Finite Group Databasebeta

← #30573762

Subgroups — #30573762

Order 15616.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460186C211yesmaximal, characteristic, complemented
2#21459929C211yesmaximal, characteristic, complemented
3#21458891C211yesmaximal, characteristic, complemented
4#21458856C211yesmaximal, characteristic, complemented
5#21458658C211yesmaximal, characteristic, complemented
6#21458546C211yesmaximal, characteristic, complemented
7#21457975C211yesmaximal, characteristic, complemented
8#21457953C211yesmaximal, characteristic, complemented
9#21457949C211yesmaximal, characteristic, complemented
10#21457801C211yesmaximal, characteristic, complemented
11#21457770C211yesmaximal, characteristic, complemented
12#21457649C211yesmaximal, characteristic, complemented
13#21457573C211yesmaximal, characteristic, complemented
14#21457405C211yesmaximal, characteristic, complemented
15#21457377C211yesmaximal, characteristic, complemented
16#21457352C211yesmaximal, characteristic, complemented
17#21457314C211yesmaximal, characteristic, complemented
18#21457277C211yesmaximal, characteristic, complemented
19#21457233C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21456906C211yesmaximal, characteristic, complemented
22#21456865C211yesmaximal, characteristic, complemented
23#21456860C211yesmaximal, characteristic, complemented
24#21456102C211yesmaximal, characteristic, complemented
25#21456049C211yesmaximal, characteristic, complemented
26#21455963C211yesmaximal, characteristic, complemented
27#21455361C211yesmaximal, characteristic, complemented
28#21455337C211yesmaximal, characteristic, complemented
29#21455270C211yesmaximal, characteristic, complemented
30#21454952C211yesmaximal, characteristic, complemented
31C61×#3282C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519804C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic, complemented
36#16840501—21no—
37#16840500—21no—
38#16840494—21no—
39#16840494C2211yescharacteristic, complemented
40#16840491C2211yescharacteristic, complemented
41#16840481C2211yescharacteristic
42#16840477—21no—
43#16840477C2211yescharacteristic, complemented
44#16840459—21no—
45#16840459C2211yescharacteristic
46#16840457—21no—
47#16840446—21no—
48#16840446C2211yescharacteristic, complemented
49#16840433C2211yescharacteristic
50#16840433C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840431C2211yescharacteristic, complemented
53#16840423C2211yescharacteristic
54#16840414C2211yescharacteristic
55#16840409C2211yescharacteristic
56#16840402—21no—
57D4×C22⋊D61C2211yescharacteristic
58#16840385C2211yescharacteristic
59#16840381—21no—
60#16840381C2211yescharacteristic, complemented
61#16840377C2211yescharacteristic
62#16840365—21no—
63#16840365C2211yescharacteristic, complemented
64#16840350—21no—
65#16840348—21no—
66#16840341—21no—
67#16840330C2211yescharacteristic
68#16840329C2211yescharacteristic
69#16840327—21no—
70#16840308C2211yescharacteristic
71#16840307C2211yescharacteristic
72#16840298—21no—
73#16840298C2211yescharacteristic, complemented
74#16840292—21no—
75#16840292C2211yescharacteristic
76#16840244C2211yescharacteristic, complemented
77#16840240C2211yescharacteristic, complemented
78#41×Dic61C2211yescharacteristic, complemented
79#16840155C2211yescharacteristic, complemented
80#16840152C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic
82#16840148C2211yescharacteristic
83#16840137C2211yescharacteristic, complemented
84#16840129C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic
86#16840125C2211yescharacteristic, complemented
87#16840121C2211yescharacteristic
88#16840115C2211yescharacteristic
89#16840109C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic
93#16840087C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic
95#16840079C2211yescharacteristic
96#16840071C2211yescharacteristic, complemented
97#16840061C2211yescharacteristic, complemented
98#16840061C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic
100#16840058C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840051C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840042C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic
107#16840010C2211yescharacteristic, complemented
108#16840007C2211yescharacteristic, complemented
109#16840005C2211yescharacteristic
110#16840002C2211yescharacteristic, complemented
111#16839998C2211yescharacteristic
112#16839998C2211yescharacteristic, complemented
113#16839996C2211yescharacteristic
114#16839995C2211yescharacteristic
115#16839993C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic, complemented
118#16839982C2211yescharacteristic
119#16839982C2211yescharacteristic
120#16839982C2211yescharacteristic, complemented
121#16839982C2211yescharacteristic, complemented
122#16839981C2211yescharacteristic, complemented
123#16839980C2211yescharacteristic, complemented
124#16839980C2211yescharacteristic, complemented
125#16839979C2211yescharacteristic
126#16839979C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839974C2211yescharacteristic
130#16839970C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839962C2211yescharacteristic, complemented
133#16839960C2211yescharacteristic
134#16839960C2211yescharacteristic
135#16839960C2211yescharacteristic
136#16839960C2211yescharacteristic, complemented
137#16839960C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic, complemented
139#16839958C2211yescharacteristic, complemented
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839923C2211yescharacteristic, complemented
146#16839922C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic
148#16839909C2211yescharacteristic, complemented
149#16839909C2211yescharacteristic, complemented
150#16839907C2211yescharacteristic, complemented
151#16839907C2211yescharacteristic, complemented
152#16839906C2211yescharacteristic
153#16839906C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839901C2211yescharacteristic
156#16839896C2211yescharacteristic
157#16839894C2211yescharacteristic
158#16839892C2211yescharacteristic, complemented
159#16839891C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic
161#16839872C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic, complemented
163#16839869C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic, complemented
167#16839863C2211yescharacteristic
168Q16×Dic61C2211yescharacteristic, complemented
169C4×#11758190C2211yescharacteristic, complemented
170#16839847C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic
172#16839834C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic
174#16839830C2211yescharacteristic, complemented
175C8×C22⋊D61C2211yescharacteristic, complemented
176#16839821C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic, complemented
178#16839816C2211yescharacteristic, complemented
179#16839788C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic, complemented
182#16839767C2211yescharacteristic
183#16839762C2211yescharacteristic, complemented
184#16839759C2211yescharacteristic, complemented
185#16839759C2211yescharacteristic, complemented
186#16839758C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C2×#135×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic
193C61×#465C2211yescharacteristic
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic
196C61×#463C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic
200C61×#447C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C22×C22⋊D61—21no—
210C2×D4×D61C2311yescharacteristic
211#14519808—42no—
212#14519804—42no—
213#14519800—42no—
214#14519797—42no—
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×D488C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C22×#92418C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234#14519777—21no—
235#14519777C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519774C2311yescharacteristic
239#14519773—21no—
240#14519773—21no—
241#14519773—21no—
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519773C2311yescharacteristic
246#14519772—21no—
247#14519772—21no—
248#14519772D411yescharacteristic
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770D411yescharacteristic
256#14519768—21no—
257#14519768—21no—
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519767—21no—
261#14519767D411yescharacteristic
262#14519766—21no—
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763D411yescharacteristic
275#14519762—21no—
276#14519761—21no—
277#14519761—21no—
278#14519761—21no—
279#14519761—21no—
280#14519761D411yescharacteristic
281#14519760—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519758D411yescharacteristic
290#14519757—21no—
291#14519757C2311yescharacteristic
292#14519756—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754D411yescharacteristic
296#14519753—21no—
297#14519753C2311yescharacteristic
298#14519751—21no—
299#14519751—21no—
300#14519751—21no—
301#14519751—21no—
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749D411yescharacteristic
319#14519748—21no—
320#14519748—21no—
321#14519748—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329#14519747—21no—
330#14519747—21no—
331#14519746—21no—
332#14519746—21no—
333#14519746—21no—
334#14519745—21no—
335#14519745—21no—
336Q8×Dic61—21no—
337Q8×Dic61—21no—
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344C4×Dic122—21no—
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×D244—21no—
348C4×D244C2311yescharacteristic
349D4×Dic61—21no—
350D4×Dic61—21no—
351D4×Dic61C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353D4×Dic61C2311yescharacteristic
354#14519739—21no—
355#14519739—21no—
356#14519739C2311yescharacteristic
357#14519739C2311yescharacteristic
358#14519739C2311yescharacteristic
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61C2311yescharacteristic
365C4×C22⋊D61C2311yescharacteristic
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736—21no—
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735—21no—
378#14519735—21no—
379#14519734—21no—
380#14519734C2311yescharacteristic
381#14519733—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61C2311yescharacteristic
385C22⋊C4×D61—21no—
386C2×C4×Dic61—21no—
387C2×C4×Dic61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61—42no—
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486#41×C61—22no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490C2×Q8×C61—21no—
491C2×Q8×C61—22no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—82no—
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61C2×D411yescharacteristic
537C22×Dic61C2×D411yescharacteristic
538#11758226—22no—
539#11758226—41no—
540#11758226—41no—
541#11758226—41no—
542#11758224—82no—
543D4×D61—41no—
544D4×D61—41no—
545#11758222—41no—
546#11758222—41no—
547#11758222—41no—
548#11758222—41no—
549#11758222—82no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244C2411yescharacteristic
555C2×D244C2411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61C2411yescharacteristic
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122C2×D411yescharacteristic
570C2×Dic122C2411yescharacteristic
571Q16×C61—22no—
572Q16×C61—41no—
573SD16×C61—22no—
574SD16×C61—22no—
575SD16×C61—41no—
576SD16×C61—41no—
577SD16×C61—41no—
578D8×C61—41no—
579D8×C61—41no—
580C2×C8×C61—41no—
581C2×C8×C61—41no—
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C2×C8×C61C2411yescharacteristic
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61C2×D411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61C2×D411yescharacteristic
602C22⋊C4×C61C2×D411yescharacteristic
603C42×C61—21no—
604C42×C61C2411yescharacteristic
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61C2×D411yescharacteristic
617C22⋊Dic61C2×D411yescharacteristic
618C22⋊Dic61C2×D411yescharacteristic
619C22⋊Dic61C2×D411yescharacteristic
620#11758202—22no—
621#11758202—41no—
622#11758201—22no—
623#11758201—22no—
624#11758201—41no—
625#11758201—41no—
626#11758201—41no—
627#11758200—41no—
628#11758199—41no—
629#11758199—41no—
630#11758199—41no—
631#11758199—41no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680#11758196C2×D411yescharacteristic
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696C2×#92418—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701D488—41no—
702D488—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—81no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C23×C61C22×D411yescharacteristic
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—42no—
727Q8×C61H(5,𝔽2)12yes—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—41no—
735D4×C61—42no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C2511yescharacteristic
758C22⋊D61—41no—
759C22⋊D61—41no—
760C22⋊D61—42no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C22⋊D61—81no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—41no—
783C2×Dic61—41no—
784C2×Dic61—42no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794D244—21no—
795D244—21no—
796D244—21no—
797D244—21no—
798D244—21no—
799D244—21no—
800D244—42no—
801D244—81no—
802D244—81no—
803D244—81no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—42no—
807C4×D61—42no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815Dic122—21no—
816Dic122—21no—
817Dic122—41no—
818Dic122—81no—
819Dic122—81no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62026—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—162no—
845C22×C61C23×D411yescharacteristic
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—21no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—162no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—22no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61C2×H(5,𝔽2)11yescharacteristic
869C4×C61#58511yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546—611no—
883#3524—611no—
884#3401—611no—
885#3399—611no—
886#3377—611no—
887#3368—611no—
888#3319—611no—
889#3318—611no—
890#3317—611no—
891#3307—611no—
892#3305—611no—
893#3296—611no—
894#3287—611no—
895#3282D6111yescharacteristic, complemented
896#3271—611no—
897#3269—611no—
898#3268—611no—
899#3265—611no—
900#3262—611no—
901#3257—611no—
902#3247—611no—
903#3224—611no—
904#3220—611no—
905#3219—611no—
906#3125—611no—
907#3121—611no—
908#3115—611no—
909#3045—611no—
910#3043—611no—
911#3035—611no—
912#2992—611no—
913C2×C61—41no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61#348811yescharacteristic
919C2×C61#358411yescharacteristic
920C2×C61#358511yescharacteristic
921D61—41no—
922D61—81no—
923D61—81no—
924D61—81no—
925C2×#137—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135C2×D6111yescharacteristic, complemented
930C22×SD16C2×D6111yescharacteristic
931#560—1221no—
932#560—1221no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556—611no—
937#555—611no—
938#555—1221no—
939#553—611no—
940#553—1221no—
941#553—1221no—
942#552—611no—
943#552—1221no—
944#550—611no—
945#550—611no—
946#550—611no—
947#550—611no—
948#548—611no—
949#548C2×D6111yescharacteristic, complemented
950#547—611no—
951#546—611no—
952#546—1221no—
953#546C2×D6111yescharacteristic
954D42—611no—
955#542—611no—
956#542—611no—
957#542—611no—
958#542—1221no—
959#540—611no—
960#540—1221no—
961#538—1221no—
962#538—1221no—
963#537—1221no—
964#535—611no—
965#535—611no—
966#535—1221no—
967#532—611no—
968#532—611no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#529—1221no—
973#520—611no—
974#519—611no—
975C4×#41—611no—
976#497—611no—
977#496—611no—
978#496—611no—
979#496—611no—
980#495C2×D6111yescharacteristic
981#493—611no—
982#491—611no—
983#490—611no—
984#490—611no—
985#489—611no—
986#488—611no—
987#486—611no—
988#485—611no—
989#483—611no—
990#482—611no—
991#482—611no—
992#482—611no—
993#481—611no—
994#479—611no—
995#478—611no—
996#478—611no—
997#478—611no—
998#477—611no—
999#477—611no—
1000#476—611no—
1001#475—611no—
1002#474—611no—
1003#474—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#468—611no—
1008#467—611no—
1009#466—611no—
1010#466—611no—
1011#466—611no—
1012#466—611no—
1013#465—611no—
1014#465C2×D6111yescharacteristic
1015#465C2×D6111yescharacteristic, complemented
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#464C2×D6111yescharacteristic
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463C2×D6111yescharacteristic, complemented
1032#462—611no—
1033#461—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#452—611no—
1047#452—611no—
1048#452—611no—
1049#452C2×D6111yescharacteristic, complemented
1050#451C2×D6111yescharacteristic, complemented
1051#450—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449C2×D6111yescharacteristic
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#447C2×D6111yescharacteristic
1064#446—611no—
1065#446—611no—
1066#442—611no—
1067#442—611no—
1068#442—611no—
1069#441—611no—
1070#441—611no—
1071#440—611no—
1072#440—611no—
1073#440—611no—
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16C2×D6111yescharacteristic, complemented
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435—611no—
1082C8×D4—611no—
1083C8×D4C2×D6111yescharacteristic, complemented
1084#433—611no—
1085#433—611no—
1086#432—611no—
1087#424—611no—
1088#424—611no—
1089C2×C4⋊C8—611no—
1090#418—611no—
1091#417—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095C2×#102—611no—
1096C61#6202611yescharacteristic, complemented, Sylow
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—1221no—
1102C2×#41—1221no—
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C22×Q8C22×D6111yescharacteristic
1106C22×D4—611no—
1107C22×D4—1221no—
1108C22×D4C22×D6111yescharacteristic
1109#137—2442no—
1110AGL(1,ℤ/8)—2442no—
1111#135—42no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16C22×D6111yescharacteristic
1117C2×Q16C22×D6111yescharacteristic
1118C2×SD16—42no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×SD16C22×D6111yescharacteristic
1129C2×SD16C22×D6111yescharacteristic
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8C22×D6111yescharacteristic
1138C2×D8C22×D6111yescharacteristic
1139C2×M16—611no—
1140C2×M16—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8C22×D6111yescharacteristic
1144C22×C8C22×D6111yescharacteristic
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—611no—
1148C4⋊Q8—1221no—
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—611no—
1154#127—1221no—
1155#127—1221no—
1156#127—1221no—
1157#126—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#125—611no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#124—21no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124C22×D6111yescharacteristic
1188#124C22×D6111yescharacteristic
1189#123—21no—
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8C22×D6111yescharacteristic
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—21no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297#117—611no—
1298#117—611no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107—611no—
1320#106—611no—
1321#106—611no—
1322#106—611no—
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8C22×D6111yescharacteristic
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103C22×D6111yescharacteristic
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8C22×D6111yescharacteristic
1371C22⋊C8C22×D6111yescharacteristic
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97—611no—
1376C4×C8—611no—
1377C4×C8C22×D6111yescharacteristic
1378C24—21no—
1379C24—1221no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—1222no—
1385#41—4882no—
1386#41—4882no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—22no—
1396C2×Q8—41no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8—1221no—
1401C2×Q8C23×D6111yescharacteristic
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—4882no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4D4×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465Q16—22no—
1466Q16—41no—
1467Q16—1222no—
1468Q16—2441no—
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—1222no—
1475SD16—1222no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—41no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—2441no—
1490M16—2441no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4D4×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4D4×D6111yescharacteristic
1583C22⋊C4D4×D6111yescharacteristic
1584C42—21no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42—1221no—
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—611no—
1607C23—1221no—
1608C23—1221no—
1609C23—1221no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23C2×D4×D6111yescharacteristic
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—42no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8#1451982212yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—42no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—1221no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—2442no—
1665D4—2441no—
1666D4—2441no—
1667D4—2442no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—611no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2441no—
1707C2×C4—2441no—
1708C2×C4—2442no—
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—162no—
1738C22—1221no—
1739C22—1221no—
1740C22—1221no—
1741C22—9762no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C22×D4×D6111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—22no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—1221no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4C2×#1451982211yescharacteristic
1774C4#1684059711yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—4881no—
1781C2—4881no—
1782C2—4881no—
1783C2—2441no—
1784C2#2145947911yescharacteristic
1785C2#2146058811yescharacteristic
1786C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3282C2
socleC22×C61C23×D4
hypercenter#3282D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21460186C2semidirect
2. #21459929C2semidirect
3. #21458891C2semidirect
4. #21458856C2semidirect
5. #21458658C2semidirect
6. #21458546C2semidirect
7. #21457975C2semidirect
8. #21457953C2semidirect
9. #21457949C2semidirect
10. #21457801C2semidirect
11. #21457770C2semidirect
12. #21457649C2semidirect
13. #21457573C2semidirect
14. #21457405C2semidirect
15. #21457377C2semidirect
16. #21457352C2semidirect
17. #21457314C2semidirect
18. #21457277C2semidirect
19. #21457233C2semidirect
20. #21457140C2semidirect
21. #21456906C2semidirect
22. #21456865C2semidirect
23. #21456860C2semidirect
24. #21456102C2semidirect
25. #21456049C2semidirect
26. #21455963C2semidirect
27. #21455361C2semidirect
28. #21455337C2semidirect
29. #21455270C2semidirect
30. #21454952C2semidirect
31. C61×#3282C2semidirect
32. C2×#14519808C22semidirect
34. C2×#14519800C22semidirect
35. C2×#14519797C22semidirect
39. #16840494C22semidirect
40. #16840491C22semidirect
43. #16840477C22semidirect
48. #16840446C22semidirect
52. #16840431C22semidirect
60. #16840381C22semidirect
63. #16840365C22semidirect
73. #16840298C22semidirect
76. #16840244C22semidirect
77. #16840240C22semidirect
78. #41×Dic61C22semidirect
79. #16840155C22semidirect
80. #16840152C22semidirect
83. #16840137C22semidirect
84. #16840129C22semidirect
86. #16840125C22semidirect
89. #16840109C22semidirect
90. #16840100C22semidirect
91. #16840094C22semidirect
93. #16840087C22semidirect
96. #16840071C22semidirect
97. #16840061C22semidirect
98. #16840061C22semidirect
100. #16840058C22semidirect
101. #16840055C22semidirect
102. #16840051C22semidirect
103. #16840045C22semidirect
104. #16840042C22semidirect
105. #16840040C22semidirect
107. #16840010C22semidirect
108. #16840007C22semidirect
110. #16840002C22semidirect
112. #16839998C22semidirect
115. #16839993C22semidirect
116. #16839986C22semidirect
117. #16839986C22semidirect
120. #16839982C22semidirect
121. #16839982C22semidirect
122. #16839981C22semidirect
123. #16839980C22semidirect
124. #16839980C22semidirect
126. #16839979C22semidirect
127. #16839976C22semidirect
128. #16839975C22semidirect
130. #16839970C22semidirect
131. #16839965C22semidirect
132. #16839962C22semidirect
136. #16839960C22semidirect
137. #16839960C22semidirect
138. #16839960C22semidirect
139. #16839958C22semidirect
141. #16839956C22semidirect
144. #16839927C22semidirect
145. #16839923C22semidirect
146. #16839922C22semidirect
148. #16839909C22semidirect
149. #16839909C22semidirect
150. #16839907C22semidirect
151. #16839907C22semidirect
153. #16839906C22semidirect
154. #16839905C22semidirect
158. #16839892C22semidirect
159. #16839891C22semidirect
161. #16839872C22semidirect
162. #16839871C22semidirect
163. #16839869C22semidirect
164. #16839867C22semidirect
165. #16839865C22semidirect
166. #16839865C22semidirect
168. Q16×Dic61C22semidirect
169. C4×#11758190C22semidirect
170. #16839847C22semidirect
172. #16839834C22semidirect
174. #16839830C22semidirect
175. C8×C22⋊D61C22semidirect
176. #16839821C22semidirect
177. #16839820C22semidirect
178. #16839816C22semidirect
179. #16839788C22semidirect
180. #16839787C22semidirect
181. C2×#14519706C22semidirect
183. #16839762C22semidirect
184. #16839759C22semidirect
185. #16839759C22semidirect
186. #16839758C22semidirect
188. C2×#135×C61C22semidirect
190. C61×#548C22semidirect
194. C61×#465C22semidirect
196. C61×#463C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
201. C4×SD16×C61C22semidirect
202. C8×D4×C61C22semidirect
895. #3282D61semidirect
929. C2×#135C2×D61semidirect
949. #548C2×D61semidirect
1015. #465C2×D61semidirect
1031. #463C2×D61semidirect
1049. #452C2×D61semidirect
1050. #451C2×D61semidirect
1077. C4×SD16C2×D61semidirect
1083. C8×D4C2×D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214601862
#214599292
#214588912
#214588562
#214586582
#214585462
#214579752
#214579532
#214579492
#214578012
#214577702
#214576492
#214575732
#214574052
#214573772
#214573522
#214573142
#214572772
#214572332
#214571402
#214569062
#214568652
#214568602
#214561022
#214560492
#214559632
#214553612
#214553372
#214552702
#214549522
C61×#32822
#6202661