Finite Group Databasebeta

← #30565541

Subgroups — #30565541

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459662C211yesmaximal, characteristic, complemented
2#21459302C211yesmaximal, characteristic, complemented
3#21458100C211yesmaximal, characteristic, complemented
4#21458048C211yesmaximal, characteristic, complemented
5#21458011C211yesmaximal, characteristic, complemented
6#21458008C211yesmaximal, characteristic, complemented
7#21457981C211yesmaximal, characteristic, complemented
8#21457978C211yesmaximal, characteristic, complemented
9#21457753C211yesmaximal, characteristic, complemented
10#21457731C211yesmaximal, characteristic, complemented
11#21457576C211yesmaximal, characteristic, complemented
12#21457546C211yesmaximal, characteristic, complemented
13#21457478C211yesmaximal, characteristic, complemented
14#21457432C211yesmaximal, characteristic, complemented
15#21457372C211yesmaximal, characteristic, complemented
16#21457371C211yesmaximal, characteristic, complemented
17#21457347C211yesmaximal, characteristic, complemented
18#21457341C211yesmaximal, characteristic, complemented
19#21456827C211yesmaximal, characteristic, complemented
20#21456750C211yesmaximal, characteristic, complemented
21#21456659C211yesmaximal, characteristic, complemented
22#21456656C211yesmaximal, characteristic, complemented
23#21456614C211yesmaximal, characteristic, complemented
24#21455965C211yesmaximal, characteristic, complemented
25#21455885C211yesmaximal, characteristic, complemented
26#21455062C211yesmaximal, characteristic, complemented
27#21455059C211yesmaximal, characteristic, complemented
28#21455041C211yesmaximal, characteristic, complemented
29#21455034C211yesmaximal, characteristic, complemented
30#21454850C211yesmaximal, characteristic, complemented
31C61×#3191C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519807C2211yescharacteristic, complemented
36C2×#14519804C2211yescharacteristic, complemented
37C2×#14519802C2211yescharacteristic, complemented
38C2×#14519799C2211yescharacteristic, complemented
39C2×#14519799C2211yescharacteristic, complemented
40C2×#14519798C2211yescharacteristic, complemented
41C2×#14519796C2211yescharacteristic, complemented
42#16840496—21no—
43#16840495—21no—
44#16840483C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic
46#16840476C2211yescharacteristic, complemented
47#16840475C2211yescharacteristic, complemented
48#16840461—21no—
49#16840457—21no—
50#16840431C2211yescharacteristic
51#16840430C2211yescharacteristic
52#16840430C2211yescharacteristic, complemented
53#16840425C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840414C2211yescharacteristic
57#16840414C2211yescharacteristic, complemented
58#16840411C2211yescharacteristic, complemented
59#16840410—21no—
60#16840409C2211yescharacteristic
61#16840404—21no—
62#16840403C2211yescharacteristic
63#16840399—21no—
64#16840396C2211yescharacteristic
65#16840394—21no—
66#16840347—21no—
67#16840345—21no—
68#16840327—21no—
69#16840314C2211yescharacteristic, complemented
70#16840309—21no—
71#16840308C2211yescharacteristic
72#16840307C2211yescharacteristic, complemented
73#16840275C2211yescharacteristic, complemented
74#16840274C2211yescharacteristic
75#16840273C2211yescharacteristic, complemented
76#16840272C2211yescharacteristic, complemented
77#16840271—21no—
78#16840271—21no—
79#16840241—21no—
80#16840230C2211yescharacteristic
81C2×C4×C22⋊D61C2211yescharacteristic
82C4×D4×D61—21no—
83#16840155C2211yescharacteristic, complemented
84#16840153C2211yescharacteristic, complemented
85#16840137C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840123C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840111C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic, complemented
91#16840105C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic, complemented
94#16840100C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840088C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic, complemented
99#16840046C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840041C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic, complemented
104#16840018C2211yescharacteristic, complemented
105#16840014C2211yescharacteristic, complemented
106#16840013C2211yescharacteristic, complemented
107#16840010C2211yescharacteristic, complemented
108#16840009C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic, complemented
110#16840006C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic, complemented
115#16839980C2211yescharacteristic, complemented
116#16839979C2211yescharacteristic, complemented
117#16839976C2211yescharacteristic, complemented
118#16839975C2211yescharacteristic, complemented
119#16839971C2211yescharacteristic, complemented
120#16839971C2211yescharacteristic, complemented
121#16839970C2211yescharacteristic, complemented
122#16839966C2211yescharacteristic, complemented
123#16839961C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839960C2211yescharacteristic, complemented
126#16839956C2211yescharacteristic, complemented
127#16839927C2211yescharacteristic, complemented
128#16839926C2211yescharacteristic
129#16839926C2211yescharacteristic, complemented
130#16839925C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic, complemented
132#16839923C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic
134#16839922C2211yescharacteristic, complemented
135#16839922C2211yescharacteristic, complemented
136#16839922C2211yescharacteristic, complemented
137#16839922C2211yescharacteristic, complemented
138#16839921C2211yescharacteristic, complemented
139#16839920C2211yescharacteristic, complemented
140#16839919C2211yescharacteristic, complemented
141#16839915C2211yescharacteristic, complemented
142#16839914C2211yescharacteristic, complemented
143#16839910C2211yescharacteristic, complemented
144#16839910C2211yescharacteristic, complemented
145#16839909C2211yescharacteristic
146#16839909C2211yescharacteristic, complemented
147#16839908C2211yescharacteristic, complemented
148#16839908C2211yescharacteristic, complemented
149#16839907C2211yescharacteristic, complemented
150#16839905C2211yescharacteristic
151#16839905C2211yescharacteristic, complemented
152#16839905C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839903C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic, complemented
157#16839898C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839873C2211yescharacteristic, complemented
160#16839871C2211yescharacteristic, complemented
161#16839861C2211yescharacteristic, complemented
162#16839859C2211yescharacteristic, complemented
163#16839856C2211yescharacteristic, complemented
164#16839854C2211yescharacteristic, complemented
165#16839849C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839837C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839836C2211yescharacteristic, complemented
170#16839836C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic, complemented
172#16839833C2211yescharacteristic, complemented
173C8×C22⋊D61C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839816C2211yescharacteristic, complemented
176#16839812C2211yescharacteristic, complemented
177#16839770C2211yescharacteristic, complemented
178#16839769C2211yescharacteristic, complemented
179#16839766C2211yescharacteristic, complemented
180#16839765C2211yescharacteristic, complemented
181#16839759C2211yescharacteristic, complemented
182#16839759C2211yescharacteristic, complemented
183#16839757C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185#16839726C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#525C2211yescharacteristic
189C61×#525C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#465C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#449C2211yescharacteristic, complemented
202C2×C22⋊C8×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—42no—
209C2×#11758222—42no—
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758222C2311yescharacteristic
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758224—21no—
216C2×#11758224—21no—
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219#41×D61—42no—
220#41×D61—42no—
221C22×Dic122C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C22×D244C2311yescharacteristic
224C22×C22⋊D61—21no—
225C22×C22⋊D61D411yescharacteristic
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61C2311yescharacteristic
229C22×C4×D61—21no—
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232#14519809—42no—
233#14519807—42no—
234#14519804—42no—
235#14519802—42no—
236#14519799—42no—
237#14519799—42no—
238#14519798—42no—
239#14519796—42no—
240C2×Dic244C2311yescharacteristic
241C2×Dic244C2311yescharacteristic
242C2×#11758202C2311yescharacteristic
243C2×#11758202C2311yescharacteristic
244C2×#11758202C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758200C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255C2×D488C2311yescharacteristic
256C2×D488C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758194C2311yescharacteristic
261C2×#11758194C2311yescharacteristic
262C2×#11758189C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic
265C2×C8×D61C2311yescharacteristic
266#14519776—21no—
267#14519776C2311yescharacteristic
268#14519776C2311yescharacteristic
269#14519775C2311yescharacteristic
270#14519775C2311yescharacteristic
271#14519773—21no—
272#14519773—21no—
273#14519773—21no—
274#14519773C2311yescharacteristic
275#14519773C2311yescharacteristic
276#14519772—21no—
277#14519771—21no—
278#14519770—21no—
279#14519770—21no—
280#14519767—21no—
281#14519766C2311yescharacteristic
282#14519765—21no—
283#14519764—21no—
284#14519764C2311yescharacteristic
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763—21no—
291#14519763—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762—21no—
296#14519761—21no—
297#14519760—21no—
298#14519760—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759—21no—
303#14519758—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519756C2311yescharacteristic
308#14519756C2311yescharacteristic
309#14519755—21no—
310#14519755—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519751—21no—
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519748—21no—
338#14519748—21no—
339#14519748C2311yescharacteristic
340#14519747—21no—
341#14519747—21no—
342#14519747—21no—
343#14519747—21no—
344#14519746—21no—
345#14519745—21no—
346#14519745—21no—
347#14519745—21no—
348Q8×Dic61C2311yescharacteristic
349C4×Dic122—21no—
350#14519742—21no—
351#14519742—21no—
352#14519742C2311yescharacteristic
353#14519742C2311yescharacteristic
354#14519742C2311yescharacteristic
355C4×D244—21no—
356C4×D244—21no—
357D4×Dic61—21no—
358D4×Dic61—21no—
359D4×Dic61C2311yescharacteristic
360#14519739—21no—
361#14519739—21no—
362#14519739C2311yescharacteristic
363#14519739C2311yescharacteristic
364#14519739C2311yescharacteristic
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61D411yescharacteristic
371C4×C22⋊D61D411yescharacteristic
372C4×C22⋊D61D411yescharacteristic
373C4×C22⋊D61D411yescharacteristic
374C4×C22⋊D61C2311yescharacteristic
375C4×C22⋊D61C2311yescharacteristic
376C4×C22⋊D61C2311yescharacteristic
377C4×C22⋊D61C2311yescharacteristic
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519737—21no—
384#14519737—21no—
385#14519737—21no—
386#14519736C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519735C2311yescharacteristic
389#14519734—21no—
390#14519734—21no—
391#14519733—21no—
392#14519733—21no—
393C2×#11758196—21no—
394C2×#11758196D411yescharacteristic
395C4⋊C4×D61—21no—
396C4⋊C4×D61—21no—
397C2×C22⋊Dic61D411yescharacteristic
398C2×#11758198D411yescharacteristic
399C22⋊C4×D61—21no—
400C22⋊C4×D61—21no—
401C2×C4×Dic61C2311yescharacteristic
402C42×D61—21no—
403#14519710C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437C22⋊#92418C2311yescharacteristic
438C22⋊#92418C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C2×#41×C61C2311yescharacteristic
449C23×C4×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#120×C61—21no—
467#120×C61—21no—
468C4×D4×C61—21no—
469C4×D4×C61—21no—
470C4×D4×C61—21no—
471C4×D4×C61—21no—
472#117×C61C2311yescharacteristic
473#117×C61C2311yescharacteristic
474#107×C61C2311yescharacteristic
475#107×C61C2311yescharacteristic
476#106×C61C2311yescharacteristic
477#106×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490C24×C61C2×D411yescharacteristic
491C23×D61—21no—
492C23×D61—21no—
493C23×D61C2×D411yescharacteristic
494#41×C61—41no—
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—41no—
511C22×C4×C61—41no—
512C22×C4×C61C2×D411yescharacteristic
513C22×C4×C61C2×D411yescharacteristic
514C22×C4×C61C2×D411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C22×C4×C61C2411yescharacteristic
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—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—42no—
534C2×C22⋊D61—44no—
535C2×C22⋊D61C2×D411yescharacteristic
536C2×C22⋊D61C2×D411yescharacteristic
537C2×C22⋊D61C2×D411yescharacteristic
538C2×C22⋊D61C2×D411yescharacteristic
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61—21no—
542C22×Dic61—21no—
543C22×Dic61C2×D411yescharacteristic
544C22×Dic61C2×D411yescharacteristic
545C22×Dic61C2×D411yescharacteristic
546#11758226—22no—
547#11758226—41no—
548#11758226—41no—
549#11758226—41no—
550Q8×D61—22no—
551Q8×D61—41no—
552#11758224—22no—
553#11758224—41no—
554#11758224—41no—
555#11758224—41no—
556#11758224—44no—
557#11758224—44no—
558D4×D61—22no—
559D4×D61—41no—
560D4×D61—44no—
561D4×D61—44no—
562#11758222—22no—
563#11758222—22no—
564#11758222—22no—
565#11758222—22no—
566#11758222—41no—
567#11758222—41no—
568#11758222—41no—
569#11758222—41no—
570#11758222—41no—
571#11758222—41no—
572#11758222—44no—
573#11758222—44no—
574#11758222—44no—
575C2×D244—22no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—41no—
583C2×D244C2411yescharacteristic
584C2×D244C2411yescharacteristic
585C2×D244C2411yescharacteristic
586C2×C4×D61—21no—
587C2×C4×D61—21no—
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—41no—
598C2×C4×D61—41no—
599C2×C4×D61—44no—
600C2×C4×D61—44no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×Dic122—22no—
606C2×Dic122—21no—
607C2×Dic122—21no—
608C2×Dic122—21no—
609C2×Dic122—21no—
610C2×Dic122—41no—
611C2×Dic122C2411yescharacteristic
612C2×Dic122C2411yescharacteristic
613C2×Dic122C2411yescharacteristic
614Q16×C61—41no—
615SD16×C61—41no—
616SD16×C61—41no—
617D8×C61—41no—
618C2×C8×C61—41no—
619C2×C8×C61—41no—
620C2×C8×C61C2411yescharacteristic
621C2×C8×C61C2411yescharacteristic
622C2×C8×C61C2411yescharacteristic
623C2×C8×C61C2411yescharacteristic
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C4⋊C4×C61C2411yescharacteristic
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C42×C61—21no—
643C42×C61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61C2×D411yescharacteristic
652C22⋊Dic61C2×D411yescharacteristic
653C22⋊Dic61C2×D411yescharacteristic
654C22⋊Dic61C2×D411yescharacteristic
655#11758202—22no—
656#11758202—41no—
657#11758202—41no—
658#11758201—22no—
659#11758201—41no—
660#11758201—41no—
661#11758200—22no—
662#11758200—41no—
663#11758200—41no—
664#11758199—22no—
665#11758199—41no—
666#11758199—41no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686#11758198C2×D411yescharacteristic
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61C2411yescharacteristic
692C4⋊Dic61C2411yescharacteristic
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196C2×D411yescharacteristic
706#11758196C2×D411yescharacteristic
707#11758196C2×D411yescharacteristic
708#11758196C2×D411yescharacteristic
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2411yescharacteristic
719C4×Dic61C2411yescharacteristic
720#11758194—41no—
721#11758194—41no—
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—22no—
727Dic244—41no—
728D488—22no—
729D488—41no—
730#11758190—22no—
731#11758190—22no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—41no—
741C23×C61—41no—
742C23×C61—41no—
743C23×C61C22×D411yescharacteristic
744C23×C61C22×D411yescharacteristic
745C23×C61C22×D411yescharacteristic
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—21no—
749C22×D61—41no—
750C22×D61—41no—
751C22×D61—41no—
752C22×D61—42no—
753C22×D61—42no—
754C22×D61—42no—
755C22×D61—42no—
756C22×D61—81no—
757C22×D61—81no—
758C22×D61C22×D411yescharacteristic
759C22×D61C22×D411yescharacteristic
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—21no—
763Q8×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—42no—
769D4×C61—42no—
770D4×C61—42no—
771D4×C61—81no—
772D4×C61—81no—
773D4×C61—81no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—41no—
787C2×C4×C61—41no—
788C2×C4×C61—41no—
789C2×C4×C61—42no—
790C2×C4×C61—81no—
791C2×C4×C61C22×D411yescharacteristic
792C2×C4×C61C22×D411yescharacteristic
793C2×C4×C61C22×D411yescharacteristic
794C2×C4×C61C2511yescharacteristic
795C22⋊D61—24no—
796C22⋊D61—22no—
797C22⋊D61—22no—
798C22⋊D61—41no—
799C22⋊D61—41no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—42no—
804C22⋊D61—42no—
805C22⋊D61—42no—
806C22⋊D61—42no—
807C22⋊D61—42no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C22⋊D61—81no—
812C22⋊D61—81no—
813C22⋊D61—81no—
814C2×Dic61—21no—
815C2×Dic61—22no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—41no—
821C2×Dic61—41no—
822C2×Dic61—42no—
823C2×Dic61—42no—
824C2×Dic61—42no—
825C2×Dic61—81no—
826C2×Dic61C22×D411yescharacteristic
827C2×Dic61C22×D411yescharacteristic
828C2×Dic61C22×D411yescharacteristic
829C2×Dic61C22×D411yescharacteristic
830C2×Dic61C22×D411yescharacteristic
831C2×Dic61C22×D411yescharacteristic
832D244—21no—
833D244—21no—
834D244—21no—
835D244—21no—
836D244—21no—
837D244—42no—
838D244—42no—
839D244—42no—
840D244—81no—
841D244—81no—
842D244—81no—
843D244H(5,𝔽2)12yes—
844C4×D61—24no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—21no—
848C4×D61—21no—
849C4×D61—41no—
850C4×D61—41no—
851C4×D61—42no—
852C4×D61—42no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—81no—
859C4×D61—81no—
860C4×D61—81no—
861Dic122—21no—
862Dic122—21no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—42no—
867Dic122—42no—
868Dic122—42no—
869Dic122—81no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61608—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—21no—
887C22×C61—21no—
888C22×C61—21no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61—82no—
896C22×C61C23×D411yescharacteristic
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—22no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—21no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—82no—
913C2×D61—84no—
914C2×D61—84no—
915C4×C61—21no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61C2×H(5,𝔽2)11yescharacteristic
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926Dic61—21no—
927Dic61—21no—
928Dic61—22no—
929Dic61—21no—
930Dic61—21no—
931Dic61—21no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61#57512yes—
937#3506—611no—
938D4×#41—611no—
939#3328—611no—
940#3324—611no—
941#3321—611no—
942#3321—611no—
943#3319—611no—
944#3319—611no—
945#3304—611no—
946#3302—611no—
947#3287—611no—
948#3284—611no—
949#3278—611no—
950#3274—611no—
951#3269—611no—
952#3269—611no—
953#3267—611no—
954#3267—611no—
955#3216—611no—
956#3207—611no—
957#3197—611no—
958#3197—611no—
959#3191—611no—
960#3191D6111yescharacteristic, complemented
961#3115—611no—
962#3107—611no—
963#3005—611no—
964#3005—611no—
965#3002—611no—
966#3002—611no—
967#2974—611no—
968C2×C61—41no—
969C2×C61—41no—
970C2×C61—41no—
971C2×C61—81no—
972C2×C61—81no—
973C2×C61#348411yescharacteristic
974C2×C61C2×#57511yescharacteristic
975C2×C61#358411yescharacteristic
976D61—41no—
977D61—41no—
978D61—42no—
979D61—81no—
980D61—81no—
981C22×#41—611no—
982C22×#41—611no—
983C2×#137—611no—
984C2×#137—611no—
985C2×AGL(1,ℤ/8)—611no—
986C2×AGL(1,ℤ/8)—611no—
987C2×#135—611no—
988C2×#135—611no—
989C2×#135—611no—
990C2×#135—611no—
991#559—1221no—
992#559—1221no—
993#556—611no—
994#556—611no—
995#555—611no—
996#555—611no—
997#553—1221no—
998#553—1221no—
999#550—611no—
1000#550—611no—
1001#550—611no—
1002D4×Q8—611no—
1003#548—611no—
1004#548—611no—
1005#547—611no—
1006#547—611no—
1007#547—611no—
1008#547—1221no—
1009#546—611no—
1010#546—611no—
1011#546—1221no—
1012#546—1221no—
1013D42—611no—
1014D42—1221no—
1015#538—1221no—
1016#538—1221no—
1017#535—1221no—
1018#533—611no—
1019#532—611no—
1020#532—611no—
1021#532—1221no—
1022#525—611no—
1023#525—611no—
1024#525—611no—
1025#525—611no—
1026#525—1221no—
1027#525—1221no—
1028#525C2×D6111yescharacteristic
1029#525C2×D6111yescharacteristic, complemented
1030#520—1221no—
1031C4×#41—611no—
1032C2×C4×D4—611no—
1033C2×C4×D4—1221no—
1034#497—611no—
1035#497—611no—
1036#493—611no—
1037#492—611no—
1038#489—611no—
1039#489—611no—
1040#487—611no—
1041#486—611no—
1042#485—611no—
1043#485—611no—
1044#485—611no—
1045#485—611no—
1046#485C2×D6111yescharacteristic, complemented
1047#485C2×D6111yescharacteristic, complemented
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#482—611no—
1052#482C2×D6111yescharacteristic, complemented
1053#482C2×D6111yescharacteristic, complemented
1054#475—611no—
1055#475—611no—
1056#474—611no—
1057#474—611no—
1058#470—611no—
1059#470—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#467—611no—
1067#467C2×D6111yescharacteristic, complemented
1068#466—611no—
1069#466C2×D6111yescharacteristic, complemented
1070#465—611no—
1071#465—611no—
1072#465C2×D6111yescharacteristic, complemented
1073#465C2×D6111yescharacteristic, complemented
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#463—611no—
1078#462—611no—
1079#462—611no—
1080#462—611no—
1081#461—611no—
1082#460—611no—
1083#460—611no—
1084#460—611no—
1085#459—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452C2×D6111yescharacteristic, complemented
1099#452C2×D6111yescharacteristic, complemented
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449—611no—
1109#449—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449C2×D6111yescharacteristic, complemented
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448—611no—
1120#447—611no—
1121#447—611no—
1122#442—611no—
1123#442—611no—
1124#440—611no—
1125#440—611no—
1126C4×Q16—611no—
1127C4×Q16—611no—
1128C4×SD16—611no—
1129C4×SD16—611no—
1130#436—611no—
1131#436—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435—611no—
1136C8×D4—611no—
1137C8×D4—611no—
1138#432—611no—
1139#431—611no—
1140#419—611no—
1141#419—611no—
1142#418—611no—
1143#418—611no—
1144#416—611no—
1145#416—611no—
1146#416—611no—
1147#416—611no—
1148#407—611no—
1149#407—611no—
1150C2×C22⋊C8—611no—
1151C2×C22⋊C8C2×D6111yescharacteristic, complemented
1152C61#6160811yescharacteristic, complemented, Sylow
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—1221no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—2442no—
1168C2×#41—2442no—
1169C2×#41—2442no—
1170C2×#41—2442no—
1171C2×#41C22×D6111yescharacteristic
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4—1221no—
1181C23×C4—611no—
1182C23×C4—1221no—
1183C23×C4—1221no—
1184C23×C4C22×D6111yescharacteristic
1185#137—2442no—
1186#137—2442no—
1187AGL(1,ℤ/8)—2442no—
1188AGL(1,ℤ/8)—2442no—
1189#135—2442no—
1190#135—2442no—
1191#135—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16—611no—
1198C2×Q16C22×D6111yescharacteristic
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16C22×D6111yescharacteristic
1210C2×SD16C22×D6111yescharacteristic
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8C22×D6111yescharacteristic
1217C2×M16—611no—
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16—611no—
1221C22×C8—611no—
1222C22×C8—611no—
1223C22×C8C22×D6111yescharacteristic
1224C22×C8C22×D6111yescharacteristic
1225C4⋊Q8—611no—
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—611no—
1229C4⋊Q8—1221no—
1230#127—611no—
1231#127—611no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#125—1221no—
1240#124—611no—
1241#124—611no—
1242#124—1221no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124—1221no—
1251#123—21no—
1252#123—21no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8C22×D6111yescharacteristic
1277C22⋊Q8C22×D6111yescharacteristic
1278C22⋊Q8C22×D6111yescharacteristic
1279C22⋊Q8C22×D6111yescharacteristic
1280#121—611no—
1281#121—611no—
1282#121—611no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
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#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121C22×D6111yescharacteristic
1306#121C22×D6111yescharacteristic
1307#121C22×D6111yescharacteristic
1308#121C22×D6111yescharacteristic
1309#120—21no—
1310#120—21no—
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315#120—1221no—
1316#120—1221no—
1317#120—1221no—
1318#120—1221no—
1319C4×Q8—611no—
1320C4×Q8—611no—
1321C4×Q8—611no—
1322C4×Q8—611no—
1323C4×Q8—1221no—
1324C4×Q8—1221no—
1325C4×Q8—1221no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—611no—
1331C4×D4—611no—
1332C4×D4—611no—
1333C4×D4—611no—
1334C4×D4—611no—
1335C4×D4—611no—
1336C4×D4—611no—
1337C4×D4—611no—
1338C4×D4—611no—
1339C4×D4—611no—
1340C4×D4—611no—
1341C4×D4—611no—
1342C4×D4—1221no—
1343C4×D4—1221no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347C4×D4—1221no—
1348C4×D4—1221no—
1349C4×D4—1221no—
1350C4×D4—1221no—
1351C4×D4—1221no—
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—
1361#117—611no—
1362#117—611no—
1363#117—611no—
1364#117—1221no—
1365#117—1221no—
1366#117—1221no—
1367#117—1221no—
1368#117C22×D6111yescharacteristic
1369#117C22×D6111yescharacteristic
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—1221no—
1372C2×C4⋊C4—1221no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—611no—
1375C2×C22⋊C4—611no—
1376C2×C22⋊C4—1221no—
1377C2×C22⋊C4—1221no—
1378C2×C42—611no—
1379C2×C42—1221no—
1380#107—611no—
1381#107—611no—
1382#107C22×D6111yescharacteristic
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386#106C22×D6111yescharacteristic
1387#106C22×D6111yescharacteristic
1388C4⋊C8—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8—611no—
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8C22×D6111yescharacteristic
1433C22⋊C8C22×D6111yescharacteristic
1434C22⋊C8C22×D6111yescharacteristic
1435C22⋊C8C22×D6111yescharacteristic
1436#97—611no—
1437#97—611no—
1438C4×C8—611no—
1439C4×C8—611no—
1440C24—611no—
1441C24—1221no—
1442C24—1221no—
1443C24D4×D6111yescharacteristic
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—1222no—
1449#41—1222no—
1450#41—1222no—
1451#41—1222no—
1452#41—1222no—
1453#41—1222no—
1454#41—2441no—
1455#41—2441no—
1456#41—2441no—
1457#41—2441no—
1458#41—2441no—
1459#41—2441no—
1460#41—2444no—
1461#41—2444no—
1462#41—2444no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2441no—
1467#41—2441no—
1468#41—2444no—
1469#41—2441no—
1470#41—2444no—
1471C2×Q8—611no—
1472C2×Q8—611no—
1473C2×Q8—611no—
1474C2×Q8—1221no—
1475C2×Q8—1221no—
1476C2×Q8—1221no—
1477C2×Q8—1222no—
1478C2×Q8—1221no—
1479C2×Q8—1222no—
1480C2×Q8—2441no—
1481C2×Q8—2441no—
1482C2×Q8C23×D6111yescharacteristic
1483C2×Q8C23×D6111yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—611no—
1495C2×D4—611no—
1496C2×D4—611no—
1497C2×D4—1222no—
1498C2×D4—1221no—
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—1222no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
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—2441no—
1521C2×D4—2441no—
1522C2×D4—2442no—
1523C2×D4—2444no—
1524C2×D4—2444no—
1525C2×D4—2444no—
1526C2×D4C23×D6111yescharacteristic
1527C2×D4C23×D6111yescharacteristic
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—41no—
1531C22×C4—41no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
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—1221no—
1553C22×C4—1221no—
1554C22×C4—2441no—
1555C22×C4—2441no—
1556C22×C4—2444no—
1557C22×C4—2444no—
1558C22×C4D4×D6111yescharacteristic
1559C22×C4D4×D6111yescharacteristic
1560C22×C4D4×D6111yescharacteristic
1561C22×C4C23×D6111yescharacteristic
1562C22×C4C23×D6111yescharacteristic
1563C22×C4C23×D6111yescharacteristic
1564Q16—41no—
1565Q16—1222no—
1566Q16—1222no—
1567Q16—2441no—
1568Q16—2441no—
1569Q16—2441no—
1570SD16—41no—
1571SD16—41no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—1222no—
1575SD16—1222no—
1576SD16—2441no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582D8—41no—
1583D8—1222no—
1584D8—1222no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588M16—2441no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592C2×C8—41no—
1593C2×C8—41no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—2441no—
1599C2×C8—2441no—
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4C23×D6111yescharacteristic
1631C4⋊C4C23×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—611no—
1650C22⋊C4—611no—
1651C22⋊C4—611no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C42—21no—
1676C42—21no—
1677C42—611no—
1678C42—611no—
1679C42—611no—
1680C42—611no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42—1221no—
1688C23—21no—
1689C23—21no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—611no—
1694C23—611no—
1695C23—1221no—
1696C23—1221no—
1697C23—1221no—
1698C23—4881no—
1699C23—4881no—
1700C23—2441no—
1701C23—2441no—
1702C23—2441no—
1703C23—2442no—
1704C23—2442no—
1705C23—2442no—
1706C23—2442no—
1707C23C2×D4×D6111yescharacteristic
1708C23C2×D4×D6111yescharacteristic
1709C23C2×D4×D6111yescharacteristic
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—612no—
1715Q8—1221no—
1716Q8—1221no—
1717Q8—1221no—
1718Q8—1221no—
1719Q8—1221no—
1720Q8—4881no—
1721Q8—2442no—
1722Q8—2442no—
1723Q8—2442no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—612no—
1735D4—1222no—
1736D4—1222no—
1737D4—1224no—
1738D4—1221no—
1739D4—1221no—
1740D4—1221no—
1741D4—1221no—
1742D4—1221no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—2442no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2441no—
1758D4—2441no—
1759D4—2442no—
1760D4—2442no—
1761D4—2442no—
1762D4—2442no—
1763D4—2442no—
1764D4—2442no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—611no—
1783C2×C4—611no—
1784C2×C4—611no—
1785C2×C4—611no—
1786C2×C4—611no—
1787C2×C4—611no—
1788C2×C4—1224no—
1789C2×C4—1222no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—4881no—
1802C2×C4—4881no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2442no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2441no—
1813C2×C4—2441no—
1814C2×C4—2442no—
1815C2×C4—2442no—
1816C2×C4—2442no—
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C24×D6111yescharacteristic
1821C8—21no—
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—1221no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—82no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—1221no—
1850C22—1222no—
1851C22—1221no—
1852C22—4884no—
1853C22—4882no—
1854C22—4884no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22C22×D4×D6111yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—612no—
1874C4—1221no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1221no—
1879C4—1222no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4H(5,𝔽2)×D6111yescharacteristic
1885C4H(5,𝔽2)×D6111yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—41no—
1889C2—81no—
1890C2—81no—
1891C2—4881no—
1892C2—4881no—
1893C2—2441no—
1894C2—2441no—
1895C2—2442no—
1896C2#2145945111yescharacteristic
1897C2#575×D6111yescharacteristic
1898C2#2146058811yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3191C2
socleC22×C61C23×D4
hypercenter#3191D61
hypocenterC61#61608
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #21459662C2semidirect
2. #21459302C2semidirect
3. #21458100C2semidirect
4. #21458048C2semidirect
5. #21458011C2semidirect
6. #21458008C2semidirect
7. #21457981C2semidirect
8. #21457978C2semidirect
9. #21457753C2semidirect
10. #21457731C2semidirect
11. #21457576C2semidirect
12. #21457546C2semidirect
13. #21457478C2semidirect
14. #21457432C2semidirect
15. #21457372C2semidirect
16. #21457371C2semidirect
17. #21457347C2semidirect
18. #21457341C2semidirect
19. #21456827C2semidirect
20. #21456750C2semidirect
21. #21456659C2semidirect
22. #21456656C2semidirect
23. #21456614C2semidirect
24. #21455965C2semidirect
25. #21455885C2semidirect
26. #21455062C2semidirect
27. #21455059C2semidirect
28. #21455041C2semidirect
29. #21455034C2semidirect
30. #21454850C2semidirect
31. C61×#3191C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519807C22semidirect
36. C2×#14519804C22semidirect
37. C2×#14519802C22semidirect
38. C2×#14519799C22semidirect
39. C2×#14519799C22semidirect
40. C2×#14519798C22semidirect
41. C2×#14519796C22semidirect
44. #16840483C22semidirect
46. #16840476C22semidirect
47. #16840475C22semidirect
52. #16840430C22semidirect
57. #16840414C22semidirect
58. #16840411C22semidirect
69. #16840314C22semidirect
72. #16840307C22semidirect
73. #16840275C22semidirect
75. #16840273C22semidirect
76. #16840272C22semidirect
83. #16840155C22semidirect
84. #16840153C22semidirect
85. #16840137C22semidirect
86. #16840133C22semidirect
87. #16840123C22semidirect
88. #16840120C22semidirect
89. #16840111C22semidirect
90. #16840107C22semidirect
91. #16840105C22semidirect
92. #16840105C22semidirect
93. #16840103C22semidirect
94. #16840100C22semidirect
95. #16840088C22semidirect
96. #16840088C22semidirect
97. #16840086C22semidirect
98. #16840083C22semidirect
99. #16840046C22semidirect
100. #16840046C22semidirect
101. #16840041C22semidirect
102. #16840041C22semidirect
103. #16840021C22semidirect
104. #16840018C22semidirect
105. #16840014C22semidirect
106. #16840013C22semidirect
107. #16840010C22semidirect
108. #16840009C22semidirect
109. #16840007C22semidirect
110. #16840006C22semidirect
111. #16840002C22semidirect
112. #16839999C22semidirect
113. #16839994C22semidirect
114. #16839992C22semidirect
115. #16839980C22semidirect
116. #16839979C22semidirect
117. #16839976C22semidirect
118. #16839975C22semidirect
119. #16839971C22semidirect
120. #16839971C22semidirect
121. #16839970C22semidirect
122. #16839966C22semidirect
123. #16839961C22semidirect
124. #16839961C22semidirect
125. #16839960C22semidirect
126. #16839956C22semidirect
127. #16839927C22semidirect
129. #16839926C22semidirect
130. #16839925C22semidirect
131. #16839924C22semidirect
132. #16839923C22semidirect
134. #16839922C22semidirect
135. #16839922C22semidirect
136. #16839922C22semidirect
137. #16839922C22semidirect
138. #16839921C22semidirect
139. #16839920C22semidirect
140. #16839919C22semidirect
141. #16839915C22semidirect
142. #16839914C22semidirect
143. #16839910C22semidirect
144. #16839910C22semidirect
146. #16839909C22semidirect
147. #16839908C22semidirect
148. #16839908C22semidirect
149. #16839907C22semidirect
151. #16839905C22semidirect
152. #16839905C22semidirect
153. #16839905C22semidirect
154. #16839905C22semidirect
155. #16839903C22semidirect
156. #16839899C22semidirect
157. #16839898C22semidirect
158. #16839894C22semidirect
159. #16839873C22semidirect
160. #16839871C22semidirect
161. #16839861C22semidirect
162. #16839859C22semidirect
163. #16839856C22semidirect
164. #16839854C22semidirect
165. #16839849C22semidirect
166. #16839847C22semidirect
169. #16839836C22semidirect
170. #16839836C22semidirect
171. #16839833C22semidirect
172. #16839833C22semidirect
173. C8×C22⋊D61C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839816C22semidirect
176. #16839812C22semidirect
177. #16839770C22semidirect
178. #16839769C22semidirect
179. #16839766C22semidirect
180. #16839765C22semidirect
181. #16839759C22semidirect
182. #16839759C22semidirect
183. #16839757C22semidirect
184. #16839755C22semidirect
185. #16839726C22semidirect
186. #16839724C22semidirect
187. C22⋊C8×D61C22semidirect
189. C61×#525C22semidirect
190. C61×#485C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#482C22semidirect
194. C61×#467C22semidirect
195. C61×#466C22semidirect
196. C61×#465C22semidirect
197. C61×#465C22semidirect
198. C61×#452C22semidirect
199. C61×#452C22semidirect
200. C61×#449C22semidirect
201. C61×#449C22semidirect
202. C2×C22⋊C8×C61C22semidirect
960. #3191D61semidirect
1029. #525C2×D61semidirect
1046. #485C2×D61semidirect
1047. #485C2×D61semidirect
1052. #482C2×D61semidirect
1053. #482C2×D61semidirect
1067. #467C2×D61semidirect
1069. #466C2×D61semidirect
1072. #465C2×D61semidirect
1073. #465C2×D61semidirect
1098. #452C2×D61semidirect
1099. #452C2×D61semidirect
1116. #449C2×D61semidirect
1117. #449C2×D61semidirect
1151. C2×C22⋊C8C2×D61semidirect
1152. C61#61608semidirect

Maximal subgroups

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

subgroupindex
#214596622
#214593022
#214581002
#214580482
#214580112
#214580082
#214579812
#214579782
#214577532
#214577312
#214575762
#214575462
#214574782
#214574322
#214573722
#214573712
#214573472
#214573412
#214568272
#214567502
#214566592
#214566562
#214566142
#214559652
#214558852
#214550622
#214550592
#214550412
#214550342
#214548502
C61×#31912
#6160861