Finite Group Databasebeta

← #30564793

Subgroups — #30564793

Order 15616.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459848C211yesmaximal, characteristic, complemented
2#21459303C211yesmaximal, characteristic, complemented
3#21457764C211yesmaximal, characteristic, complemented
4#21457740C211yesmaximal, characteristic, complemented
5#21457728C211yesmaximal, characteristic, complemented
6#21457723C211yesmaximal, characteristic, complemented
7#21457690C211yesmaximal, characteristic, complemented
8#21457674C211yesmaximal, characteristic, complemented
9#21457669C211yesmaximal, characteristic, complemented
10#21457636C211yesmaximal, characteristic, complemented
11#21457572C211yesmaximal, characteristic, complemented
12#21457543C211yesmaximal, characteristic, complemented
13#21457525C211yesmaximal, characteristic, complemented
14#21457522C211yesmaximal, characteristic, complemented
15#21457513C211yesmaximal, characteristic, complemented
16#21457499C211yesmaximal, characteristic, complemented
17D8×C22⋊D61C211yesmaximal, characteristic, complemented
18#21456790C211yesmaximal, characteristic, complemented
19#21456751C211yesmaximal, characteristic, complemented
20#21456613C211yesmaximal, characteristic, complemented
21#21456609C211yesmaximal, characteristic, complemented
22#21456587C211yesmaximal, characteristic, complemented
23#21456579C211yesmaximal, characteristic, complemented
24#21455875C211yesmaximal, characteristic, complemented
25#21455834C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21455033C211yesmaximal, characteristic, complemented
28C2×#16839904C211yesmaximal, characteristic, complemented
29#449×D61C211yesmaximal, characteristic, complemented
30#21454840C211yesmaximal, characteristic, complemented
31C61×#3280C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic, complemented
33C2×#41×D61C2211yescharacteristic, complemented
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic, complemented
38C2×SD16×D61C2211yescharacteristic, complemented
39C2×D8×D61C2211yescharacteristic, complemented
40#16840476C2211yescharacteristic, complemented
41#16840470C2211yescharacteristic
42#16840462C2211yescharacteristic, complemented
43#16840458C2211yescharacteristic, complemented
44#16840457—21no—
45#16840431C2211yescharacteristic, complemented
46#16840430C2211yescharacteristic, complemented
47#16840425C2211yescharacteristic
48#16840421C2211yescharacteristic, complemented
49#16840420C2211yescharacteristic, complemented
50#16840411C2211yescharacteristic, complemented
51#16840410—21no—
52#16840409—21no—
53#16840407C2211yescharacteristic, complemented
54#16840405C2211yescharacteristic, complemented
55#16840402—21no—
56#16840402—21no—
57#16840401—21no—
58D4×C22⋊D61C2211yescharacteristic
59D4×C22⋊D61C2211yescharacteristic
60#16840394—21no—
61#16840394—21no—
62#16840362—21no—
63#16840348—21no—
64#16840347—21no—
65#16840311C2211yescharacteristic, complemented
66#16840309C2211yescharacteristic, complemented
67#16840307—21no—
68#16840291C2211yescharacteristic, complemented
69#16840275C2211yescharacteristic, complemented
70#16840275C2211yescharacteristic, complemented
71#16840272C2211yescharacteristic, complemented
72#16840270—21no—
73#16840269C2211yescharacteristic, complemented
74#16840268—21no—
75C2×#14519748C2211yescharacteristic, complemented
76#121×D61C2211yescharacteristic, complemented
77#16840235—21no—
78C4×#11758224C2211yescharacteristic, complemented
79C2×#14519737—21no—
80C4×D4×D61C2211yescharacteristic
81#16840144C2211yescharacteristic, complemented
82#16840137C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840117C2211yescharacteristic, complemented
85#16840116C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840107C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840099C2211yescharacteristic, complemented
92#16840095C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840062C2211yescharacteristic, complemented
102#16840056C2211yescharacteristic, complemented
103#16840050C2211yescharacteristic, complemented
104#16840002C2211yescharacteristic, complemented
105#16839998C2211yescharacteristic, complemented
106#16839997C2211yescharacteristic, complemented
107#16839997C2211yescharacteristic, complemented
108#16839996C2211yescharacteristic, complemented
109#16839995C2211yescharacteristic, complemented
110#16839993C2211yescharacteristic, complemented
111#16839993C2211yescharacteristic, complemented
112#16839991C2211yescharacteristic, complemented
113#16839990C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839988C2211yescharacteristic, complemented
116#16839988C2211yescharacteristic, complemented
117#16839988C2211yescharacteristic, complemented
118#16839981C2211yescharacteristic, complemented
119#16839978C2211yescharacteristic, complemented
120#16839977C2211yescharacteristic, complemented
121#16839974C2211yescharacteristic, complemented
122#16839970C2211yescharacteristic, complemented
123#16839965C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839960C2211yescharacteristic, complemented
126#16839955C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839924C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839921C2211yescharacteristic, complemented
133#16839917C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839914C2211yescharacteristic, complemented
136#16839911C2211yescharacteristic, complemented
137#16839910C2211yescharacteristic, complemented
138#16839910C2211yescharacteristic, complemented
139#16839909C2211yescharacteristic, complemented
140#16839908C2211yescharacteristic, complemented
141#16839908C2211yescharacteristic, complemented
142#16839907C2211yescharacteristic, complemented
143#16839906C2211yescharacteristic, complemented
144#16839906C2211yescharacteristic, complemented
145#16839905C2211yescharacteristic, complemented
146#16839904C2211yescharacteristic
147#16839904C2211yescharacteristic, complemented
148#16839904C2211yescharacteristic, complemented
149#16839904C2211yescharacteristic, complemented
150#16839904C2211yescharacteristic, complemented
151#16839904C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic, complemented
153#16839904C2211yescharacteristic, complemented
154#16839903C2211yescharacteristic, complemented
155#16839899C2211yescharacteristic, complemented
156#16839896C2211yescharacteristic, complemented
157#16839896C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839854C2211yescharacteristic, complemented
161#16839853C2211yescharacteristic, complemented
162C4×#11758190C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164C4×#11758200C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic, complemented
166C4×#11758199C2211yescharacteristic, complemented
167C8×D244C2211yescharacteristic, complemented
168D4×#92418C2211yescharacteristic, complemented
169#16839827C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic
171C8×C22⋊D61C2211yescharacteristic, complemented
172#16839825C2211yescharacteristic
173#16839825C2211yescharacteristic, complemented
174#16839814C2211yescharacteristic, complemented
175#16839813C2211yescharacteristic, complemented
176#16839759C2211yescharacteristic, complemented
177#16839758C2211yescharacteristic, complemented
178#16839755C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180C2×#14519702C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182C2×#14519698C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184C2×#14519689C2211yescharacteristic, complemented
185C2×#14519689C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C2×#135×C61C2211yescharacteristic, complemented
189C22×D8×C61C2211yescharacteristic, complemented
190C61×#546C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic, complemented
192C61×#495C2211yescharacteristic, complemented
193C61×#467C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—42no—
212C2×#11758224—42no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217#41×D61—42no—
218#41×D61—42no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C22×C22⋊D61—21no—
224C22×C22⋊D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61D411yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C23×Dic61—21no—
231C22×C4×D61—21no—
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234#14519798—42no—
235#14519798—42no—
236#14519797—42no—
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758190C2311yescharacteristic
240C2×#11758190C2311yescharacteristic
241C2×#11758200—42no—
242C2×#11758200C2311yescharacteristic
243C2×#11758200C2311yescharacteristic
244C2×#11758200C2311yescharacteristic
245C2×#11758200C2311yescharacteristic
246C2×#11758201C2311yescharacteristic
247C2×#11758201C2311yescharacteristic
248SD16×D61—42no—
249C2×D488C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758199C2311yescharacteristic
253C2×#11758199C2311yescharacteristic
254D8×D61—42no—
255C22×#92418C2311yescharacteristic
256C22×#92418C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258C2×C8×D61C2311yescharacteristic
259C2×C8×D61C2311yescharacteristic
260C2×C8×D61C2311yescharacteristic
261#14519776—21no—
262#14519776C2311yescharacteristic
263#14519775C2311yescharacteristic
264#14519773—21no—
265#14519773—21no—
266#14519773C2311yescharacteristic
267#14519773C2311yescharacteristic
268#14519772—21no—
269#14519770—21no—
270#14519770—21no—
271#14519769C2311yescharacteristic
272#14519767—21no—
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519761—21no—
282#14519760—21no—
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519758—21no—
290#14519757—21no—
291#14519757C2311yescharacteristic
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519751—21no—
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329#14519748C2311yescharacteristic
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519747—21no—
334#14519747—21no—
335#14519747—21no—
336#14519747—21no—
337#14519746—21no—
338#14519746—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343Q8×Dic61C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345#14519742C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348D4×Dic61—21no—
349D4×Dic61D411yescharacteristic
350D4×Dic61C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352#14519739—21no—
353#14519739—21no—
354#14519739D411yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61C2311yescharacteristic
362C4×C22⋊D61C2311yescharacteristic
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737D411yescharacteristic
377#14519737D411yescharacteristic
378#14519736C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519733—21no—
382#14519733—21no—
383#14519733—21no—
384C2×C4⋊Dic61C2311yescharacteristic
385C2×#11758196—21no—
386C4⋊C4×D61D411yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C2×C22⋊Dic61—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61D411yescharacteristic
393C22⋊C4×D61D411yescharacteristic
394C2×C4×Dic61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442C4×#92418C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C8×Dic61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×#41×C61C2311yescharacteristic
447C22×D4×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449#135×C61—42no—
450C2×Q16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×D8×C61—42no—
456C2×D8×C61C2311yescharacteristic
457C2×D8×C61C2311yescharacteristic
458C2×D8×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic
460C22×C8×C61C2311yescharacteristic
461C22×C8×C61C2311yescharacteristic
462#124×C61C2311yescharacteristic
463#124×C61C2311yescharacteristic
464#123×C61—21no—
465#123×C61—21no—
466C22⋊Q8×C61C2311yescharacteristic
467C22⋊Q8×C61C2311yescharacteristic
468#121×C61—21no—
469#121×C61—21no—
470#121×C61C2311yescharacteristic
471#121×C61C2311yescharacteristic
472#120×C61—21no—
473#120×C61—21no—
474C4×D4×C61C2311yescharacteristic
475C4×D4×C61C2311yescharacteristic
476C4×D4×C61C2311yescharacteristic
477C2×C22⋊C4×C61—21no—
478C2×C22⋊C4×C61—21no—
479#107×C61C2311yescharacteristic
480C4⋊C8×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C24×C61—21no—
491C24×C61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61C2×D411yescharacteristic
495C23×D61C2×D411yescharacteristic
496#41×C61—22no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—41no—
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—22no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—41no—
510C2×D4×C61—41no—
511C2×D4×C61—41no—
512C2×D4×C61C2×D411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C2×D4×C61C2411yescharacteristic
515C2×D4×C61C2411yescharacteristic
516C2×D4×C61C2411yescharacteristic
517C22×C4×C61—21no—
518C22×C4×C61—21no—
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61C2411yescharacteristic
522C22×C4×C61C2411yescharacteristic
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—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—21no—
543C2×C22⋊D61—44no—
544C2×C22⋊D61—44no—
545C2×C22⋊D61—44no—
546C2×C22⋊D61—82no—
547C2×C22⋊D61C2×D411yescharacteristic
548C2×C22⋊D61C2×D411yescharacteristic
549C22×Dic61—21no—
550C22×Dic61—21no—
551C22×Dic61—21no—
552C22×Dic61—21no—
553C22×Dic61—21no—
554C22×Dic61—21no—
555C22×Dic61—21no—
556C22×Dic61—21no—
557C22×Dic61—44no—
558C22×Dic61C2×D411yescharacteristic
559C22×Dic61C2×D411yescharacteristic
560#11758226—41no—
561#11758226—41no—
562#11758226—41no—
563#11758226—41no—
564Q8×D61—22no—
565Q8×D61—41no—
566#11758224—22no—
567#11758224—22no—
568#11758224—22no—
569#11758224—22no—
570#11758224—41no—
571#11758224—41no—
572#11758224—41no—
573#11758224—41no—
574#11758224—44no—
575#11758224—44no—
576#11758224—44no—
577D4×D61—24no—
578D4×D61—22no—
579D4×D61—41no—
580D4×D61—41no—
581D4×D61—41no—
582D4×D61—44no—
583D4×D61—82no—
584#11758222—22no—
585#11758222—41no—
586#11758222—44no—
587#11758222—82no—
588C2×D244—21no—
589C2×D244—21no—
590C2×D244—21no—
591C2×D244—21no—
592C2×D244C2×D411yescharacteristic
593C2×D244C2411yescharacteristic
594C2×D244C2411yescharacteristic
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61—41no—
602C2×C4×D61—41no—
603C2×C4×D61—41no—
604C2×C4×D61—41no—
605C2×C4×D61—44no—
606C2×C4×D61C2×D411yescharacteristic
607C2×C4×D61C2×D411yescharacteristic
608C2×C4×D61C2×D411yescharacteristic
609C2×C4×D61C2×D411yescharacteristic
610C2×C4×D61C2×D411yescharacteristic
611C2×C4×D61C2×D411yescharacteristic
612C2×C4×D61C2411yescharacteristic
613C2×C4×D61C2411yescharacteristic
614C2×C4×D61C2411yescharacteristic
615C2×Dic122—22no—
616C2×Dic122—21no—
617C2×Dic122—21no—
618C2×Dic122—21no—
619C2×Dic122—41no—
620C2×Dic122C2411yescharacteristic
621C2×Dic122C2411yescharacteristic
622Q16×C61—41no—
623SD16×C61—22no—
624SD16×C61—41no—
625SD16×C61—41no—
626SD16×C61—41no—
627D8×C61—22no—
628D8×C61—22no—
629D8×C61—41no—
630D8×C61—41no—
631C2×C8×C61—41no—
632C2×C8×C61—41no—
633C2×C8×C61C2411yescharacteristic
634C2×C8×C61C2411yescharacteristic
635C2×C8×C61C2411yescharacteristic
636C2×C8×C61C2411yescharacteristic
637C4⋊C4×C61—21no—
638C4⋊C4×C61—21no—
639C4⋊C4×C61C2×D411yescharacteristic
640C4⋊C4×C61C2411yescharacteristic
641C4⋊C4×C61C2411yescharacteristic
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61—21no—
650C22⋊C4×C61—21no—
651C22⋊C4×C61—21no—
652C22⋊C4×C61C2×D411yescharacteristic
653C22⋊C4×C61C2×D411yescharacteristic
654C42×C61C2411yescharacteristic
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61—21no—
659C22⋊Dic61—21no—
660C22⋊Dic61—21no—
661C22⋊Dic61—21no—
662C22⋊Dic61—21no—
663C22⋊Dic61—21no—
664C22⋊Dic61—21no—
665C22⋊Dic61C2×D411yescharacteristic
666C22⋊Dic61C2×D411yescharacteristic
667#11758202—22no—
668#11758202—41no—
669#11758201—41no—
670#11758201—41no—
671#11758200—22no—
672#11758200—22no—
673#11758200—41no—
674#11758200—41no—
675#11758199—22no—
676#11758199—41no—
677#11758199—41no—
678#11758199—41no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198C2×D411yescharacteristic
694#11758198C2×D411yescharacteristic
695#11758198C2×D411yescharacteristic
696#11758198C2×D411yescharacteristic
697C4⋊Dic61—21no—
698C4⋊Dic61—21no—
699C4⋊Dic61—21no—
700C4⋊Dic61C2×D411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702C4⋊Dic61C2411yescharacteristic
703C4⋊Dic61C2411yescharacteristic
704C4⋊Dic61C2411yescharacteristic
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196—21no—
716#11758196—21no—
717#11758196C2×D411yescharacteristic
718#11758196C2×D411yescharacteristic
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C4×Dic61—21no—
723C4×Dic61—21no—
724C4×Dic61—21no—
725C4×Dic61C2×D411yescharacteristic
726C4×Dic61C2×D411yescharacteristic
727C4×Dic61C2411yescharacteristic
728C2×#92418—41no—
729C2×#92418—41no—
730C2×#92418C2411yescharacteristic
731C2×#92418C2411yescharacteristic
732C2×#92418C2411yescharacteristic
733C2×#92418C2411yescharacteristic
734D488—41no—
735#11758190—22no—
736#11758190—41no—
737C8×D61—41no—
738C8×D61—41no—
739C8×D61—41no—
740C8×D61—41no—
741C23×C61—21no—
742C23×C61—21no—
743C23×C61—21no—
744C23×C61—21no—
745C23×C61—42no—
746C23×C61—42no—
747C23×C61—42no—
748C23×C61—81no—
749C23×C61—81no—
750C23×C61—81no—
751C23×C61C22×D411yescharacteristic
752C23×C61C22×D411yescharacteristic
753C22×D61—22no—
754C22×D61—22no—
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—41no—
758C22×D61—41no—
759C22×D61—41no—
760C22×D61—41no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—81no—
765C22×D61—81no—
766C22×D61—81no—
767C22×D61C22×D411yescharacteristic
768C22×D61C22×D411yescharacteristic
769C22×D61C22×D411yescharacteristic
770Q8×C61—21no—
771Q8×C61—21no—
772Q8×C61—21no—
773Q8×C61—21no—
774D4×C61—22no—
775D4×C61—21no—
776D4×C61—21no—
777D4×C61—21no—
778D4×C61—21no—
779D4×C61—21no—
780D4×C61—21no—
781D4×C61—21no—
782D4×C61—42no—
783D4×C61—42no—
784D4×C61—81no—
785D4×C61—81no—
786D4×C61—81no—
787D4×C61—81no—
788D4×C61H(5,𝔽2)12yes—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—21no—
795C2×C4×C61—21no—
796C2×C4×C61—21no—
797C2×C4×C61—42no—
798C2×C4×C61—81no—
799C2×C4×C61—81no—
800C2×C4×C61—81no—
801C2×C4×C61C22×D411yescharacteristic
802C2×C4×C61C22×D411yescharacteristic
803C2×C4×C61C22×D411yescharacteristic
804C2×C4×C61C22×D411yescharacteristic
805C2×C4×C61C2511yescharacteristic
806C22⋊D61—24no—
807C22⋊D61—22no—
808C22⋊D61—42no—
809C22⋊D61—42no—
810C22⋊D61—42no—
811C22⋊D61—42no—
812C22⋊D61—42no—
813C22⋊D61—42no—
814C22⋊D61—42no—
815C22⋊D61—42no—
816C22⋊D61—42no—
817C22⋊D61—42no—
818C22⋊D61—42no—
819C22⋊D61—42no—
820C22⋊D61—42no—
821C22⋊D61—81no—
822C22⋊D61—81no—
823C22⋊D61—81no—
824C22⋊D61—81no—
825C22⋊D61—81no—
826C22⋊D61—81no—
827C22⋊D61#13514yescomplemented
828C2×Dic61—24no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—41no—
836C2×Dic61—41no—
837C2×Dic61—42no—
838C2×Dic61—42no—
839C2×Dic61—42no—
840C2×Dic61—42no—
841C2×Dic61—42no—
842C2×Dic61—42no—
843C2×Dic61—81no—
844C2×Dic61C22×D411yescharacteristic
845C2×Dic61C22×D411yescharacteristic
846C2×Dic61C22×D411yescharacteristic
847C2×Dic61C22×D411yescharacteristic
848C2×Dic61C22×D411yescharacteristic
849D244—22no—
850D244—21no—
851D244—21no—
852D244—21no—
853D244—21no—
854D244—42no—
855D244—42no—
856D244—81no—
857D244—81no—
858C4×D61—21no—
859C4×D61—21no—
860C4×D61—21no—
861C4×D61—21no—
862C4×D61—21no—
863C4×D61—21no—
864C4×D61—22no—
865C4×D61—41no—
866C4×D61—41no—
867C4×D61—41no—
868C4×D61—41no—
869C4×D61—41no—
870C4×D61—42no—
871C4×D61—42no—
872C4×D61—42no—
873C4×D61—81no—
874C4×D61—81no—
875C4×D61—81no—
876Dic122—21no—
877Dic122—21no—
878Dic122—21no—
879Dic122—42no—
880Dic122—42no—
881Dic122—81no—
882Dic122H(5,𝔽2)12yes—
883C8×C61—21no—
884C8×C61—21no—
885C8×C61—21no—
886C8×C61—21no—
887#92418—21no—
888#92418—21no—
889#92418—21no—
890#92418—21no—
891#61567—611nomaximal, Sylow
892C22×C61—21no—
893C22×C61—21no—
894C22×C61—21no—
895C22×C61—22no—
896C22×C61—21no—
897C22×C61—21no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—41no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—41no—
908C22×C61—41no—
909C22×C61—84no—
910C22×C61—162no—
911C22×C61C2×#13512yes—
912C22×C61C23×D411yescharacteristic
913C2×D61—21no—
914C2×D61—21no—
915C2×D61—21no—
916C2×D61—21no—
917C2×D61—21no—
918C2×D61—21no—
919C2×D61—21no—
920C2×D61—21no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—82no—
928C2×D61—84no—
929C2×D61—82no—
930C2×D61—162no—
931C2×D61C2×#13512yes—
932C4×C61—21no—
933C4×C61—21no—
934C4×C61—21no—
935C4×C61—21no—
936C4×C61—41no—
937C4×C61—41no—
938C4×C61—41no—
939C4×C61—41no—
940C4×C61C2×H(5,𝔽2)11yescharacteristic
941C4×C61C2×H(5,𝔽2)11yescharacteristic
942Dic61—21no—
943Dic61—22no—
944Dic61—21no—
945Dic61—21no—
946Dic61—21no—
947Dic61—41no—
948Dic61—41no—
949Dic61—41no—
950Dic61—41no—
951Dic61—41no—
952Dic61C2×#13512yes—
953#3519—611no—
954D4×#41—611no—
955#3305—611no—
956#3303—611no—
957#3301—611no—
958#3301—611no—
959#3299—611no—
960#3297—611no—
961#3297—611no—
962#3295—611no—
963#3287—611no—
964#3284—611no—
965#3282—611no—
966#3282—611no—
967D4×SD16—611no—
968#3280—611no—
969#3280D6111yescharacteristic, complemented
970D4×D8—611no—
971#3212—611no—
972#3207—611no—
973#3191—611no—
974#3191—611no—
975#3188—611no—
976#3188—611no—
977#3106—611no—
978#3102—611no—
979#3002—611no—
980#3002—611no—
981C2×#449—611no—
982C2×#449—611no—
983#2972—611no—
984C2×C61—22no—
985C2×C61—41no—
986C2×C61—42no—
987C2×C61—81no—
988C2×C61—81no—
989C2×C61—81no—
990C2×C61#348411yescharacteristic
991C2×C61C22×#13511yescharacteristic
992C2×C61#358511yescharacteristic
993D61—22no—
994D61—41no—
995D61—41no—
996D61—81no—
997D61—81no—
998C22×#41—611no—
999C22×#41—611no—
1000C2×#135—611no—
1001C2×#135—611no—
1002C2×#135—611no—
1003C2×#135C2×D6111yescharacteristic, complemented
1004C22×SD16—611no—
1005C22×SD16—611no—
1006C22×D8—611no—
1007C22×D8C2×D6111yescharacteristic, complemented
1008#555—611no—
1009#554—611no—
1010#553—611no—
1011#553—611no—
1012#553—1221no—
1013#550—611no—
1014#550—611no—
1015D4×Q8—611no—
1016#548—611no—
1017#548—611no—
1018#547—611no—
1019#547—1221no—
1020#546—611no—
1021#546—611no—
1022#546—1221no—
1023#546—1221no—
1024#546—1221no—
1025#546—1221no—
1026#546C2×D6111yescharacteristic, complemented
1027#546C2×D6111yescharacteristic, complemented
1028D42—611no—
1029D42—611no—
1030D42—1221no—
1031D42—1221no—
1032#540—1221no—
1033#538—1221no—
1034#538—1221no—
1035#532—611no—
1036#532—611no—
1037#532—1221no—
1038#529—611no—
1039#525—611no—
1040#525—611no—
1041#525—611no—
1042#525—611no—
1043#525—1221no—
1044#525—1221no—
1045C2×#121—611no—
1046C2×#121—611no—
1047#518—1221no—
1048C4×#41—611no—
1049C2×C4×D4—611no—
1050C2×C4×D4—1221no—
1051#495—611no—
1052#495C2×D6111yescharacteristic, complemented
1053#493—611no—
1054#492—611no—
1055#488—611no—
1056#488—611no—
1057#487—611no—
1058#486—611no—
1059#485—611no—
1060#485—611no—
1061#485—611no—
1062#484—611no—
1063#484—611no—
1064#482—611no—
1065#482—611no—
1066#482—611no—
1067#482—611no—
1068#482—611no—
1069#481—611no—
1070#481—611no—
1071#479—611no—
1072#478—611no—
1073#477—611no—
1074#476—611no—
1075#467—611no—
1076#467C2×D6111yescharacteristic, complemented
1077#466—611no—
1078#466—611no—
1079#466—611no—
1080#466—611no—
1081#466—611no—
1082#466C2×D6111yescharacteristic, complemented
1083#465—611no—
1084#465—611no—
1085#465—611no—
1086#465—611no—
1087#465—611no—
1088#465—611no—
1089#465—611no—
1090#465—611no—
1091#464—611no—
1092#463—611no—
1093#463—611no—
1094#463—611no—
1095#463C2×D6111yescharacteristic, complemented
1096#463C2×D6111yescharacteristic, complemented
1097#462—611no—
1098#461—611no—
1099#460—611no—
1100#460—611no—
1101#459—611no—
1102#459—611no—
1103#452—611no—
1104#452—611no—
1105#452—611no—
1106#452—611no—
1107#452—611no—
1108#451—611no—
1109#451—611no—
1110#450—611no—
1111#450—611no—
1112#450C2×D6111yescharacteristic, complemented
1113#450C2×D6111yescharacteristic, complemented
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449—611no—
1118#449—611no—
1119#449—611no—
1120#449—611no—
1121#449—611no—
1122#449—611no—
1123#449—611no—
1124#449—611no—
1125#449—611no—
1126#449—611no—
1127#449—611no—
1128#449—611no—
1129#449—611no—
1130#449—611no—
1131#449C2×D6111yescharacteristic, complemented
1132#449C2×D6111yescharacteristic, complemented
1133#448—611no—
1134#448—611no—
1135#447—611no—
1136#447—611no—
1137#447—611no—
1138#447—611no—
1139C4×Q16—611no—
1140C4×SD16—611no—
1141C4×SD16—611no—
1142C4×SD16—611no—
1143C4×SD16—611no—
1144C4×D8—611no—
1145C4×D8—611no—
1146C4×D8C2×D6111yescharacteristic, complemented
1147C8×D4—611no—
1148C8×D4—611no—
1149C8×D4—611no—
1150C8×D4—611no—
1151C8×D4—611no—
1152C8×D4—611no—
1153C8×D4—611no—
1154C8×D4C2×D6111yescharacteristic, complemented
1155#431—611no—
1156#431—611no—
1157#416—611no—
1158#416—611no—
1159#416—611no—
1160#416—611no—
1161C2×#103—611no—
1162C2×#103—611no—
1163C2×#102—611no—
1164C2×#102—611no—
1165C2×C22⋊C8—611no—
1166C2×C22⋊C8—611no—
1167C2×C22⋊C8—611no—
1168C2×C22⋊C8—611no—
1169C61#6156711yescharacteristic, complemented, Sylow
1170C2×#41—611no—
1171C2×#41—611no—
1172C2×#41—611no—
1173C2×#41—611no—
1174C2×#41—611no—
1175C2×#41—611no—
1176C2×#41—611no—
1177C2×#41—1221no—
1178C2×#41—1221no—
1179C2×#41—1221no—
1180C2×#41—1221no—
1181C2×#41—1221no—
1182C2×#41—2442no—
1183C2×#41—2442no—
1184C2×#41—2442no—
1185C2×#41—2442no—
1186C2×#41C22×D6111yescharacteristic
1187C2×#41C22×D6111yescharacteristic
1188C22×Q8—611no—
1189C22×Q8—611no—
1190C22×D4—611no—
1191C22×D4—611no—
1192C22×D4—611no—
1193C22×D4—1221no—
1194C22×D4—1221no—
1195C22×D4—1221no—
1196C22×D4—1221no—
1197C22×D4—1221no—
1198C22×D4—1221no—
1199C22×D4C22×D6111yescharacteristic
1200C22×D4C22×D6111yescharacteristic
1201C23×C4—611no—
1202C23×C4—611no—
1203C23×C4—1221no—
1204C23×C4—1221no—
1205#135—42no—
1206#135—2442no—
1207#135—2442no—
1208#135—2442no—
1209C2×Q16—611no—
1210C2×Q16—611no—
1211C2×Q16C22×D6111yescharacteristic
1212C2×SD16—611no—
1213C2×SD16—611no—
1214C2×SD16—611no—
1215C2×SD16—611no—
1216C2×SD16—611no—
1217C2×SD16—611no—
1218C2×SD16—611no—
1219C2×SD16—611no—
1220C2×SD16—2442no—
1221C2×SD16—2442no—
1222C2×SD16C22×D6111yescharacteristic
1223C2×SD16C22×D6111yescharacteristic
1224C2×SD16C22×D6111yescharacteristic
1225C2×SD16C22×D6111yescharacteristic
1226C2×D8—42no—
1227C2×D8—611no—
1228C2×D8—611no—
1229C2×D8—611no—
1230C2×D8—611no—
1231C2×D8—611no—
1232C2×D8—2442no—
1233C2×D8C22×D6111yescharacteristic
1234C2×D8C22×D6111yescharacteristic
1235C2×D8C22×D6111yescharacteristic
1236C2×D8C22×D6111yescharacteristic
1237C22×C8—611no—
1238C22×C8—611no—
1239C22×C8—611no—
1240C22×C8—611no—
1241C22×C8—611no—
1242C22×C8—611no—
1243C22×C8C22×D6111yescharacteristic
1244C22×C8C22×D6111yescharacteristic
1245C4⋊Q8—611no—
1246C4⋊Q8—611no—
1247C4⋊Q8—1221no—
1248#127—611no—
1249#127—611no—
1250#127—1221no—
1251#127—1221no—
1252#126—1221no—
1253#126—1221no—
1254#126—1221no—
1255#125—611no—
1256#125—1221no—
1257#124—611no—
1258#124—1221no—
1259#124—1221no—
1260#124—1221no—
1261#124—1221no—
1262#124—1221no—
1263#124C22×D6111yescharacteristic
1264#124C22×D6111yescharacteristic
1265#123—21no—
1266#123—21no—
1267#123—1221no—
1268#123—1221no—
1269#123—1221no—
1270#123—1221no—
1271#123—1221no—
1272#123—1221no—
1273#123—1221no—
1274#123—1221no—
1275#123—1221no—
1276#123—1221no—
1277#123—1221no—
1278C22⋊Q8—611no—
1279C22⋊Q8—611no—
1280C22⋊Q8—611no—
1281C22⋊Q8—611no—
1282C22⋊Q8—611no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8C22×D6111yescharacteristic
1290C22⋊Q8C22×D6111yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—611no—
1294#121—611no—
1295#121—611no—
1296#121—611no—
1297#121—611no—
1298#121—611no—
1299#121—611no—
1300#121—611no—
1301#121—611no—
1302#121—611no—
1303#121—611no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121C22×D6111yescharacteristic
1326#121C22×D6111yescharacteristic
1327#120—21no—
1328#120—21no—
1329#120—1221no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337#120—1221no—
1338#120—1221no—
1339C4×Q8—611no—
1340C4×Q8—611no—
1341C4×Q8—611no—
1342C4×D4—611no—
1343C4×D4—611no—
1344C4×D4—611no—
1345C4×D4—611no—
1346C4×D4—611no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—611no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366C4×D4—1221no—
1367C4×D4—1221no—
1368C4×D4—1221no—
1369C4×D4—1221no—
1370C4×D4—1221no—
1371C4×D4—1221no—
1372C4×D4—1221no—
1373C4×D4—1221no—
1374C4×D4C22×D6111yescharacteristic
1375C4×D4C22×D6111yescharacteristic
1376C4×D4C22×D6111yescharacteristic
1377#117—611no—
1378#117—611no—
1379#117—611no—
1380#117—1221no—
1381#117—1221no—
1382#117—1221no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—1221no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—1221no—
1392C2×C22⋊C4—1221no—
1393C2×C22⋊C4—1221no—
1394C2×C22⋊C4—1221no—
1395C2×C42—611no—
1396C2×C42—1221no—
1397#107—611no—
1398#107—611no—
1399#107—611no—
1400#107C22×D6111yescharacteristic
1401#106—611no—
1402#106—611no—
1403#106—611no—
1404#106—611no—
1405C4⋊C8—611no—
1406C4⋊C8—611no—
1407C4⋊C8—611no—
1408C4⋊C8C22×D6111yescharacteristic
1409#103—611no—
1410#103—611no—
1411#103—611no—
1412#103—611no—
1413#103—611no—
1414#103—611no—
1415#103—611no—
1416#103—611no—
1417#103—611no—
1418#103—611no—
1419#103—611no—
1420#103—611no—
1421#103C22×D6111yescharacteristic
1422#103C22×D6111yescharacteristic
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102—611no—
1429#102—611no—
1430#102—611no—
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102—611no—
1436#102—611no—
1437#102C22×D6111yescharacteristic
1438#102C22×D6111yescharacteristic
1439#102C22×D6111yescharacteristic
1440#102C22×D6111yescharacteristic
1441C22⋊C8—611no—
1442C22⋊C8—611no—
1443C22⋊C8—611no—
1444C22⋊C8—611no—
1445C22⋊C8—611no—
1446C22⋊C8—611no—
1447C22⋊C8—611no—
1448C22⋊C8—611no—
1449C22⋊C8—611no—
1450C22⋊C8—611no—
1451C22⋊C8C22×D6111yescharacteristic
1452C22⋊C8C22×D6111yescharacteristic
1453C4×C8—611no—
1454C4×C8—611no—
1455C4×C8—611no—
1456C4×C8C22×D6111yescharacteristic
1457C24—21no—
1458C24—21no—
1459C24—611no—
1460C24—611no—
1461C24—1221no—
1462C24—1221no—
1463#41—22no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—1222no—
1468#41—1222no—
1469#41—1222no—
1470#41—1222no—
1471#41—1222no—
1472#41—4882no—
1473#41—2441no—
1474#41—2444no—
1475#41—2441no—
1476#41—2441no—
1477#41—2441no—
1478#41—2441no—
1479#41—2441no—
1480#41—2441no—
1481#41—2444no—
1482#41—2444no—
1483#41—2441no—
1484#41—2441no—
1485#41—2444no—
1486C2×Q8—611no—
1487C2×Q8—611no—
1488C2×Q8—1221no—
1489C2×Q8—1221no—
1490C2×Q8—1222no—
1491C2×Q8—1221no—
1492C2×Q8—1222no—
1493C2×Q8—2441no—
1494C2×Q8—2441no—
1495C2×Q8C23×D6111yescharacteristic
1496C2×Q8C23×D6111yescharacteristic
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—611no—
1510C2×D4—611no—
1511C2×D4—611no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1224no—
1523C2×D4—1221no—
1524C2×D4—1222no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—1221no—
1536C2×D4—1221no—
1537C2×D4—1221no—
1538C2×D4—4882no—
1539C2×D4—4882no—
1540C2×D4—2441no—
1541C2×D4—2441no—
1542C2×D4—2441no—
1543C2×D4—2444no—
1544C2×D4—2444no—
1545C2×D4—2444no—
1546C2×D4—2444no—
1547C2×D4D4×D6111yescharacteristic
1548C2×D4C23×D6111yescharacteristic
1549C2×D4C23×D6111yescharacteristic
1550C2×D4C23×D6111yescharacteristic
1551C2×D4C23×D6111yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—611no—
1557C22×C4—611no—
1558C22×C4—611no—
1559C22×C4—611no—
1560C22×C4—611no—
1561C22×C4—611no—
1562C22×C4—611no—
1563C22×C4—611no—
1564C22×C4—611no—
1565C22×C4—611no—
1566C22×C4—611no—
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—2441no—
1582C22×C4—2441no—
1583C22×C4—2441no—
1584C22×C4—2441no—
1585C22×C4—2444no—
1586C22×C4—2444no—
1587C22×C4C23×D6111yescharacteristic
1588C22×C4C23×D6111yescharacteristic
1589Q16—41no—
1590Q16—1222no—
1591Q16—2441no—
1592SD16—22no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—1222no—
1597SD16—1222no—
1598SD16—1222no—
1599SD16—2441no—
1600SD16—2441no—
1601SD16—2441no—
1602SD16—2441no—
1603SD16—2441no—
1604D8—22no—
1605D8—22no—
1606D8—41no—
1607D8—41no—
1608D8—1222no—
1609D8—2441no—
1610D8—2441no—
1611D8—2441no—
1612D8—2441no—
1613C2×C8—41no—
1614C2×C8—41no—
1615C2×C8—611no—
1616C2×C8—611no—
1617C2×C8—611no—
1618C2×C8—611no—
1619C2×C8—2441no—
1620C2×C8—2441no—
1621C2×C8—2441no—
1622C2×C8—2441no—
1623C2×C8—2441no—
1624C2×C8—2441no—
1625C2×C8C23×D6111yescharacteristic
1626C2×C8C23×D6111yescharacteristic
1627C2×C8C23×D6111yescharacteristic
1628C2×C8C23×D6111yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—611no—
1632C4⋊C4—611no—
1633C4⋊C4—611no—
1634C4⋊C4—611no—
1635C4⋊C4—611no—
1636C4⋊C4—611no—
1637C4⋊C4—611no—
1638C4⋊C4—1221no—
1639C4⋊C4—1221no—
1640C4⋊C4—1221no—
1641C4⋊C4—1221no—
1642C4⋊C4—1221no—
1643C4⋊C4—1221no—
1644C4⋊C4—1221no—
1645C4⋊C4—1221no—
1646C4⋊C4—1221no—
1647C4⋊C4—1221no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4—1221no—
1651C4⋊C4—1221no—
1652C4⋊C4—1221no—
1653C4⋊C4D4×D6111yescharacteristic
1654C4⋊C4C23×D6111yescharacteristic
1655C4⋊C4C23×D6111yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—611no—
1667C22⋊C4—611no—
1668C22⋊C4—611no—
1669C22⋊C4—611no—
1670C22⋊C4—611no—
1671C22⋊C4—611no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C22⋊C4—1221no—
1676C22⋊C4—1221no—
1677C22⋊C4—1221no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊C4—1221no—
1684C22⋊C4—1221no—
1685C22⋊C4—1221no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C22⋊C4—1221no—
1689C22⋊C4—1221no—
1690C22⋊C4—1221no—
1691C22⋊C4—1221no—
1692C22⋊C4—1221no—
1693C22⋊C4—1221no—
1694C22⋊C4—1221no—
1695C22⋊C4—1221no—
1696C22⋊C4D4×D6111yescharacteristic
1697C22⋊C4D4×D6111yescharacteristic
1698C42—611no—
1699C42—611no—
1700C42—611no—
1701C42—1221no—
1702C42—1221no—
1703C42—1221no—
1704C42—1221no—
1705C42—1221no—
1706C42—1221no—
1707C42C23×D6111yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—42no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—611no—
1719C23—611no—
1720C23—611no—
1721C23—1222no—
1722C23—1222no—
1723C23—1221no—
1724C23—1221no—
1725C23—4881no—
1726C23—4881no—
1727C23—4881no—
1728C23—2441no—
1729C23—2441no—
1730C23—2441no—
1731C23—2441no—
1732C23—2442no—
1733C23—2442no—
1734C23—2442no—
1735C23C2×D4×D6111yescharacteristic
1736C23C2×D4×D6111yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—612no—
1742Q8—1221no—
1743Q8—1221no—
1744Q8—1221no—
1745Q8—4881no—
1746Q8—2442no—
1747Q8—2442no—
1748D4—22no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—42no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—614no—
1763D4—1222no—
1764D4—1222no—
1765D4—1224no—
1766D4—1221no—
1767D4—1221no—
1768D4—1221no—
1769D4—1221no—
1770D4—4881no—
1771D4—4881no—
1772D4—4881no—
1773D4—4881no—
1774D4—4881no—
1775D4—4881no—
1776D4—4881no—
1777D4—4881no—
1778D4—2442no—
1779D4—2442no—
1780D4—2442no—
1781D4—2442no—
1782D4—2442no—
1783D4—2442no—
1784D4—2442no—
1785D4—2442no—
1786D4—2442no—
1787D4—2442no—
1788D4—2442no—
1789D4—2442no—
1790D4—2442no—
1791D4—2442no—
1792D4—2442no—
1793D4#1451982212yes—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—42no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—611no—
1807C2×C4—611no—
1808C2×C4—611no—
1809C2×C4—611no—
1810C2×C4—611no—
1811C2×C4—1222no—
1812C2×C4—1224no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—4881no—
1826C2×C4—4881no—
1827C2×C4—4881no—
1828C2×C4—4881no—
1829C2×C4—2441no—
1830C2×C4—2441no—
1831C2×C4—2441no—
1832C2×C4—2441no—
1833C2×C4—2441no—
1834C2×C4—2442no—
1835C2×C4—2442no—
1836C2×C4—2442no—
1837C2×C4—2442no—
1838C2×C4—2442no—
1839C2×C4—2441no—
1840C2×C4—2441no—
1841C2×C4—2442no—
1842C2×C4—2442no—
1843C2×C4—2442no—
1844C2×C4—2442no—
1845C2×C4C2×D4×D6111yescharacteristic
1846C2×C4C2×D4×D6111yescharacteristic
1847C2×C4C2×D4×D6111yescharacteristic
1848C2×C4C2×D4×D6111yescharacteristic
1849C2×C4C24×D6111yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1221no—
1855C8—1221no—
1856C8—1221no—
1857C8—1221no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—162no—
1877C22—612no—
1878C22—1221no—
1879C22—1221no—
1880C22—1221no—
1881C22—1221no—
1882C22—1221no—
1883C22—1221no—
1884C22—1221no—
1885C22—1221no—
1886C22—9762no—
1887C22—4882no—
1888C22—4884no—
1889C22—4882no—
1890C22—2441no—
1891C22—2441no—
1892C22—2441no—
1893C22—2441no—
1894C22—2441no—
1895C22—2441no—
1896C22#135×D6112yes—
1897C22C22×D4×D6111yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—612no—
1907C4—1221no—
1908C4—1221no—
1909C4—1221no—
1910C4—1221no—
1911C4—1222no—
1912C4—2441no—
1913C4—2441no—
1914C4—2441no—
1915C4—2441no—
1916C4—2441no—
1917C4H(5,𝔽2)×D6111yescharacteristic
1918C4C2×#1451982211yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—42no—
1922C2—81no—
1923C2—81no—
1924C2—81no—
1925C2—1222no—
1926C2—4881no—
1927C2—4881no—
1928C2—2441no—
1929C2—2441no—
1930C2#2145944711yescharacteristic
1931C2C2×#135×D6111yescharacteristic
1932C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3280C2
socleC22×C61C23×D4
hypercenter#3280D61
hypocenterC61#61567
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #21459848C2semidirect
2. #21459303C2semidirect
3. #21457764C2semidirect
4. #21457740C2semidirect
5. #21457728C2semidirect
6. #21457723C2semidirect
7. #21457690C2semidirect
8. #21457674C2semidirect
9. #21457669C2semidirect
10. #21457636C2semidirect
11. #21457572C2semidirect
12. #21457543C2semidirect
13. #21457525C2semidirect
14. #21457522C2semidirect
15. #21457513C2semidirect
16. #21457499C2semidirect
17. D8×C22⋊D61C2semidirect
18. #21456790C2semidirect
19. #21456751C2semidirect
20. #21456613C2semidirect
21. #21456609C2semidirect
22. #21456587C2semidirect
23. #21456579C2semidirect
24. #21455875C2semidirect
25. #21455834C2semidirect
26. #21455038C2semidirect
27. #21455033C2semidirect
28. C2×#16839904C2semidirect
29. #449×D61C2semidirect
30. #21454840C2semidirect
31. C61×#3280C2semidirect
32. C22×#11758224C22semidirect
33. C2×#41×D61C22semidirect
34. C2×#14519798C22semidirect
35. C2×#14519798C22semidirect
36. C2×#14519797C22semidirect
37. C22×#11758200C22semidirect
38. C2×SD16×D61C22semidirect
39. C2×D8×D61C22semidirect
40. #16840476C22semidirect
42. #16840462C22semidirect
43. #16840458C22semidirect
45. #16840431C22semidirect
46. #16840430C22semidirect
48. #16840421C22semidirect
49. #16840420C22semidirect
50. #16840411C22semidirect
53. #16840407C22semidirect
54. #16840405C22semidirect
65. #16840311C22semidirect
66. #16840309C22semidirect
68. #16840291C22semidirect
69. #16840275C22semidirect
70. #16840275C22semidirect
71. #16840272C22semidirect
73. #16840269C22semidirect
75. C2×#14519748C22semidirect
76. #121×D61C22semidirect
78. C4×#11758224C22semidirect
81. #16840144C22semidirect
82. #16840137C22semidirect
83. #16840133C22semidirect
84. #16840117C22semidirect
85. #16840116C22semidirect
86. #16840111C22semidirect
87. #16840107C22semidirect
88. #16840104C22semidirect
89. #16840102C22semidirect
90. #16840102C22semidirect
91. #16840099C22semidirect
92. #16840095C22semidirect
93. #16840089C22semidirect
94. #16840089C22semidirect
95. #16840085C22semidirect
96. #16840085C22semidirect
97. #16840083C22semidirect
98. #16840081C22semidirect
99. #16840079C22semidirect
100. #16840070C22semidirect
101. #16840062C22semidirect
102. #16840056C22semidirect
103. #16840050C22semidirect
104. #16840002C22semidirect
105. #16839998C22semidirect
106. #16839997C22semidirect
107. #16839997C22semidirect
108. #16839996C22semidirect
109. #16839995C22semidirect
110. #16839993C22semidirect
111. #16839993C22semidirect
112. #16839991C22semidirect
113. #16839990C22semidirect
114. #16839989C22semidirect
115. #16839988C22semidirect
116. #16839988C22semidirect
117. #16839988C22semidirect
118. #16839981C22semidirect
119. #16839978C22semidirect
120. #16839977C22semidirect
121. #16839974C22semidirect
122. #16839970C22semidirect
123. #16839965C22semidirect
124. #16839961C22semidirect
125. #16839960C22semidirect
126. #16839955C22semidirect
127. #16839955C22semidirect
128. #16839924C22semidirect
129. #16839923C22semidirect
130. #16839923C22semidirect
131. #16839921C22semidirect
132. #16839921C22semidirect
133. #16839917C22semidirect
134. #16839916C22semidirect
135. #16839914C22semidirect
136. #16839911C22semidirect
137. #16839910C22semidirect
138. #16839910C22semidirect
139. #16839909C22semidirect
140. #16839908C22semidirect
141. #16839908C22semidirect
142. #16839907C22semidirect
143. #16839906C22semidirect
144. #16839906C22semidirect
145. #16839905C22semidirect
147. #16839904C22semidirect
148. #16839904C22semidirect
149. #16839904C22semidirect
150. #16839904C22semidirect
151. #16839904C22semidirect
152. #16839904C22semidirect
153. #16839904C22semidirect
154. #16839903C22semidirect
155. #16839899C22semidirect
156. #16839896C22semidirect
157. #16839896C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839854C22semidirect
161. #16839853C22semidirect
162. C4×#11758190C22semidirect
163. SD16×Dic61C22semidirect
164. C4×#11758200C22semidirect
165. D8×Dic61C22semidirect
166. C4×#11758199C22semidirect
167. C8×D244C22semidirect
168. D4×#92418C22semidirect
169. #16839827C22semidirect
171. C8×C22⋊D61C22semidirect
173. #16839825C22semidirect
174. #16839814C22semidirect
175. #16839813C22semidirect
176. #16839759C22semidirect
177. #16839758C22semidirect
178. #16839755C22semidirect
179. #16839755C22semidirect
180. C2×#14519702C22semidirect
181. #103×D61C22semidirect
182. C2×#14519698C22semidirect
183. #102×D61C22semidirect
184. C2×#14519689C22semidirect
185. C2×#14519689C22semidirect
186. C22⋊C8×D61C22semidirect
187. C22⋊C8×D61C22semidirect
188. C2×#135×C61C22semidirect
189. C22×D8×C61C22semidirect
190. C61×#546C22semidirect
191. C61×#546C22semidirect
192. C61×#495C22semidirect
193. C61×#467C22semidirect
194. C61×#466C22semidirect
195. C61×#463C22semidirect
196. C61×#463C22semidirect
197. C61×#450C22semidirect
198. C61×#450C22semidirect
199. C61×#449C22semidirect
200. C61×#449C22semidirect
201. C4×D8×C61C22semidirect
202. C8×D4×C61C22semidirect
827. C22⋊D61#135semidirect
969. #3280D61semidirect
1003. C2×#135C2×D61semidirect
1007. C22×D8C2×D61semidirect
1026. #546C2×D61semidirect
1027. #546C2×D61semidirect
1052. #495C2×D61semidirect
1076. #467C2×D61semidirect
1082. #466C2×D61semidirect
1095. #463C2×D61semidirect
1096. #463C2×D61semidirect
1112. #450C2×D61semidirect
1113. #450C2×D61semidirect
1131. #449C2×D61semidirect
1132. #449C2×D61semidirect
1146. C4×D8C2×D61semidirect
1154. C8×D4C2×D61semidirect
1169. C61#61567semidirect

Maximal subgroups

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

subgroupindex
#214598482
#214593032
#214577642
#214577402
#214577282
#214577232
#214576902
#214576742
#214576692
#214576362
#214575722
#214575432
#214575252
#214575222
#214575132
#214574992
D8×C22⋊D612
#214567902
#214567512
#214566132
#214566092
#214565872
#214565792
#214558752
#214558342
#214550382
#214550332
C2×#168399042
#449×D612
#214548402
C61×#32802
#6156761