Finite Group Databasebeta

← #29888456

Subgroups — #29888456

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454131C211yesmaximal, characteristic, complemented
2#21454123C211yesmaximal, characteristic, complemented
3#21453484C211yesmaximal, characteristic, complemented
4#21453483C211yesmaximal, characteristic, complemented
5#21453440C211yesmaximal, characteristic, complemented
6#21453257C211yesmaximal, characteristic, complemented
7#21453239C211yesmaximal, characteristic, complemented
8#21453199C211yesmaximal, characteristic, complemented
9#21453134C211yesmaximal, characteristic, complemented
10#21453037C211yesmaximal, characteristic, complemented
11#21452951C211yesmaximal, characteristic, complemented
12#21452931C211yesmaximal, characteristic, complemented
13#21452862C211yesmaximal, characteristic, complemented
14#21452855C211yesmaximal, characteristic, complemented
15#21452810C211yesmaximal, characteristic, complemented
16#21452204C211yesmaximal, characteristic, complemented
17#21452202C211yesmaximal, characteristic, complemented
18#21451600C211yesmaximal, characteristic, complemented
19#21451566C211yesmaximal, characteristic, complemented
20#21450380C211yesmaximal, characteristic, complemented
21#21450138C211yesmaximal, characteristic, complemented
22#21449576C211yesmaximal, characteristic, complemented
23#21449482C211yesmaximal, characteristic, complemented
24#21449377C211yesmaximal, characteristic, complemented
25#21449212C211yesmaximal, characteristic, complemented
26#21449188C211yesmaximal, characteristic
27#21449141C211yesmaximal, characteristic, complemented
28#21448481C211yesmaximal, characteristic, complemented
29#21448393C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2702C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C2×#14519766C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic
35C2×#14519762C2211yescharacteristic, complemented
36C2×#14519759C2211yescharacteristic
37C2×#14519753C2211yescharacteristic, complemented
38C2×#14519752C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519747C2211yescharacteristic
41C2×#14519747C2211yescharacteristic
42C2×C4×D244C2211yescharacteristic, complemented
43C2×C4⋊C4×D61C2211yescharacteristic, complemented
44C22×#11758198C2211yescharacteristic
45C2×C22⋊C4×D61C2211yescharacteristic
46C2×C22⋊C4×D61C2211yescharacteristic
47C2×C22⋊C4×D61C2211yescharacteristic
48C2×C42×D61C2211yescharacteristic, complemented
49C61⋊#401C2211yescharacteristic, complemented
50#16839704C2211yescharacteristic, complemented
51#16839703C2211yescharacteristic, complemented
52#16839703C2211yescharacteristic, complemented
53#16839702C2211yescharacteristic, complemented
54#16839702C2211yescharacteristic, complemented
55#16839697C2211yescharacteristic
56#16839697C2211yescharacteristic, complemented
57#16839697C2211yescharacteristic, complemented
58#16839696C2211yescharacteristic, complemented
59#16839695C2211yescharacteristic, complemented
60#16839695C2211yescharacteristic, complemented
61#16839692C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic
63#16839691C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839689C2211yescharacteristic, complemented
66#16839689C2211yescharacteristic, complemented
67#16839688C2211yescharacteristic
68#16839688C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic, complemented
73#16839684C2211yescharacteristic
74#16839684C2211yescharacteristic
75#16839684C2211yescharacteristic, complemented
76#16839684C2211yescharacteristic, complemented
77#16839684C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic
79#16839679C2211yescharacteristic
80#16839679C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic, complemented
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic
85#16839677C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic
88#16839673C2211yescharacteristic
89#16839671C2211yescharacteristic
90#16839670C2211yescharacteristic
91#16839669C2211yescharacteristic, complemented
92#16839664C2211yescharacteristic, complemented
93#16839663C2211yescharacteristic
94#16839662C2211yescharacteristic, complemented
95#16839656C2211yescharacteristic, complemented
96#16839656C2211yescharacteristic, complemented
97#16839655C2211yescharacteristic, complemented
98#16839655C2211yescharacteristic, complemented
99#16839655C2211yescharacteristic, complemented
100#16839654C2211yescharacteristic
101#16839654C2211yescharacteristic
102#16839653C2211yescharacteristic
103#16839653C2211yescharacteristic
104#16839653C2211yescharacteristic, complemented
105#16839652C2211yescharacteristic
106#16839652C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839651C2211yescharacteristic
109#16839651C2211yescharacteristic, complemented
110#16839651C2211yescharacteristic, complemented
111#16839651C2211yescharacteristic, complemented
112#16839651C2211yescharacteristic, complemented
113#16839650C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839643C2211yescharacteristic, complemented
120#16839643C2211yescharacteristic, complemented
121#16839643C2211yescharacteristic, complemented
122#16839642C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839640C2211yescharacteristic, complemented
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic, complemented
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839637C2211yescharacteristic, complemented
143#16839636C2211yescharacteristic
144#16839635C2211yescharacteristic, complemented
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic, complemented
148#16839633C2211yescharacteristic, complemented
149#16839633C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic, complemented
151#16839630C2211yescharacteristic, complemented
152#16839629C2211yescharacteristic, complemented
153#16839627C2211yescharacteristic, complemented
154#16839626C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839621C2211yescharacteristic, complemented
160#16839620C2211yescharacteristic, complemented
161#16839620C2211yescharacteristic, complemented
162#16839619C2211yescharacteristic, complemented
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172C2×#126×C61C2211yescharacteristic, complemented
173C2×C22⋊Q8×C61C2211yescharacteristic, complemented
174C61×#400C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#393C2211yescharacteristic, complemented
180C61×#391C2211yescharacteristic, complemented
181C61×#389C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic
186C61×#380C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C2×D4×D61—24no—
198C2×D4×D61—42no—
199C2×D4×D61—42no—
200C23×Dic61C2311yescharacteristic
201C22×C4×D61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209#14519766—42no—
210#14519762—42no—
211#14519762—42no—
212#14519759—42no—
213#14519753—42no—
214#14519752—42no—
215#14519750—42no—
216#14519747—24no—
217#14519747—42no—
218C4×D244—42no—
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×#11758196C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C4⋊C4×D61—42no—
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×#11758198—42no—
247C2×#11758198C2311yescharacteristic
248C2×#11758198C2311yescharacteristic
249C2×#11758198C2311yescharacteristic
250C2×#11758198C2311yescharacteristic
251C2×#11758198C2311yescharacteristic
252C2×#11758198C2311yescharacteristic
253C2×#11758198C2311yescharacteristic
254C2×#11758198C2311yescharacteristic
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C22⋊C4×D61—24no—
284C22⋊C4×D61—42no—
285C22⋊C4×D61—42no—
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C42×D61—42no—
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326C22×Q8×C61C2311yescharacteristic
327C22×D4×C61C2311yescharacteristic
328C23×C4×C61C2311yescharacteristic
329#126×C61—42no—
330C22⋊Q8×C61—42no—
331C2×C4⋊C4×C61C2311yescharacteristic
332C2×C4⋊C4×C61C2311yescharacteristic
333C2×C4⋊C4×C61C2311yescharacteristic
334C2×C4⋊C4×C61C2311yescharacteristic
335C2×C4⋊C4×C61C2311yescharacteristic
336C2×C4⋊C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C22⋊C4×C61C2311yescharacteristic
341C2×C22⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C42×C61C2311yescharacteristic
352C2×C42×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61C2411yescharacteristic
364C24×C61C2411yescharacteristic
365C23×D61—22no—
366C23×D61—22no—
367C23×D61—22no—
368C23×D61—41no—
369C23×D61—41no—
370C23×D61—41no—
371C23×D61—41no—
372C23×D61—41no—
373C23×D61—41no—
374C23×D61—41no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61#4114yes—
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C23×D61C2411yescharacteristic
383C2×Q8×C61—22no—
384C2×Q8×C61—41no—
385C2×Q8×C61—41no—
386C2×D4×C61—22no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C22×C4×C61—41no—
390C22×C4×C61—41no—
391C22×C4×C61—41no—
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C2×C22⋊D61—22no—
406C2×C22⋊D61—22no—
407C2×C22⋊D61—22no—
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—41no—
411C2×C22⋊D61—41no—
412C2×C22⋊D61—41no—
413C2×C22⋊D61—41no—
414C2×C22⋊D61—41no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—41no—
417C22×Dic61—41no—
418C22×Dic61—41no—
419C22×Dic61—41no—
420C22×Dic61C2411yescharacteristic
421C22×Dic61C2411yescharacteristic
422C22×Dic61C2411yescharacteristic
423C22×Dic61C2411yescharacteristic
424C22×Dic61C2411yescharacteristic
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432D4×D61—416no—
433C2×D244—22no—
434C2×D244—22no—
435C2×D244—22no—
436C2×D244—22no—
437C2×D244—22no—
438C2×D244—22no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—41no—
442C2×D244—41no—
443C2×D244—41no—
444C2×D244—41no—
445C2×C4×D61—22no—
446C2×C4×D61—22no—
447C2×C4×D61—22no—
448C2×C4×D61—22no—
449C2×C4×D61—22no—
450C2×C4×D61—22no—
451C2×C4×D61—22no—
452C2×C4×D61—22no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—41no—
456C2×C4×D61—41no—
457C2×C4×D61—41no—
458C2×C4×D61—41no—
459C2×C4×D61—41no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C4⋊C4×C61—22no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C22⋊C4×C61—22no—
479C22⋊C4×C61—22no—
480C22⋊C4×C61—22no—
481C22⋊C4×C61—22no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊C4×C61—41no—
489C42×C61—22no—
490C42×C61—41no—
491C22⋊Dic61—22no—
492C22⋊Dic61—41no—
493C22⋊Dic61—41no—
494C22⋊Dic61—41no—
495C22⋊Dic61—41no—
496C22⋊Dic61—41no—
497C22⋊Dic61—41no—
498C22⋊Dic61—41no—
499C22⋊Dic61—41no—
500#11758198—22no—
501#11758198—22no—
502#11758198—22no—
503#11758198—22no—
504#11758198—22no—
505#11758198—22no—
506#11758198—22no—
507#11758198—22no—
508#11758198—22no—
509#11758198—41no—
510#11758198—41no—
511#11758198—41no—
512#11758198—41no—
513#11758198—41no—
514#11758198—41no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535#11758198—41no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540C4⋊Dic61—41no—
541#11758196—41no—
542#11758196—41no—
543#11758196—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551#11758196—41no—
552#11758196—41no—
553C4×Dic61—22no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61C2×#4112yes—
572C23×C61C2511yescharacteristic
573C22×D61—21no—
574C22×D61—21no—
575C22×D61—21no—
576C22×D61—21no—
577C22×D61—21no—
578C22×D61—21no—
579C22×D61—21no—
580C22×D61—21no—
581C22×D61—21no—
582C22×D61—21no—
583C22×D61—28no—
584C22×D61—21no—
585C22×D61—21no—
586C22×D61—21no—
587C22×D61—21no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—21no—
592C22×D61—21no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—44no—
599C22×D61—44no—
600C22×D61—44no—
601C22×D61—82no—
602C22×D61—82no—
603C22×D61—82no—
604C22×D61—82no—
605C22×D61—82no—
606C22×D61—82no—
607C22×D61—82no—
608C22×D61—82no—
609C22×D61—82no—
610C22×D61—82no—
611C22×D61C2×#4112yes—
612C22×D61C2×#4112yes—
613C22×D61H(5,𝔽2)12yes—
614C22×D61H(5,𝔽2)12yes—
615Q8×C61—82no—
616D4×C61—44no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—82no—
656C2×C4×C61H(5,𝔽2)12yes—
657C22⋊D61—44no—
658C22⋊D61—44no—
659C22⋊D61—82no—
660C22⋊D61—82no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—82no—
698D244—44no—
699D244—44no—
700D244—82no—
701D244—82no—
702C4×D61—44no—
703C4×D61—44no—
704C4×D61—44no—
705C4×D61—44no—
706C4×D61—44no—
707C4×D61—82no—
708C4×D61—82no—
709C4×D61—82no—
710#36779—611nomaximal, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—41no—
715C22×C61—41no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61C22×#4111yescharacteristic
726C22×C61C2×H(5,𝔽2)11yescharacteristic
727C22×C61C2×H(5,𝔽2)11yescharacteristic
728C22×C61C2×H(5,𝔽2)11yescharacteristic
729C22×C61#58511yescharacteristic
730C22×C61#58511yescharacteristic
731C22×C61#58511yescharacteristic
732C2×D61—22no—
733C2×D61—22no—
734C2×D61—22no—
735C2×D61—22no—
736C2×D61—22no—
737C2×D61—22no—
738C2×D61—22no—
739C2×D61—22no—
740C2×D61—22no—
741C2×D61—41no—
742C2×D61—41no—
743C2×D61—41no—
744C2×D61—41no—
745C2×D61—41no—
746C2×D61—41no—
747C2×D61—41no—
748C2×D61—41no—
749C2×D61—41no—
750C2×D61—41no—
751C2×D61—41no—
752C2×D61—41no—
753C2×D61—41no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—88no—
760C2×D61—88no—
761C2×D61#53814yes—
762C4×C61—22no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61—41no—
778Dic61—41no—
779Dic61—41no—
780Dic61—41no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787#2852—611no—
788#2850—611no—
789#2781—611no—
790#2781—611no—
791#2778—611no—
792#2765—611no—
793#2764—611no—
794#2761—611no—
795#2756—611no—
796#2749—611no—
797#2743—611no—
798#2741—611no—
799#2735—611no—
800#2735—611no—
801#2730—611no—
802#2702D6111yescharacteristic, complemented
803#2685—611no—
804#2684—611no—
805#2623—611no—
806#2618—611no—
807#2510—611no—
808#2488—611no—
809#2444—611no—
810#2437—611no—
811#2425—611no—
812#2412—611no—
813#2410—611no—
814#2405—611no—
815#2321—611no—
816#2308—611no—
817C2×#388—611no—
818C2×C61—42no—
819C2×C61—81no—
820C2×C61C2×#53811yescharacteristic
821C2×C61#349111yescharacteristic
822C2×C61#350511yescharacteristic
823C2×C61#353411yescharacteristic
824C2×C61#354211yescharacteristic
825C2×C61#354511yescharacteristic
826C2×C61#356011yescharacteristic
827D61—24no—
828D61—42no—
829D61—81no—
830D61—81no—
831C23×D4—611no—
832C2×#126C2×D6111yescharacteristic, complemented
833C2×#124—611no—
834C2×#123—611no—
835C2×#123—611no—
836C2×#123—611no—
837C2×C22⋊Q8—611no—
838C2×C22⋊Q8C2×D6111yescharacteristic, complemented
839C2×#121—611no—
840C2×#121—611no—
841C2×#120—611no—
842C2×#120—611no—
843C2×C4×D4—611no—
844C22×C4⋊C4—611no—
845C22×C22⋊C4—611no—
846C22×C22⋊C4—611no—
847C22×C22⋊C4—611no—
848C22×C22⋊C4—611no—
849C22×C42—611no—
850#401—611no—
851#400—611no—
852#400—611no—
853#400—611no—
854#400—611no—
855#400—611no—
856#400C2×D6111yescharacteristic, complemented
857#399—611no—
858#399—611no—
859#399—611no—
860#398—611no—
861#398—611no—
862#398—611no—
863#398—611no—
864#398C2×D6111yescharacteristic, complemented
865#397—611no—
866#397—611no—
867#397—611no—
868#397—611no—
869#397—611no—
870#397—611no—
871#397—611no—
872#397—611no—
873#397—611no—
874#397—611no—
875#396—611no—
876#396—611no—
877#396—611no—
878#396—611no—
879#396—611no—
880#396—611no—
881#396C2×D6111yescharacteristic, complemented
882#394—611no—
883#394—611no—
884#394—611no—
885#394—611no—
886#394—611no—
887#394—611no—
888#394—611no—
889#394—611no—
890#394—611no—
891#394—611no—
892#394C2×D6111yescharacteristic
893#394C2×D6111yescharacteristic
894#393—611no—
895#393C2×D6111yescharacteristic, complemented
896#392—611no—
897#392—611no—
898#391—611no—
899#391C2×D6111yescharacteristic, complemented
900#390—611no—
901#390—611no—
902#390—611no—
903#389C2×D6111yescharacteristic, complemented
904#388—611no—
905#388—611no—
906#388—611no—
907#388—611no—
908#388—611no—
909#388—611no—
910#388—611no—
911#388—611no—
912#388—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388C2×D6111yescharacteristic, complemented
927#388C2×D6111yescharacteristic, complemented
928#388C2×D6111yescharacteristic, complemented
929#387—611no—
930#387—611no—
931#387—611no—
932#387—611no—
933#387—611no—
934#386—611no—
935#386—611no—
936#386—611no—
937#386—611no—
938#386—611no—
939#386—611no—
940#386—611no—
941#386—611no—
942#386—611no—
943#386—611no—
944#386—611no—
945#386—611no—
946#386—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386C2×D6111yescharacteristic
955#385—611no—
956#385—611no—
957#385—611no—
958#385—611no—
959#385—611no—
960#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#383—611no—
965#383—611no—
966#382—611no—
967#382—611no—
968#381—611no—
969#381—611no—
970#381—611no—
971#381—611no—
972#380—611no—
973#380—611no—
974#380—611no—
975#380—611no—
976#380C2×D6111yescharacteristic, complemented
977#379—611no—
978#379—611no—
979#379—611no—
980#379—611no—
981#379—611no—
982#379—611no—
983C4×C22⋊C4—611no—
984C2×#95—611no—
985C2×#95—611no—
986C61#3677911yescharacteristic, complemented, Sylow
987C25—611no—
988C25—611no—
989C22×Q8C22×D6111yescharacteristic
990C22×D4—611no—
991C22×D4—611no—
992C22×D4—611no—
993C22×D4—611no—
994C22×D4—611no—
995C22×D4—611no—
996C22×D4—611no—
997C22×D4—611no—
998C22×D4—1224no—
999C22×D4—2442no—
1000C22×D4—2442no—
1001C22×D4C22×D6111yescharacteristic
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—611no—
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4C22×D6111yescharacteristic
1012#126—42no—
1013#124—2442no—
1014#123—2442no—
1015#123—2442no—
1016#123—2442no—
1017C22⋊Q8—42no—
1018C22⋊Q8—2442no—
1019#121—2442no—
1020#121—2442no—
1021#120—1224no—
1022#120—2442no—
1023C4×D4—2442no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—611no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4—2442no—
1042C2×C4⋊C4C22×D6111yescharacteristic
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C4⋊C4C22×D6111yescharacteristic
1045C2×C4⋊C4C22×D6111yescharacteristic
1046C2×C4⋊C4C22×D6111yescharacteristic
1047C2×C4⋊C4C22×D6111yescharacteristic
1048C2×C4⋊C4C22×D6111yescharacteristic
1049C2×C4⋊C4C22×D6111yescharacteristic
1050C2×C4⋊C4C22×D6111yescharacteristic
1051C2×C22⋊C4—611no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—1224no—
1097C2×C22⋊C4—2442no—
1098C2×C22⋊C4—2442no—
1099C2×C22⋊C4—2442no—
1100C2×C22⋊C4C22×D6111yescharacteristic
1101C2×C22⋊C4C22×D6111yescharacteristic
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C42—611no—
1112C2×C42—611no—
1113C2×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—2442no—
1117C2×C42C22×D6111yescharacteristic
1118C2×C42C22×D6111yescharacteristic
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95C22×D6111yescharacteristic
1154#95C22×D6111yescharacteristic
1155#95C22×D6111yescharacteristic
1156#95C22×D6111yescharacteristic
1157#95C22×D6111yescharacteristic
1158#95C22×D6111yescharacteristic
1159#95C22×D6111yescharacteristic
1160#95C22×D6111yescharacteristic
1161#95C22×D6111yescharacteristic
1162#95C22×D6111yescharacteristic
1163C24—611no—
1164C24—611no—
1165C24—614no—
1166C24—611no—
1167C24—611no—
1168C24—1222no—
1169C24—1222no—
1170C24—1222no—
1171C24—2441no—
1172C24—2441no—
1173C24—2441no—
1174C24—2441no—
1175C24—2441no—
1176C24—2441no—
1177C24—2441no—
1178C24—2441no—
1179C24—2441no—
1180C24—2441no—
1181C24C23×D6111yescharacteristic
1182C24C23×D6111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—1222no—
1190C2×D4—1222no—
1191C2×D4—1222no—
1192C2×D4—1222no—
1193C2×D4—1222no—
1194C2×D4—1222no—
1195C2×D4—1222no—
1196C2×D4—1222no—
1197C2×D4—1222no—
1198C2×D4—1222no—
1199C2×D4—1222no—
1200C2×D4—1222no—
1201C2×D4—1222no—
1202C2×D4—2441no—
1203C2×D4—2441no—
1204C2×D4—2441no—
1205C2×D4—2441no—
1206C2×D4—2441no—
1207C2×D4—2441no—
1208C2×D4—2441no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—24416no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—611no—
1218C22×C4—611no—
1219C22×C4—611no—
1220C22×C4—611no—
1221C22×C4—611no—
1222C22×C4—611no—
1223C22×C4—611no—
1224C22×C4—611no—
1225C22×C4—611no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—611no—
1229C22×C4—1222no—
1230C22×C4—1222no—
1231C22×C4—1222no—
1232C22×C4—1222no—
1233C22×C4—1222no—
1234C22×C4—1222no—
1235C22×C4—1222no—
1236C22×C4—1222no—
1237C22×C4—1222no—
1238C22×C4—1222no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4—2441no—
1243C22×C4—2441no—
1244C22×C4—2441no—
1245C22×C4—2441no—
1246C22×C4—2441no—
1247C22×C4—2441no—
1248C22×C4—2441no—
1249C22×C4—2441no—
1250C22×C4—2441no—
1251C22×C4—2441no—
1252C22×C4—2441no—
1253C22×C4—2441no—
1254C22×C4—2441no—
1255C22×C4—2441no—
1256C22×C4C23×D6111yescharacteristic
1257C22×C4C23×D6111yescharacteristic
1258C22×C4C23×D6111yescharacteristic
1259C22×C4C23×D6111yescharacteristic
1260C22×C4C23×D6111yescharacteristic
1261C22×C4C23×D6111yescharacteristic
1262C22×C4C23×D6111yescharacteristic
1263C22×C4C23×D6111yescharacteristic
1264C22×C4C23×D6111yescharacteristic
1265C22×C4C23×D6111yescharacteristic
1266C22×C4C23×D6111yescharacteristic
1267C22×C4C23×D6111yescharacteristic
1268C22×C4C23×D6111yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—2441no—
1279C4⋊C4—2441no—
1280C4⋊C4—2441no—
1281C4⋊C4—2441no—
1282C4⋊C4—2441no—
1283C4⋊C4—2441no—
1284C4⋊C4—2441no—
1285C4⋊C4—2441no—
1286C4⋊C4—2441no—
1287C4⋊C4—2441no—
1288C4⋊C4—2441no—
1289C4⋊C4—2441no—
1290C4⋊C4—2441no—
1291C4⋊C4—2441no—
1292C4⋊C4—2441no—
1293C4⋊C4—2441no—
1294C4⋊C4—2441no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—1222no—
1307C22⋊C4—1222no—
1308C22⋊C4—1222no—
1309C22⋊C4—1222no—
1310C22⋊C4—1222no—
1311C22⋊C4—1222no—
1312C22⋊C4—1222no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—1222no—
1316C22⋊C4—2441no—
1317C22⋊C4—2441no—
1318C22⋊C4—2441no—
1319C22⋊C4—2441no—
1320C22⋊C4—2441no—
1321C22⋊C4—2441no—
1322C22⋊C4—2441no—
1323C22⋊C4—2441no—
1324C22⋊C4—2441no—
1325C22⋊C4—2441no—
1326C22⋊C4—2441no—
1327C22⋊C4—2441no—
1328C22⋊C4—2441no—
1329C22⋊C4—2441no—
1330C22⋊C4—2441no—
1331C22⋊C4—2441no—
1332C22⋊C4—2441no—
1333C22⋊C4—2441no—
1334C22⋊C4—2441no—
1335C22⋊C4—2441no—
1336C22⋊C4—2441no—
1337C22⋊C4—2441no—
1338C22⋊C4—2441no—
1339C22⋊C4—2441no—
1340C22⋊C4—2441no—
1341C22⋊C4—2441no—
1342C22⋊C4—2441no—
1343C22⋊C4—2441no—
1344C22⋊C4—2441no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C42—22no—
1352C42—41no—
1353C42—1222no—
1354C42—2441no—
1355C42—2441no—
1356C42—2441no—
1357C42—2441no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—612no—
1372C23—612no—
1373C23—612no—
1374C23—612no—
1375C23—1228no—
1376C23—1221no—
1377C23—1221no—
1378C23—1221no—
1379C23—1221no—
1380C23—1221no—
1381C23—1221no—
1382C23—1221no—
1383C23—1221no—
1384C23—1221no—
1385C23—1221no—
1386C23—1221no—
1387C23—1221no—
1388C23—1221no—
1389C23—1221no—
1390C23—1221no—
1391C23—1221no—
1392C23—1221no—
1393C23—1221no—
1394C23—1221no—
1395C23—1221no—
1396C23—1221no—
1397C23—1221no—
1398C23—1221no—
1399C23—1221no—
1400C23—4882no—
1401C23—4882no—
1402C23—4882no—
1403C23—4882no—
1404C23—4882no—
1405C23—4882no—
1406C23—4882no—
1407C23—4882no—
1408C23—4882no—
1409C23—4882no—
1410C23—2444no—
1411C23—2444no—
1412C23—2444no—
1413C23#41×D6112yes—
1414C23C24×D6111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—4882no—
1418D4—4882no—
1419D4—4882no—
1420D4—4882no—
1421D4—2444no—
1422D4—2444no—
1423D4—2444no—
1424D4—2444no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—82no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—4882no—
1501C2×C4—4882no—
1502C2×C4—4882no—
1503C2×C4—4882no—
1504C2×C4—2444no—
1505C2×C4—2444no—
1506C2×C4—2444no—
1507C2×C4—2444no—
1508C2×C4—2444no—
1509C2×C4#1451982212yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—614no—
1525C22—1222no—
1526C22—1222no—
1527C22—1222no—
1528C22—1222no—
1529C22—1222no—
1530C22—1222no—
1531C22—1222no—
1532C22—1222no—
1533C22—1222no—
1534C22—4888no—
1535C22—4888no—
1536C22—2441no—
1537C22—2441no—
1538C22—2441no—
1539C22—2441no—
1540C22—2441no—
1541C22—2441no—
1542C22—2441no—
1543C22—2441no—
1544C22—2441no—
1545C22—2441no—
1546C22—2441no—
1547C22—2441no—
1548C22—2441no—
1549C22—2441no—
1550C22—2441no—
1551C22—2441no—
1552C22—2441no—
1553C22—2441no—
1554C22C2×#41×D6111yescharacteristic
1555C22H(5,𝔽2)×D6111yescharacteristic
1556C22H(5,𝔽2)×D6111yescharacteristic
1557C22C2×#1451982211yescharacteristic
1558C22#1684059811yescharacteristic
1559C22#1684059911yescharacteristic
1560C22#1684059911yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—2441no—
1575C4—2441no—
1576C4—2441no—
1577C4—2441no—
1578C4—2441no—
1579C4—2441no—
1580C4—2441no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C2—42no—
1587C2—81no—
1588C2—1224no—
1589C2—4881no—
1590C2—4881no—
1591C2—2442no—
1592C2#538×D6111yescharacteristic
1593C2#2145951411yescharacteristic
1594C2#2145965511yescharacteristic
1595C2#2146000111yescharacteristic
1596C2#2146012311yescharacteristic
1597C2#2146016711yescharacteristic
1598C2#2146036211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2702C2
prime radical#21449188C2
hypercenter#2702D61
hypocenterC61#36779
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #21454131C2semidirect
2. #21454123C2semidirect
3. #21453484C2semidirect
4. #21453483C2semidirect
5. #21453440C2semidirect
6. #21453257C2semidirect
7. #21453239C2semidirect
8. #21453199C2semidirect
9. #21453134C2semidirect
10. #21453037C2semidirect
11. #21452951C2semidirect
12. #21452931C2semidirect
13. #21452862C2semidirect
14. #21452855C2semidirect
15. #21452810C2semidirect
16. #21452204C2semidirect
17. #21452202C2semidirect
18. #21451600C2semidirect
19. #21451566C2semidirect
20. #21450380C2semidirect
21. #21450138C2semidirect
22. #21449576C2semidirect
23. #21449482C2semidirect
24. #21449377C2semidirect
25. #21449212C2semidirect
27. #21449141C2semidirect
28. #21448481C2semidirect
29. #21448393C2semidirect
30. #388×D61C2semidirect
31. C61×#2702C2semidirect
33. C2×#14519766C22semidirect
35. C2×#14519762C22semidirect
37. C2×#14519753C22semidirect
42. C2×C4×D244C22semidirect
43. C2×C4⋊C4×D61C22semidirect
48. C2×C42×D61C22semidirect
49. C61⋊#401C22semidirect
50. #16839704C22semidirect
51. #16839703C22semidirect
52. #16839703C22semidirect
53. #16839702C22semidirect
54. #16839702C22semidirect
56. #16839697C22semidirect
57. #16839697C22semidirect
58. #16839696C22semidirect
59. #16839695C22semidirect
60. #16839695C22semidirect
61. #16839692C22semidirect
63. #16839691C22semidirect
64. #16839690C22semidirect
65. #16839689C22semidirect
66. #16839689C22semidirect
68. #16839688C22semidirect
69. #16839688C22semidirect
70. #16839688C22semidirect
71. #16839687C22semidirect
72. #16839685C22semidirect
75. #16839684C22semidirect
76. #16839684C22semidirect
77. #16839684C22semidirect
80. #16839679C22semidirect
82. #16839678C22semidirect
85. #16839677C22semidirect
86. #16839677C22semidirect
91. #16839669C22semidirect
92. #16839664C22semidirect
94. #16839662C22semidirect
95. #16839656C22semidirect
96. #16839656C22semidirect
97. #16839655C22semidirect
98. #16839655C22semidirect
99. #16839655C22semidirect
104. #16839653C22semidirect
106. #16839652C22semidirect
107. #16839652C22semidirect
109. #16839651C22semidirect
110. #16839651C22semidirect
111. #16839651C22semidirect
112. #16839651C22semidirect
113. #16839650C22semidirect
114. #16839650C22semidirect
115. #16839650C22semidirect
116. #16839650C22semidirect
117. #16839647C22semidirect
118. #16839646C22semidirect
119. #16839643C22semidirect
120. #16839643C22semidirect
121. #16839643C22semidirect
124. #16839641C22semidirect
131. #16839640C22semidirect
132. #16839640C22semidirect
133. #16839640C22semidirect
135. #16839639C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
142. #16839637C22semidirect
144. #16839635C22semidirect
147. #16839633C22semidirect
148. #16839633C22semidirect
149. #16839633C22semidirect
150. #16839633C22semidirect
151. #16839630C22semidirect
152. #16839629C22semidirect
153. #16839627C22semidirect
154. #16839626C22semidirect
157. #16839624C22semidirect
158. #16839624C22semidirect
159. #16839621C22semidirect
160. #16839620C22semidirect
161. #16839620C22semidirect
162. #16839619C22semidirect
169. #16839609C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. C2×#126×C61C22semidirect
173. C2×C22⋊Q8×C61C22semidirect
174. C61×#400C22semidirect
175. C61×#398C22semidirect
176. C61×#396C22semidirect
179. C61×#393C22semidirect
180. C61×#391C22semidirect
181. C61×#389C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
186. C61×#380C22semidirect
802. #2702D61semidirect
832. C2×#126C2×D61semidirect
838. C2×C22⋊Q8C2×D61semidirect
856. #400C2×D61semidirect
864. #398C2×D61semidirect
881. #396C2×D61semidirect
895. #393C2×D61semidirect
899. #391C2×D61semidirect
903. #389C2×D61semidirect
926. #388C2×D61semidirect
927. #388C2×D61semidirect
928. #388C2×D61semidirect
976. #380C2×D61semidirect
986. C61#36779semidirect

Maximal subgroups

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

subgroupindex
#214541312
#214541232
#214534842
#214534832
#214534402
#214532572
#214532392
#214531992
#214531342
#214530372
#214529512
#214529312
#214528622
#214528552
#214528102
#214522042
#214522022
#214516002
#214515662
#214503802
#214501382
#214495762
#214494822
#214493772
#214492122
#214491882
#214491412
#214484812
#214483932
#388×D612
C61×#27022
#3677961