Finite Group Databasebeta

← #29887381

Subgroups — #29887381

Order 15616.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840331C211yesmaximal, characteristic, complemented
2C2×#16840323C211yesmaximal, characteristic, complemented
3#21454102C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452659C211yesmaximal, characteristic, complemented
6#21452551C211yesmaximal, characteristic, complemented
7#21452544C211yesmaximal, characteristic, complemented
8#21452542C211yesmaximal, characteristic, complemented
9#21452262C211yesmaximal, characteristic, complemented
10#21452260C211yesmaximal, characteristic, complemented
11#21452228C211yesmaximal, characteristic, complemented
12#21452226C211yesmaximal, characteristic, complemented
13#21452200C211yesmaximal, characteristic, complemented
14#21452088C211yesmaximal, characteristic, complemented
15#21452086C211yesmaximal, characteristic, complemented
16#21452062C211yesmaximal, characteristic, complemented
17#21452060C211yesmaximal, characteristic, complemented
18#21452034C211yesmaximal, characteristic, complemented
19#21452029C211yesmaximal, characteristic, complemented
20#21452028C211yesmaximal, characteristic, complemented
21#21451559C211yesmaximal, characteristic, complemented
22#21451556C211yesmaximal, characteristic, complemented
23#21450257C211yesmaximal, characteristic, complemented
24#21449431C211yesmaximal, characteristic, complemented
25#21449429C211yesmaximal, characteristic, complemented
26#21449212C211yesmaximal, characteristic, complemented
27#21449212C211yesmaximal, characteristic, complemented
28#21449192C211yesmaximal, characteristic, complemented
29#21449192C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2498C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic, complemented
33C23×D244C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic, complemented
36#16840331—28no—
37#16840323—28no—
38C2×#14519774C2211yescharacteristic
39C2×#14519774C2211yescharacteristic, complemented
40C2×#14519765C2211yescharacteristic
41C2×#14519765C2211yescharacteristic, complemented
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic, complemented
45C2×#14519762C2211yescharacteristic, complemented
46C2×#14519760C2211yescharacteristic
47C2×#14519752C2211yescharacteristic
48C2×#14519752C2211yescharacteristic
49C2×#14519752C2211yescharacteristic
50C2×#14519752C2211yescharacteristic
51C2×#14519752C2211yescharacteristic, complemented
52C2×#14519752C2211yescharacteristic, complemented
53C2×#14519752C2211yescharacteristic, complemented
54C2×#14519752C2211yescharacteristic, complemented
55C2×#14519751C2211yescharacteristic
56C2×#14519751C2211yescharacteristic
57C2×#14519750C2211yescharacteristic
58C2×#14519750C2211yescharacteristic
59C2×#14519750C2211yescharacteristic, complemented
60C2×#14519750C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic
62C2×#14519749C2211yescharacteristic
63C2×#14519747C2211yescharacteristic
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic
67C2×#14519747C2211yescharacteristic
68C2×#14519747C2211yescharacteristic, complemented
69C2×#14519747C2211yescharacteristic, complemented
70C2×#14519747C2211yescharacteristic, complemented
71C2×#14519747C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic
73C22×#11758198C2211yescharacteristic
74C22×#11758198C2211yescharacteristic
75C22×#11758198C2211yescharacteristic, complemented
76C2×C22⋊C4×D61C2211yescharacteristic
77#16839700C2211yescharacteristic, complemented
78#16839697C2211yescharacteristic, complemented
79#16839693C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic, complemented
84#16839689C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839688C2211yescharacteristic, complemented
87#16839688C2211yescharacteristic, complemented
88#16839688C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839682C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839680C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic, complemented
96#16839680C2211yescharacteristic, complemented
97#16839680C2211yescharacteristic, complemented
98#16839679C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic, complemented
100#16839679C2211yescharacteristic, complemented
101#16839679C2211yescharacteristic, complemented
102#16839679C2211yescharacteristic, complemented
103#16839679C2211yescharacteristic, complemented
104#16839679C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839678C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic, complemented
108#16839677C2211yescharacteristic, complemented
109#16839675C2211yescharacteristic, complemented
110#16839674C2211yescharacteristic, complemented
111#16839672C2211yescharacteristic, complemented
112#16839672C2211yescharacteristic, complemented
113#16839672C2211yescharacteristic, complemented
114#16839672C2211yescharacteristic, complemented
115#16839672C2211yescharacteristic, complemented
116#16839671C2211yescharacteristic, complemented
117#16839671C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic, complemented
119#16839671C2211yescharacteristic, complemented
120#16839671C2211yescharacteristic, complemented
121#16839653C2211yescharacteristic, complemented
122#16839653C2211yescharacteristic, complemented
123#16839646C2211yescharacteristic, complemented
124#16839646C2211yescharacteristic, complemented
125#16839641C2211yescharacteristic, complemented
126#16839641C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839639C2211yescharacteristic
148#16839639C2211yescharacteristic
149#16839639C2211yescharacteristic, complemented
150#16839639C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839636C2211yescharacteristic, complemented
158#16839636C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic, complemented
164#16839624C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839620C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic
175C2×#117×C61C2211yescharacteristic, complemented
176C61×#400C2211yescharacteristic, complemented
177C61×#399C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#380C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C2×#11758222—24no—
193C2×#11758222—42no—
194C2×#11758222—42no—
195C22×Dic122C2311yescharacteristic
196C22×D244—42no—
197C22×D244—42no—
198C22×D244D418yescomplemented
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C22×D244C2311yescharacteristic
213C22×D244C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C22×D244C2311yescharacteristic
216C22×D244C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C22×C22⋊D61C2311yescharacteristic
219C22×C22⋊D61C2311yescharacteristic
220C22×C22⋊D61C2311yescharacteristic
221C22×C22⋊D61C2311yescharacteristic
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C22×C22⋊D61C2311yescharacteristic
225C2×D4×D61—24no—
226C2×D4×D61—42no—
227C2×D4×D61—42no—
228C23×Dic61C2311yescharacteristic
229C23×Dic61C2311yescharacteristic
230C22×C4×D61—42no—
231C22×C4×D61—42no—
232C22×C4×D61—42no—
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2311yescharacteristic
237C22×C4×D61C2311yescharacteristic
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242#14519774—24no—
243#14519774—24no—
244#14519765—24no—
245#14519765—24no—
246#14519762—24no—
247#14519762—24no—
248#14519762—42no—
249#14519762—42no—
250#14519760—24no—
251#14519752—24no—
252#14519752—24no—
253#14519752—24no—
254#14519752—24no—
255#14519752—24no—
256#14519752—24no—
257#14519752—42no—
258#14519752—42no—
259#14519751—42no—
260#14519751—42no—
261#14519750—24no—
262#14519750—24no—
263#14519750—42no—
264#14519750—42no—
265#14519749—42no—
266#14519749—42no—
267#14519747—24no—
268#14519747—24no—
269#14519747—24no—
270#14519747—24no—
271#14519747—24no—
272#14519747—24no—
273#14519747—24no—
274#14519747—42no—
275#14519747—42no—
276#14519745—24no—
277C2×C4⋊Dic61C2311yescharacteristic
278C2×C4⋊Dic61C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×#11758198—42no—
291C2×#11758198—42no—
292C2×#11758198—42no—
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C22⋊C4×D61—24no—
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364#123×C61—24no—
365#117×C61—24no—
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C42×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61C2×D414yes—
419C23×D61C2×D414yes—
420C23×D61C2411yescharacteristic
421C23×D61C2411yescharacteristic
422C23×D61C2411yescharacteristic
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C22×C4×C61—22no—
431C22×C4×C61—22no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—22no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61C2×D414yes—
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491D4×D61—416no—
492#11758222—416no—
493C2×D244—22no—
494C2×D244—22no—
495C2×D244—22no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—22no—
499C2×D244—22no—
500C2×D244—22no—
501C2×D244—22no—
502C2×D244—22no—
503C2×D244—22no—
504C2×D244—22no—
505C2×D244—22no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—416no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244—41no—
515C2×D244—41no—
516C2×D244—41no—
517C2×D244—41no—
518C2×D244—41no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×D244—41no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244—41no—
529C2×D244—41no—
530C2×D244—41no—
531C2×D244—41no—
532C2×D244—41no—
533C2×D244—41no—
534C2×D244—41no—
535C2×D244—41no—
536C2×D244—41no—
537C2×D244—41no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—41no—
541C2×D244—41no—
542C2×D244—41no—
543C2×D244—41no—
544C2×D244C2×D414yes—
545C2×D244C2×D414yes—
546C2×D244C2×D414yes—
547C2×D244C2×D414yes—
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—22no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×C4×D61—41no—
563C2×C4×D61—41no—
564C2×C4×D61—41no—
565C2×C4×D61—41no—
566C2×C4×D61—41no—
567C2×C4×D61—41no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—416no—
572C2×C4×D61—41no—
573C2×C4×D61—41no—
574C2×C4×D61—41no—
575C2×C4×D61—41no—
576C2×Dic122—22no—
577C2×Dic122—41no—
578C2×Dic122—41no—
579C4⋊C4×C61—22no—
580C4⋊C4×C61—22no—
581C4⋊C4×C61—22no—
582C4⋊C4×C61—22no—
583C4⋊C4×C61—22no—
584C4⋊C4×C61—41no—
585C4⋊C4×C61—41no—
586C4⋊C4×C61—41no—
587C22⋊C4×C61—22no—
588C22⋊C4×C61—22no—
589C22⋊C4×C61—22no—
590C22⋊C4×C61—22no—
591C22⋊C4×C61—22no—
592C22⋊C4×C61—22no—
593C22⋊C4×C61—41no—
594C22⋊C4×C61—41no—
595C22⋊C4×C61—41no—
596C42×C61—22no—
597C42×C61—22no—
598C22⋊Dic61—22no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601#11758198—22no—
602#11758198—22no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—22no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198—41no—
634#11758198—41no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640#11758198—41no—
641#11758198—41no—
642#11758198—41no—
643#11758198—41no—
644#11758198—41no—
645#11758198—41no—
646#11758198—41no—
647C4⋊Dic61—41no—
648C4⋊Dic61—41no—
649#11758196—22no—
650#11758196—22no—
651#11758196—22no—
652#11758196—41no—
653#11758196—41no—
654#11758196—41no—
655#11758196—41no—
656#11758196—41no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61C22×D412yes—
669C23×C61H(5,𝔽2)12yes—
670C23×C61H(5,𝔽2)12yes—
671C23×C61C2511yescharacteristic
672C22×D61—28no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—28no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—44no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—44no—
727C22×D61—44no—
728C22×D61—82no—
729C22×D61—82no—
730C22×D61—82no—
731C22×D61—82no—
732C22×D61—82no—
733C22×D61—82no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61—82no—
737C22×D61—82no—
738C22×D61C22×D412yes—
739C22×D61C22×D412yes—
740C22×D61C22×D412yes—
741C22×D61C22×D412yes—
742D4×C61—44no—
743C2×C4×C61—28no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—44no—
781C2×C4×C61—82no—
782C2×C4×C61C22×D412yes—
783C2×C4×C61C22×D412yes—
784C2×C4×C61H(5,𝔽2)12yes—
785C22⋊D61—44no—
786C22⋊D61—44no—
787C22⋊D61—44no—
788C22⋊D61—44no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—44no—
820C2×Dic61—82no—
821C2×Dic61H(5,𝔽2)12yes—
822D244—44no—
823D244—44no—
824D244—44no—
825D244—44no—
826D244—44no—
827D244—44no—
828D244—82no—
829D244—82no—
830D244—82no—
831D244—82no—
832D244—82no—
833D244—82no—
834D244—82no—
835D244—82no—
836D244—82no—
837D244—82no—
838D244—82no—
839D244—82no—
840C4×D61—44no—
841C4×D61—44no—
842C4×D61—44no—
843C4×D61—44no—
844C4×D61—44no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—82no—
848C4×D61—82no—
849Dic122—44no—
850#36737—611nomaximal, Sylow
851C22×C61—22no—
852C22×C61—22no—
853C22×C61—22no—
854C22×C61—22no—
855C22×C61—22no—
856C22×C61—22no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61#53414yes—
865C22×C61C23×D411yescharacteristic
866C22×C61C2×H(5,𝔽2)11yescharacteristic
867C22×C61C2×H(5,𝔽2)11yescharacteristic
868C22×C61C2×H(5,𝔽2)11yescharacteristic
869C22×C61C2×H(5,𝔽2)11yescharacteristic
870C22×C61#58511yescharacteristic
871C22×C61#58511yescharacteristic
872C2×D61—22no—
873C2×D61—22no—
874C2×D61—22no—
875C2×D61—22no—
876C2×D61—22no—
877C2×D61—22no—
878C2×D61—22no—
879C2×D61—22no—
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—22no—
884C2×D61—416no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
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—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—88no—
923C2×D61—88no—
924C4×C61—22no—
925C4×C61—22no—
926C4×C61—22no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61—41no—
934C4×C61—41no—
935C4×C61—41no—
936C4×C61—41no—
937Dic61—22no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941Dic61—41no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946C2×#535—611no—
947C2×#534—611no—
948#2847—611no—
949#2847—611no—
950#2717—611no—
951#2709—611no—
952#2708—611no—
953#2708—611no—
954#2688—611no—
955#2688—611no—
956#2686—611no—
957#2686—611no—
958#2684—611no—
959#2673—611no—
960#2673—611no—
961#2671—611no—
962#2671—611no—
963#2669—611no—
964#2668—611no—
965#2668—611no—
966#2617—611no—
967#2617—611no—
968#2498—611no—
969#2498D6111yescharacteristic, complemented
970#2430—611no—
971#2430—611no—
972#2412—611no—
973#2412—611no—
974#2410—611no—
975#2410—611no—
976C2×#386—611no—
977C2×C61—24no—
978C2×C61—81no—
979C2×C61C2×#53411yescharacteristic
980C2×C61#349611yescharacteristic
981C2×C61#349611yescharacteristic
982C2×C61#353211yescharacteristic
983C2×C61#353311yescharacteristic
984C2×C61#354211yescharacteristic
985C2×C61#354211yescharacteristic
986D61—42no—
987D61—42no—
988D61—42no—
989D61—42no—
990D61—81no—
991D61—81no—
992D61—81no—
993C22×#41—611no—
994C23×D4—611no—
995C23×D4—611no—
996C24×C4—611no—
997#535—1228no—
998#534—1228no—
999C2×#127—611no—
1000C2×#127—611no—
1001C2×#124—611no—
1002C2×#124—611no—
1003C2×#123—611no—
1004C2×#123—611no—
1005C2×#123—611no—
1006C2×#123—611no—
1007C2×#123—611no—
1008C2×#123C2×D6111yescharacteristic
1009C2×#121—611no—
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—611no—
1022C2×#121—611no—
1023C2×#121—611no—
1024C2×#121—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×#120—611no—
1032C2×#120—611no—
1033C2×#120—611no—
1034C2×#120—611no—
1035C2×#117C2×D6111yescharacteristic, complemented
1036C22×C22⋊C4—611no—
1037C22×C22⋊C4—611no—
1038C22×C22⋊C4—611no—
1039C22×C22⋊C4—611no—
1040#400—611no—
1041#400C2×D6111yescharacteristic, complemented
1042#399—611no—
1043#399C2×D6111yescharacteristic, complemented
1044#398—611no—
1045#398C2×D6111yescharacteristic, complemented
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#397—611no—
1051#397—611no—
1052#397—611no—
1053#397—611no—
1054#397—611no—
1055#397C2×D6111yescharacteristic, complemented
1056#395—611no—
1057#395—611no—
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394—611no—
1069#394—611no—
1070#394—611no—
1071#394—611no—
1072#394—611no—
1073#394—611no—
1074#394—611no—
1075#394—611no—
1076#393—611no—
1077#393—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392—611no—
1086#392—611no—
1087#392—611no—
1088#388—611no—
1089#388—611no—
1090#388C2×D6111yescharacteristic, complemented
1091#388C2×D6111yescharacteristic, complemented
1092#387—611no—
1093#387—611no—
1094#387C2×D6111yescharacteristic, complemented
1095#387C2×D6111yescharacteristic, complemented
1096#386—611no—
1097#386—611no—
1098#386—611no—
1099#386—611no—
1100#386—611no—
1101#386—611no—
1102#386—611no—
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#386—611no—
1111#386—611no—
1112#386—611no—
1113#386—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386—611no—
1125#386—611no—
1126#386C2×D6111yescharacteristic
1127#386C2×D6111yescharacteristic
1128#385—611no—
1129#385—611no—
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#385—611no—
1135#385—611no—
1136#381—611no—
1137#381—611no—
1138#380—611no—
1139#380—611no—
1140#380—611no—
1141#380—611no—
1142#380—611no—
1143#380—611no—
1144#380C2×D6111yescharacteristic, complemented
1145#380C2×D6111yescharacteristic, complemented
1146#379—611no—
1147#379—611no—
1148C2×#95—611no—
1149C2×#95C2×D6111yescharacteristic, complemented
1150C61#3673711yescharacteristic, complemented, Sylow
1151C25—611no—
1152C25—611no—
1153C25—611no—
1154C2×#41—1224no—
1155C2×#41—2442no—
1156C2×#41—2442no—
1157C22×Q8—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—618no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—1224no—
1186C22×D4—2442no—
1187C22×D4—2442no—
1188C22×D4—2442no—
1189C22×D4—2442no—
1190C22×D4C22×D6111yescharacteristic
1191C23×C4—611no—
1192C23×C4—611no—
1193C23×C4—611no—
1194C23×C4—611no—
1195C23×C4—611no—
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—611no—
1201C23×C4—611no—
1202C23×C4—2442no—
1203C23×C4—2442no—
1204C23×C4—2442no—
1205C23×C4C22×D6111yescharacteristic
1206C23×C4C22×D6111yescharacteristic
1207C23×C4C22×D6111yescharacteristic
1208#127—1224no—
1209#127—1224no—
1210#124—1224no—
1211#124—1224no—
1212#123—24no—
1213#123—1224no—
1214#123—1224no—
1215#123—1224no—
1216#123—2442no—
1217#123—2442no—
1218#121—1224no—
1219#121—1224no—
1220#121—1224no—
1221#121—1224no—
1222#121—1224no—
1223#121—1224no—
1224#121—1224no—
1225#121—1224no—
1226#121—2442no—
1227#121—2442no—
1228#121—2442no—
1229#121—2442no—
1230#121—2442no—
1231#121—2442no—
1232#121—2442no—
1233#121—2442no—
1234#120—1224no—
1235#120—1224no—
1236#120—1224no—
1237#120—1224no—
1238#120—1224no—
1239#120—1224no—
1240#120—1224no—
1241#120—1224no—
1242#120—2442no—
1243#120—2442no—
1244#117—24no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—611no—
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C4⋊C4C22×D6111yescharacteristic
1258C2×C4⋊C4C22×D6111yescharacteristic
1259C2×C4⋊C4C22×D6111yescharacteristic
1260C2×C4⋊C4C22×D6111yescharacteristic
1261C2×C4⋊C4C22×D6111yescharacteristic
1262C2×C4⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—1224no—
1313C2×C22⋊C4—2442no—
1314C2×C22⋊C4—2442no—
1315C2×C22⋊C4—2442no—
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C22⋊C4C22×D6111yescharacteristic
1323C2×C22⋊C4C22×D6111yescharacteristic
1324C2×C22⋊C4C22×D6111yescharacteristic
1325C2×C42C22×D6111yescharacteristic
1326C2×C42C22×D6111yescharacteristic
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95C22×D6111yescharacteristic
1348#95C22×D6111yescharacteristic
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353#95C22×D6111yescharacteristic
1354#95C22×D6111yescharacteristic
1355#95C22×D6111yescharacteristic
1356#95C22×D6111yescharacteristic
1357#95C22×D6111yescharacteristic
1358#95C22×D6111yescharacteristic
1359C24—611no—
1360C24—611no—
1361C24—611no—
1362C24—611no—
1363C24—614no—
1364C24—614no—
1365C24—611no—
1366C24—611no—
1367C24—611no—
1368C24—1222no—
1369C24—1222no—
1370C24—1222no—
1371C24—1222no—
1372C24—1222no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24—2441no—
1380C24—2441no—
1381C24—2441no—
1382C24—2441no—
1383C24—2441no—
1384C24—2441no—
1385C24—2441no—
1386C24—2441no—
1387C24C23×D6111yescharacteristic
1388C24C23×D6111yescharacteristic
1389#41—24416no—
1390C2×Q8—1222no—
1391C2×Q8—2441no—
1392C2×Q8—2441no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—614no—
1397C2×D4—614no—
1398C2×D4—614no—
1399C2×D4—614no—
1400C2×D4—1222no—
1401C2×D4—1222no—
1402C2×D4—1222no—
1403C2×D4—1222no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—1222no—
1413C2×D4—1222no—
1414C2×D4—1222no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4—2441no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—24416no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—2441no—
1468C2×D4—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—2441no—
1472C2×D4—2441no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—24416no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1222no—
1500C22×C4—1222no—
1501C22×C4—1222no—
1502C22×C4—1222no—
1503C22×C4—1222no—
1504C22×C4—1222no—
1505C22×C4—2441no—
1506C22×C4—2441no—
1507C22×C4—2441no—
1508C22×C4—2441no—
1509C22×C4—2441no—
1510C22×C4—2441no—
1511C22×C4—2441no—
1512C22×C4—2441no—
1513C22×C4—2441no—
1514C22×C4—2441no—
1515C22×C4—2441no—
1516C22×C4—2441no—
1517C22×C4—2441no—
1518C22×C4—2441no—
1519C22×C4—2441no—
1520C22×C4—2441no—
1521C22×C4—2441no—
1522C22×C4—2441no—
1523C22×C4—24416no—
1524C22×C4—2441no—
1525C22×C4—2441no—
1526C22×C4—2441no—
1527C22×C4D4×D6114yes—
1528C22×C4C23×D6111yescharacteristic
1529C22×C4C23×D6111yescharacteristic
1530C22×C4C23×D6111yescharacteristic
1531C22×C4C23×D6111yescharacteristic
1532C22×C4C23×D6111yescharacteristic
1533C22×C4C23×D6111yescharacteristic
1534C22×C4C23×D6111yescharacteristic
1535C22×C4C23×D6111yescharacteristic
1536C22×C4C23×D6111yescharacteristic
1537C22×C4C23×D6111yescharacteristic
1538C22×C4C23×D6111yescharacteristic
1539C22×C4C23×D6111yescharacteristic
1540C22×C4C23×D6111yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—41no—
1547C4⋊C4—41no—
1548C4⋊C4—41no—
1549C4⋊C4—1222no—
1550C4⋊C4—1222no—
1551C4⋊C4—1222no—
1552C4⋊C4—2441no—
1553C4⋊C4—2441no—
1554C4⋊C4—2441no—
1555C4⋊C4—2441no—
1556C4⋊C4—2441no—
1557C4⋊C4—2441no—
1558C4⋊C4—2441no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—1222no—
1569C22⋊C4—1222no—
1570C22⋊C4—1222no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—1222no—
1581C22⋊C4—1222no—
1582C22⋊C4—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
1586C22⋊C4—1222no—
1587C22⋊C4—1222no—
1588C22⋊C4—1222no—
1589C22⋊C4—1222no—
1590C22⋊C4—1222no—
1591C22⋊C4—1222no—
1592C22⋊C4—2441no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4—2441no—
1605C22⋊C4—2441no—
1606C22⋊C4—2441no—
1607C22⋊C4—2441no—
1608C22⋊C4—2441no—
1609C22⋊C4—2441no—
1610C22⋊C4—2441no—
1611C22⋊C4—2441no—
1612C22⋊C4—2441no—
1613C22⋊C4—2441no—
1614C22⋊C4—2441no—
1615C22⋊C4—2441no—
1616C22⋊C4—2441no—
1617C42—22no—
1618C42—22no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—612no—
1631C23—612no—
1632C23—612no—
1633C23—612no—
1634C23—1228no—
1635C23—1228no—
1636C23—1221no—
1637C23—1221no—
1638C23—1221no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—1221no—
1650C23—1221no—
1651C23—1221no—
1652C23—1221no—
1653C23—1221no—
1654C23—1221no—
1655C23—1221no—
1656C23—1221no—
1657C23—1221no—
1658C23—1221no—
1659C23—1221no—
1660C23—1221no—
1661C23—1221no—
1662C23—1221no—
1663C23—1221no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—1221no—
1681C23—4882no—
1682C23—4882no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—4882no—
1689C23—4882no—
1690C23—4882no—
1691C23—2444no—
1692C23—2444no—
1693C23—2444no—
1694C23—2444no—
1695C23—2444no—
1696C23—2444no—
1697C23—2444no—
1698C23—2444no—
1699C23—2444no—
1700C23C2×D4×D6112yes—
1701C23#1451982312yes—
1702C23#1451982312yes—
1703C23C24×D6111yescharacteristic
1704Q8—2444no—
1705D4—44no—
1706D4—4882no—
1707D4—4882no—
1708D4—4882no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—4882no—
1718D4—4882no—
1719D4—4882no—
1720D4—4882no—
1721D4—4882no—
1722D4—2444no—
1723D4—2444no—
1724D4—2444no—
1725D4—2444no—
1726D4—2444no—
1727D4—2444no—
1728D4—2444no—
1729D4—2444no—
1730D4—2444no—
1731D4—2444no—
1732C2×C4—28no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
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—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—44no—
1770C2×C4—82no—
1771C2×C4—612no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—4882no—
1799C2×C4—4882no—
1800C2×C4—4882no—
1801C2×C4—2444no—
1802C2×C4—2444no—
1803C2×C4—2444no—
1804C2×C4—2444no—
1805C2×C4—2444no—
1806C2×C4—2444no—
1807C2×C4—2444no—
1808C2×C4—2444no—
1809C2×C4C2×D4×D6112yes—
1810C2×C4C2×D4×D6112yes—
1811C2×C4#1451982312yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—1222no—
1826C22—1222no—
1827C22—1222no—
1828C22—1222no—
1829C22—1222no—
1830C22—1222no—
1831C22—1222no—
1832C22—1222no—
1833C22—1222no—
1834C22—1222no—
1835C22—1222no—
1836C22—1222no—
1837C22—4888no—
1838C22—4888no—
1839C22—24416no—
1840C22—2441no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22—2441no—
1866C22—2441no—
1867C22—2441no—
1868C22—2441no—
1869C22—2441no—
1870C22—2441no—
1871C22—2441no—
1872C22—2441no—
1873C22—2441no—
1874C22—2441no—
1875C22—2441no—
1876C22—2441no—
1877C22#1684032314yes—
1878C22C22×D4×D6111yescharacteristic
1879C22H(5,𝔽2)×D6111yescharacteristic
1880C22C2×#1451982311yescharacteristic
1881C22C2×#1451982311yescharacteristic
1882C22C2×#1451982311yescharacteristic
1883C22#1684059811yescharacteristic
1884C22#1684059911yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—22no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—1222no—
1899C4—2441no—
1900C4—2441no—
1901C4—2441no—
1902C4—2441no—
1903C4—2441no—
1904C4—2441no—
1905C4—2441no—
1906C4—2441no—
1907C2—24no—
1908C2—81no—
1909C2—4881no—
1910C2—4881no—
1911C2—4881no—
1912C2—2442no—
1913C2—2442no—
1914C2—2442no—
1915C2—2442no—
1916C2C2×#1684032311yescharacteristic
1917C2#2145958111yescharacteristic
1918C2#2145958211yescharacteristic
1919C2#2145997511yescharacteristic
1920C2#2145998511yescharacteristic
1921C2#2146012811yescharacteristic
1922C2#2146012911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2498C2
hypercenter#2498D61
hypocenterC61#36737
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2498

Complements

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

NH ≅ G/Ntype
1. C2×#16840331C2semidirect
2. C2×#16840323C2semidirect
3. #21454102C2semidirect
4. #21454100C2semidirect
5. #21452659C2semidirect
6. #21452551C2semidirect
7. #21452544C2semidirect
8. #21452542C2semidirect
9. #21452262C2semidirect
10. #21452260C2semidirect
11. #21452228C2semidirect
12. #21452226C2semidirect
13. #21452200C2semidirect
14. #21452088C2semidirect
15. #21452086C2semidirect
16. #21452062C2semidirect
17. #21452060C2semidirect
18. #21452034C2semidirect
19. #21452029C2semidirect
20. #21452028C2semidirect
21. #21451559C2semidirect
22. #21451556C2semidirect
23. #21450257C2semidirect
24. #21449431C2semidirect
25. #21449429C2semidirect
26. #21449212C2semidirect
27. #21449212C2semidirect
28. #21449192C2semidirect
29. #21449192C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2498C2semidirect
32. C22×#11758222C22semidirect
35. C23×C4×D61C22semidirect
39. C2×#14519774C22semidirect
41. C2×#14519765C22semidirect
44. C2×#14519762C22semidirect
45. C2×#14519762C22semidirect
51. C2×#14519752C22semidirect
52. C2×#14519752C22semidirect
53. C2×#14519752C22semidirect
54. C2×#14519752C22semidirect
59. C2×#14519750C22semidirect
60. C2×#14519750C22semidirect
68. C2×#14519747C22semidirect
69. C2×#14519747C22semidirect
70. C2×#14519747C22semidirect
71. C2×#14519747C22semidirect
75. C22×#11758198C22semidirect
77. #16839700C22semidirect
78. #16839697C22semidirect
79. #16839693C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839691C22semidirect
84. #16839689C22semidirect
85. #16839689C22semidirect
86. #16839688C22semidirect
87. #16839688C22semidirect
88. #16839688C22semidirect
89. #16839683C22semidirect
90. #16839682C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839680C22semidirect
94. #16839680C22semidirect
95. #16839680C22semidirect
96. #16839680C22semidirect
97. #16839680C22semidirect
98. #16839679C22semidirect
99. #16839679C22semidirect
100. #16839679C22semidirect
101. #16839679C22semidirect
102. #16839679C22semidirect
103. #16839679C22semidirect
104. #16839679C22semidirect
105. #16839678C22semidirect
106. #16839678C22semidirect
107. #16839677C22semidirect
108. #16839677C22semidirect
109. #16839675C22semidirect
110. #16839674C22semidirect
111. #16839672C22semidirect
112. #16839672C22semidirect
113. #16839672C22semidirect
114. #16839672C22semidirect
115. #16839672C22semidirect
116. #16839671C22semidirect
117. #16839671C22semidirect
118. #16839671C22semidirect
119. #16839671C22semidirect
120. #16839671C22semidirect
121. #16839653C22semidirect
122. #16839653C22semidirect
123. #16839646C22semidirect
124. #16839646C22semidirect
125. #16839641C22semidirect
126. #16839641C22semidirect
131. #16839640C22semidirect
132. #16839640C22semidirect
133. #16839640C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
144. #16839640C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
149. #16839639C22semidirect
150. #16839639C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839636C22semidirect
156. #16839636C22semidirect
157. #16839636C22semidirect
158. #16839636C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
163. #16839624C22semidirect
164. #16839624C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
167. #16839620C22semidirect
168. #16839620C22semidirect
169. #16839619C22semidirect
170. #16839619C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. C2×#14519684C22semidirect
175. C2×#117×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#399C22semidirect
178. C61×#398C22semidirect
179. C61×#397C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#387C22semidirect
183. C61×#387C22semidirect
186. C61×#380C22semidirect
187. C61×#380C22semidirect
188. C2×#95×C61C22semidirect
198. C22×D244D4semidirect
969. #2498D61semidirect
1035. C2×#117C2×D61semidirect
1041. #400C2×D61semidirect
1043. #399C2×D61semidirect
1045. #398C2×D61semidirect
1055. #397C2×D61semidirect
1090. #388C2×D61semidirect
1091. #388C2×D61semidirect
1094. #387C2×D61semidirect
1095. #387C2×D61semidirect
1144. #380C2×D61semidirect
1145. #380C2×D61semidirect
1149. C2×#95C2×D61semidirect
1150. C61#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#168403312
C2×#168403232
#214541022
#214541002
#214526592
#214525512
#214525442
#214525422
#214522622
#214522602
#214522282
#214522262
#214522002
#214520882
#214520862
#214520622
#214520602
#214520342
#214520292
#214520282
#214515592
#214515562
#214502572
#214494312
#214494292
#214492122
#214491922
C2×#168396402
C61×#24982
#3673761