Finite Group Databasebeta

← #30550456

Subgroups — #30550456

Order 15616.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459724C211yesmaximal, characteristic
2#21459701C211yesmaximal, characteristic, complemented
3#21456561C211yesmaximal, characteristic, complemented
4#21456559C211yesmaximal, characteristic, complemented
5#21456534C211yesmaximal, characteristic, complemented
6#21456532C211yesmaximal, characteristic, complemented
7#21456494C211yesmaximal, characteristic, complemented
8#21456492C211yesmaximal, characteristic, complemented
9#21456489C211yesmaximal, characteristic, complemented
10#21456487C211yesmaximal, characteristic, complemented
11#21456486C211yesmaximal, characteristic, complemented
12#21456484C211yesmaximal, characteristic, complemented
13#21456481C211yesmaximal, characteristic, complemented
14#21456402C211yesmaximal, characteristic, complemented
15#21456400C211yesmaximal, characteristic, complemented
16#21456375C211yesmaximal, characteristic, complemented
17#21456373C211yesmaximal, characteristic, complemented
18#21456364C211yesmaximal, characteristic, complemented
19#21456275C211yesmaximal, characteristic, complemented
20#21456140C211yesmaximal, characteristic, complemented
21#487×D61C211yesmaximal, characteristic, complemented
22#21455509C211yesmaximal, characteristic, complemented
23#21455507C211yesmaximal, characteristic, complemented
24#21455505C211yesmaximal, characteristic, complemented
25#21455503C211yesmaximal, characteristic, complemented
26#21454661C211yesmaximal, characteristic, complemented
27#21454659C211yesmaximal, characteristic, complemented
28#21454657C211yesmaximal, characteristic, complemented
29#21454655C211yesmaximal, characteristic, complemented
30#21454241C211yesmaximal, characteristic, complemented
31C61×#3178C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519785C2211yescharacteristic
37C2×#14519783C2211yescharacteristic
38#16840489—21no—
39#16840489—21no—
40#16840479—21no—
41#16840479—21no—
42#16840479—21no—
43#16840474—21no—
44#16840466—21no—
45#16840463—21no—
46#16840457—21no—
47#16840448—21no—
48#16840448—21no—
49#16840444—21no—
50#16840444—21no—
51#16840422—21no—
52#16840420—21no—
53#16840410—21no—
54#16840386C2211yescharacteristic
55#16840383C2211yescharacteristic
56#16840381C2211yescharacteristic
57#16840375C2211yescharacteristic
58#16840374C2211yescharacteristic
59#16840373C2211yescharacteristic
60#16840342C2211yescharacteristic
61#16840341C2211yescharacteristic
62#16840335C2211yescharacteristic
63#16840335C2211yescharacteristic
64#16840318C2211yescharacteristic
65#16840316C2211yescharacteristic
66#16840316C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840314C2211yescharacteristic
69#16840314C2211yescharacteristic
70#16840314C2211yescharacteristic
71#16840311C2211yescharacteristic
72#16840309C2211yescharacteristic
73#16840307C2211yescharacteristic
74C4⋊Q8×D61C2211yescharacteristic
75C4⋊Q8×D61C2211yescharacteristic
76#16840244C2211yescharacteristic
77#16840241C2211yescharacteristic
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic
80#16840230C2211yescharacteristic
81#16840172C2211yescharacteristic
82#16840171C2211yescharacteristic
83#16840168C2211yescharacteristic
84#16840166C2211yescharacteristic
85#16840166C2211yescharacteristic
86#16840159C2211yescharacteristic
87#16840159C2211yescharacteristic
88#16840157C2211yescharacteristic
89#16840156C2211yescharacteristic
90#16840154C2211yescharacteristic
91#16840140C2211yescharacteristic
92#16840140C2211yescharacteristic
93#16840133C2211yescharacteristic
94#16840133C2211yescharacteristic
95#16840119C2211yescharacteristic
96#16840117C2211yescharacteristic
97#16840116C2211yescharacteristic
98#16840114C2211yescharacteristic
99#16840113C2211yescharacteristic
100#16840112C2211yescharacteristic
101#16840111C2211yescharacteristic
102#16840111C2211yescharacteristic
103#16840111C2211yescharacteristic
104#16840111C2211yescharacteristic
105#16840111C2211yescharacteristic
106#16840111C2211yescharacteristic
107#16840107C2211yescharacteristic
108#16840107C2211yescharacteristic
109#16840021C2211yescharacteristic
110#16840020C2211yescharacteristic
111#16840019C2211yescharacteristic
112#16840019C2211yescharacteristic
113#16840018C2211yescharacteristic
114#16840018C2211yescharacteristic
115#16840017C2211yescharacteristic
116#16840011C2211yescharacteristic
117#16840010C2211yescharacteristic
118#16840009C2211yescharacteristic
119#16840008C2211yescharacteristic
120#16840007C2211yescharacteristic
121#16840006C2211yescharacteristic
122#16840005C2211yescharacteristic
123#16840004C2211yescharacteristic
124#16840003C2211yescharacteristic
125#16840002C2211yescharacteristic
126#16840002C2211yescharacteristic
127#16840001C2211yescharacteristic
128#16840001C2211yescharacteristic
129#16840000C2211yescharacteristic
130#16839994C2211yescharacteristic
131#16839993C2211yescharacteristic
132#16839992C2211yescharacteristic
133#16839991C2211yescharacteristic
134#16839990C2211yescharacteristic
135#16839989C2211yescharacteristic
136#16839988C2211yescharacteristic
137#16839870C2211yescharacteristic
138#16839869C2211yescharacteristic
139#16839868C2211yescharacteristic
140#16839867C2211yescharacteristic
141#16839867C2211yescharacteristic
142#16839866C2211yescharacteristic
143#16839866C2211yescharacteristic
144#16839865C2211yescharacteristic
145#16839864C2211yescharacteristic
146#16839863C2211yescharacteristic
147#16839862C2211yescharacteristic
148#16839861C2211yescharacteristic
149#16839860C2211yescharacteristic
150#16839859C2211yescharacteristic
151C4×Dic244C2211yescharacteristic
152Q16×Dic61C2211yescharacteristic
153#16839856C2211yescharacteristic
154C4×#11758202C2211yescharacteristic
155C4×#11758202C2211yescharacteristic
156#16839854C2211yescharacteristic
157#16839854C2211yescharacteristic
158#16839853C2211yescharacteristic
159C4×#11758190C2211yescharacteristic
160SD16×Dic61C2211yescharacteristic
161C4×#11758201C2211yescharacteristic
162#16839849C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839803C2211yescharacteristic
166#16839803C2211yescharacteristic
167#16839801C2211yescharacteristic
168#16839801C2211yescharacteristic
169#16839757C2211yescharacteristic
170#16839757C2211yescharacteristic
171#16839755C2211yescharacteristic
172#16839755C2211yescharacteristic
173#103×D61C2211yescharacteristic
174#103×D61C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#16839719C2211yescharacteristic
178#16839719C2211yescharacteristic
179#16839718C2211yescharacteristic
180#16839716C2211yescharacteristic
181#16839716C2211yescharacteristic
182#16839714C2211yescharacteristic
183#16839714C2211yescharacteristic
184M16×Dic61C2211yescharacteristic
185C2×C8×Dic61C2211yescharacteristic
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#541C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#497C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#487C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#467C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#441C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#405C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61—21no—
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211#14519809—24no—
212#14519809—24no—
213#14519806—24no—
214#14519806—24no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227#14519785—24no—
228#14519783—24no—
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519776—21no—
242#14519776—21no—
243#14519776—21no—
244#14519776—21no—
245#14519776—21no—
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519775—21no—
251#14519775C2311yescharacteristic
252#14519775C2311yescharacteristic
253#14519775C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519769C2311yescharacteristic
265#14519768—21no—
266#14519768—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519766—21no—
278#14519765C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519757C2311yescharacteristic
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519753C2311yescharacteristic
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519751C2311yescharacteristic
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519749—21no—
324#14519749—21no—
325#14519748—21no—
326#14519748C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328Q8×Dic61C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122—21no—
333C4×Dic122—21no—
334C4×Dic122—21no—
335C4×Dic122C2311yescharacteristic
336C4×Dic122C2311yescharacteristic
337C4×Dic122C2311yescharacteristic
338#14519742—21no—
339#14519742—21no—
340#14519742—21no—
341#14519742—21no—
342#14519742—21no—
343#14519742—21no—
344#14519742—21no—
345#14519742D411yescharacteristic
346#14519742D411yescharacteristic
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350C4×D244—21no—
351C4×D244C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353#14519739—21no—
354#14519739D411yescharacteristic
355#14519739D411yescharacteristic
356#14519739C2311yescharacteristic
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737D411yescharacteristic
364#14519737D411yescharacteristic
365#14519737D411yescharacteristic
366#14519737D411yescharacteristic
367#14519735—21no—
368#14519735—21no—
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734—21no—
375#14519734—21no—
376#14519734—21no—
377#14519734C2311yescharacteristic
378#14519734C2311yescharacteristic
379#14519733—21no—
380#14519733—21no—
381#14519733—21no—
382#14519733—21no—
383C2×#11758196—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61—21no—
387C4⋊C4×D61—21no—
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C2×C4×Dic61C2311yescharacteristic
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
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
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C2×Q8×C61—21no—
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503#11758226—22no—
504#11758226—22no—
505Q8×D61—22no—
506Q8×D61—22no—
507Q8×D61—22no—
508Q8×D61—22no—
509Q8×D61—82no—
510#11758224—22no—
511#11758224—22no—
512#11758224—82no—
513#11758222—22no—
514#11758222—22no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2×D411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545Q16×C61—22no—
546SD16×C61—22no—
547SD16×C61—22no—
548M16×C61—22no—
549C2×C8×C61—22no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2×D411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61C2×D411yescharacteristic
579C22⋊C4×C61C2×D411yescharacteristic
580C42×C61—21no—
581C42×C61—21no—
582C42×C61—21no—
583C42×C61C2411yescharacteristic
584C42×C61C2411yescharacteristic
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590#11758202—22no—
591#11758202—22no—
592#11758202—22no—
593#11758202—22no—
594#11758201—22no—
595#11758201—22no—
596#11758200—22no—
597#11758200—22no—
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#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
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#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—22no—
679C2×#92418—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—22no—
685Dic244—22no—
686#11758190—22no—
687#11758190—22no—
688#11758189—22no—
689#11758189—22no—
690#11758189#4114yescomplemented
691#11758189#4114yescomplemented
692C8×D61—22no—
693C8×D61—22no—
694C8×D61—22no—
695C8×D61—22no—
696C23×C61—21no—
697C23×C61C22×D411yescharacteristic
698C22×D61—21no—
699C22×D61C22×D411yescharacteristic
700C22×D61C22×D411yescharacteristic
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—21no—
706Q8×C61—21no—
707Q8×C61—81no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—81no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—81no—
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C2511yescharacteristic
727C22⋊D61—22no—
728C22⋊D61—22no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C2×Dic61—22no—
735C2×Dic61—22no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—42no—
744C2×Dic61—81no—
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751D244—22no—
752D244—21no—
753D244—21no—
754D244—42no—
755D244—81no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—22no—
759C4×D61—22no—
760C4×D61—22no—
761C4×D61—22no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61C2×#4112yes—
770C4×D61C2×#4112yes—
771Dic122—22no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—21no—
778Dic122—42no—
779Dic122—42no—
780Dic122—42no—
781Dic122—42no—
782Dic122—42no—
783Dic122—42no—
784Dic122—81no—
785C8×C61—21no—
786C8×C61—21no—
787C8×C61C2×#4112yes—
788C8×C61C2×#4112yes—
789#92418—21no—
790#92418—21no—
791#92418C2×#4112yes—
792#92418C2×#4112yes—
793#60723—611nomaximal, Sylow
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61C23×D411yescharacteristic
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61#53212yes—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61C22×#4111yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61#53212yes—
835Dic61#57712yes—
836Dic61#57812yes—
837#3511—611no—
838#3509—611no—
839#3185—611no—
840#3185—611no—
841#3182—611no—
842#3182—611no—
843#3178—611no—
844#3178—611no—
845#3178—611no—
846#3178—611no—
847#3178—611no—
848#3178—611no—
849#3178—611no—
850#3178D6111yescharacteristic, complemented
851#3170—611no—
852#3170—611no—
853#3167—611no—
854#3167—611no—
855#3165—611no—
856#3152—611no—
857#3131—611no—
858C2×#487—611no—
859#3063—611no—
860#3063—611no—
861#3063—611no—
862#3063—611no—
863#2947—611no—
864#2947—611no—
865#2947—611no—
866#2947—611no—
867C4×#131—611no—
868C2×C61—41no—
869C2×C61—81no—
870C2×C61C2×#53211yescharacteristic
871C2×C61C2×#57711yescharacteristic
872C2×C61C2×#57811yescharacteristic
873D61—22no—
874D61—41no—
875D61—81no—
876C2×#137—611no—
877C2×#137—611no—
878C2×#137—611no—
879C2×#137—611no—
880C2×#131—611no—
881C2×#131—611no—
882#557—1221no—
883#557—1221no—
884#556—1221no—
885#556—1221no—
886#556—1221no—
887#555—1221no—
888#554—1221no—
889#553—1221no—
890#553—1221no—
891#552—1221no—
892#552—1221no—
893#552—1221no—
894#552—1221no—
895#548—1221no—
896#548—1221no—
897#547—1221no—
898#542—611no—
899#542—611no—
900#542—611no—
901#542C2×D6111yescharacteristic
902#541—611no—
903#541—611no—
904#541—611no—
905#541C2×D6111yescharacteristic
906#537—611no—
907#537—611no—
908#536—611no—
909#536—611no—
910#533—611no—
911#533—611no—
912#533—611no—
913#533—611no—
914#533—611no—
915#533—611no—
916#533—611no—
917#532—611no—
918#532—611no—
919#532—611no—
920C2×C4⋊Q8—611no—
921C2×C4⋊Q8—611no—
922#520—611no—
923#520—611no—
924#519—611no—
925#519—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#501—611no—
930#501C2×D6111yescharacteristic
931#500—611no—
932#500—611no—
933#498—611no—
934#498—611no—
935#497—611no—
936#497—611no—
937#497—611no—
938#497C2×D6111yescharacteristic
939#494—611no—
940#494—611no—
941#492—611no—
942#492—611no—
943#488—611no—
944#488—611no—
945#488—611no—
946#488C2×D6111yescharacteristic
947#487—611no—
948#487—611no—
949#487—611no—
950#487—611no—
951#487—611no—
952#487—611no—
953#487—611no—
954#487—611no—
955#487—611no—
956#487C2×D6111yescharacteristic
957#486—611no—
958#486—611no—
959#470—611no—
960#470—611no—
961#470—611no—
962#470—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#470C2×D6111yescharacteristic
967#468—611no—
968#468—611no—
969#468—611no—
970#468—611no—
971#468—611no—
972#468—611no—
973#468—611no—
974#468C2×D6111yescharacteristic
975#467—611no—
976#467—611no—
977#467—611no—
978#467—611no—
979#467—611no—
980#467—611no—
981#467—611no—
982#467C2×D6111yescharacteristic
983#465—611no—
984#465—611no—
985#465—611no—
986#465—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#441—611no—
992#441—611no—
993#441—611no—
994#441—611no—
995#441—611no—
996#441—611no—
997#441—611no—
998#441C2×D6111yescharacteristic
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440C2×D6111yescharacteristic
1007C4×Q16—611no—
1008C4×Q16—611no—
1009C4×Q16—611no—
1010C4×Q16—611no—
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16C2×D6111yescharacteristic
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16C2×D6111yescharacteristic
1023#428—611no—
1024#428—611no—
1025#428—611no—
1026#428—611no—
1027#416—611no—
1028#416—611no—
1029#416—611no—
1030#416—611no—
1031C2×#103—611no—
1032C2×#103—611no—
1033C2×#103—611no—
1034C2×#103—611no—
1035#405—611no—
1036#405—611no—
1037#405—611no—
1038#405—611no—
1039#405—611no—
1040#405C2×D6111yescharacteristic
1041C4×M16—611no—
1042C4×M16—611no—
1043C4×M16—611no—
1044C2×C4×C8—611no—
1045C2×C4×C8—611no—
1046C2×C4×C8—611no—
1047C61#6072311yescharacteristic, complemented, Sylow
1048C2×#41—611no—
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—1221no—
1052C2×#41—1221no—
1053C22×Q8—611no—
1054C22×Q8—611no—
1055C22×Q8—1221no—
1056#137—1224no—
1057#137—1224no—
1058#137—1224no—
1059#137—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×Q16—611no—
1066C2×Q16C22×D6111yescharacteristic
1067C2×Q16C22×D6111yescharacteristic
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076#131—1224no—
1077#131—1224no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16—611no—
1081C2×M16—611no—
1082C2×M16—611no—
1083C2×M16C22×D6111yescharacteristic
1084C22×C8—611no—
1085C22×C8—611no—
1086C22×C8—611no—
1087C22×C8—611no—
1088C22×C8—611no—
1089C22×C8C22×D6111yescharacteristic
1090C4⋊Q8—611no—
1091C4⋊Q8—611no—
1092C4⋊Q8—611no—
1093C4⋊Q8—611no—
1094C4⋊Q8—611no—
1095C4⋊Q8—611no—
1096C4⋊Q8—611no—
1097C4⋊Q8—611no—
1098C4⋊Q8—611no—
1099C4⋊Q8—1221no—
1100C4⋊Q8—1221no—
1101C4⋊Q8—1221no—
1102C4⋊Q8—1221no—
1103C4⋊Q8—1221no—
1104C4⋊Q8—1221no—
1105C4⋊Q8C22×D6111yescharacteristic
1106C4⋊Q8C22×D6111yescharacteristic
1107#127—611no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—1221no—
1112#126—1221no—
1113#126—1221no—
1114#126—1221no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#125—21no—
1121#125—21no—
1122#125—611no—
1123#125—1221no—
1124#125—1221no—
1125#125—1221no—
1126#125—1221no—
1127#125—1221no—
1128#125—1221no—
1129#125—1221no—
1130#125—1221no—
1131#125—1221no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125C22×D6111yescharacteristic
1136#124—21no—
1137#124—611no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124—1221no—
1142#124—1221no—
1143#124—1221no—
1144#124—1221no—
1145#124C22×D6111yescharacteristic
1146#123—21no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154C22⋊Q8—21no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—611no—
1159C22⋊Q8—611no—
1160C22⋊Q8—611no—
1161C22⋊Q8—611no—
1162C22⋊Q8—611no—
1163C22⋊Q8—611no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8C22×D6111yescharacteristic
1178C22⋊Q8C22×D6111yescharacteristic
1179C22⋊Q8C22×D6111yescharacteristic
1180#121—611no—
1181#121—611no—
1182#121—611no—
1183#121—1221no—
1184#121—1221no—
1185#121—1221no—
1186#121—1221no—
1187#121—1221no—
1188#121—1221no—
1189#121—1221no—
1190#121—1221no—
1191#121—1221no—
1192#121—1221no—
1193#121C22×D6111yescharacteristic
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—611no—
1200C4×Q8—611no—
1201C4×Q8—611no—
1202C4×Q8—611no—
1203C4×Q8—611no—
1204C4×Q8—611no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8—1221no—
1209C4×Q8—1221no—
1210C4×Q8—1221no—
1211C4×Q8—1221no—
1212C4×Q8—1221no—
1213C4×Q8—1221no—
1214C4×Q8—1221no—
1215C4×Q8—1221no—
1216C4×Q8—1221no—
1217C4×Q8C22×D6111yescharacteristic
1218C4×Q8C22×D6111yescharacteristic
1219C4×Q8C22×D6111yescharacteristic
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238#117—611no—
1239#117—611no—
1240#117—611no—
1241#117—611no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117—1221no—
1251#117—1221no—
1252#117—1221no—
1253#117—1221no—
1254#117C22×D6111yescharacteristic
1255C2×C4⋊C4—611no—
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—1221no—
1258C2×C4⋊C4—1221no—
1259C2×C4⋊C4—1221no—
1260C2×C4⋊C4—1221no—
1261C2×C4⋊C4—1221no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107C22×D6111yescharacteristic
1272#107C22×D6111yescharacteristic
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106C22×D6111yescharacteristic
1280#106C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103C22×D6111yescharacteristic
1300#103C22×D6111yescharacteristic
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#103C22×D6111yescharacteristic
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317#97C22×D6111yescharacteristic
1318#97C22×D6111yescharacteristic
1319C4×C8—611no—
1320C4×C8—611no—
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8C22×D6111yescharacteristic
1328C4×C8C22×D6111yescharacteristic
1329#41—1222no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—1222no—
1335#41—4882no—
1336#41—4882no—
1337C2×Q8—21no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1222no—
1349C2×Q8—1222no—
1350C2×Q8—1222no—
1351C2×Q8—1222no—
1352C2×Q8—1221no—
1353C2×Q8—4882no—
1354C2×Q8C23×D6111yescharacteristic
1355C2×Q8C23×D6111yescharacteristic
1356C2×Q8C23×D6111yescharacteristic
1357C2×D4—21no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4C23×D6111yescharacteristic
1389Q16—22no—
1390Q16—22no—
1391Q16—1222no—
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—1222no—
1396Q16—1222no—
1397SD16—22no—
1398SD16—22no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—1222no—
1405M16—22no—
1406M16—614no—
1407M16—614no—
1408M16—1222no—
1409M16—1222no—
1410M16—1222no—
1411C2×C8—22no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—1222no—
1417C2×C8—1222no—
1418C2×C8—1222no—
1419C2×C8—1222no—
1420C2×C8—1222no—
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C2×C8C23×D6111yescharacteristic
1424C2×C8C23×D6111yescharacteristic
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—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
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⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4D4×D6111yescharacteristic
1480C4⋊C4D4×D6111yescharacteristic
1481C4⋊C4C23×D6111yescharacteristic
1482C4⋊C4C23×D6111yescharacteristic
1483C4⋊C4C23×D6111yescharacteristic
1484C4⋊C4C23×D6111yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—611no—
1495C22⋊C4—611no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4D4×D6111yescharacteristic
1516C22⋊C4D4×D6111yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42C23×D6111yescharacteristic
1540C42C23×D6111yescharacteristic
1541C23—21no—
1542C23—611no—
1543C23—611no—
1544C23—1221no—
1545C23C2×D4×D6111yescharacteristic
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—81no—
1553Q8—1222no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—1221no—
1557Q8—1221no—
1558Q8—1221no—
1559Q8—1221no—
1560Q8—4881no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8—2442no—
1564Q8—2442no—
1565Q8—2442no—
1566Q8—2442no—
1567D4—21no—
1568D4—21no—
1569D4—81no—
1570D4—1222no—
1571D4—1222no—
1572D4—1222no—
1573D4—1221no—
1574D4—1221no—
1575D4—4881no—
1576D4—4881no—
1577D4—4881no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581D4—2442no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—81no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—612no—
1596C2×C4—612no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—1222no—
1601C2×C4—1222no—
1602C2×C4—1222no—
1603C2×C4—1222no—
1604C2×C4—1222no—
1605C2×C4—1222no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—4881no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2442no—
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C2×D4×D6111yescharacteristic
1629C2×C4C24×D6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—612no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C8#41×D6112yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—612no—
1645C22—1221no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22C22×D4×D6111yescharacteristic
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—612no—
1667C4—612no—
1668C4—612no—
1669C4—1221no—
1670C4—1221no—
1671C4—1221no—
1672C4—2441no—
1673C4—2441no—
1674C4—2441no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4C2×#41×D6111yescharacteristic
1680C4C2×#41×D6111yescharacteristic
1681C2—41no—
1682C2—81no—
1683C2—1222no—
1684C2—4881no—
1685C2—2441no—
1686C2#532×D6111yescharacteristic
1687C2#577×D6111yescharacteristic
1688C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3178C2
socleC22×C61C23×D4
prime radical#21459724C2
hypercenter#3178D61
hypocenterC61#60723
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
2. #21459701C2semidirect
3. #21456561C2semidirect
4. #21456559C2semidirect
5. #21456534C2semidirect
6. #21456532C2semidirect
7. #21456494C2semidirect
8. #21456492C2semidirect
9. #21456489C2semidirect
10. #21456487C2semidirect
11. #21456486C2semidirect
12. #21456484C2semidirect
13. #21456481C2semidirect
14. #21456402C2semidirect
15. #21456400C2semidirect
16. #21456375C2semidirect
17. #21456373C2semidirect
18. #21456364C2semidirect
19. #21456275C2semidirect
20. #21456140C2semidirect
21. #487×D61C2semidirect
22. #21455509C2semidirect
23. #21455507C2semidirect
24. #21455505C2semidirect
25. #21455503C2semidirect
26. #21454661C2semidirect
27. #21454659C2semidirect
28. #21454657C2semidirect
29. #21454655C2semidirect
30. #21454241C2semidirect
31. C61×#3178C2semidirect
690. #11758189#41semidirect
691. #11758189#41semidirect
850. #3178D61semidirect
1047. C61#60723semidirect

Maximal subgroups

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

subgroupindex
#214597242
#214597012
#214565612
#214565592
#214565342
#214565322
#214564942
#214564922
#214564892
#214564872
#214564862
#214564842
#214564812
#214564022
#214564002
#214563752
#214563732
#214563642
#214562752
#214561402
#487×D612
#214555092
#214555072
#214555052
#214555032
#214546612
#214546592
#214546572
#214546552
#214542412
C61×#31782
#6072361