Finite Group Databasebeta

← #30575966

Subgroups — #30575966

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459785C211yesmaximal, characteristic, complemented
2#21459429C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458769C211yesmaximal, characteristic, complemented
5#21458588C211yesmaximal, characteristic, complemented
6#21458573C211yesmaximal, characteristic, complemented
7#21458418C211yesmaximal, characteristic, complemented
8#21458377C211yesmaximal, characteristic, complemented
9#21458309C211yesmaximal, characteristic, complemented
10#21458297C211yesmaximal, characteristic, complemented
11#21458292C211yesmaximal, characteristic, complemented
12#21458279C211yesmaximal, characteristic, complemented
13#21458028C211yesmaximal, characteristic, complemented
14#21458013C211yesmaximal, characteristic, complemented
15#21457965C211yesmaximal, characteristic, complemented
16#21457893C211yesmaximal, characteristic, complemented
17#21457845C211yesmaximal, characteristic, complemented
18#21457773C211yesmaximal, characteristic, complemented
19#21457218C211yesmaximal, characteristic, complemented
20#21457181C211yesmaximal, characteristic, complemented
21#21457169C211yesmaximal, characteristic, complemented
22#21457064C211yesmaximal, characteristic, complemented
23#21457011C211yesmaximal, characteristic, complemented
24#21456991C211yesmaximal, characteristic, complemented
25#21455956C211yesmaximal, characteristic, complemented
26#21455865C211yesmaximal, characteristic, complemented
27#21455641C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3111C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840472C2211yescharacteristic
35#16840471C2211yescharacteristic, complemented
36#16840470C2211yescharacteristic, complemented
37#16840469C2211yescharacteristic
38#16840464C2211yescharacteristic, complemented
39#16840462C2211yescharacteristic
40#16840458—21no—
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic
43#16840454C2211yescharacteristic, complemented
44#16840453C2211yescharacteristic
45#16840451—21no—
46#16840449—21no—
47#16840445—21no—
48#16840436—21no—
49#16840436—21no—
50#16840412C2211yescharacteristic, complemented
51#16840410—21no—
52#16840408—21no—
53#16840400C2211yescharacteristic
54#16840400C2211yescharacteristic
55D4×D244C2211yescharacteristic
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic, complemented
60#16840312C2211yescharacteristic
61#16840299C2211yescharacteristic
62#16840299C2211yescharacteristic
63#16840296—21no—
64#16840291C2211yescharacteristic, complemented
65#16840291C2211yescharacteristic, complemented
66C2×#14519769C2211yescharacteristic, complemented
67#125×D61C2211yescharacteristic, complemented
68#16840271—21no—
69#16840271—21no—
70#16840241—21no—
71C4×#11758222C2211yescharacteristic
72C2×C4×D244—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic
82#16840127C2211yescharacteristic
83#16840123C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840118C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840096C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic
94#16840088C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840081C2211yescharacteristic, complemented
97#16840081C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic
100#16840076C2211yescharacteristic, complemented
101#16840076C2211yescharacteristic, complemented
102#16840074C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840069C2211yescharacteristic, complemented
105#16840069C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840069C2211yescharacteristic, complemented
108#16840067C2211yescharacteristic, complemented
109#16840065C2211yescharacteristic, complemented
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic, complemented
113#16840063C2211yescharacteristic, complemented
114#16840063C2211yescharacteristic, complemented
115#16840063C2211yescharacteristic, complemented
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840061C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic
122#16840060C2211yescharacteristic, complemented
123#16840059C2211yescharacteristic, complemented
124#16840059C2211yescharacteristic, complemented
125#16840051C2211yescharacteristic, complemented
126#16840050C2211yescharacteristic
127#16840047C2211yescharacteristic, complemented
128#16840042C2211yescharacteristic, complemented
129#16840041C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic
131#16840017C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic
133#16840013C2211yescharacteristic, complemented
134#16840013C2211yescharacteristic, complemented
135#16840011C2211yescharacteristic
136#16840010C2211yescharacteristic, complemented
137#16840010C2211yescharacteristic, complemented
138#16840005C2211yescharacteristic, complemented
139#16840000C2211yescharacteristic, complemented
140#16839997C2211yescharacteristic
141#16839994C2211yescharacteristic
142#16839988C2211yescharacteristic, complemented
143#16839986C2211yescharacteristic, complemented
144#16839986C2211yescharacteristic, complemented
145#16839979C2211yescharacteristic, complemented
146#16839979C2211yescharacteristic, complemented
147#16839974C2211yescharacteristic, complemented
148#16839974C2211yescharacteristic, complemented
149#16839962C2211yescharacteristic
150#16839957C2211yescharacteristic
151#16839911C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839894C2211yescharacteristic
155#16839890C2211yescharacteristic, complemented
156#16839890C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839871C2211yescharacteristic, complemented
159#16839865C2211yescharacteristic, complemented
160#16839863C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic
162#16839847C2211yescharacteristic, complemented
163D8×Dic61C2211yescharacteristic
164#16839842C2211yescharacteristic, complemented
165#16839837C2211yescharacteristic, complemented
166#16839837C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839836C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839818C2211yescharacteristic, complemented
172#16839814C2211yescharacteristic, complemented
173#16839805C2211yescharacteristic, complemented
174#16839805C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839786C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839763C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#529C2211yescharacteristic, complemented
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#441C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C61×#432C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758224—21no—
206C22×D244—21no—
207C2×D4×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×#11758201C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519774C2311yescharacteristic
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519771—21no—
230#14519771—21no—
231#14519771—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519769—21no—
237#14519769—21no—
238#14519769—21no—
239#14519769—21no—
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519768—21no—
245#14519768—21no—
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766C2311yescharacteristic
255#14519766C2311yescharacteristic
256#14519765—21no—
257#14519765—21no—
258#14519762—21no—
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519761—21no—
265#14519760—21no—
266#14519760—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519758—21no—
274#14519757—21no—
275#14519756—21no—
276#14519756—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519753C2311yescharacteristic
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519752C2311yescharacteristic
293#14519751—21no—
294#14519751—21no—
295#14519751C2311yescharacteristic
296#14519751C2311yescharacteristic
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519748C2311yescharacteristic
304#14519748C2311yescharacteristic
305#14519747—21no—
306#14519747—21no—
307#14519745—21no—
308#14519745—21no—
309Q8×Dic61C2311yescharacteristic
310Q8×Dic61C2311yescharacteristic
311C4×Dic122—21no—
312C4×Dic122D411yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316C4×D244—21no—
317C4×D244—21no—
318C4×D244—21no—
319C4×D244—21no—
320C4×D244—21no—
321C4×D244—21no—
322C4×D244—21no—
323C4×D244D411yescharacteristic
324C4×D244C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327D4×Dic61—21no—
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61D411yescharacteristic
338C4×C22⋊D61D411yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519736D411yescharacteristic
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519734—21no—
350#14519734—21no—
351#14519734—21no—
352#14519734D411yescharacteristic
353#14519734D411yescharacteristic
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357C2×C4⋊Dic61—21no—
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C2×#11758198—21no—
370C2×#11758198—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61C2311yescharacteristic
445#121×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61—21no—
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C42×C61—21no—
459C2×C42×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2×D411yescharacteristic
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61C2×D411yescharacteristic
502C2×C22⋊D61C2×D411yescharacteristic
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509#11758224—44no—
510D4×D61—22no—
511D4×D61—22no—
512D4×D61—41no—
513D4×D61—41no—
514#11758222—42no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—44no—
521C2×D244C2×D411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61—82no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2×D411yescharacteristic
544Q16×C61—41no—
545SD16×C61—22no—
546SD16×C61—41no—
547D8×C61—22no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586#11758201—41no—
587#11758201—41no—
588#11758199—41no—
589#11758199—41no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665#11758194—41no—
666#11758194—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—42no—
696D4×C61—42no—
697D4×C612−1+412yes—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—41no—
707C2×C4×C61—41no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—22no—
719C22⋊D61—41no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—42no—
733C2×Dic61—42no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61—81no—
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—22no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—21no—
749D244—42no—
750D244—42no—
751D244—42no—
752D244—81no—
753C4×D61—22no—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—41no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—41no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—22no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111D6111yescharacteristic, complemented
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61—41no—
864C2×C61—81no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—22no—
869D61—41no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—1221no—
906#529C2×D6111yescharacteristic, complemented
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41C2×D6111yescharacteristic
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485C2×D6111yescharacteristic, complemented
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482C2×D6111yescharacteristic, complemented
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479C2×D6111yescharacteristic, complemented
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464C2×D6111yescharacteristic, complemented
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463C2×D6111yescharacteristic
997#460—611no—
998#459—611no—
999#452C2×D6111yescharacteristic
1000#450—611no—
1001#450—611no—
1002#449C2×D6111yescharacteristic
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#441C2×D6111yescharacteristic, complemented
1011#440—611no—
1012#440—611no—
1013#440C2×D6111yescharacteristic
1014#440C2×D6111yescharacteristic, complemented
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432C2×D6111yescharacteristic, complemented
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41C22×D6111yescharacteristic
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16C22×D6111yescharacteristic
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—21no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—22no—
1322#41—41no—
1323#41—4882no—
1324#41—2442no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8C23×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—2444no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—41no—
1386SD16—22no—
1387SD16—41no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—42no—
1541D4—42no—
1542D4—1222no—
1543D4—1222no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—81no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—4881no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2441no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—22no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—612no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—4884no—
1638C22—4884no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—41no—
1672C2—42no—
1673C2—81no—
1674C2—1222no—
1675C2—4881no—
1676C2—4881no—
1677C2—2441no—
1678C2#2145949111yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3111C2
socleC22×C61C23×D4
hypercenter#3111D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459429C2semidirect
3. #21458778C2semidirect
4. #21458769C2semidirect
5. #21458588C2semidirect
6. #21458573C2semidirect
7. #21458418C2semidirect
8. #21458377C2semidirect
9. #21458309C2semidirect
10. #21458297C2semidirect
11. #21458292C2semidirect
12. #21458279C2semidirect
13. #21458028C2semidirect
14. #21458013C2semidirect
15. #21457965C2semidirect
16. #21457893C2semidirect
17. #21457845C2semidirect
18. #21457773C2semidirect
19. #21457218C2semidirect
20. #21457181C2semidirect
21. #21457169C2semidirect
22. #21457064C2semidirect
23. #21457011C2semidirect
24. #21456991C2semidirect
25. #21455956C2semidirect
26. #21455865C2semidirect
27. #21455641C2semidirect
28. #21455614C2semidirect
29. #478×D61C2semidirect
30. #21454938C2semidirect
31. C61×#3111C2semidirect
33. #16840488C22semidirect
35. #16840471C22semidirect
36. #16840470C22semidirect
38. #16840464C22semidirect
43. #16840454C22semidirect
50. #16840412C22semidirect
59. #16840318C22semidirect
64. #16840291C22semidirect
65. #16840291C22semidirect
66. C2×#14519769C22semidirect
67. #125×D61C22semidirect
75. #16840171C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840123C22semidirect
84. #16840123C22semidirect
85. #16840118C22semidirect
86. #16840118C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
89. #16840096C22semidirect
90. #16840096C22semidirect
91. #16840091C22semidirect
92. #16840091C22semidirect
96. #16840081C22semidirect
97. #16840081C22semidirect
98. #16840079C22semidirect
100. #16840076C22semidirect
101. #16840076C22semidirect
102. #16840074C22semidirect
103. #16840071C22semidirect
104. #16840069C22semidirect
105. #16840069C22semidirect
106. #16840069C22semidirect
107. #16840069C22semidirect
108. #16840067C22semidirect
109. #16840065C22semidirect
111. #16840064C22semidirect
112. #16840063C22semidirect
113. #16840063C22semidirect
114. #16840063C22semidirect
115. #16840063C22semidirect
120. #16840061C22semidirect
122. #16840060C22semidirect
123. #16840059C22semidirect
124. #16840059C22semidirect
125. #16840051C22semidirect
127. #16840047C22semidirect
128. #16840042C22semidirect
129. #16840041C22semidirect
131. #16840017C22semidirect
133. #16840013C22semidirect
134. #16840013C22semidirect
136. #16840010C22semidirect
137. #16840010C22semidirect
138. #16840005C22semidirect
139. #16840000C22semidirect
142. #16839988C22semidirect
143. #16839986C22semidirect
144. #16839986C22semidirect
145. #16839979C22semidirect
146. #16839979C22semidirect
147. #16839974C22semidirect
148. #16839974C22semidirect
155. #16839890C22semidirect
156. #16839890C22semidirect
158. #16839871C22semidirect
159. #16839865C22semidirect
162. #16839847C22semidirect
164. #16839842C22semidirect
165. #16839837C22semidirect
166. #16839837C22semidirect
167. #16839836C22semidirect
168. #16839836C22semidirect
171. #16839818C22semidirect
172. #16839814C22semidirect
173. #16839805C22semidirect
174. #16839805C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #107×D61C22semidirect
178. #106×D61C22semidirect
179. #16839786C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#529C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#479C22semidirect
194. C61×#464C22semidirect
199. C61×#441C22semidirect
201. C61×#440C22semidirect
202. C61×#432C22semidirect
856. #3111D61semidirect
906. #529C2×D61semidirect
931. #485C2×D61semidirect
938. #482C2×D61semidirect
953. #479C2×D61semidirect
991. #464C2×D61semidirect
1010. #441C2×D61semidirect
1014. #440C2×D61semidirect
1026. #432C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597852
#214594292
#214587782
#214587692
#214585882
#214585732
#214584182
#214583772
#214583092
#214582972
#214582922
#214582792
#214580282
#214580132
#214579652
#214578932
#214578452
#214577732
#214572182
#214571812
#214571692
#214570642
#214570112
#214569912
#214559562
#214558652
#214556412
#214556142
#478×D612
#214549382
C61×#31112
#6211961