Finite Group Databasebeta

← #30557020

Subgroups — #30557020

Order 15616.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459385C211yesmaximal, characteristic, complemented
2#546×D61C211yesmaximal, characteristic, complemented
3#21458030C211yesmaximal, characteristic, complemented
4#21458028C211yesmaximal, characteristic, complemented
5#21458023C211yesmaximal, characteristic, complemented
6#21458021C211yesmaximal, characteristic, complemented
7#21457974C211yesmaximal, characteristic, complemented
8#21457972C211yesmaximal, characteristic, complemented
9#21457894C211yesmaximal, characteristic, complemented
10#21457862C211yesmaximal, characteristic, complemented
11#21457860C211yesmaximal, characteristic, complemented
12#21457782C211yesmaximal, characteristic, complemented
13#21457780C211yesmaximal, characteristic, complemented
14#21457667C211yesmaximal, characteristic, complemented
15#21457665C211yesmaximal, characteristic, complemented
16#21457660C211yesmaximal, characteristic, complemented
17#21457658C211yesmaximal, characteristic, complemented
18#21456204C211yesmaximal, characteristic, complemented
19#21455764C211yesmaximal, characteristic, complemented
20#21455754C211yesmaximal, characteristic, complemented
21#21455611C211yesmaximal, characteristic, complemented
22#21455446C211yesmaximal, characteristic, complemented
23#21455433C211yesmaximal, characteristic, complemented
24#21455310C211yesmaximal, characteristic, complemented
25#21455062C211yesmaximal, characteristic, complemented
26#21455047C211yesmaximal, characteristic, complemented
27#21454624C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30C2×#16839765C211yesmaximal, characteristic, complemented
31C61×#3314C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519804C2211yescharacteristic
37C22×#11758189C2211yescharacteristic
38C2×M16×D61C2211yescharacteristic, complemented
39#16840485C2211yescharacteristic, complemented
40#16840478C2211yescharacteristic, complemented
41#16840460C2211yescharacteristic, complemented
42#16840460C2211yescharacteristic, complemented
43#16840454C2211yescharacteristic, complemented
44#16840454C2211yescharacteristic, complemented
45#16840450—21no—
46#16840439—21no—
47#16840439—21no—
48#16840416C2211yescharacteristic, complemented
49#16840409C2211yescharacteristic
50#16840408C2211yescharacteristic
51#16840407—21no—
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840405C2211yescharacteristic
55#16840404—21no—
56#16840403C2211yescharacteristic
57#16840402—21no—
58#16840401—21no—
59#16840400C2211yescharacteristic
60#16840399—21no—
61#16840317C2211yescharacteristic, complemented
62#16840298—21no—
63#16840298—21no—
64#16840297—21no—
65#124×D61C2211yescharacteristic
66#16840275C2211yescharacteristic
67#16840275C2211yescharacteristic, complemented
68#123×D61—21no—
69C22⋊Q8×D61C2211yescharacteristic
70#121×D61—21no—
71#121×D61C2211yescharacteristic
72#120×D61—21no—
73C4×#11758226C2211yescharacteristic, complemented
74C4×#11758224—21no—
75C4×D4×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77C2×#14519735C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79C2×C22⋊C4×D61—21no—
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840075C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840053C2211yescharacteristic, complemented
106#16840052C2211yescharacteristic, complemented
107#16840039C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840017C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840009C2211yescharacteristic, complemented
115#16840001C2211yescharacteristic, complemented
116#16839999C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839994C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic, complemented
120#16839991C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839978C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839974C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839922C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839912C2211yescharacteristic, complemented
133#16839911C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839910C2211yescharacteristic, complemented
136#16839909C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839898C2211yescharacteristic, complemented
140#16839897C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839875C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic, complemented
145#16839860C2211yescharacteristic, complemented
146SD16×Dic61C2211yescharacteristic, complemented
147#16839847C2211yescharacteristic, complemented
148#16839844C2211yescharacteristic, complemented
149#16839842C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839803C2211yescharacteristic, complemented
159#16839803C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839765C2211yescharacteristic
167#16839765C2211yescharacteristic
168#16839765C2211yescharacteristic
169#16839765C2211yescharacteristic
170#16839765C2211yescharacteristic, complemented
171#16839765C2211yescharacteristic, complemented
172#16839765C2211yescharacteristic, complemented
173#16839765C2211yescharacteristic, complemented
174#16839764C2211yescharacteristic, complemented
175#16839763C2211yescharacteristic, complemented
176#16839762C2211yescharacteristic, complemented
177#16839761C2211yescharacteristic, complemented
178#16839757C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519699C2211yescharacteristic, complemented
183C2×#14519698C2211yescharacteristic, complemented
184C2×#14519697C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic
186#16839724C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic, complemented
188C61×#554C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C24×D61—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224C2311yescharacteristic
211#41×D61—24no—
212#41×D61—42no—
213C2×Q8×D61C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C22×C22⋊D61—21no—
216C2×D4×D61—24no—
217C2×D4×D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—42no—
222C2×D4×D61D411yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C22×C4×D61—21no—
228C22×C4×D61—21no—
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519809—42no—
232#14519804—24no—
233#14519804—42no—
234C2×#11758202C2311yescharacteristic, complemented
235C2×#11758190C2311yescharacteristic, complemented
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic, complemented
239C2×D488C2311yescharacteristic
240C2×D488C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C2×#11758194C2311yescharacteristic, complemented
244C2×#11758189—42no—
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C2×#11758189C2311yescharacteristic
251M16×D61—42no—
252C22×#92418C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic, complemented
254C2×C8×D61C2311yescharacteristic, complemented
255#14519777C2311yescharacteristic, complemented
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519768—21no—
263#14519768—21no—
264#14519768C2311yescharacteristic, complemented
265#14519768C2311yescharacteristic, complemented
266#14519766—21no—
267#14519766—21no—
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519761—21no—
281#14519761—21no—
282#14519761—21no—
283#14519761—21no—
284#14519761—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519757—21no—
290#14519757—21no—
291#14519757C2311yescharacteristic
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519754—21no—
295#14519753—21no—
296#14519753C2311yescharacteristic
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic, complemented
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic, complemented
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519751C2311yescharacteristic, complemented
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519748—21no—
317#14519748C2311yescharacteristic
318#14519747—21no—
319#14519747—21no—
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519746—21no—
324#14519745—21no—
325#14519745—21no—
326#14519745—21no—
327Q8×Dic61—21no—
328Q8×Dic61C2311yescharacteristic, complemented
329C4×Dic122—21no—
330#14519742—21no—
331C4×D244—21no—
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic, complemented
335D4×Dic61D411yescharacteristic
336D4×Dic61C2311yescharacteristic
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739D411yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic, complemented
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737D411yescharacteristic
352#14519737D411yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic, complemented
365#14519735C2311yescharacteristic, complemented
366#14519733—21no—
367#14519733—21no—
368C2×C4⋊Dic61C2311yescharacteristic
369C2×C4⋊Dic61C2311yescharacteristic, complemented
370C4⋊C4×D61—21no—
371C4⋊C4×D61D411yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C2×C22⋊Dic61—21no—
374C2×#11758198—21no—
375C2×#11758198—21no—
376C2×#11758198—21no—
377C2×#11758198—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C2×C4×Dic61—21no—
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519710C2311yescharacteristic, complemented
394#14519710C2311yescharacteristic, complemented
395#14519710C2311yescharacteristic, complemented
396#14519709C2311yescharacteristic, complemented
397#14519709C2311yescharacteristic, complemented
398#14519709C2311yescharacteristic, complemented
399#14519708C2311yescharacteristic, complemented
400#14519708C2311yescharacteristic, complemented
401#14519708C2311yescharacteristic, complemented
402C4⋊#92418C2311yescharacteristic, complemented
403#14519706C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519702C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519702C2311yescharacteristic, complemented
408#14519701C2311yescharacteristic, complemented
409#14519701C2311yescharacteristic, complemented
410#14519701C2311yescharacteristic, complemented
411#14519701C2311yescharacteristic, complemented
412#14519700C2311yescharacteristic, complemented
413#14519700C2311yescharacteristic, complemented
414#14519700C2311yescharacteristic, complemented
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic, complemented
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, complemented
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic, complemented
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic, complemented
440#14519689C2311yescharacteristic, complemented
441#14519688C2311yescharacteristic, complemented
442C8×Dic61C2311yescharacteristic, complemented
443C8×Dic61C2311yescharacteristic, complemented
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic, complemented
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic, complemented
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic, complemented
452#125×C61—21no—
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic, complemented
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61C2311yescharacteristic, complemented
464C4×D4×C61—21no—
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C2×C4⋊C4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic, complemented
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic, complemented
471#107×C61C2311yescharacteristic, complemented
472#107×C61C2311yescharacteristic, complemented
473C4⋊C8×C61C2311yescharacteristic, complemented
474#103×C61C2311yescharacteristic, complemented
475#103×C61C2311yescharacteristic, complemented
476#103×C61C2311yescharacteristic, complemented
477#103×C61C2311yescharacteristic, complemented
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic, complemented
486#97×C61C2311yescharacteristic, complemented
487C24×C61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—44no—
494C23×D61—44no—
495C23×D61—82no—
496C23×D61C2×D411yescharacteristic
497C23×D61C2×D411yescharacteristic
498#41×C61—22no—
499#41×C61—41no—
500C2×Q8×C61—21no—
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×D4×C61—22no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—41no—
508C2×D4×C61C2×D411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C2×D4×C61C2411yescharacteristic
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
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—44no—
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61C2×D411yescharacteristic
535C22×Dic61C2×D411yescharacteristic
536#11758226—22no—
537#11758226—22no—
538#11758226—22no—
539#11758226—41no—
540Q8×D61—22no—
541Q8×D61—22no—
542#11758224—22no—
543#11758224—41no—
544#11758224—44no—
545#11758224—44no—
546D4×D61—22no—
547D4×D61—22no—
548D4×D61—22no—
549D4×D61—22no—
550D4×D61—22no—
551D4×D61—41no—
552D4×D61—41no—
553D4×D61—44no—
554D4×D61—44no—
555D4×D61—42no—
556D4×D61—44no—
557D4×D61—82no—
558D4×D61#4114yescomplemented
559#11758222—22no—
560#11758222—41no—
561#11758222—44no—
562C2×D244—22no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244—21no—
567C2×D244—21no—
568C2×D244—21no—
569C2×D244—41no—
570C2×D244C2×D411yescharacteristic
571C2×D244C2411yescharacteristic
572C2×D244C2411yescharacteristic
573C2×D244C2411yescharacteristic
574C2×C4×D61—22no—
575C2×C4×D61—22no—
576C2×C4×D61—22no—
577C2×C4×D61—22no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—44no—
588C2×C4×D61—82no—
589C2×C4×D61C2×D411yescharacteristic
590C2×C4×D61C2×D411yescharacteristic
591C2×C4×D61C2×D411yescharacteristic
592C2×C4×D61C2×D411yescharacteristic
593C2×C4×D61C2×D411yescharacteristic
594C2×C4×D61C2×D411yescharacteristic
595C2×C4×D61C2411yescharacteristic
596C2×C4×D61C2411yescharacteristic
597C2×C4×D61C2411yescharacteristic
598C2×Dic122—21no—
599C2×Dic122—21no—
600C2×Dic122C2411yescharacteristic
601Q16×C61—41no—
602SD16×C61—22no—
603SD16×C61—41no—
604M16×C61—41no—
605C2×C8×C61—41no—
606C2×C8×C61C2411yescharacteristic
607C2×C8×C61C2411yescharacteristic
608C2×C8×C61C2411yescharacteristic
609C2×C8×C61C2411yescharacteristic
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61C2×D411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61C2×D411yescharacteristic
630C22⋊C4×C61C2×D411yescharacteristic
631C42×C61—21no—
632C42×C61C2411yescharacteristic
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—41no—
641#11758201—22no—
642#11758201—41no—
643#11758201—41no—
644#11758199—22no—
645#11758199—41no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
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#11758198C2×D411yescharacteristic
672#11758198C2×D411yescharacteristic
673#11758198C2×D411yescharacteristic
674#11758198C2×D411yescharacteristic
675C4⋊Dic61—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61—21no—
681C4⋊Dic61—21no—
682C4⋊Dic61C2×D411yescharacteristic
683C4⋊Dic61C2411yescharacteristic
684C4⋊Dic61C2411yescharacteristic
685C4⋊Dic61C2411yescharacteristic
686C4⋊Dic61C2411yescharacteristic
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196C2×D411yescharacteristic
695#11758196C2×D411yescharacteristic
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61—21no—
704C4×Dic61C2×D411yescharacteristic
705C4×Dic61C2×D411yescharacteristic
706C4×Dic61C2411yescharacteristic
707#11758194—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713D488—22no—
714D488—41no—
715#11758190—41no—
716#11758189—22no—
717#11758189—22no—
718#11758189—22no—
719#11758189—22no—
720#11758189—41no—
721#11758189—41no—
722C8×D61—41no—
723C8×D61—41no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—42no—
727C23×C61—42no—
728C23×C61—81no—
729C23×C61C22×D411yescharacteristic
730C23×C61C22×D411yescharacteristic
731C22×D61—22no—
732C22×D61—21no—
733C22×D61—22no—
734C22×D61—24no—
735C22×D61—22no—
736C22×D61—21no—
737C22×D61—21no—
738C22×D61—41no—
739C22×D61—41no—
740C22×D61—41no—
741C22×D61—42no—
742C22×D61—42no—
743C22×D61—42no—
744C22×D61—42no—
745C22×D61—42no—
746C22×D61—42no—
747C22×D61—42no—
748C22×D61—42no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61—81no—
753C22×D61—81no—
754C22×D61—81no—
755C22×D61—816no—
756C22×D61C22×D411yescharacteristic
757C22×D61C22×D411yescharacteristic
758C22×D61C22×D411yescharacteristic
759Q8×C61—21no—
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—21no—
763Q8×C61—81no—
764D4×C61—22no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—42no—
769D4×C61—42no—
770D4×C61—81no—
771D4×C61C2×#4112yes—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
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—42no—
783C2×C4×C61—81no—
784C2×C4×C61—81no—
785C2×C4×C61—81no—
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C2511yescharacteristic
791C22⋊D61—22no—
792C22⋊D61—24no—
793C22⋊D61—41no—
794C22⋊D61—42no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C2×Dic61—22no—
804C2×Dic61—22no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—42no—
811C2×Dic61—42no—
812C2×Dic61—42no—
813C2×Dic61—81no—
814C2×Dic61C22×D411yescharacteristic
815C2×Dic61C22×D411yescharacteristic
816C2×Dic61C22×D411yescharacteristic
817C2×Dic61C22×D411yescharacteristic
818C2×Dic61C22×D411yescharacteristic
819D244—21no—
820D244—21no—
821D244—21no—
822D244—21no—
823D244—21no—
824D244—41no—
825D244—42no—
826D244—42no—
827D244—42no—
828D244—81no—
829D244—81no—
830D244—81no—
831D244C2×#4112yes—
832C4×D61—22no—
833C4×D61—22no—
834C4×D61—21no—
835C4×D61—21no—
836C4×D61—21no—
837C4×D61—21no—
838C4×D61—22no—
839C4×D61—22no—
840C4×D61—41no—
841C4×D61—41no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—42no—
847C4×D61—42no—
848C4×D61—81no—
849C4×D61—81no—
850C4×D61—81no—
851C4×D61C2×#4112yes—
852C4×D61H(5,𝔽2)12yes—
853Dic122—21no—
854Dic122—21no—
855Dic122—42no—
856Dic122—42no—
857C8×C61—21no—
858C8×C61—21no—
859C8×C61—21no—
860C8×C61—21no—
861#92418—21no—
862#92418—21no—
863#92418—21no—
864#92418—21no—
865#61156—611nomaximal, Sylow
866C22×C61—21no—
867C22×C61—21no—
868C22×C61—21no—
869C22×C61—21no—
870C22×C61—22no—
871C22×C61—21no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—84no—
878C22×C61#57512yes—
879C22×C61C23×D411yescharacteristic
880C2×D61—21no—
881C2×D61—21no—
882C2×D61—21no—
883C2×D61—21no—
884C2×D61—21no—
885C2×D61—21no—
886C2×D61—22no—
887C2×D61—21no—
888C2×D61—21no—
889C2×D61—44no—
890C2×D61—48no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—82no—
900C2×D61—84no—
901C2×D61—84no—
902C2×D61—84no—
903C2×D61—84no—
904C2×D61#54612yes—
905C4×C61—21no—
906C4×C61—21no—
907C4×C61—21no—
908C4×C61—21no—
909C4×C61—41no—
910C4×C61—41no—
911C4×C61—41no—
912C4×C61—41no—
913C4×C61—41no—
914C4×C61—41no—
915C4×C61C22×#4111yescharacteristic
916C4×C61C2×H(5,𝔽2)11yescharacteristic
917Dic61—21no—
918Dic61—21no—
919Dic61—21no—
920Dic61—21no—
921Dic61—41no—
922Dic61—41no—
923Dic61—41no—
924Dic61—41no—
925Dic61—41no—
926Dic61#54612yes—
927#3475—611no—
928C2×#546—611no—
929#3323—611no—
930#3323—611no—
931#3322—611no—
932#3322—611no—
933#3319—611no—
934#3319—611no—
935#3314—611no—
936#3314D6111yescharacteristic, complemented
937#3311—611no—
938#3311—611no—
939#3306—611no—
940#3306—611no—
941#3297—611no—
942#3297—611no—
943#3296—611no—
944#3296—611no—
945#3140—611no—
946#3095—611no—
947#3094—611no—
948#3077—611no—
949#3056—611no—
950#3055—611no—
951#3040—611no—
952#3005—611no—
953#3003—611no—
954C4×AGL(1,ℤ/8)—611no—
955D4×M16—611no—
956#2896—611no—
957C2×#418—611no—
958C2×C61—22no—
959C2×C61—42no—
960C2×C61—41no—
961C2×C61—81no—
962C2×C61C2×#54611yescharacteristic
963C2×C61C2×#57511yescharacteristic
964C2×C61#358511yescharacteristic
965D61—22no—
966D61—41no—
967D61—41no—
968D61—42no—
969D61—81no—
970D61—81no—
971C22×#41—611no—
972C23×D4—611no—
973C2×#137—611no—
974C2×AGL(1,ℤ/8)—611no—
975C2×AGL(1,ℤ/8)—611no—
976C22×M16—611no—
977C22×M16—611no—
978#556—611no—
979#555—611no—
980#554C2×D6111yescharacteristic, complemented
981#553—611no—
982#553—611no—
983#552—611no—
984#552—611no—
985#552—1221no—
986#551—1221no—
987#551—1221no—
988#547—611no—
989#546—611no—
990#546—611no—
991#546—611no—
992#546—611no—
993#546—611no—
994#546—611no—
995#546—611no—
996#546—1221no—
997#546—1221no—
998#546—1221no—
999#546—1221no—
1000#546—1221no—
1001#546C2×D6111yescharacteristic
1002#533—611no—
1003#529—1221no—
1004#529—1221no—
1005#529—1221no—
1006C2×#124—611no—
1007#525—611no—
1008#525—611no—
1009C2×#123—1221no—
1010C2×C22⋊Q8—611no—
1011C2×#121—611no—
1012C2×#121—1221no—
1013C2×#120—1221no—
1014C4×#41—611no—
1015C4×#41—1221no—
1016C2×C4×D4—611no—
1017C2×C4×D4—611no—
1018C2×#117—611no—
1019C2×#117—611no—
1020C22×C22⋊C4—1221no—
1021#489—611no—
1022#489—611no—
1023#489—611no—
1024#489C2×D6111yescharacteristic, complemented
1025#488—611no—
1026#488—611no—
1027#488—611no—
1028#488—611no—
1029#485—611no—
1030#485—611no—
1031#485—611no—
1032#485—611no—
1033#484—611no—
1034#484C2×D6111yescharacteristic, complemented
1035#483—611no—
1036#483—611no—
1037#482—611no—
1038#482—611no—
1039#482—611no—
1040#482—611no—
1041#481—611no—
1042#481—611no—
1043#480—611no—
1044#480C2×D6111yescharacteristic, complemented
1045#478—611no—
1046#478—611no—
1047#478—611no—
1048#478—611no—
1049#476—611no—
1050#476—611no—
1051#474—611no—
1052#474C2×D6111yescharacteristic, complemented
1053#470—611no—
1054#470—611no—
1055#469—611no—
1056#469—611no—
1057#468—611no—
1058#468—611no—
1059#468—611no—
1060#468C2×D6111yescharacteristic, complemented
1061#467—611no—
1062#467C2×D6111yescharacteristic, complemented
1063#466—611no—
1064#466—611no—
1065#465—611no—
1066#465—611no—
1067#465—611no—
1068#465—611no—
1069#464—611no—
1070#464—611no—
1071#464—611no—
1072#464C2×D6111yescharacteristic, complemented
1073#463—611no—
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#452—611no—
1078#452—611no—
1079#452—611no—
1080#452C2×D6111yescharacteristic, complemented
1081#450—611no—
1082#450—611no—
1083#450—611no—
1084#450C2×D6111yescharacteristic, complemented
1085#449—611no—
1086#449—611no—
1087#449—611no—
1088#449—611no—
1089#447—611no—
1090#447—611no—
1091#447—611no—
1092#447—611no—
1093#442—611no—
1094#442—611no—
1095#440—611no—
1096#440C2×D6111yescharacteristic, complemented
1097C4×SD16—611no—
1098C4×SD16—611no—
1099C4×D8—611no—
1100C4×D8—611no—
1101#436—611no—
1102#436—611no—
1103#435—611no—
1104#435—611no—
1105#435—611no—
1106#435C2×D6111yescharacteristic, complemented
1107C8×D4—611no—
1108C8×D4—611no—
1109#428—611no—
1110#428—611no—
1111#428—611no—
1112#423—611no—
1113#419—611no—
1114#419—611no—
1115#419—611no—
1116#418—611no—
1117#418—611no—
1118#418—611no—
1119#418—611no—
1120#418—611no—
1121#418—611no—
1122#418—611no—
1123#418—611no—
1124#418—611no—
1125#418—611no—
1126#417—611no—
1127#417—611no—
1128#417—611no—
1129#417—611no—
1130#417C2×D6111yescharacteristic, complemented
1131#416—611no—
1132#416—611no—
1133#416—611no—
1134#416—611no—
1135C2×#102—611no—
1136C2×#102—611no—
1137C2×#102—611no—
1138C2×#102C2×D6111yescharacteristic, complemented
1139#407—611no—
1140#407—611no—
1141C4×M16—611no—
1142C61#6115611yescharacteristic, complemented, Sylow
1143C25—1221no—
1144C2×#41—611no—
1145C2×#41—611no—
1146C2×#41—611no—
1147C2×#41—611no—
1148C2×#41—1221no—
1149C2×#41—1221no—
1150C2×#41—1221no—
1151C2×#41—1224no—
1152C2×#41—2442no—
1153C2×#41C22×D6111yescharacteristic
1154C22×Q8—611no—
1155C22×D4—611no—
1156C22×D4—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—1221no—
1162C22×D4—1221no—
1163C22×D4—1221no—
1164C22×D4—1224no—
1165C22×D4—1221no—
1166C22×D4—1221no—
1167C22×D4—2442no—
1168C22×D4C22×D6111yescharacteristic
1169C23×C4—611no—
1170C23×C4—611no—
1171C23×C4—1221no—
1172C23×C4—1221no—
1173#137—2442no—
1174AGL(1,ℤ/8)—1224no—
1175AGL(1,ℤ/8)—2442no—
1176C2×Q16—611no—
1177C2×Q16C22×D6111yescharacteristic, complemented
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16—611no—
1182C2×SD16C22×D6111yescharacteristic
1183C2×SD16C22×D6111yescharacteristic
1184C2×D8—611no—
1185C2×D8—611no—
1186C2×D8—611no—
1187C2×D8—611no—
1188C2×M16—611no—
1189C2×M16—611no—
1190C2×M16—611no—
1191C2×M16—611no—
1192C2×M16—611no—
1193C2×M16—611no—
1194C2×M16—611no—
1195C2×M16—2442no—
1196C2×M16—2442no—
1197C2×M16C22×D6111yescharacteristic, complemented
1198C22×C8—611no—
1199C22×C8—611no—
1200C22×C8—611no—
1201C22×C8C22×D6111yescharacteristic
1202C4⋊Q8—611no—
1203C4⋊Q8C22×D6111yescharacteristic, complemented
1204#126—1221no—
1205#126—1221no—
1206#126—1221no—
1207#126—1221no—
1208#126—1221no—
1209#126—1221no—
1210#125—21no—
1211#125—611no—
1212#125—611no—
1213#125—1221no—
1214#125—1221no—
1215#124—611no—
1216#124—611no—
1217#124—611no—
1218#124—1221no—
1219#124—1221no—
1220#124—1221no—
1221#124—1221no—
1222#124—1221no—
1223#124C22×D6111yescharacteristic
1224#123—21no—
1225#123—1221no—
1226#123—1221no—
1227#123—1221no—
1228#123—1221no—
1229#123—1221no—
1230#123—1221no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235#123—1221no—
1236#123—1221no—
1237#123—1221no—
1238#123—1221no—
1239#123—1221no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—611no—
1243C22⋊Q8—611no—
1244C22⋊Q8—611no—
1245C22⋊Q8—611no—
1246C22⋊Q8—611no—
1247C22⋊Q8—1221no—
1248C22⋊Q8—1221no—
1249C22⋊Q8—1221no—
1250C22⋊Q8—1221no—
1251C22⋊Q8—1221no—
1252C22⋊Q8C22×D6111yescharacteristic
1253C22⋊Q8C22×D6111yescharacteristic
1254C22⋊Q8C22×D6111yescharacteristic, complemented
1255#121—21no—
1256#121—611no—
1257#121—611no—
1258#121—611no—
1259#121—611no—
1260#121—611no—
1261#121—611no—
1262#121—611no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121—1221no—
1274#121—1221no—
1275#121C22×D6111yescharacteristic
1276#120—21no—
1277#120—1221no—
1278#120—1221no—
1279#120—1221no—
1280#120—1221no—
1281#120—1221no—
1282#120—1221no—
1283#120—1221no—
1284#120—1221no—
1285#120—1221no—
1286C4×Q8—611no—
1287C4×Q8—1221no—
1288C4×Q8—1221no—
1289C4×Q8—1221no—
1290C4×Q8C22×D6111yescharacteristic, complemented
1291C4×D4—21no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—611no—
1295C4×D4—611no—
1296C4×D4—611no—
1297C4×D4—611no—
1298C4×D4—611no—
1299C4×D4—611no—
1300C4×D4—611no—
1301C4×D4—611no—
1302C4×D4—611no—
1303C4×D4—611no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4—1221no—
1310C4×D4—1221no—
1311C4×D4—1221no—
1312C4×D4—1221no—
1313C4×D4—1221no—
1314C4×D4C22×D6111yescharacteristic
1315C4×D4C22×D6111yescharacteristic
1316#117—611no—
1317#117—611no—
1318#117—611no—
1319#117—611no—
1320#117—611no—
1321#117—611no—
1322#117—611no—
1323#117—1221no—
1324#117—1221no—
1325#117—1221no—
1326#117—1221no—
1327#117—1221no—
1328#117—1221no—
1329#117—1221no—
1330#117—1221no—
1331C2×C4⋊C4—611no—
1332C2×C4⋊C4—611no—
1333C2×C4⋊C4—611no—
1334C2×C4⋊C4—611no—
1335C2×C4⋊C4—1221no—
1336C2×C4⋊C4C22×D6111yescharacteristic
1337C2×C4⋊C4C22×D6111yescharacteristic, complemented
1338C2×C22⋊C4—21no—
1339C2×C22⋊C4—611no—
1340C2×C22⋊C4—611no—
1341C2×C22⋊C4—1221no—
1342C2×C22⋊C4—1221no—
1343C2×C22⋊C4—1221no—
1344C2×C22⋊C4—1221no—
1345C2×C22⋊C4—1221no—
1346C2×C22⋊C4—1221no—
1347C2×C22⋊C4—1221no—
1348C2×C22⋊C4—1221no—
1349C2×C22⋊C4—1221no—
1350C2×C22⋊C4—1221no—
1351C2×C22⋊C4—1221no—
1352C2×C22⋊C4—1221no—
1353C2×C22⋊C4—1221no—
1354C2×C22⋊C4—1221no—
1355C2×C42—611no—
1356C2×C42—1221no—
1357C2×C42—1221no—
1358C2×C42—1221no—
1359#107—611no—
1360#107—611no—
1361#107—611no—
1362#107C22×D6111yescharacteristic, complemented
1363#107C22×D6111yescharacteristic, complemented
1364#107C22×D6111yescharacteristic, complemented
1365#106—611no—
1366#106—611no—
1367#106—611no—
1368#106—611no—
1369#106—611no—
1370#106—611no—
1371C4⋊C8—611no—
1372C4⋊C8—611no—
1373C4⋊C8—611no—
1374C4⋊C8C22×D6111yescharacteristic, complemented
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103—611no—
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103—611no—
1385#103C22×D6111yescharacteristic, complemented
1386#103C22×D6111yescharacteristic, complemented
1387#103C22×D6111yescharacteristic, complemented
1388#103C22×D6111yescharacteristic, complemented
1389#102—611no—
1390#102—611no—
1391#102—611no—
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#102C22×D6111yescharacteristic
1410#102C22×D6111yescharacteristic
1411#102C22×D6111yescharacteristic
1412#102C22×D6111yescharacteristic
1413#102C22×D6111yescharacteristic
1414#102C22×D6111yescharacteristic
1415C22⋊C8—611no—
1416C22⋊C8—611no—
1417C22⋊C8—611no—
1418C22⋊C8—611no—
1419C22⋊C8—611no—
1420C22⋊C8—611no—
1421C22⋊C8C22×D6111yescharacteristic
1422C22⋊C8C22×D6111yescharacteristic, complemented
1423#97—611no—
1424#97C22×D6111yescharacteristic, complemented
1425C4×C8—611no—
1426C4×C8—611no—
1427C24—21no—
1428C24—611no—
1429C24—611no—
1430C24—1221no—
1431C24—1221no—
1432C24—1221no—
1433C24—1221no—
1434C24—1221no—
1435C24—4882no—
1436C24—2444no—
1437C24—2444no—
1438#41—22no—
1439#41—41no—
1440#41—1222no—
1441#41—1222no—
1442#41—1222no—
1443#41—1222no—
1444#41—1222no—
1445#41—2441no—
1446#41—2444no—
1447#41—2441no—
1448#41—2444no—
1449#41—2441no—
1450#41—2444no—
1451C2×Q8—21no—
1452C2×Q8—611no—
1453C2×Q8—1221no—
1454C2×Q8—1222no—
1455C2×Q8—1222no—
1456C2×Q8—1221no—
1457C2×Q8C23×D6111yescharacteristic
1458C2×Q8C23×D6111yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—614no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—611no—
1470C2×D4—611no—
1471C2×D4—1222no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1221no—
1477C2×D4—1222no—
1478C2×D4—1222no—
1479C2×D4—1222no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1222no—
1485C2×D4—1222no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1221no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—4882no—
1494C2×D4—2441no—
1495C2×D4—2441no—
1496C2×D4—2441no—
1497C2×D4—2444no—
1498C2×D4—2444no—
1499C2×D4—2444no—
1500C2×D4—2442no—
1501C2×D4—2444no—
1502C2×D4D4×D6111yescharacteristic
1503C2×D4C23×D6111yescharacteristic
1504C2×D4C23×D6111yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—611no—
1510C22×C4—611no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—611no—
1519C22×C4—611no—
1520C22×C4—1222no—
1521C22×C4—1222no—
1522C22×C4—1222no—
1523C22×C4—1222no—
1524C22×C4—1221no—
1525C22×C4—1221no—
1526C22×C4—1221no—
1527C22×C4—1221no—
1528C22×C4—1221no—
1529C22×C4—1221no—
1530C22×C4—1221no—
1531C22×C4—1221no—
1532C22×C4—1221no—
1533C22×C4—1221no—
1534C22×C4—1221no—
1535C22×C4—1221no—
1536C22×C4—1221no—
1537C22×C4—4882no—
1538C22×C4—2444no—
1539C22×C4C23×D6111yescharacteristic
1540C22×C4C23×D6111yescharacteristic
1541Q16—41no—
1542Q16—2441no—
1543SD16—22no—
1544SD16—41no—
1545SD16—1222no—
1546SD16—2441no—
1547SD16—2441no—
1548SD16—2441no—
1549D8—1222no—
1550D8—1222no—
1551D8—2441no—
1552D8—2441no—
1553M16—41no—
1554M16—1222no—
1555M16—1222no—
1556M16—1222no—
1557M16—1222no—
1558M16—2441no—
1559M16—2441no—
1560M16—2441no—
1561C2×C8—41no—
1562C2×C8—611no—
1563C2×C8—611no—
1564C2×C8—611no—
1565C2×C8—611no—
1566C2×C8—2441no—
1567C2×C8—2441no—
1568C2×C8—2441no—
1569C2×C8C23×D6111yescharacteristic
1570C2×C8C23×D6111yescharacteristic
1571C2×C8C23×D6111yescharacteristic
1572C2×C8C23×D6111yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—611no—
1581C4⋊C4—611no—
1582C4⋊C4—611no—
1583C4⋊C4—611no—
1584C4⋊C4—611no—
1585C4⋊C4—611no—
1586C4⋊C4—611no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4—1221no—
1600C4⋊C4—1221no—
1601C4⋊C4D4×D6111yescharacteristic
1602C4⋊C4C23×D6111yescharacteristic
1603C4⋊C4C23×D6111yescharacteristic
1604C4⋊C4C23×D6111yescharacteristic
1605C4⋊C4C23×D6111yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—611no—
1614C22⋊C4—611no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
1618C22⋊C4—611no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1650C22⋊C4D4×D6111yescharacteristic
1651C42—21no—
1652C42—611no—
1653C42—611no—
1654C42—611no—
1655C42—1221no—
1656C42—1221no—
1657C42—1221no—
1658C42—1221no—
1659C42—1221no—
1660C42—1221no—
1661C42—1221no—
1662C42—1221no—
1663C42C23×D6111yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—611no—
1670C23—611no—
1671C23—611no—
1672C23—1222no—
1673C23—1222no—
1674C23—1224no—
1675C23—1222no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—4881no—
1680C23—4881no—
1681C23—4881no—
1682C23—48816no—
1683C23—2441no—
1684C23—2441no—
1685C23—2441no—
1686C23—2442no—
1687C23—2442no—
1688C23—2442no—
1689C23—2442no—
1690C23—2442no—
1691C23—2442no—
1692C23—2442no—
1693C23—2442no—
1694C23—2442no—
1695C23—2442no—
1696C23—2442no—
1697C23C2×D4×D6111yescharacteristic
1698C23C2×D4×D6111yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—81no—
1704Q8—1221no—
1705Q8—1221no—
1706Q8—2442no—
1707Q8—2442no—
1708D4—22no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—612no—
1716D4—1224no—
1717D4—1222no—
1718D4—1221no—
1719D4—1221no—
1720D4—1221no—
1721D4—1221no—
1722D4—1221no—
1723D4—4881no—
1724D4—4881no—
1725D4—4881no—
1726D4—4881no—
1727D4—4881no—
1728D4—2441no—
1729D4—2442no—
1730D4—2442no—
1731D4—2442no—
1732D4—2442no—
1733D4—2441no—
1734D4—2442no—
1735D4—2442no—
1736D4—2442no—
1737D4—2442no—
1738D4—2442no—
1739D4—2442no—
1740D4#41×D6112yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—611no—
1756C2×C4—612no—
1757C2×C4—612no—
1758C2×C4—611no—
1759C2×C4—611no—
1760C2×C4—611no—
1761C2×C4—611no—
1762C2×C4—1222no—
1763C2×C4—1222no—
1764C2×C4—1222no—
1765C2×C4—1222no—
1766C2×C4—1222no—
1767C2×C4—1222no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—4881no—
1778C2×C4—4881no—
1779C2×C4—4881no—
1780C2×C4—4881no—
1781C2×C4—2441no—
1782C2×C4—2441no—
1783C2×C4—2442no—
1784C2×C4—2442no—
1785C2×C4—2442no—
1786C2×C4—2442no—
1787C2×C4—2442no—
1788C2×C4—2442no—
1789C2×C4—2442no—
1790C2×C4—2442no—
1791C2×C4—2442no—
1792C2×C4C2×D4×D6111yescharacteristic
1793C2×C4C2×D4×D6111yescharacteristic
1794C2×C4C2×D4×D6111yescharacteristic
1795C2×C4C2×D4×D6111yescharacteristic
1796C2×C4C24×D6111yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1221no—
1802C8—1221no—
1803C8—1221no—
1804C8—1221no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—84no—
1817C22—612no—
1818C22—1221no—
1819C22—1221no—
1820C22—1221no—
1821C22—1221no—
1822C22—1222no—
1823C22—1221no—
1824C22—1221no—
1825C22—1221no—
1826C22—1221no—
1827C22—4884no—
1828C22—4882no—
1829C22—4884no—
1830C22—4884no—
1831C22—4884no—
1832C22—2444no—
1833C22—2448no—
1834C22—2441no—
1835C22—2441no—
1836C22—2441no—
1837C22—2441no—
1838C22—2441no—
1839C22—2441no—
1840C22—2441no—
1841C22—2441no—
1842C22#1684056112yes—
1843C22C22×D4×D6111yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—612no—
1855C4—1221no—
1856C4—1221no—
1857C4—1221no—
1858C4—1221no—
1859C4—2441no—
1860C4—2441no—
1861C4—2441no—
1862C4—2441no—
1863C4—2441no—
1864C4C2×#41×D6111yescharacteristic
1865C4H(5,𝔽2)×D6111yescharacteristic
1866C2—22no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—1222no—
1871C2—4881no—
1872C2—4881no—
1873C2—2441no—
1874C2—2441no—
1875C2—2442no—
1876C2#546×D6111yescharacteristic
1877C2C2×#1684056111yescharacteristic
1878C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3314C2
socleC22×C61C23×D4
hypercenter#3314D61
hypocenterC61#61156
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21459385C2semidirect
2. #546×D61C2semidirect
3. #21458030C2semidirect
4. #21458028C2semidirect
5. #21458023C2semidirect
6. #21458021C2semidirect
7. #21457974C2semidirect
8. #21457972C2semidirect
9. #21457894C2semidirect
10. #21457862C2semidirect
11. #21457860C2semidirect
12. #21457782C2semidirect
13. #21457780C2semidirect
14. #21457667C2semidirect
15. #21457665C2semidirect
16. #21457660C2semidirect
17. #21457658C2semidirect
18. #21456204C2semidirect
19. #21455764C2semidirect
20. #21455754C2semidirect
21. #21455611C2semidirect
22. #21455446C2semidirect
23. #21455433C2semidirect
24. #21455310C2semidirect
25. #21455062C2semidirect
26. #21455047C2semidirect
27. #21454624C2semidirect
28. #21454552C2semidirect
29. #21454335C2semidirect
30. C2×#16839765C2semidirect
31. C61×#3314C2semidirect
34. C2×#14519809C22semidirect
38. C2×M16×D61C22semidirect
39. #16840485C22semidirect
40. #16840478C22semidirect
41. #16840460C22semidirect
42. #16840460C22semidirect
43. #16840454C22semidirect
44. #16840454C22semidirect
48. #16840416C22semidirect
61. #16840317C22semidirect
67. #16840275C22semidirect
73. C4×#11758226C22semidirect
78. C2×#14519735C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840121C22semidirect
83. #16840118C22semidirect
84. #16840118C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840105C22semidirect
88. #16840105C22semidirect
89. #16840101C22semidirect
90. #16840101C22semidirect
91. #16840097C22semidirect
92. #16840093C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
96. #16840085C22semidirect
97. #16840085C22semidirect
98. #16840081C22semidirect
99. #16840078C22semidirect
100. #16840075C22semidirect
101. #16840065C22semidirect
102. #16840065C22semidirect
103. #16840064C22semidirect
104. #16840064C22semidirect
105. #16840053C22semidirect
106. #16840052C22semidirect
107. #16840039C22semidirect
108. #16840019C22semidirect
109. #16840017C22semidirect
110. #16840015C22semidirect
111. #16840013C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840009C22semidirect
115. #16840001C22semidirect
116. #16839999C22semidirect
117. #16839997C22semidirect
118. #16839994C22semidirect
119. #16839993C22semidirect
120. #16839991C22semidirect
121. #16839988C22semidirect
122. #16839986C22semidirect
123. #16839984C22semidirect
124. #16839982C22semidirect
125. #16839980C22semidirect
126. #16839978C22semidirect
127. #16839976C22semidirect
128. #16839974C22semidirect
129. #16839923C22semidirect
130. #16839922C22semidirect
131. #16839921C22semidirect
132. #16839912C22semidirect
133. #16839911C22semidirect
134. #16839911C22semidirect
135. #16839910C22semidirect
136. #16839909C22semidirect
137. #16839908C22semidirect
138. #16839907C22semidirect
139. #16839898C22semidirect
140. #16839897C22semidirect
141. #16839897C22semidirect
142. #16839896C22semidirect
143. #16839875C22semidirect
144. #16839872C22semidirect
145. #16839860C22semidirect
146. SD16×Dic61C22semidirect
147. #16839847C22semidirect
148. #16839844C22semidirect
149. #16839842C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #16839803C22semidirect
159. #16839803C22semidirect
160. #16839784C22semidirect
161. #16839769C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
170. #16839765C22semidirect
171. #16839765C22semidirect
172. #16839765C22semidirect
173. #16839765C22semidirect
174. #16839764C22semidirect
175. #16839763C22semidirect
176. #16839762C22semidirect
177. #16839761C22semidirect
178. #16839757C22semidirect
179. #16839757C22semidirect
180. #16839755C22semidirect
181. #16839755C22semidirect
182. C2×#14519699C22semidirect
183. C2×#14519698C22semidirect
184. C2×#14519697C22semidirect
186. #16839724C22semidirect
187. #16839714C22semidirect
188. C61×#554C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#474C22semidirect
194. C61×#468C22semidirect
195. C61×#467C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#102×C61C22semidirect
234. C2×#11758202C23semidirect
235. C2×#11758190C23semidirect
238. C2×#11758201C23semidirect
243. C2×#11758194C23semidirect
253. C2×C8×D61C23semidirect
254. C2×C8×D61C23semidirect
255. #14519777C23semidirect
264. #14519768C23semidirect
265. #14519768C23semidirect
298. #14519753C23semidirect
303. #14519752C23semidirect
309. #14519751C23semidirect
328. Q8×Dic61C23semidirect
334. C4×D244C23semidirect
342. #14519739C23semidirect
364. #14519735C23semidirect
365. #14519735C23semidirect
369. C2×C4⋊Dic61C23semidirect
393. #14519710C23semidirect
394. #14519710C23semidirect
395. #14519710C23semidirect
396. #14519709C23semidirect
397. #14519709C23semidirect
398. #14519709C23semidirect
399. #14519708C23semidirect
400. #14519708C23semidirect
401. #14519708C23semidirect
402. C4⋊#92418C23semidirect
403. #14519706C23semidirect
404. #14519706C23semidirect
405. #14519702C23semidirect
406. #14519702C23semidirect
407. #14519702C23semidirect
408. #14519701C23semidirect
409. #14519701C23semidirect
410. #14519701C23semidirect
411. #14519701C23semidirect
412. #14519700C23semidirect
413. #14519700C23semidirect
414. #14519700C23semidirect
421. #14519699C23semidirect
434. #14519697C23semidirect
436. C22⋊#92418C23semidirect
439. #14519689C23semidirect
440. #14519689C23semidirect
441. #14519688C23semidirect
442. C8×Dic61C23semidirect
443. C8×Dic61C23semidirect
446. C2×Q16×C61C23semidirect
449. C2×M16×C61C23semidirect
451. C4⋊Q8×C61C23semidirect
459. C22⋊Q8×C61C23semidirect
463. C4×Q8×C61C23semidirect
468. C2×C4⋊C4×C61C23semidirect
470. #107×C61C23semidirect
471. #107×C61C23semidirect
472. #107×C61C23semidirect
473. C4⋊C8×C61C23semidirect
474. #103×C61C23semidirect
475. #103×C61C23semidirect
476. #103×C61C23semidirect
477. #103×C61C23semidirect
485. C22⋊C8×C61C23semidirect
486. #97×C61C23semidirect
558. D4×D61#41semidirect
936. #3314D61semidirect
980. #554C2×D61semidirect
1024. #489C2×D61semidirect
1034. #484C2×D61semidirect
1044. #480C2×D61semidirect
1052. #474C2×D61semidirect
1060. #468C2×D61semidirect
1062. #467C2×D61semidirect
1072. #464C2×D61semidirect
1080. #452C2×D61semidirect
1084. #450C2×D61semidirect
1096. #440C2×D61semidirect
1106. #435C2×D61semidirect
1130. #417C2×D61semidirect
1138. C2×#102C2×D61semidirect
1142. C61#61156semidirect
1177. C2×Q16C22×D61semidirect
1197. C2×M16C22×D61semidirect
1203. C4⋊Q8C22×D61semidirect
1254. C22⋊Q8C22×D61semidirect
1290. C4×Q8C22×D61semidirect
1337. C2×C4⋊C4C22×D61semidirect
1362. #107C22×D61semidirect
1363. #107C22×D61semidirect
1364. #107C22×D61semidirect
1374. C4⋊C8C22×D61semidirect
1385. #103C22×D61semidirect
1386. #103C22×D61semidirect
1387. #103C22×D61semidirect
1388. #103C22×D61semidirect
1422. C22⋊C8C22×D61semidirect
1424. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214593852
#546×D612
#214580302
#214580282
#214580232
#214580212
#214579742
#214579722
#214578942
#214578622
#214578602
#214577822
#214577802
#214576672
#214576652
#214576602
#214576582
#214562042
#214557642
#214557542
#214556112
#214554462
#214554332
#214553102
#214550622
#214550472
#214546242
#214545522
#214543352
C2×#168397652
C61×#33142
#6115661