Finite Group Databasebeta

← #30562818

Subgroups — #30562818

Order 15616.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459810C211yesmaximal, characteristic, complemented
2#21459806C211yesmaximal, characteristic, complemented
3#21458895C211yesmaximal, characteristic, complemented
4#21458783C211yesmaximal, characteristic, complemented
5#21458509C211yesmaximal, characteristic, complemented
6#21458501C211yesmaximal, characteristic, complemented
7#21458389C211yesmaximal, characteristic, complemented
8#21458303C211yesmaximal, characteristic, complemented
9#21458299C211yesmaximal, characteristic, complemented
10#21457720C211yesmaximal, characteristic, complemented
11#21457716C211yesmaximal, characteristic, complemented
12#21457712C211yesmaximal, characteristic, complemented
13#21457701C211yesmaximal, characteristic, complemented
14#21457694C211yesmaximal, characteristic, complemented
15#21457690C211yesmaximal, characteristic, complemented
16#21457473C211yesmaximal, characteristic, complemented
17#21457396C211yesmaximal, characteristic, complemented
18#21457388C211yesmaximal, characteristic, complemented
19#21456491C211yesmaximal, characteristic, complemented
20#21456385C211yesmaximal, characteristic, complemented
21#21456118C211yesmaximal, characteristic, complemented
22#21456114C211yesmaximal, characteristic, complemented
23#21456085C211yesmaximal, characteristic, complemented
24#21456075C211yesmaximal, characteristic, complemented
25#21455994C211yesmaximal, characteristic, complemented
26#21455988C211yesmaximal, characteristic, complemented
27#21454790C211yesmaximal, characteristic, complemented
28#21454664C211yesmaximal, characteristic, complemented
29#21454655C211yesmaximal, characteristic, complemented
30C4×Q16×D61C211yesmaximal, characteristic, complemented
31C61×#3178C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840487C2211yescharacteristic
37#16840486C2211yescharacteristic
38#16840483—21no—
39#16840481C2211yescharacteristic
40#16840479—21no—
41#16840473C2211yescharacteristic
42#16840470C2211yescharacteristic
43#16840468—21no—
44#16840466—21no—
45#16840465C2211yescharacteristic
46#16840463—21no—
47#16840459C2211yescharacteristic
48#16840457—21no—
49#16840454C2211yescharacteristic
50#16840449—21no—
51#16840446C2211yescharacteristic
52#16840444—21no—
53#16840427C2211yescharacteristic
54#16840425C2211yescharacteristic
55#16840422C2211yescharacteristic
56#16840422C2211yescharacteristic
57#16840420C2211yescharacteristic
58#16840418C2211yescharacteristic
59#16840384C2211yescharacteristic
60#16840378—21no—
61#16840376—21no—
62#16840371—21no—
63#16840370C2211yescharacteristic
64#16840369—21no—
65#16840299C2211yescharacteristic
66#16840297—21no—
67#16840295—21no—
68#16840295—21no—
69#16840294C2211yescharacteristic
70#16840291—21no—
71#16840290C2211yescharacteristic
72#16840242C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic
75#16840238C2211yescharacteristic
76C4×Q8×D61C2211yescharacteristic
77C4×Q8×D61C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840155C2211yescharacteristic
81#16840143C2211yescharacteristic
82#16840118C2211yescharacteristic
83#16840118C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840111C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840101C2211yescharacteristic
88#16840100C2211yescharacteristic
89#16840100C2211yescharacteristic
90#16840099C2211yescharacteristic
91#16840096C2211yescharacteristic
92#16840096C2211yescharacteristic
93#16840095C2211yescharacteristic
94#16840082C2211yescharacteristic
95#16840079C2211yescharacteristic
96#16840077C2211yescharacteristic
97#16840073C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840071C2211yescharacteristic
101#16840068C2211yescharacteristic
102#16840067C2211yescharacteristic
103#16840067C2211yescharacteristic
104#16840066C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840056C2211yescharacteristic
107#16840054C2211yescharacteristic
108#16840040C2211yescharacteristic
109#16840039C2211yescharacteristic
110#16840017C2211yescharacteristic
111#16840009C2211yescharacteristic
112#16840002C2211yescharacteristic
113#16840002C2211yescharacteristic
114#16839997C2211yescharacteristic
115#16839994C2211yescharacteristic
116#16839992C2211yescharacteristic
117#16839988C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839981C2211yescharacteristic
124#16839979C2211yescharacteristic
125#16839974C2211yescharacteristic
126#16839971C2211yescharacteristic
127#16839970C2211yescharacteristic
128#16839969C2211yescharacteristic
129#16839969C2211yescharacteristic
130#16839922C2211yescharacteristic
131#16839921C2211yescharacteristic
132#16839919C2211yescharacteristic
133#16839919C2211yescharacteristic
134#16839917C2211yescharacteristic
135#16839917C2211yescharacteristic
136#16839916C2211yescharacteristic
137#16839916C2211yescharacteristic
138#16839908C2211yescharacteristic
139#16839905C2211yescharacteristic
140#16839902C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839890C2211yescharacteristic
143C8×Dic122C2211yescharacteristic
144#16839870C2211yescharacteristic
145#16839870C2211yescharacteristic
146#16839868C2211yescharacteristic
147#16839867C2211yescharacteristic
148#16839867C2211yescharacteristic
149#16839864C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839863C2211yescharacteristic
152#16839862C2211yescharacteristic
153#16839860C2211yescharacteristic
154C4×Dic244C2211yescharacteristic
155C4×Dic244C2211yescharacteristic
156Q16×Dic61C2211yescharacteristic
157#16839856C2211yescharacteristic
158C4×#11758202C2211yescharacteristic
159C4×#11758202C2211yescharacteristic
160C4×#11758202C2211yescharacteristic
161#16839854C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839854C2211yescharacteristic
164#16839853C2211yescharacteristic
165C4×#11758190C2211yescharacteristic
166C4×#11758190C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839838C2211yescharacteristic
169#16839835C2211yescharacteristic
170#16839831C2211yescharacteristic
171C8×D244C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic
174#16839824C2211yescharacteristic
175#16839823C2211yescharacteristic
176#16839817C2211yescharacteristic
177#16839804C2211yescharacteristic
178#16839801C2211yescharacteristic
179#107×D61C2211yescharacteristic
180#16839759C2211yescharacteristic
181#16839755C2211yescharacteristic
182C2×#14519702C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#103×D61C2211yescharacteristic
186#16839716C2211yescharacteristic
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×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209#14519810—24no—
210#14519806—24no—
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218Q16×D61—24no—
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776C2311yescharacteristic
232#14519775—21no—
233#14519775C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772D411yescharacteristic
241#14519771—21no—
242#14519771—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767D411yescharacteristic
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519765—21no—
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763D411yescharacteristic
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762D411yescharacteristic
276#14519761—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759D411yescharacteristic
280#14519758—21no—
281#14519757—21no—
282#14519757—21no—
283#14519757C2311yescharacteristic
284#14519757C2311yescharacteristic
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755D411yescharacteristic
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519753C2311yescharacteristic
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519752C2311yescharacteristic
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750D411yescharacteristic
309#14519749—21no—
310#14519748—21no—
311#14519748C2311yescharacteristic
312Q8×Dic61—21no—
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61C2311yescharacteristic
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519736—21no—
359#14519736C2311yescharacteristic
360#14519735—21no—
361#14519735—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735C2311yescharacteristic
365#14519734—21no—
366#14519734—21no—
367#14519734C2311yescharacteristic
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373C2×C4⋊Dic61C2311yescharacteristic
374C2×#11758196—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C42×D61—21no—
382C42×D61—21no—
383C42×D61C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#126×C61—21no—
449#125×C61—21no—
450#125×C61—21no—
451#125×C61C2311yescharacteristic
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61C2×D411yescharacteristic
493C2×C22⋊D61C2×D411yescharacteristic
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498Q8×D61—22no—
499Q8×D61—22no—
500Q8×D61—22no—
501Q8×D61—41no—
502Q8×D61—41no—
503Q8×D61—41no—
504#11758224—22no—
505#11758224—41no—
506#11758222—22no—
507#11758222—41no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244C2×D411yescharacteristic
511C2×D244C2411yescharacteristic
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61C2×D411yescharacteristic
522C2×C4×D61C2×D411yescharacteristic
523C2×C4×D61C2411yescharacteristic
524C2×C4×D61C2411yescharacteristic
525C2×Dic122—22no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—41no—
532C2×Dic122C2×D411yescharacteristic
533C2×Dic122C2411yescharacteristic
534C2×Dic122C2411yescharacteristic
535C2×Dic122C2411yescharacteristic
536Q16×C61—22no—
537Q16×C61—41no—
538SD16×C61—22no—
539SD16×C61—41no—
540M16×C61—22no—
541C2×C8×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
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—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758202—22no—
585#11758202—22no—
586#11758202—22no—
587#11758202—41no—
588#11758202—41no—
589#11758201—41no—
590#11758200—22no—
591#11758199—41no—
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#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
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
627#11758196—21no—
628#11758196—21no—
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#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
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×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×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679Dic244#4114yes—
680#11758190—22no—
681#11758190—22no—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C22×D61—21no—
689C22×D61C22×D411yescharacteristic
690C22×D61C22×D411yescharacteristic
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—21no—
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—81no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—81no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—81no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—22no—
718C22⋊D61—41no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—42no—
730C2×Dic61—42no—
731C2×Dic61—81no—
732C2×Dic61—81no—
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739D244—22no—
740D244—21no—
741D244—21no—
742D244—42no—
743D244—81no—
744C4×D61—22no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—41no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—41no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—42no—
768Dic122—81no—
769Dic122C2×#4112yes—
770Dic122C2×#4112yes—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774C8×C61C2×#4112yes—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#92418—21no—
779#61491—611nomaximal, Sylow
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61C23×D411yescharacteristic
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61#57812yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C22×#4111yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—22no—
813Dic61—22no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823#3516—611no—
824#3516—611no—
825#3402—611no—
826#3390—611no—
827#3364—611no—
828#3364—611no—
829#3352—611no—
830#3346—611no—
831#3346—611no—
832#3301—611no—
833#3301—611no—
834#3300—611no—
835#3300—611no—
836#3299—611no—
837#3299—611no—
838#3277—611no—
839#3270—611no—
840#3270—611no—
841#3178—611no—
842#3178D6111yescharacteristic, complemented
843#3168—611no—
844#3127—611no—
845#3127—611no—
846#3124—611no—
847#3124—611no—
848#3117—611no—
849#3117—611no—
850#2966—611no—
851#2947—611no—
852#2947—611no—
853C2×C4×Q16—611no—
854C2×C61—41no—
855C2×C61—81no—
856C2×C61D4×#4111yescharacteristic
857C2×C61C2×#57811yescharacteristic
858C2×C61#358411yescharacteristic
859D61—22no—
860D61—41no—
861D61—81no—
862C2×#137—611no—
863C2×#137—611no—
864C22×Q16—611no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—611no—
869#556—1221no—
870#556—1221no—
871#554—611no—
872#554—611no—
873#554—1221no—
874#554—1221no—
875#553—611no—
876#553—611no—
877#553—1221no—
878#553—1221no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#552—1221no—
883D4×Q8—611no—
884D4×Q8—611no—
885#548—611no—
886#548—611no—
887#548—611no—
888#548—611no—
889#542—611no—
890#542—1221no—
891#542—1221no—
892#542C2×D6111yescharacteristic
893#541—611no—
894#541—1221no—
895#541—1221no—
896#541C2×D6111yescharacteristic
897#529—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#529—1221no—
902#529—1221no—
903#529—1221no—
904#520—611no—
905#520—611no—
906#519—611no—
907#519—611no—
908C2×C4×Q8—611no—
909C2×C4×Q8—611no—
910#501—611no—
911#501C2×D6111yescharacteristic
912#499—611no—
913#497—611no—
914#497C2×D6111yescharacteristic
915#495—611no—
916#488—611no—
917#488—611no—
918#488—611no—
919#488C2×D6111yescharacteristic
920#487—611no—
921#487C2×D6111yescharacteristic
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#484—611no—
927#484—611no—
928#484—611no—
929#484—611no—
930#481—611no—
931#481—611no—
932#480—611no—
933#480—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#477—611no—
943#477—611no—
944#474—611no—
945#474—611no—
946#470—611no—
947#470C2×D6111yescharacteristic
948#468—611no—
949#468C2×D6111yescharacteristic
950#467—611no—
951#467—611no—
952#467C2×D6111yescharacteristic
953#466—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#465C2×D6111yescharacteristic
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#464—611no—
963#464—611no—
964#463—611no—
965#463—611no—
966#462—611no—
967#462—611no—
968#462—611no—
969#462—611no—
970#452—611no—
971#452—611no—
972#451—611no—
973#451—611no—
974#451—611no—
975#451—611no—
976#451—611no—
977#451—611no—
978#449—611no—
979#449—611no—
980#448—611no—
981#448—611no—
982#446—611no—
983C8×Q8—611no—
984#441—611no—
985#441—611no—
986#441—611no—
987#441—611no—
988#441—611no—
989#441C2×D6111yescharacteristic
990#440—611no—
991#440—611no—
992#440—611no—
993#440—611no—
994#440—611no—
995#440C2×D6111yescharacteristic
996C4×Q16—611no—
997C4×Q16—611no—
998C4×Q16—611no—
999C4×Q16—611no—
1000C4×Q16—611no—
1001C4×Q16—611no—
1002C4×Q16—611no—
1003C4×Q16—611no—
1004C4×Q16—611no—
1005C4×Q16—611no—
1006C4×Q16C2×D6111yescharacteristic
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16C2×D6111yescharacteristic
1011C4×D8—611no—
1012#436—611no—
1013#435—611no—
1014#435—611no—
1015C8×D4—611no—
1016C8×D4—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#432—611no—
1021#428—611no—
1022#428—611no—
1023C2×#107—611no—
1024#416—611no—
1025#416—611no—
1026C2×#103—611no—
1027C2×#103—611no—
1028C2×#103—611no—
1029C2×#103—611no—
1030#405—611no—
1031#405C2×D6111yescharacteristic
1032C2×C4×C8—611no—
1033C61#6149111yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C22×Q8—611no—
1037C22×Q8—611no—
1038C22×Q8—611no—
1039C22×Q8—611no—
1040#137—1224no—
1041#137—1224no—
1042C2×Q16—611no—
1043C2×Q16—611no—
1044C2×Q16—611no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×Q16—611no—
1048C2×Q16—611no—
1049C2×Q16—1224no—
1050C2×Q16C22×D6111yescharacteristic
1051C2×Q16C22×D6111yescharacteristic
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×M16—611no—
1060C2×M16C22×D6111yescharacteristic
1061C22×C8—611no—
1062C22×C8—611no—
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8C22×D6111yescharacteristic
1072C4⋊Q8C22×D6111yescharacteristic
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—611no—
1077#126—611no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#125—21no—
1092#125—21no—
1093#125—611no—
1094#125—611no—
1095#125—611no—
1096#125—611no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125C22×D6111yescharacteristic
1108#124—21no—
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—611no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124C22×D6111yescharacteristic
1119#123—21no—
1120#123—611no—
1121#123—611no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129C22⋊Q8—21no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—611no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8C22×D6111yescharacteristic
1152C22⋊Q8C22×D6111yescharacteristic
1153C22⋊Q8C22×D6111yescharacteristic
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121C22×D6111yescharacteristic
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8—1221no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8—1221no—
1185C4×Q8—1221no—
1186C4×Q8—1221no—
1187C4×Q8—1221no—
1188C4×Q8—1221no—
1189C4×Q8C22×D6111yescharacteristic
1190C4×Q8C22×D6111yescharacteristic
1191C4×Q8C22×D6111yescharacteristic
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—611no—
1196C4×D4—611no—
1197C4×D4—611no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4C22×D6111yescharacteristic
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117—1221no—
1228#117—1221no—
1229#117—1221no—
1230#117C22×D6111yescharacteristic
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—611no—
1233C2×C4⋊C4—611no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—1221no—
1236C2×C4⋊C4—1221no—
1237C2×C4⋊C4—1221no—
1238C2×C4⋊C4—1221no—
1239C2×C42—611no—
1240C2×C42—1221no—
1241C2×C42—1221no—
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#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106C22×D6111yescharacteristic
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#103C22×D6111yescharacteristic
1286#103C22×D6111yescharacteristic
1287#103C22×D6111yescharacteristic
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296C22⋊C8—611no—
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302#97—611no—
1303#97—611no—
1304#97C22×D6111yescharacteristic
1305#97C22×D6111yescharacteristic
1306C4×C8—611no—
1307C4×C8—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8C22×D6111yescharacteristic
1311C4×C8C22×D6111yescharacteristic
1312#41—1222no—
1313#41—1222no—
1314#41—2441no—
1315#41—2441no—
1316C2×Q8—21no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1222no—
1326C2×Q8—1221no—
1327C2×Q8—1222no—
1328C2×Q8—1222no—
1329C2×Q8—1222no—
1330C2×Q8—2441no—
1331C2×Q8—2441no—
1332C2×Q8—2441no—
1333C2×Q8—2441no—
1334C2×Q8C23×D6111yescharacteristic
1335C2×Q8C23×D6111yescharacteristic
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4C23×D6111yescharacteristic
1367Q16—22no—
1368Q16—41no—
1369Q16—614no—
1370Q16—1222no—
1371Q16—1222no—
1372Q16—1222no—
1373Q16—1222no—
1374Q16—2441no—
1375Q16—2441no—
1376SD16—22no—
1377SD16—41no—
1378SD16—1222no—
1379SD16—1222no—
1380SD16—1222no—
1381SD16—2441no—
1382D8—2441no—
1383M16—22no—
1384M16—1222no—
1385C2×C8—41no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8—1222no—
1391C2×C8—2441no—
1392C2×C8—2441no—
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C2×C8C23×D6111yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1452C4⋊C4D4×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
1467C22⋊C4—611no—
1468C22⋊C4—611no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1492C22⋊C4D4×D6111yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42C23×D6111yescharacteristic
1516C42C23×D6111yescharacteristic
1517C23—21no—
1518C23—611no—
1519C23—611no—
1520C23—1221no—
1521C23C2×D4×D6111yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—81no—
1529Q8—612no—
1530Q8—612no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—4881no—
1536Q8—2441no—
1537Q8—2442no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—81no—
1544D4—1222no—
1545D4—1222no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—2442no—
1550D4—2441no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1222no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C2×D4×D6111yescharacteristic
1601C2×C4C24×D6111yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C8#41×D6112yes—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—612no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—1221no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1222no—
1643C4—1222no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#41×D6111yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—2441no—
1658C2#2145930511yescharacteristic
1659C2#578×D6111yescharacteristic
1660C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3178C2
socleC22×C61C23×D4
hypercenter#3178D61
hypocenterC61#61491
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
1. #21459810C2semidirect
2. #21459806C2semidirect
3. #21458895C2semidirect
4. #21458783C2semidirect
5. #21458509C2semidirect
6. #21458501C2semidirect
7. #21458389C2semidirect
8. #21458303C2semidirect
9. #21458299C2semidirect
10. #21457720C2semidirect
11. #21457716C2semidirect
12. #21457712C2semidirect
13. #21457701C2semidirect
14. #21457694C2semidirect
15. #21457690C2semidirect
16. #21457473C2semidirect
17. #21457396C2semidirect
18. #21457388C2semidirect
19. #21456491C2semidirect
20. #21456385C2semidirect
21. #21456118C2semidirect
22. #21456114C2semidirect
23. #21456085C2semidirect
24. #21456075C2semidirect
25. #21455994C2semidirect
26. #21455988C2semidirect
27. #21454790C2semidirect
28. #21454664C2semidirect
29. #21454655C2semidirect
30. C4×Q16×D61C2semidirect
31. C61×#3178C2semidirect
842. #3178D61semidirect
1033. C61#61491semidirect

Maximal subgroups

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

subgroupindex
#214598102
#214598062
#214588952
#214587832
#214585092
#214585012
#214583892
#214583032
#214582992
#214577202
#214577162
#214577122
#214577012
#214576942
#214576902
#214574732
#214573962
#214573882
#214564912
#214563852
#214561182
#214561142
#214560852
#214560752
#214559942
#214559882
#214547902
#214546642
#214546552
C4×Q16×D612
C61×#31782
#6149161