Finite Group Databasebeta

← #30557319

Subgroups — #30557319

Order 15616.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459547C211yesmaximal, characteristic, complemented
2#21459482C211yesmaximal, characteristic, complemented
3#21457979C211yesmaximal, characteristic, complemented
4#21457975C211yesmaximal, characteristic, complemented
5#21457957C211yesmaximal, characteristic, complemented
6#21457953C211yesmaximal, characteristic, complemented
7#21457823C211yesmaximal, characteristic, complemented
8#21457819C211yesmaximal, characteristic, complemented
9#21457817C211yesmaximal, characteristic, complemented
10#21457813C211yesmaximal, characteristic, complemented
11#21457770C211yesmaximal, characteristic, complemented
12#21457764C211yesmaximal, characteristic, complemented
13#21457720C211yesmaximal, characteristic, complemented
14#21457716C211yesmaximal, characteristic, complemented
15#21457670C211yesmaximal, characteristic, complemented
16#21457634C211yesmaximal, characteristic, complemented
17#21457628C211yesmaximal, characteristic, complemented
18#21456172C211yesmaximal, characteristic, complemented
19#21455798C211yesmaximal, characteristic, complemented
20#21455758C211yesmaximal, characteristic, complemented
21#21455671C211yesmaximal, characteristic, complemented
22#21455492C211yesmaximal, characteristic, complemented
23#466×D61C211yesmaximal, characteristic, complemented
24#21455320C211yesmaximal, characteristic, complemented
25#21455082C211yesmaximal, characteristic, complemented
26#21455068C211yesmaximal, characteristic, complemented
27#21454644C211yesmaximal, characteristic, complemented
28#21454508C211yesmaximal, characteristic, complemented
29#21454340C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3297C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519804C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic
36C2×D8×D61C2211yescharacteristic, complemented
37C2×#14519783C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840477C2211yescharacteristic, complemented
40#16840476C2211yescharacteristic, complemented
41#16840465C2211yescharacteristic, complemented
42#16840459C2211yescharacteristic, complemented
43#16840456C2211yescharacteristic, complemented
44#16840441—21no—
45#16840437—21no—
46#16840433C2211yescharacteristic, complemented
47#16840430C2211yescharacteristic, complemented
48#16840422C2211yescharacteristic, complemented
49#16840420C2211yescharacteristic, complemented
50#16840417C2211yescharacteristic, complemented
51#16840413C2211yescharacteristic, complemented
52#16840409—21no—
53#16840404—21no—
54#16840404—21no—
55#16840402—21no—
56#16840400C2211yescharacteristic, complemented
57D4×D244C2211yescharacteristic, complemented
58#16840396—21no—
59D4×C22⋊D61C2211yescharacteristic, complemented
60#16840394—21no—
61#16840392C2211yescharacteristic, complemented
62#16840380—21no—
63#16840362—21no—
64#16840342C2211yescharacteristic
65#16840339—21no—
66#16840330C2211yescharacteristic
67#16840328C2211yescharacteristic, complemented
68#16840327—21no—
69#16840309—21no—
70#16840295—21no—
71#16840271C2211yescharacteristic
72#16840270—21no—
73C2×#14519750—21no—
74#121×D61C2211yescharacteristic
75#121×D61C2211yescharacteristic, complemented
76#16840243C2211yescharacteristic, complemented
77#16840241C2211yescharacteristic
78#16840234C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840109C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840101C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840096C2211yescharacteristic, complemented
90#16840089C2211yescharacteristic, complemented
91#16840087C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic, complemented
94#16840083C2211yescharacteristic, complemented
95#16840082C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840058C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840042C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840016C2211yescharacteristic, complemented
109#16840013C2211yescharacteristic, complemented
110#16840010C2211yescharacteristic, complemented
111#16840005C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic, complemented
113#16839998C2211yescharacteristic, complemented
114#16839998C2211yescharacteristic, complemented
115#16839997C2211yescharacteristic, complemented
116#16839997C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839996C2211yescharacteristic, complemented
120#16839995C2211yescharacteristic, complemented
121#16839994C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839958C2211yescharacteristic, complemented
126#16839957C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839955C2211yescharacteristic, complemented
129#16839909C2211yescharacteristic, complemented
130#16839909C2211yescharacteristic, complemented
131#16839908C2211yescharacteristic, complemented
132#16839907C2211yescharacteristic, complemented
133#16839905C2211yescharacteristic, complemented
134#16839905C2211yescharacteristic, complemented
135#16839904C2211yescharacteristic, complemented
136#16839902C2211yescharacteristic, complemented
137#16839899C2211yescharacteristic, complemented
138#16839897C2211yescharacteristic, complemented
139#16839897C2211yescharacteristic, complemented
140#16839896C2211yescharacteristic, complemented
141#16839894C2211yescharacteristic, complemented
142#16839894C2211yescharacteristic, complemented
143#16839874C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839853C2211yescharacteristic, complemented
148C4×#11758190C2211yescharacteristic, complemented
149#16839842C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839834C2211yescharacteristic, complemented
152#16839832C2211yescharacteristic, complemented
153#16839830C2211yescharacteristic, complemented
154C8×D244C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156C8×C22⋊D61C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#107×D61C2211yescharacteristic, complemented
160#16839787C2211yescharacteristic, complemented
161#16839767C2211yescharacteristic, complemented
162#16839765C2211yescharacteristic, complemented
163#16839765C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839762C2211yescharacteristic, complemented
166#16839761C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic
168#16839760C2211yescharacteristic, complemented
169#16839759C2211yescharacteristic, complemented
170#16839759C2211yescharacteristic, complemented
171#16839758C2211yescharacteristic, complemented
172#16839757C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic, complemented
174#16839756C2211yescharacteristic, complemented
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic
177#16839755C2211yescharacteristic, complemented
178#103×D61C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#102×D61C2211yescharacteristic, complemented
181#102×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839716C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic, complemented
190C61×#488C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic, complemented
199C4×D8×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203#14519822—24no—
204#14519822—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216#41×D61—24no—
217#41×D61—42no—
218C2×Q8×D61C2311yescharacteristic
219C22×D244—21no—
220C22×C22⋊D61—21no—
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C22×C4×D61—21no—
232C22×C4×D61C2311yescharacteristic
233#14519804—42no—
234#14519801—24no—
235C2×#11758190C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×D488C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C2×#11758199C2311yescharacteristic
244D8×D61—42no—
245#14519783—42no—
246C2×#11758194C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C22×#92418C2311yescharacteristic
251C2×C8×D61—42no—
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254C2×C8×D61C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257#14519777C2311yescharacteristic
258#14519776—21no—
259#14519776C2311yescharacteristic
260#14519774C2311yescharacteristic
261#14519773—21no—
262#14519773—21no—
263#14519773—21no—
264#14519773C2311yescharacteristic
265#14519772—21no—
266#14519771—21no—
267#14519770—21no—
268#14519768C2311yescharacteristic
269#14519767—21no—
270#14519766C2311yescharacteristic
271#14519764—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519760—21no—
282#14519760—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759D411yescharacteristic
287#14519758—21no—
288#14519757—21no—
289#14519756—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755D411yescharacteristic
295#14519754—21no—
296#14519754D411yescharacteristic
297#14519753C2311yescharacteristic
298#14519752—21no—
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750D411yescharacteristic
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749D411yescharacteristic
329#14519748—21no—
330#14519748—21no—
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519747—21no—
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747D411yescharacteristic
340#14519746—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745D411yescharacteristic
345C4×Dic122C2311yescharacteristic
346#14519742—21no—
347#14519742C2311yescharacteristic
348C4×D244—21no—
349C4×D244C2311yescharacteristic
350C4×D244C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353#14519739—21no—
354#14519739—21no—
355#14519739—21no—
356#14519739—21no—
357#14519739C2311yescharacteristic
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61C2311yescharacteristic
363C4×C22⋊D61C2311yescharacteristic
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519736C2311yescharacteristic
370#14519736C2311yescharacteristic
371#14519735—21no—
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519734—21no—
376#14519734C2311yescharacteristic
377#14519733—21no—
378#14519733—21no—
379#14519733—21no—
380C2×#11758196—21no—
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C2×#11758198—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C42×D61—21no—
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×D8×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C22×C8×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451#126×C61—21no—
452#125×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61—21no—
459#121×C61C2311yescharacteristic
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C24×C61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61C2×D411yescharacteristic
493#41×C61—22no—
494#41×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—22no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
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—44no—
531C2×C22⋊D61—44no—
532C2×C22⋊D61—82no—
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C2×C22⋊D61C2×D411yescharacteristic
536C2×C22⋊D61C2×D411yescharacteristic
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61C2×D411yescharacteristic
542#11758226—22no—
543#11758226—22no—
544Q8×D61—22no—
545Q8×D61—41no—
546#11758224—22no—
547#11758224—22no—
548#11758224—41no—
549#11758224—44no—
550#11758224—44no—
551#11758224#4114yescomplemented
552D4×D61—22no—
553D4×D61—22no—
554D4×D61—22no—
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—41no—
559D4×D61—41no—
560D4×D61—44no—
561D4×D61—44no—
562D4×D61—82no—
563D4×D61—82no—
564#11758222—22no—
565#11758222—22no—
566#11758222—22no—
567#11758222—22no—
568#11758222—41no—
569#11758222—41no—
570#11758222—44no—
571#11758222—82no—
572#11758222—82no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—82no—
581C2×D244C2×D411yescharacteristic
582C2×D244C2×D411yescharacteristic
583C2×D244C2411yescharacteristic
584C2×D244C2411yescharacteristic
585C2×D244C2411yescharacteristic
586C2×C4×D61—22no—
587C2×C4×D61—22no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—44no—
600C2×C4×D61C2×D411yescharacteristic
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×Dic122—21no—
606C2×Dic122—21no—
607C2×Dic122—21no—
608C2×Dic122C2×D411yescharacteristic
609C2×Dic122C2411yescharacteristic
610SD16×C61—41no—
611D8×C61—22no—
612D8×C61—41no—
613C2×C8×C61—41no—
614C2×C8×C61—41no—
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C2×C8×C61C2411yescharacteristic
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61C2×D411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61C2×D411yescharacteristic
638C22⋊C4×C61C2×D411yescharacteristic
639C42×C61—21no—
640C42×C61C2411yescharacteristic
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61C2×D411yescharacteristic
649C22⋊Dic61C2×D411yescharacteristic
650#11758201—41no—
651#11758200—22no—
652#11758199—22no—
653#11758199—41no—
654#11758199—41no—
655#11758199—41no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198C2×D411yescharacteristic
673#11758198C2×D411yescharacteristic
674#11758198C2×D411yescharacteristic
675#11758198C2×D411yescharacteristic
676#11758198C2×D411yescharacteristic
677#11758198C2×D411yescharacteristic
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61C2×D411yescharacteristic
681C4⋊Dic61C2411yescharacteristic
682C4⋊Dic61C2411yescharacteristic
683C4⋊Dic61C2411yescharacteristic
684C4⋊Dic61C2411yescharacteristic
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196C2×D411yescharacteristic
696#11758196C2×D411yescharacteristic
697#11758196C2×D411yescharacteristic
698#11758196C2×D411yescharacteristic
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61—21no—
704C4×Dic61—21no—
705C4×Dic61—21no—
706C4×Dic61C2411yescharacteristic
707#11758194—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713D488—41no—
714D488—41no—
715#11758190—22no—
716#11758189—22no—
717#11758189—22no—
718#11758189—41no—
719C8×D61—22no—
720C8×D61—22no—
721C8×D61—41no—
722C8×D61—41no—
723C8×D61—41no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—21no—
727C23×C61—42no—
728C23×C61—81no—
729C23×C61—81no—
730C23×C61C22×D411yescharacteristic
731C23×C61C22×D411yescharacteristic
732C22×D61—22no—
733C22×D61—22no—
734C22×D61—21no—
735C22×D61—21no—
736C22×D61—21no—
737C22×D61—41no—
738C22×D61—42no—
739C22×D61—42no—
740C22×D61—42no—
741C22×D61—42no—
742C22×D61—42no—
743C22×D61—81no—
744C22×D61—81no—
745C22×D61—81no—
746C22×D61—81no—
747C22×D61—81no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61C22×D411yescharacteristic
751C22×D61C22×D411yescharacteristic
752C22×D61C22×D411yescharacteristic
753Q8×C61—21no—
754Q8×C61—21no—
755D4×C61—21no—
756D4×C61—21no—
757D4×C61—21no—
758D4×C61—21no—
759D4×C61—21no—
760D4×C61—41no—
761D4×C61—42no—
762D4×C61—42no—
763D4×C61—81no—
764D4×C61—81no—
765D4×C61—81no—
766D4×C61C2×#4112yes—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—42no—
777C2×C4×C61—81no—
778C2×C4×C61—81no—
779C2×C4×C61—81no—
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C2511yescharacteristic
785C22⋊D61—22no—
786C22⋊D61—24no—
787C22⋊D61—22no—
788C22⋊D61—22no—
789C22⋊D61—41no—
790C22⋊D61—42no—
791C22⋊D61—42no—
792C22⋊D61—42no—
793C22⋊D61—42no—
794C22⋊D61—42no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—81no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C2×Dic61—21no—
807C2×Dic61—22no—
808C2×Dic61—24no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—42no—
814C2×Dic61—81no—
815C2×Dic61—81no—
816C2×Dic61C22×D411yescharacteristic
817C2×Dic61C22×D411yescharacteristic
818C2×Dic61C22×D411yescharacteristic
819C2×Dic61C22×D411yescharacteristic
820C2×Dic61C22×D411yescharacteristic
821D244—22no—
822D244—22no—
823D244—21no—
824D244—21no—
825D244—21no—
826D244—21no—
827D244—21no—
828D244—21no—
829D244—42no—
830D244—42no—
831D244—42no—
832D244—81no—
833D244—81no—
834D244—81no—
835D244—81no—
836C4×D61—22no—
837C4×D61—21no—
838C4×D61—21no—
839C4×D61—21no—
840C4×D61—21no—
841C4×D61—22no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—42no—
847C4×D61—81no—
848C4×D61—81no—
849C4×D61—81no—
850C4×D61—81no—
851C4×D61—81no—
852C4×D61—81no—
853C4×D61C2×#4112yes—
854C4×D61H(5,𝔽2)12yes—
855Dic122—21no—
856Dic122—22no—
857Dic122—42no—
858Dic122—81no—
859Dic122—81no—
860Dic122C2×#4112yes—
861C8×C61—21no—
862C8×C61—21no—
863C8×C61—21no—
864C8×C61—21no—
865#92418—21no—
866#92418—21no—
867#92418—21no—
868#92418—21no—
869#61171—611nomaximal, Sylow
870C22×C61—21no—
871C22×C61—21no—
872C22×C61—22no—
873C22×C61—21no—
874C22×C61—21no—
875C22×C61—21no—
876C22×C61—21no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—162no—
886C22×C61C23×D411yescharacteristic
887C2×D61—21no—
888C2×D61—21no—
889C2×D61—21no—
890C2×D61—21no—
891C2×D61—21no—
892C2×D61—21no—
893C2×D61—21no—
894C2×D61—44no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—84no—
905C2×D61—162no—
906C2×D61—162no—
907C2×D61—162no—
908C2×D61#54612yes—
909C2×D61#57612yes—
910C4×C61—21no—
911C4×C61—21no—
912C4×C61—21no—
913C4×C61—21no—
914C4×C61—41no—
915C4×C61—41no—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61—41no—
919C4×C61C22×#4111yescharacteristic
920C4×C61C2×H(5,𝔽2)11yescharacteristic
921Dic61—21no—
922Dic61—21no—
923Dic61—22no—
924Dic61—21no—
925Dic61—21no—
926Dic61—41no—
927Dic61—41no—
928Dic61—41no—
929Dic61—41no—
930Dic61#54612yes—
931#3494—611no—
932#3488—611no—
933#3319—611no—
934#3319—611no—
935#3318—611no—
936#3318—611no—
937#3309—611no—
938#3309—611no—
939#3308—611no—
940#3308—611no—
941#3305—611no—
942#3305—611no—
943#3301—611no—
944#3301—611no—
945#3297—611no—
946#3297D6111yescharacteristic, complemented
947#3294—611no—
948#3294—611no—
949#3136—611no—
950#3098—611no—
951#3094—611no—
952#3083—611no—
953#3062—611no—
954C2×#466—611no—
955#3041—611no—
956#3008—611no—
957#3006—611no—
958#2946—611no—
959#2929—611no—
960#2897—611no—
961C2×#416—611no—
962C2×C61—41no—
963C2×C61—42no—
964C2×C61—41no—
965C2×C61—81no—
966C2×C61—81no—
967C2×C61C2×#54611yescharacteristic
968C2×C61C2×#57611yescharacteristic
969C2×C61#358411yescharacteristic
970D61—22no—
971D61—22no—
972D61—41no—
973D61—81no—
974D61—81no—
975D61—81no—
976C2×H(5,𝔽2)—611no—
977C22×#41—611no—
978C2×AGL(1,ℤ/8)—611no—
979C2×AGL(1,ℤ/8)—611no—
980C22×D8—611no—
981C2×#131—611no—
982C23×C8—611no—
983#555—611no—
984#555—611no—
985#553—611no—
986#553—611no—
987#553—611no—
988#553C2×D6111yescharacteristic, complemented
989#551—1221no—
990#551—1221no—
991#550—611no—
992#550—611no—
993#548—611no—
994#548—611no—
995#547—611no—
996#547—611no—
997#546—611no—
998#546—1221no—
999#546—1221no—
1000#546—1221no—
1001#546—1221no—
1002#546C2×D6111yescharacteristic, complemented
1003D42—611no—
1004D42—611no—
1005D42—1221no—
1006D42—1221no—
1007#544—611no—
1008#542—1221no—
1009#540—1221no—
1010#537—611no—
1011#537—1221no—
1012#535—611no—
1013#535—611no—
1014#535—1221no—
1015#532—1221no—
1016#529—1221no—
1017#525—611no—
1018#525—1221no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—1221no—
1022#520—611no—
1023#520—611no—
1024#518—611no—
1025C2×#117—611no—
1026#490—611no—
1027#490—611no—
1028#489—611no—
1029#489—611no—
1030#488—611no—
1031#488C2×D6111yescharacteristic, complemented
1032#486—611no—
1033#486—611no—
1034#485—611no—
1035#485—611no—
1036#484—611no—
1037#484C2×D6111yescharacteristic, complemented
1038#482—611no—
1039#482—611no—
1040#482—611no—
1041#482—611no—
1042#482—611no—
1043#482C2×D6111yescharacteristic, complemented
1044#481—611no—
1045#481—611no—
1046#480—611no—
1047#480—611no—
1048#480—611no—
1049#480—611no—
1050#479—611no—
1051#479—611no—
1052#478—611no—
1053#478C2×D6111yescharacteristic, complemented
1054#477—611no—
1055#477—611no—
1056#474—611no—
1057#474—611no—
1058#469—611no—
1059#469—611no—
1060#468—611no—
1061#468—611no—
1062#466—611no—
1063#466—611no—
1064#466—611no—
1065#466—611no—
1066#466—611no—
1067#466—611no—
1068#466—611no—
1069#466—611no—
1070#466—611no—
1071#466C2×D6111yescharacteristic, complemented
1072#465—611no—
1073#465C2×D6111yescharacteristic, complemented
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#463C2×D6111yescharacteristic, complemented
1078#459—611no—
1079#459—611no—
1080#459—611no—
1081#459—611no—
1082#449—611no—
1083#449—611no—
1084#449—611no—
1085#449—611no—
1086#449—611no—
1087#449—611no—
1088#449—611no—
1089#449C2×D6111yescharacteristic, complemented
1090#448—611no—
1091#448—611no—
1092#447—611no—
1093#447—611no—
1094#447—611no—
1095#447—611no—
1096#447—611no—
1097#447C2×D6111yescharacteristic, complemented
1098#442—611no—
1099#442—611no—
1100#440—611no—
1101#440—611no—
1102C4×SD16—611no—
1103C4×SD16—611no—
1104C4×D8—611no—
1105C4×D8C2×D6111yescharacteristic, complemented
1106#435—611no—
1107#435—611no—
1108#435—611no—
1109#435—611no—
1110C8×D4—611no—
1111C8×D4—611no—
1112C8×D4—611no—
1113C8×D4C2×D6111yescharacteristic, complemented
1114#428—611no—
1115#428—611no—
1116C2×#107—611no—
1117#424—611no—
1118#418—611no—
1119#418—611no—
1120#418—611no—
1121#418—611no—
1122#417—611no—
1123#417—611no—
1124#417—611no—
1125#417—611no—
1126#416—611no—
1127#416—611no—
1128#416—611no—
1129#416—611no—
1130#416—611no—
1131#416—611no—
1132#416—611no—
1133#416—611no—
1134#416—611no—
1135#416C2×D6111yescharacteristic, complemented
1136C2×#103—611no—
1137C2×#103—611no—
1138C2×#102—611no—
1139C2×#102—611no—
1140C2×#102—611no—
1141C2×#102—611no—
1142C2×#102—611no—
1143C2×#102C2×D6111yescharacteristic, complemented
1144#408—611no—
1145#407—611no—
1146#405—611no—
1147C61#6117111yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—1224no—
1149H(5,𝔽2)—2442no—
1150C2×#41—611no—
1151C2×#41—611no—
1152C2×#41—611no—
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—1221no—
1157C2×#41—1221no—
1158C2×#41—1221no—
1159C2×#41—1221no—
1160C2×#41—1221no—
1161C2×#41—1224no—
1162C2×#41—2442no—
1163C2×#41C22×D6111yescharacteristic
1164C22×Q8—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—1221no—
1170C22×D4—1221no—
1171C22×D4—1221no—
1172C22×D4—1221no—
1173C22×D4—1221no—
1174C22×D4—1221no—
1175C22×D4—1221no—
1176C22×D4—1221no—
1177C22×D4C22×D6111yescharacteristic
1178C23×C4—611no—
1179C23×C4—1221no—
1180AGL(1,ℤ/8)—1224no—
1181AGL(1,ℤ/8)—2442no—
1182C2×SD16—611no—
1183C2×SD16—611no—
1184C2×SD16—611no—
1185C2×SD16C22×D6111yescharacteristic
1186C2×D8—611no—
1187C2×D8—611no—
1188C2×D8—611no—
1189C2×D8—611no—
1190C2×D8—611no—
1191C2×D8—611no—
1192C2×D8—2442no—
1193C2×D8C22×D6111yescharacteristic
1194C2×D8C22×D6111yescharacteristic
1195#131—2442no—
1196C2×M16—611no—
1197C2×M16—611no—
1198C2×M16—611no—
1199C2×M16—611no—
1200C22×C8—611no—
1201C22×C8—611no—
1202C22×C8—611no—
1203C22×C8—611no—
1204C22×C8—611no—
1205C22×C8—611no—
1206C22×C8—2442no—
1207C22×C8C22×D6111yescharacteristic
1208C22×C8C22×D6111yescharacteristic
1209C4⋊Q8—611no—
1210C4⋊Q8—611no—
1211C4⋊Q8—1221no—
1212#127—611no—
1213#127—611no—
1214#127—1221no—
1215#127—1221no—
1216#127—1221no—
1217#126—21no—
1218#126—1221no—
1219#126—1221no—
1220#126—1221no—
1221#125—611no—
1222#125—1221no—
1223#125C22×D6111yescharacteristic
1224#124—611no—
1225#124—1221no—
1226#124—1221no—
1227#124—1221no—
1228#124—1221no—
1229#124—1221no—
1230#124—1221no—
1231#124—1221no—
1232#124C22×D6111yescharacteristic
1233#123—21no—
1234#123—21no—
1235#123—611no—
1236#123—611no—
1237#123—1221no—
1238#123—1221no—
1239#123—1221no—
1240#123—1221no—
1241#123—1221no—
1242#123—1221no—
1243#123—1221no—
1244#123—1221no—
1245C22⋊Q8—611no—
1246C22⋊Q8—611no—
1247C22⋊Q8—611no—
1248C22⋊Q8—1221no—
1249C22⋊Q8—1221no—
1250C22⋊Q8—1221no—
1251C22⋊Q8—1221no—
1252C22⋊Q8—1221no—
1253C22⋊Q8—1221no—
1254C22⋊Q8—1221no—
1255C22⋊Q8C22×D6111yescharacteristic
1256#121—21no—
1257#121—21no—
1258#121—611no—
1259#121—611no—
1260#121—611no—
1261#121—611no—
1262#121—611no—
1263#121—611no—
1264#121—611no—
1265#121—611no—
1266#121—611no—
1267#121—611no—
1268#121—611no—
1269#121—611no—
1270#121—611no—
1271#121—1221no—
1272#121—1221no—
1273#121—1221no—
1274#121—1221no—
1275#121—1221no—
1276#121—1221no—
1277#121—1221no—
1278#121—1221no—
1279#121—1221no—
1280#121—1221no—
1281#121—1221no—
1282#121—1221no—
1283#121—1221no—
1284#121—1221no—
1285#121—1221no—
1286#121—1221no—
1287#121—1221no—
1288#121—1221no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121C22×D6111yescharacteristic
1295#121C22×D6111yescharacteristic
1296#121C22×D6111yescharacteristic
1297#120—21no—
1298#120—611no—
1299#120—611no—
1300#120—1221no—
1301#120—1221no—
1302#120—1221no—
1303#120—1221no—
1304#120—1221no—
1305#120—1221no—
1306#120—1221no—
1307#120—1221no—
1308#120—1221no—
1309C4×Q8—611no—
1310C4×Q8—611no—
1311C4×Q8—1221no—
1312C4×D4—21no—
1313C4×D4—611no—
1314C4×D4—611no—
1315C4×D4—611no—
1316C4×D4—611no—
1317C4×D4—611no—
1318C4×D4—611no—
1319C4×D4—611no—
1320C4×D4—1221no—
1321C4×D4—1221no—
1322C4×D4—1221no—
1323C4×D4—1221no—
1324C4×D4—1221no—
1325C4×D4—1221no—
1326C4×D4—1221no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4C22×D6111yescharacteristic
1335C4×D4C22×D6111yescharacteristic
1336C4×D4C22×D6111yescharacteristic
1337#117—611no—
1338#117—611no—
1339#117—611no—
1340#117—611no—
1341#117—611no—
1342#117—611no—
1343#117—1221no—
1344#117—1221no—
1345#117—1221no—
1346#117—1221no—
1347#117—1221no—
1348#117C22×D6111yescharacteristic
1349C2×C4⋊C4—611no—
1350C2×C4⋊C4—611no—
1351C2×C4⋊C4—611no—
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—1221no—
1355C2×C4⋊C4C22×D6111yescharacteristic
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—1221no—
1358C2×C22⋊C4—1221no—
1359C2×C22⋊C4—1221no—
1360C2×C22⋊C4—1221no—
1361C2×C22⋊C4—1221no—
1362C2×C22⋊C4—1221no—
1363C2×C42—1221no—
1364#107—611no—
1365#107—611no—
1366#107—611no—
1367#107—611no—
1368#107—611no—
1369#107—611no—
1370#107C22×D6111yescharacteristic
1371#107C22×D6111yescharacteristic
1372#106—611no—
1373#106—611no—
1374#106—611no—
1375#106C22×D6111yescharacteristic
1376C4⋊C8—611no—
1377C4⋊C8—611no—
1378C4⋊C8—611no—
1379C4⋊C8C22×D6111yescharacteristic
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103—611no—
1385#103—611no—
1386#103—611no—
1387#103—611no—
1388#103—611no—
1389#103C22×D6111yescharacteristic
1390#103C22×D6111yescharacteristic
1391#103C22×D6111yescharacteristic
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102—611no—
1402#102—611no—
1403#102—611no—
1404#102—611no—
1405#102—611no—
1406#102—611no—
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102C22×D6111yescharacteristic
1414#102C22×D6111yescharacteristic
1415#102C22×D6111yescharacteristic
1416#102C22×D6111yescharacteristic
1417#102C22×D6111yescharacteristic
1418#102C22×D6111yescharacteristic
1419#102C22×D6111yescharacteristic
1420C22⋊C8—611no—
1421C22⋊C8—611no—
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8C22×D6111yescharacteristic
1427C22⋊C8C22×D6111yescharacteristic
1428#97—611no—
1429#97—611no—
1430C4×C8—611no—
1431C4×C8C22×D6111yescharacteristic
1432C24—21no—
1433C24—611no—
1434C24—1221no—
1435C24—1221no—
1436C24—1221no—
1437C24—1221no—
1438#41—22no—
1439#41—41no—
1440#41—614no—
1441#41—1222no—
1442#41—1222no—
1443#41—1222no—
1444#41—1222no—
1445#41—1222no—
1446#41—1222no—
1447#41—1222no—
1448#41—1222no—
1449#41—4882no—
1450#41—4882no—
1451#41—2441no—
1452#41—2441no—
1453#41—2444no—
1454#41—2444no—
1455#41—2441no—
1456#41—2444no—
1457C2×Q8—611no—
1458C2×Q8—611no—
1459C2×Q8—1221no—
1460C2×Q8—1221no—
1461C2×Q8—1221no—
1462C2×Q8—1222no—
1463C2×Q8—2441no—
1464C2×Q8C23×D6111yescharacteristic
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—41no—
1472C2×D4—611no—
1473C2×D4—611no—
1474C2×D4—611no—
1475C2×D4—611no—
1476C2×D4—611no—
1477C2×D4—611no—
1478C2×D4—611no—
1479C2×D4—611no—
1480C2×D4—611no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1222no—
1487C2×D4—1222no—
1488C2×D4—1222no—
1489C2×D4—1222no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1222no—
1498C2×D4—1222no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—4882no—
1512C2×D4—4882no—
1513C2×D4—4882no—
1514C2×D4—4882no—
1515C2×D4—2441no—
1516C2×D4—2441no—
1517C2×D4—2444no—
1518C2×D4—2444no—
1519C2×D4—2444no—
1520C2×D4—2444no—
1521C2×D4D4×D6111yescharacteristic
1522C2×D4C23×D6111yescharacteristic
1523C2×D4C23×D6111yescharacteristic
1524C2×D4C23×D6111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—611no—
1530C22×C4—611no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—1222no—
1536C22×C4—1222no—
1537C22×C4—1221no—
1538C22×C4—1221no—
1539C22×C4—1221no—
1540C22×C4—1221no—
1541C22×C4—1221no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—2444no—
1553C22×C4C23×D6111yescharacteristic
1554C22×C4C23×D6111yescharacteristic
1555SD16—41no—
1556SD16—1222no—
1557SD16—1222no—
1558SD16—2441no—
1559D8—22no—
1560D8—41no—
1561D8—1222no—
1562D8—2441no—
1563D8—2441no—
1564D8—2441no—
1565D8—2441no—
1566D8—2441no—
1567M16—1222no—
1568M16—1222no—
1569M16—2441no—
1570M16—2441no—
1571C2×C8—41no—
1572C2×C8—41no—
1573C2×C8—611no—
1574C2×C8—611no—
1575C2×C8—611no—
1576C2×C8—611no—
1577C2×C8—1222no—
1578C2×C8—1222no—
1579C2×C8—2441no—
1580C2×C8—2441no—
1581C2×C8—2441no—
1582C2×C8—2441no—
1583C2×C8C23×D6111yescharacteristic
1584C2×C8C23×D6111yescharacteristic
1585C2×C8C23×D6111yescharacteristic
1586C2×C8C23×D6111yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—611no—
1592C4⋊C4—611no—
1593C4⋊C4—611no—
1594C4⋊C4—611no—
1595C4⋊C4—611no—
1596C4⋊C4—611no—
1597C4⋊C4—611no—
1598C4⋊C4—611no—
1599C4⋊C4—611no—
1600C4⋊C4—1221no—
1601C4⋊C4—1221no—
1602C4⋊C4—1221no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4—1221no—
1611C4⋊C4—1221no—
1612C4⋊C4D4×D6111yescharacteristic
1613C4⋊C4C23×D6111yescharacteristic
1614C4⋊C4C23×D6111yescharacteristic
1615C4⋊C4C23×D6111yescharacteristic
1616C4⋊C4C23×D6111yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—611no—
1627C22⋊C4—611no—
1628C22⋊C4—611no—
1629C22⋊C4—611no—
1630C22⋊C4—611no—
1631C22⋊C4—611no—
1632C22⋊C4—611no—
1633C22⋊C4—611no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C22⋊C4—1221no—
1646C22⋊C4—1221no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4D4×D6111yescharacteristic
1658C22⋊C4D4×D6111yescharacteristic
1659C42—21no—
1660C42—611no—
1661C42—1221no—
1662C42—1221no—
1663C42—1221no—
1664C42—1221no—
1665C42—1221no—
1666C42—1221no—
1667C42—1221no—
1668C42C23×D6111yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—611no—
1676C23—611no—
1677C23—611no—
1678C23—1222no—
1679C23—1222no—
1680C23—1221no—
1681C23—1221no—
1682C23—1221no—
1683C23—4881no—
1684C23—4881no—
1685C23—4881no—
1686C23—4881no—
1687C23—4881no—
1688C23—4881no—
1689C23—4881no—
1690C23—2441no—
1691C23—2442no—
1692C23—2442no—
1693C23—2442no—
1694C23—2442no—
1695C23—2442no—
1696C23C2×D4×D6111yescharacteristic
1697C23C2×D4×D6111yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—612no—
1701Q8—1222no—
1702Q8—1221no—
1703Q8—4881no—
1704Q8—4881no—
1705Q8—2442no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—1222no—
1718D4—1222no—
1719D4—1222no—
1720D4—1222no—
1721D4—1222no—
1722D4—1224no—
1723D4—1221no—
1724D4—1221no—
1725D4—1221no—
1726D4—1221no—
1727D4—1221no—
1728D4—1221no—
1729D4—4881no—
1730D4—4881no—
1731D4—4881no—
1732D4—4881no—
1733D4—4881no—
1734D4—4881no—
1735D4—4881no—
1736D4—4881no—
1737D4—4881no—
1738D4—4881no—
1739D4—4881no—
1740D4—2442no—
1741D4—2442no—
1742D4—2442no—
1743D4—2442no—
1744D4—2442no—
1745D4—2441no—
1746D4—2442no—
1747D4—2442no—
1748D4—2442no—
1749D4—2442no—
1750D4—2442no—
1751D4—2442no—
1752D4—2442no—
1753D4#41×D6112yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—611no—
1768C2×C4—612no—
1769C2×C4—612no—
1770C2×C4—611no—
1771C2×C4—611no—
1772C2×C4—611no—
1773C2×C4—611no—
1774C2×C4—1222no—
1775C2×C4—1222no—
1776C2×C4—1222no—
1777C2×C4—1224no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—4881no—
1788C2×C4—4881no—
1789C2×C4—4881no—
1790C2×C4—4881no—
1791C2×C4—4881no—
1792C2×C4—4881no—
1793C2×C4—4881no—
1794C2×C4—4881no—
1795C2×C4—2442no—
1796C2×C4—2442no—
1797C2×C4—2442no—
1798C2×C4—2442no—
1799C2×C4—2442no—
1800C2×C4—2442no—
1801C2×C4C2×D4×D6111yescharacteristic
1802C2×C4C2×D4×D6111yescharacteristic
1803C2×C4C2×D4×D6111yescharacteristic
1804C2×C4C2×D4×D6111yescharacteristic
1805C2×C4C24×D6111yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1221no—
1811C8—1221no—
1812C8—1221no—
1813C8—1221no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—612no—
1831C22—612no—
1832C22—1221no—
1833C22—1221no—
1834C22—1221no—
1835C22—1221no—
1836C22—1221no—
1837C22—1221no—
1838C22—1221no—
1839C22—9762no—
1840C22—9762no—
1841C22—9762no—
1842C22—4884no—
1843C22—2444no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22C22×D4×D6111yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—612no—
1864C4—1221no—
1865C4—1221no—
1866C4—1222no—
1867C4—1221no—
1868C4—1221no—
1869C4—2441no—
1870C4—2441no—
1871C4—2441no—
1872C4—2441no—
1873C4C2×#41×D6111yescharacteristic
1874C4H(5,𝔽2)×D6111yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—1222no—
1881C2—1222no—
1882C2—4881no—
1883C2—4881no—
1884C2—4881no—
1885C2—2441no—
1886C2#546×D6111yescharacteristic
1887C2#576×D6111yescharacteristic
1888C2#2146058811yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3297C2
socleC22×C61C23×D4
hypercenter#3297D61
hypocenterC61#61171
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #21459547C2semidirect
2. #21459482C2semidirect
3. #21457979C2semidirect
4. #21457975C2semidirect
5. #21457957C2semidirect
6. #21457953C2semidirect
7. #21457823C2semidirect
8. #21457819C2semidirect
9. #21457817C2semidirect
10. #21457813C2semidirect
11. #21457770C2semidirect
12. #21457764C2semidirect
13. #21457720C2semidirect
14. #21457716C2semidirect
15. #21457670C2semidirect
16. #21457634C2semidirect
17. #21457628C2semidirect
18. #21456172C2semidirect
19. #21455798C2semidirect
20. #21455758C2semidirect
21. #21455671C2semidirect
22. #21455492C2semidirect
23. #466×D61C2semidirect
24. #21455320C2semidirect
25. #21455082C2semidirect
26. #21455068C2semidirect
27. #21454644C2semidirect
28. #21454508C2semidirect
29. #21454340C2semidirect
30. #416×D61C2semidirect
31. C61×#3297C2semidirect
34. C2×#14519804C22semidirect
36. C2×D8×D61C22semidirect
37. C2×#14519783C22semidirect
38. C22×C8×D61C22semidirect
39. #16840477C22semidirect
40. #16840476C22semidirect
41. #16840465C22semidirect
42. #16840459C22semidirect
43. #16840456C22semidirect
46. #16840433C22semidirect
47. #16840430C22semidirect
48. #16840422C22semidirect
49. #16840420C22semidirect
50. #16840417C22semidirect
51. #16840413C22semidirect
56. #16840400C22semidirect
57. D4×D244C22semidirect
59. D4×C22⋊D61C22semidirect
61. #16840392C22semidirect
67. #16840328C22semidirect
75. #121×D61C22semidirect
76. #16840243C22semidirect
78. #16840234C22semidirect
79. #117×D61C22semidirect
80. #16840128C22semidirect
81. #16840125C22semidirect
82. #16840123C22semidirect
83. #16840121C22semidirect
84. #16840118C22semidirect
85. #16840109C22semidirect
86. #16840107C22semidirect
87. #16840101C22semidirect
88. #16840100C22semidirect
89. #16840096C22semidirect
90. #16840089C22semidirect
91. #16840087C22semidirect
92. #16840087C22semidirect
93. #16840086C22semidirect
94. #16840083C22semidirect
95. #16840082C22semidirect
96. #16840079C22semidirect
97. #16840077C22semidirect
98. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840072C22semidirect
102. #16840066C22semidirect
103. #16840060C22semidirect
104. #16840058C22semidirect
105. #16840056C22semidirect
106. #16840042C22semidirect
107. #16840040C22semidirect
108. #16840016C22semidirect
109. #16840013C22semidirect
110. #16840010C22semidirect
111. #16840005C22semidirect
112. #16839999C22semidirect
113. #16839998C22semidirect
114. #16839998C22semidirect
115. #16839997C22semidirect
116. #16839997C22semidirect
117. #16839997C22semidirect
118. #16839996C22semidirect
119. #16839996C22semidirect
120. #16839995C22semidirect
121. #16839994C22semidirect
122. #16839980C22semidirect
123. #16839979C22semidirect
124. #16839974C22semidirect
125. #16839958C22semidirect
126. #16839957C22semidirect
127. #16839956C22semidirect
128. #16839955C22semidirect
129. #16839909C22semidirect
130. #16839909C22semidirect
131. #16839908C22semidirect
132. #16839907C22semidirect
133. #16839905C22semidirect
134. #16839905C22semidirect
135. #16839904C22semidirect
136. #16839902C22semidirect
137. #16839899C22semidirect
138. #16839897C22semidirect
139. #16839897C22semidirect
140. #16839896C22semidirect
141. #16839894C22semidirect
142. #16839894C22semidirect
143. #16839874C22semidirect
144. #16839872C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839853C22semidirect
148. C4×#11758190C22semidirect
149. #16839842C22semidirect
150. #16839836C22semidirect
151. #16839834C22semidirect
152. #16839832C22semidirect
153. #16839830C22semidirect
154. C8×D244C22semidirect
155. C8×C22⋊D61C22semidirect
156. C8×C22⋊D61C22semidirect
157. #16839803C22semidirect
158. #16839801C22semidirect
159. #107×D61C22semidirect
160. #16839787C22semidirect
161. #16839767C22semidirect
162. #16839765C22semidirect
163. #16839765C22semidirect
164. #16839765C22semidirect
165. #16839762C22semidirect
166. #16839761C22semidirect
168. #16839760C22semidirect
169. #16839759C22semidirect
170. #16839759C22semidirect
171. #16839758C22semidirect
172. #16839757C22semidirect
173. #16839757C22semidirect
174. #16839756C22semidirect
177. #16839755C22semidirect
178. #103×D61C22semidirect
179. #103×D61C22semidirect
180. #102×D61C22semidirect
181. #102×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839727C22semidirect
186. #16839724C22semidirect
187. #16839716C22semidirect
188. C61×#553C22semidirect
189. C61×#546C22semidirect
190. C61×#488C22semidirect
191. C61×#484C22semidirect
192. C61×#482C22semidirect
193. C61×#478C22semidirect
194. C61×#466C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#447C22semidirect
199. C4×D8×C61C22semidirect
200. C8×D4×C61C22semidirect
201. C61×#416C22semidirect
202. C2×#102×C61C22semidirect
551. #11758224#41semidirect
946. #3297D61semidirect
988. #553C2×D61semidirect
1002. #546C2×D61semidirect
1031. #488C2×D61semidirect
1037. #484C2×D61semidirect
1043. #482C2×D61semidirect
1053. #478C2×D61semidirect
1071. #466C2×D61semidirect
1073. #465C2×D61semidirect
1077. #463C2×D61semidirect
1089. #449C2×D61semidirect
1097. #447C2×D61semidirect
1105. C4×D8C2×D61semidirect
1113. C8×D4C2×D61semidirect
1135. #416C2×D61semidirect
1143. C2×#102C2×D61semidirect
1147. C61#61171semidirect

Maximal subgroups

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

subgroupindex
#214595472
#214594822
#214579792
#214579752
#214579572
#214579532
#214578232
#214578192
#214578172
#214578132
#214577702
#214577642
#214577202
#214577162
#214576702
#214576342
#214576282
#214561722
#214557982
#214557582
#214556712
#214554922
#466×D612
#214553202
#214550822
#214550682
#214546442
#214545082
#214543402
#416×D612
C61×#32972
#6117161