yescharacteristic
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C4⋊C4×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408C4⋊#10596831C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#125×C73—21no—
445#123×C73—21no—
446#123×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73C2×D411yescharacteristic
482#11924029—22no—
483#11924029—22no—
484#11924029—82no—
485#11924028—22no—
486#11924028—22no—
487#11924028—82no—
488#11924027—22no—
489#11924027—22no—
490#11924027—82no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292C2×D411yescharacteristic
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73C2×D411yescharacteristic
515C2×C4×D73—22no—
516C2×C4×D73—22no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—82no—
531C2×C4×D73—82no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537#11924018—22no—
538#11924017—22no—
539#11924013—22no—
540#11924012—22no—
541#11924011—22no—
542#11924011—22no—
543#11924011—22no—
544C2×#10596831—22no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C8×D73—22no—
550C8×D73—22no—
551C8×D73—22no—
552C8×D73—22no—
553C8×D73#4114yescomplemented
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2411yescharacteristic
635#41×C73—82no—
636C2×Q8×C73—21no—
637C2×Q8×C73—21no—
638C2×Q8×C73C2411yescharacteristic
639C2×D4×C73—21no—
640C2×D4×C73—21no—
641C2×D4×C73C2×D411yescharacteristic
642C2×D4×C73C2411yescharacteristic
643C22×C4×C73—21no—
644C22×C4×C73—21no—
645C22×C4×C73—21no—
646C22×C4×C73—21no—
647C22×C4×C73—21no—
648C22×C4×C73C2411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650SD16×C73—22no—
651C2×C8×C73—22no—
652C2×C8×C73—22no—
653C2×C8×C73C2411yescharacteristic
654C2×C8×C73C2411yescharacteristic
655C2×C8×C73C2411yescharacteristic
656C2×C8×C73C2411yescharacteristic
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73C2×D411yescharacteristic
667C4⋊C4×C73C2411yescharacteristic
668C4⋊C4×C73C2411yescharacteristic
669C4⋊C4×C73C2411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73C2×D411yescharacteristic
679C22⋊C4×C73C2×D411yescharacteristic
680C42×C73—21no—
681C42×C73C2411yescharacteristic
682C23×C73—21no—
683C23×C73C22×D411yescharacteristic
684C23×C73C22×D411yescharacteristic
685C22×D73—22no—
686C22×D73—22no—
687C22×D73—22no—
688C22×D73—21no—
689C22×D73C22×D411yescharacteristic
690C22×D73C22×D411yescharacteristic
691C22×D73C22×D411yescharacteristic
692Q8×C73—21no—
693Q8×C73—21no—
694Q8×C73—81no—
695Q8×C73—81no—
696D4×C73—22no—
697D4×C73—21no—
698D4×C73—21no—
699D4×C73—42no—
700D4×C73—81no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—42no—
713C2×C4×C73—81no—
714C2×C4×C73—81no—
715C2×C4×C73—81no—
716C2×C4×C73—81no—
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C2511yescharacteristic
722C22⋊D73—22no—
723C22⋊D73—22no—
724C22⋊D73—22no—
725C22⋊D73—22no—
726C22⋊D73—42no—
727C22⋊D73—42no—
728C22⋊D73—42no—
729C22⋊D73—81no—
730C22⋊D73—81no—
731C2×Dic73—22no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—42no—
740C2×Dic73—42no—
741C2×Dic73—81no—
742C2×Dic73—81no—
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748D292—22no—
749D292—22no—
750D292—21no—
751D292—21no—
752D292—42no—
753D292—42no—
754D292—81no—
755C4×D73—22no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—21no—
759C4×D73—21no—
760C4×D73—22no—
761C4×D73—42no—
762C4×D73—42no—
763C4×D73—42no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767C4×D73—81no—
768C4×D73—81no—
769C4×D73—81no—
770C4×D73—81no—
771C4×D73—81no—
772C4×D73—81no—
773C4×D73—81no—
774C4×D73C2×#4112yes—
775C4×D732−1+412yes—
776Dic146—22no—
777Dic146—21no—
778Dic146—21no—
779Dic146—81no—
780Dic146—81no—
781C8×C73—21no—
782C8×C73—21no—
783C8×C73—21no—
784C8×C73C2×#4112yes—
785#10596831—21no—
786#10596831—21no—
787#10596831—21no—
788#10596831C2×#4112yes—
789C22×C73—21no—
790C22×C73—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73#57712yes—
798C22×C73C23×D411yescharacteristic
799C2×D73—28no—
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73#54712yes—
811C2×D73#57712yes—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73C22×#4111yescharacteristic
824C4×C73C2×2−1+411yescharacteristic
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#54712yes—
837#61259—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—81no—
841C2×C73C2×#54711yescharacteristic
842C2×C73C2×#57711yescharacteristic
843C2×C73C2×#57711yescharacteristic
844D73—22no—
845D73—22no—
846D73—41no—
847D73—81no—
848#3492—731no—
849#3492—731no—
850#3345—731no—
851#3345—731no—
852#3345—731no—
853#3345—731no—
854#3344—731no—
855#3344—731no—
856#3344—731no—
857#3344—731no—
858#3337—731no—
859#3337—731no—
860#3337—731no—
861#3337—731no—
862#3335—731no—
863#3335—731no—
864#3335—731no—
865#3335D7311yescharacteristic, complemented
866#3163—731no—
867#3099—731no—
868#3099—731no—
869#3092—731no—
870#3092—731no—
871#3084—731no—
872#3084—731no—
873#3060—731no—
874#3050—731no—
875#2952—731no—
876#2929—731no—
877#2912—731no—
878C22×#106—731no—
879C73#6125911yescharacteristic, complemented, Sylow
880C2×#135—731no—
881C2×#131—731no—
882C23×C8—731no—
883#554—731no—
884#554—731no—
885#554—731no—
886#554—1461no—
887#554—1461no—
888#554C2×D7311yescharacteristic
889#553—731no—
890#553—731no—
891#553—731no—
892#553—731no—
893#553—1461no—
894#553—1461no—
895#552—731no—
896#552—731no—
897#552—731no—
898#552—731no—
899#552—1461no—
900#552—1461no—
901#547—731no—
902#547—731no—
903#547—731no—
904#547—1461no—
905#547—1461no—
906#547C2×D7311yescharacteristic
907#544—731no—
908#544—731no—
909#539—1461no—
910#539—1461no—
911#539—1461no—
912#539—1461no—
913#537—731no—
914#537—731no—
915#525—731no—
916#525—731no—
917#525—731no—
918#525—1461no—
919#525—1461no—
920#525—1461no—
921#525—1461no—
922#520—731no—
923#520—731no—
924#520—731no—
925#520—731no—
926C22×C4⋊C4—731no—
927C22×C4⋊C4—731no—
928#501—731no—
929#501—731no—
930#501—731no—
931#501—731no—
932#499—731no—
933#499—731no—
934#498—731no—
935#498C2×D7311yescharacteristic, complemented
936#485—731no—
937#485—731no—
938#485—731no—
939#485—731no—
940#484—731no—
941#484—731no—
942#484—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#483—731no—
948#483—731no—
949#483—731no—
950#483C2×D7311yescharacteristic
951#483C2×D7311yescharacteristic, complemented
952#482—731no—
953#482—731no—
954#482—731no—
955#482—731no—
956#481—731no—
957#481—731no—
958#481—731no—
959#481—731no—
960#481—731no—
961#481—731no—
962#481C2×D7311yescharacteristic
963#481C2×D7311yescharacteristic, complemented
964#480—731no—
965#480—731no—
966#480—731no—
967#480—731no—
968#479—731no—
969#479—731no—
970#479—731no—
971#479—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#478—731no—
976#476—731no—
977#476—731no—
978#476—731no—
979#476C2×D7311yescharacteristic, complemented
980#475—731no—
981#475—731no—
982#475—731no—
983#475C2×D7311yescharacteristic, complemented
984#470—731no—
985#470—731no—
986#469—731no—
987#469—731no—
988#467—731no—
989#467—731no—
990#466—731no—
991#466—731no—
992#465—731no—
993#465—731no—
994#465—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465C2×D7311yescharacteristic
999#465C2×D7311yescharacteristic, complemented
1000#442—731no—
1001#442—731no—
1002#441—731no—
1003#441—731no—
1004C4×SD16—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16C2×D7311yescharacteristic, complemented
1008#435—731no—
1009#435—731no—
1010#435—731no—
1011#435—731no—
1012C8×D4—731no—
1013C8×D4—731no—
1014C8×D4—731no—
1015C8×D4C2×D7311yescharacteristic
1016#428—731no—
1017#428—731no—
1018#428—731no—
1019#428—731no—
1020#428—731no—
1021#428—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027C2×#106—731no—
1028C2×#106—731no—
1029C2×#106—731no—
1030C2×#106—731no—
1031C2×#106—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035C2×#106—731no—
1036C2×#106—731no—
1037C2×#106—731no—
1038C2×#106—731no—
1039C2×#106C2×D7311yescharacteristic
1040C2×#106C2×D7311yescharacteristic, complemented
1041#424—731no—
1042#417—731no—
1043#417—731no—
1044#417—731no—
1045#417—731no—
1046#416—731no—
1047#416—731no—
1048#408—731no—
1049#407—731no—
1050#405—731no—
1051C2×#41—21no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—731no—
1055C2×#41—1461no—
1056C2×#41—1461no—
1057C2×#41—1461no—
1058C23×C4—731no—
1059C23×C4—1461no—
1060C23×C4—1461no—
1061#135—1464no—
1062C2×Q16—731no—
1063C2×SD16—731no—
1064C2×SD16C22×D7311yescharacteristic
1065C2×D8—731no—
1066#131—1464no—
1067C2×M16—731no—
1068C2×M16—731no—
1069C2×M16—731no—
1070C2×M16—731no—
1071C22×C8—731no—
1072C22×C8—731no—
1073C22×C8—731no—
1074C22×C8—731no—
1075C22×C8—731no—
1076C22×C8—731no—
1077C22×C8—1464no—
1078C22×C8C22×D7311yescharacteristic
1079C22×C8C22×D7311yescharacteristic
1080C4⋊Q8—731no—
1081C4⋊Q8—731no—
1082C4⋊Q8—1461no—
1083C4⋊Q8—1461no—
1084C4⋊Q8C22×D7311yescharacteristic
1085C4⋊Q8C22×D7311yescharacteristic
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#125—21no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#123—21no—
1109#123—21no—
1110#123—731no—
1111#123—731no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#120—731no—
1177#120—731no—
1178#120—1461no—
1179#120—1461no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×D4—21no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—731no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—731no—
1234C2×C4⋊C4—731no—
1235C2×C4⋊C4—731no—
1236C2×C4⋊C4—731no—
1237C2×C4⋊C4—731no—
1238C2×C4⋊C4—731no—
1239C2×C4⋊C4—731no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—1461no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C4⋊C4—1461no—
1248C2×C4⋊C4—1461no—
1249C2×C4⋊C4C22×D7311yescharacteristic
1250C2×C4⋊C4C22×D7311yescharacteristic
1251C2×C4⋊C4C22×D7311yescharacteristic
1252C2×C4⋊C4C22×D7311yescharacteristic
1253#107—731no—
1254#107—731no—
1255#107—731no—
1256#107—731no—
1257#107—731no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#106—731no—
1264#106—731no—
1265#106—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106C22×D7311yescharacteristic
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283#106C22×D7311yescharacteristic
1284#106C22×D7311yescharacteristic
1285#106C22×D7311yescharacteristic
1286#106C22×D7311yescharacteristic
1287#106C22×D7311yescharacteristic
1288#106C22×D7311yescharacteristic
1289C4⋊C8—731no—
1290C4⋊C8—731no—
1291C4⋊C8—731no—
1292C4⋊C8C22×D7311yescharacteristic
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102C22×D7311yescharacteristic
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317C22⋊C8—731no—
1318C22⋊C8—731no—
1319C22⋊C8—731no—
1320C22⋊C8—731no—
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8C22×D7311yescharacteristic
1324C22⋊C8C22×D7311yescharacteristic
1325#97—731no—
1326#97—731no—
1327C4×C8—731no—
1328C4×C8C22×D7311yescharacteristic
1329C24—731no—
1330#41—82no—
1331#41—5842no—
1332#41—5842no—
1333#41—5842no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337#41—1462no—
1338#41—1462no—
1339#41—1462no—
1340C2×Q8—21no—
1341C2×Q8—21no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8C23×D7311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—731no—
1350C2×D4—731no—
1351C2×D4—731no—
1352C2×D4—731no—
1353C2×D4—731no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4D4×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—5842no—
1372C22×C4—5842no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1462no—
1392C22×C4—1462no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4C23×D7311yescharacteristic
1399C22×C4C23×D7311yescharacteristic
1400Q16—1462no—
1401SD16—22no—
1402SD16—1462no—
1403D8—1462no—
1404M16—1462no—
1405M16—1462no—
1406M16—1462no—
1407M16—1462no—
1408C2×C8—22no—
1409C2×C8—22no—
1410C2×C8—731no—
1411C2×C8—734no—
1412C2×C8—731no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—1462no—
1416C2×C8—1462no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8—1462no—
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C2×C8C23×D7311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4D4×D7311yescharacteristic
1476C4⋊C4C23×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4D4×D7311yescharacteristic
1517C22⋊C4D4×D7311yescharacteristic
1518C42—21no—
1519C42—731no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42C23×D7311yescharacteristic
1530C23—21no—
1531C23—731no—
1532C23—731no—
1533C23—731no—
1534C23—1462no—
1535C23—1462no—
1536C23—1461no—
1537C23—1462no—
1538C23C2×D4×D7311yescharacteristic
1539C23C2×D4×D7311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—81no—
1543Q8—81no—
1544Q8—5841no—
1545Q8—5841no—
1546Q8—1462no—
1547Q8—1461no—
1548Q8—1461no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—2922no—
1555D4—2922no—
1556D4—2922no—
1557D4—2922no—
1558D4—2922no—
1559D4—5841no—
1560D4—5841no—
1561D4—5841no—
1562D4—1462no—
1563D4—1462no—
1564D4—1462no—
1565D4—1462no—
1566D4—1462no—
1567D4—1462no—
1568D4—1461no—
1569D4—1461no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—2922no—
1587C2×C4—2922no—
1588C2×C4—2922no—
1589C2×C4—2922no—
1590C2×C4—2922no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—5841no—
1595C2×C4—5841no—
1596C2×C4—5841no—
1597C2×C4—5841no—
1598C2×C4—5841no—
1599C2×C4—5841no—
1600C2×C4—5841no—
1601C2×C4—5841no—
1602C2×C4—5841no—
1603C2×C4—731no—
1604C2×C4—732no—
1605C2×C4—732no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—1462no—
1611C2×C4—1462no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1462no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C24×D7311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—732no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8#41×D7312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—2921no—
1646C22—2921no—
1647C22—2921no—
1648C22—732no—
1649C22—732no—
1650C22—1468no—
1651C22—1461no—
1652C22—1461no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22—1461no—
1658C22#1798939312yes—
1659C22C22×D4×D7311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—2921no—
1676C4—2921no—
1677C4—2921no—
1678C4—732no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4—1461no—
1683C4C2×#41×D7311yescharacteristic
1684C42−1+4×D7311yescharacteristic
1685C2—22no—
1686C2—41no—
1687C2—81no—
1688C2—2921no—
1689C2—5841no—
1690C2—1462no—
1691C2—1462no—
1692C2#547×D7311yescharacteristic
1693C2#577×D7311yescharacteristic
1694C2C2×#1798939311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3335C2
socleC22×C73C23×D4
hypercenter#3335D73
hypocenterC73#61259
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3335

Complements

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

NH ≅ G/Ntype
1. #22623639C2semidirect
2. #22623633C2semidirect
3. #22622408C2semidirect
4. #22622401C2semidirect
5. #22622399C2semidirect
6. #22622394C2semidirect
7. #22622390C2semidirect
8. #22622389C2semidirect
9. #22622383C2semidirect
10. #22622380C2semidirect
11. #22622315C2semidirect
12. #22622312C2semidirect
13. #22622306C2semidirect
14. #22622305C2semidirect
15. #22622287C2semidirect
16. #22622284C2semidirect
17. #22622283C2semidirect
18. #22620456C2semidirect
19. #22619921C2semidirect
20. #22619915C2semidirect
21. #22619855C2semidirect
22. #22619853C2semidirect
23. #22619790C2semidirect
24. #22619788C2semidirect
25. #22619588C2semidirect
26. #22619507C2semidirect
27. #22618809C2semidirect
28. #22618620C2semidirect
29. #22618522C2semidirect
30. C2×#106×D73C2semidirect
31. C73×#3335C2semidirect
78. #17988994C22semidirect
79. #17988994C22semidirect
80. #17988993C22semidirect
81. #17988993C22semidirect
82. #17988989C22semidirect
83. #17988987C22semidirect
84. #17988984C22semidirect
85. #17988931C22semidirect
86. #17988929C22semidirect
87. #17988927C22semidirect
88. #17988925C22semidirect
95. #17988919C22semidirect
96. #17988917C22semidirect
97. #17988916C22semidirect
99. #17988913C22semidirect
100. #17988912C22semidirect
101. #17988909C22semidirect
102. #17988908C22semidirect
105. #17988907C22semidirect
106. #17988905C22semidirect
107. #17988904C22semidirect
113. #17988897C22semidirect
114. #17988896C22semidirect
115. #17988895C22semidirect
116. #17988894C22semidirect
117. #17988888C22semidirect
118. #17988887C22semidirect
119. #17988886C22semidirect
120. #17988885C22semidirect
121. #17988876C22semidirect
122. #17988875C22semidirect
123. #17988874C22semidirect
124. #17988871C22semidirect
125. #17988870C22semidirect
126. #17988869C22semidirect
127. #17988844C22semidirect
128. #17988843C22semidirect
129. #17988839C22semidirect
130. #17988838C22semidirect
136. #17988817C22semidirect
138. #17988816C22semidirect
140. #17988813C22semidirect
141. #17988697C22semidirect
142. #17988696C22semidirect
143. #17988692C22semidirect
144. #17988691C22semidirect
145. C4×#11924017C22semidirect
146. SD16×Dic73C22semidirect
147. #17988674C22semidirect
155. #17988627C22semidirect
156. #17988627C22semidirect
161. #17988626C22semidirect
162. #17988626C22semidirect
163. #17988625C22semidirect
165. #17988622C22semidirect
177. #106×D73C22semidirect
190. #498×C73C22semidirect
192. #483×C73C22semidirect
194. #481×C73C22semidirect
195. #476×C73C22semidirect
196. #475×C73C22semidirect
198. #465×C73C22semidirect
199. C4×SD16×C73C22semidirect
202. C2×#106×C73C22semidirect
553. C8×D73#41semidirect
865. #3335D73semidirect
879. C73#61259semidirect
935. #498C2×D73semidirect
951. #483C2×D73semidirect
963. #481C2×D73semidirect
979. #476C2×D73semidirect
983. #475C2×D73semidirect
999. #465C2×D73semidirect
1007. C4×SD16C2×D73semidirect
1040. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236392
#226236332
#226224082
#226224012
#226223992
#226223942
#226223902
#226223892
#226223832
#226223802
#226223152
#226223122
#226223062
#226223052
#226222872
#226222842
#226222832
#226204562
#226199212
#226199152
#226198552
#226198532
#226197902
#226197882
#226195882
#226195072
#226188092
#226186202
#226185222
C2×#106×D732
C73×#33352
#6125973