Finite Group Databasebeta

← #30573484

Subgroups — #30573484

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460413C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458898C211yesmaximal, characteristic, complemented
4#21458888C211yesmaximal, characteristic, complemented
5#21458632C211yesmaximal, characteristic, complemented
6#21458562C211yesmaximal, characteristic, complemented
7#21458011C211yesmaximal, characteristic, complemented
8#21457970C211yesmaximal, characteristic, complemented
9#21457882C211yesmaximal, characteristic, complemented
10#21457850C211yesmaximal, characteristic, complemented
11#21457755C211yesmaximal, characteristic, complemented
12#21457731C211yesmaximal, characteristic, complemented
13#21457555C211yesmaximal, characteristic, complemented
14#21457523C211yesmaximal, characteristic, complemented
15#21457410C211yesmaximal, characteristic, complemented
16#21457396C211yesmaximal, characteristic, complemented
17#21457381C211yesmaximal, characteristic, complemented
18#21457326C211yesmaximal, characteristic, complemented
19#21457234C211yesmaximal, characteristic, complemented
20#21457155C211yesmaximal, characteristic, complemented
21#21456927C211yesmaximal, characteristic, complemented
22#21456907C211yesmaximal, characteristic, complemented
23#21456829C211yesmaximal, characteristic, complemented
24#21456114C211yesmaximal, characteristic, complemented
25#21456112C211yesmaximal, characteristic, complemented
26#21455933C211yesmaximal, characteristic, complemented
27#21455344C211yesmaximal, characteristic, complemented
28#21455341C211yesmaximal, characteristic, complemented
29#21455275C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3258C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519798C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C22×#11758190C2211yescharacteristic
38#16840510—21no—
39#16840503—21no—
40#16840497C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840486C2211yescharacteristic, complemented
43#16840484C2211yescharacteristic
44#16840483C2211yescharacteristic
45#16840481—21no—
46#16840481C2211yescharacteristic, complemented
47#16840479—21no—
48#16840479—21no—
49#16840476C2211yescharacteristic
50#16840474—21no—
51#16840465—21no—
52#16840437—21no—
53#16840434C2211yescharacteristic
54#16840425C2211yescharacteristic
55#16840424C2211yescharacteristic
56#16840422C2211yescharacteristic
57#16840420C2211yescharacteristic, complemented
58#16840418C2211yescharacteristic
59#16840414C2211yescharacteristic
60#16840403C2211yescharacteristic
61#16840403C2211yescharacteristic
62#16840382—21no—
63#16840380—21no—
64#16840377C2211yescharacteristic, complemented
65#16840368—21no—
66#16840368C2211yescharacteristic
67#16840360—21no—
68#16840351—21no—
69#16840351—21no—
70#16840337C2211yescharacteristic
71#16840331C2211yescharacteristic
72#16840316C2211yescharacteristic, complemented
73#16840314—21no—
74#16840313C2211yescharacteristic
75#16840297C2211yescharacteristic
76#16840290C2211yescharacteristic
77#16840289—21no—
78#16840239C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic
82#16840155C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840152C2211yescharacteristic
85#16840144C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840123C2211yescharacteristic, complemented
91#16840111C2211yescharacteristic, complemented
92#16840110C2211yescharacteristic
93#16840105C2211yescharacteristic, complemented
94#16840100C2211yescharacteristic
95#16840100C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840088C2211yescharacteristic
98#16840088C2211yescharacteristic, complemented
99#16840066C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic
102#16840046C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic
104#16840041C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840009C2211yescharacteristic
107#16840004C2211yescharacteristic, complemented
108#16840002C2211yescharacteristic, complemented
109#16839997C2211yescharacteristic
110#16839994C2211yescharacteristic
111#16839992C2211yescharacteristic
112#16839992C2211yescharacteristic, complemented
113#16839987C2211yescharacteristic
114#16839987C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic
117#16839985C2211yescharacteristic
118#16839985C2211yescharacteristic
119#16839985C2211yescharacteristic
120#16839985C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839979C2211yescharacteristic
123#16839979C2211yescharacteristic, complemented
124#16839977C2211yescharacteristic
125#16839976C2211yescharacteristic
126#16839976C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839971C2211yescharacteristic, complemented
129#16839970C2211yescharacteristic, complemented
130#16839969C2211yescharacteristic, complemented
131#16839969C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic
133#16839963C2211yescharacteristic
134#16839963C2211yescharacteristic
135#16839963C2211yescharacteristic
136#16839963C2211yescharacteristic
137#16839962C2211yescharacteristic
138#16839957C2211yescharacteristic
139#16839927C2211yescharacteristic
140#16839927C2211yescharacteristic
141#16839927C2211yescharacteristic, complemented
142#16839925C2211yescharacteristic, complemented
143#16839923C2211yescharacteristic
144#16839923C2211yescharacteristic, complemented
145#16839922C2211yescharacteristic
146#16839919C2211yescharacteristic, complemented
147#16839917C2211yescharacteristic
148#16839917C2211yescharacteristic
149#16839912C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839902C2211yescharacteristic
154#16839902C2211yescharacteristic, complemented
155#16839899C2211yescharacteristic, complemented
156#16839895C2211yescharacteristic
157#16839891C2211yescharacteristic, complemented
158#16839889C2211yescharacteristic, complemented
159#16839871C2211yescharacteristic
160#16839868C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839867C2211yescharacteristic, complemented
163#16839865C2211yescharacteristic
164#16839861C2211yescharacteristic
165#16839861C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic
170#16839847C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic
172#16839832C2211yescharacteristic, complemented
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839827C2211yescharacteristic, complemented
176C8×C22⋊D61C2211yescharacteristic
177#16839823C2211yescharacteristic
178#16839822C2211yescharacteristic, complemented
179#16839818C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839768C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#541C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#478C2211yescharacteristic, complemented
192C61×#477C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#467C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#464C2211yescharacteristic, complemented
199C61×#464C2211yescharacteristic, complemented
200C61×#462C2211yescharacteristic, complemented
201C61×#461C2211yescharacteristic, complemented
202C61×#424C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C22×Dic122C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C22×D244C2311yescharacteristic
212#14519810—42no—
213#14519809—42no—
214#14519798—42no—
215#14519798—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223Q16×D61—42no—
224C2×#11758190—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×C8×D61C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519775—21no—
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519774—21no—
251#14519774C2311yescharacteristic
252#14519774C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772D411yescharacteristic
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770D411yescharacteristic
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519766—21no—
268#14519766C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519765—21no—
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762D411yescharacteristic
295#14519760—21no—
296#14519759—21no—
297#14519759D411yescharacteristic
298#14519757—21no—
299#14519757C2311yescharacteristic
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755D411yescharacteristic
310#14519754—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752—21no—
317#14519752—21no—
318#14519752—21no—
319#14519752—21no—
320#14519752—21no—
321#14519752—21no—
322#14519752—21no—
323#14519752—21no—
324#14519752—21no—
325#14519752—21no—
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519752C2311yescharacteristic
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750D411yescharacteristic
333#14519749—21no—
334#14519749—21no—
335#14519748C2311yescharacteristic
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340Q8×Dic61—21no—
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122—21no—
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349#14519742—21no—
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357C4×D244—21no—
358C4×D244—21no—
359C4×D244—21no—
360C4×D244C2311yescharacteristic
361D4×Dic61—21no—
362D4×Dic61C2311yescharacteristic
363#14519739—21no—
364#14519739—21no—
365#14519739—21no—
366#14519739—21no—
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369#14519739C2311yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61C2311yescharacteristic
372C4×C22⋊D61C2311yescharacteristic
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519736C2311yescharacteristic
377#14519735—21no—
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383#14519734—21no—
384#14519734C2311yescharacteristic
385#14519733—21no—
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390C4⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C2×C4×Dic61—21no—
394C42×D61C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#126×C61—21no—
452#125×C61—21no—
453#125×C61—21no—
454#125×C61C2311yescharacteristic
455#124×C61—21no—
456#124×C61C2311yescharacteristic
457#123×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501#11758226—41no—
502#11758226—41no—
503#11758226—41no—
504#11758226—41no—
505#11758226—41no—
506#11758226—41no—
507Q8×D61—22no—
508Q8×D61—41no—
509Q8×D61—41no—
510Q8×D61—41no—
511#11758224—22no—
512#11758224—41no—
513#11758222—41no—
514#11758222—41no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244C2×D411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×Dic122—22no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—41no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557Q16×C61—41no—
558SD16×C61—41no—
559SD16×C61—41no—
560M16×C61—41no—
561C2×C8×C61—41no—
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61C2×D411yescharacteristic
591C22⋊C4×C61C2×D411yescharacteristic
592C42×C61—21no—
593C42×C61—21no—
594C42×C61—21no—
595C42×C61C2411yescharacteristic
596C42×C61C2411yescharacteristic
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604#11758202—22no—
605#11758202—22no—
606#11758202—41no—
607#11758202—41no—
608#11758202—41no—
609#11758201—41no—
610#11758201—41no—
611#11758201—41no—
612#11758200—41no—
613#11758199—41no—
614#11758199—41no—
615#11758199—41no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61C2×D411yescharacteristic
649C4⋊Dic61C2×D411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—22no—
692Dic244—41no—
693#11758190—22no—
694#11758190—22no—
695#11758190—22no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—81no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—81no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—81no—
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—41no—
740C22⋊D61—41no—
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—42no—
750C2×Dic61—42no—
751C2×Dic61—42no—
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758D244—21no—
759D244—21no—
760D244—21no—
761D244—21no—
762D244—21no—
763D244—21no—
764D244—41no—
765D244—81no—
766D244—81no—
767D244—81no—
768D244—81no—
769D244—81no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244—81no—
775D244—81no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—41no—
781C4×D61—41no—
782C4×D61—42no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61C2×H(5,𝔽2)11yescharacteristic
848C4×C61#58511yescharacteristic
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—22no—
854Dic61—21no—
855Dic61—21no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258D6111yescharacteristic, complemented
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—1221no—
933#542—1221no—
934#542C2×D6111yescharacteristic
935#541C2×D6111yescharacteristic
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479C2×D6111yescharacteristic, complemented
973#478C2×D6111yescharacteristic, complemented
974#477C2×D6111yescharacteristic, complemented
975#476—611no—
976#475—611no—
977#475C2×D6111yescharacteristic, complemented
978#474—611no—
979#474—611no—
980#470C2×D6111yescharacteristic
981#469—611no—
982#468—611no—
983#468C2×D6111yescharacteristic
984#467—611no—
985#467—611no—
986#467C2×D6111yescharacteristic
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465C2×D6111yescharacteristic
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464C2×D6111yescharacteristic, complemented
1002#464C2×D6111yescharacteristic, complemented
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461C2×D6111yescharacteristic, complemented
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424C2×D6111yescharacteristic
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—611no—
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—2442no—
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—611no—
1135#126—611no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—21no—
1147#125—21no—
1148#125—611no—
1149#125—1221no—
1150#125C22×D6111yescharacteristic
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—611no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124—1221no—
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8C22×D6111yescharacteristic
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—1221no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121C22×D6111yescharacteristic
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107C22×D6111yescharacteristic
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8C22×D6111yescharacteristic
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1221no—
1376C2×Q8—1222no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4C23×D6111yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—1222no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4D4×D6111yescharacteristic
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—4881no—
1580C23—4881no—
1581C23—4881no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—81no—
1590Q8—612no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—81no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—81no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—2441no—
1662C2×C4—2441no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1221no—
1717C4—1221no—
1718C4—1222no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—1221no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059911yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—4881no—
1732C2—4881no—
1733C2—4881no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948311yescharacteristic
1737C2#2146059111yescharacteristic
1738C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3258C2
socleC22×C61C23×D4
hypercenter#3258D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3258

Complements

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

NH ≅ G/Ntype
1. #21460413C2semidirect
2. #21459832C2semidirect
3. #21458898C2semidirect
4. #21458888C2semidirect
5. #21458632C2semidirect
6. #21458562C2semidirect
7. #21458011C2semidirect
8. #21457970C2semidirect
9. #21457882C2semidirect
10. #21457850C2semidirect
11. #21457755C2semidirect
12. #21457731C2semidirect
13. #21457555C2semidirect
14. #21457523C2semidirect
15. #21457410C2semidirect
16. #21457396C2semidirect
17. #21457381C2semidirect
18. #21457326C2semidirect
19. #21457234C2semidirect
20. #21457155C2semidirect
21. #21456927C2semidirect
22. #21456907C2semidirect
23. #21456829C2semidirect
24. #21456114C2semidirect
25. #21456112C2semidirect
26. #21455933C2semidirect
27. #21455344C2semidirect
28. #21455341C2semidirect
29. #21455275C2semidirect
30. #21454956C2semidirect
31. C61×#3258C2semidirect
35. C2×#14519798C22semidirect
36. C2×Q16×D61C22semidirect
41. #16840492C22semidirect
42. #16840486C22semidirect
46. #16840481C22semidirect
57. #16840420C22semidirect
64. #16840377C22semidirect
72. #16840316C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
82. #16840155C22semidirect
83. #16840153C22semidirect
90. #16840123C22semidirect
91. #16840111C22semidirect
93. #16840105C22semidirect
98. #16840088C22semidirect
99. #16840066C22semidirect
100. #16840066C22semidirect
102. #16840046C22semidirect
104. #16840041C22semidirect
105. #16840014C22semidirect
107. #16840004C22semidirect
108. #16840002C22semidirect
112. #16839992C22semidirect
115. #16839987C22semidirect
123. #16839979C22semidirect
126. #16839976C22semidirect
127. #16839971C22semidirect
128. #16839971C22semidirect
129. #16839970C22semidirect
130. #16839969C22semidirect
131. #16839969C22semidirect
141. #16839927C22semidirect
142. #16839925C22semidirect
144. #16839923C22semidirect
146. #16839919C22semidirect
154. #16839902C22semidirect
155. #16839899C22semidirect
157. #16839891C22semidirect
158. #16839889C22semidirect
160. #16839868C22semidirect
161. #16839867C22semidirect
162. #16839867C22semidirect
165. #16839861C22semidirect
166. #16839859C22semidirect
167. C4×#11758202C22semidirect
168. C4×#11758202C22semidirect
170. #16839847C22semidirect
172. #16839832C22semidirect
175. #16839827C22semidirect
178. #16839822C22semidirect
179. #16839818C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
187. #16839757C22semidirect
190. C61×#479C22semidirect
191. C61×#478C22semidirect
192. C61×#477C22semidirect
193. C61×#475C22semidirect
198. C61×#464C22semidirect
199. C61×#464C22semidirect
200. C61×#462C22semidirect
201. C61×#461C22semidirect
878. #3258D61semidirect
972. #479C2×D61semidirect
973. #478C2×D61semidirect
974. #477C2×D61semidirect
977. #475C2×D61semidirect
1001. #464C2×D61semidirect
1002. #464C2×D61semidirect
1013. #462C2×D61semidirect
1015. #461C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604132
#214598322
#214588982
#214588882
#214586322
#214585622
#214580112
#214579702
#214578822
#214578502
#214577552
#214577312
#214575552
#214575232
#214574102
#214573962
#214573812
#214573262
#214572342
#214571552
#214569272
#214569072
#214568292
#214561142
#214561122
#214559332
#214553442
#214553412
#214552752
#214549562
C61×#32582
#6201361