Finite Group Databasebeta

← #29887522

Subgroups — #29887522

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840367C211yesmaximal, characteristic, complemented
2C2×#16840346C211yesmaximal, characteristic, complemented
3#21454163C211yesmaximal, characteristic, complemented
4#21454146C211yesmaximal, characteristic, complemented
5#21452717C211yesmaximal, characteristic, complemented
6#21452618C211yesmaximal, characteristic, complemented
7#21452342C211yesmaximal, characteristic, complemented
8#21452178C211yesmaximal, characteristic, complemented
9#21452163C211yesmaximal, characteristic, complemented
10#21452151C211yesmaximal, characteristic, complemented
11#21452119C211yesmaximal, characteristic, complemented
12#21452111C211yesmaximal, characteristic, complemented
13#21452086C211yesmaximal, characteristic, complemented
14#21452083C211yesmaximal, characteristic, complemented
15#21452069C211yesmaximal, characteristic, complemented
16#21452056C211yesmaximal, characteristic, complemented
17#21452054C211yesmaximal, characteristic, complemented
18#21452038C211yesmaximal, characteristic, complemented
19#21452034C211yesmaximal, characteristic, complemented
20#21452024C211yesmaximal, characteristic, complemented
21#21451951C211yesmaximal, characteristic, complemented
22#21451949C211yesmaximal, characteristic, complemented
23#21451446C211yesmaximal, characteristic, complemented
24#21451436C211yesmaximal, characteristic, complemented
25#21451416C211yesmaximal, characteristic, complemented
26#21450759C211yesmaximal, characteristic, complemented
27#21450748C211yesmaximal, characteristic, complemented
28#21449234C211yesmaximal, characteristic, complemented
29#21449203C211yesmaximal, characteristic, complemented
30#21448263C211yesmaximal, characteristic, complemented
31C61×#2610C211yesmaximal, characteristic, complemented
32#16840367—28no—
33#16840346—28no—
34C2×#14519774C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519771C2211yescharacteristic
37C2×#14519770C2211yescharacteristic
38C2×#14519769C2211yescharacteristic, complemented
39C2×#14519766C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic, complemented
44C2×#14519762C2211yescharacteristic, complemented
45C2×#14519761C2211yescharacteristic
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic
48C2×#14519753C2211yescharacteristic
49C2×#14519753C2211yescharacteristic, complemented
50C2×#14519753C2211yescharacteristic, complemented
51C2×#14519752C2211yescharacteristic
52C2×#14519751C2211yescharacteristic
53C2×#14519751C2211yescharacteristic, complemented
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic
58C2×#14519750C2211yescharacteristic
59C2×#14519750C2211yescharacteristic
60C2×#14519750C2211yescharacteristic, complemented
61C2×#14519750C2211yescharacteristic, complemented
62C2×#14519750C2211yescharacteristic, complemented
63C2×#14519749C2211yescharacteristic
64C2×#14519749C2211yescharacteristic, complemented
65C2×#14519748C2211yescharacteristic
66C2×#14519748C2211yescharacteristic
67C2×#14519748C2211yescharacteristic, complemented
68C2×#14519747C2211yescharacteristic
69C2×#14519747C2211yescharacteristic
70C2×#14519747C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×#14519745C2211yescharacteristic
73C2×C4×D244C2211yescharacteristic
74C2×C4×D244C2211yescharacteristic, complemented
75C2×#14519737C2211yescharacteristic
76C2×#14519734C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C42×D61C2211yescharacteristic, complemented
79#16839698C2211yescharacteristic
80#16839698C2211yescharacteristic
81#16839698C2211yescharacteristic, complemented
82#16839697C2211yescharacteristic
83#16839696C2211yescharacteristic, complemented
84#16839695C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839694C2211yescharacteristic, complemented
87#16839691C2211yescharacteristic
88#16839691C2211yescharacteristic, complemented
89#16839690C2211yescharacteristic
90#16839689C2211yescharacteristic
91#16839686C2211yescharacteristic
92#16839685C2211yescharacteristic
93#16839685C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic
95#16839680C2211yescharacteristic
96#16839680C2211yescharacteristic
97#16839680C2211yescharacteristic
98#16839680C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic
100#16839679C2211yescharacteristic, complemented
101#16839678C2211yescharacteristic
102#16839678C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic
105#16839677C2211yescharacteristic
106#16839677C2211yescharacteristic
107#16839677C2211yescharacteristic
108#16839677C2211yescharacteristic, complemented
109#16839672C2211yescharacteristic
110#16839672C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic
115#16839671C2211yescharacteristic
116#16839671C2211yescharacteristic
117#16839671C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic
120#16839670C2211yescharacteristic
121#16839670C2211yescharacteristic
122#16839670C2211yescharacteristic
123#16839664C2211yescharacteristic
124#16839664C2211yescharacteristic
125#16839662C2211yescharacteristic
126#16839662C2211yescharacteristic
127#16839662C2211yescharacteristic
128#16839662C2211yescharacteristic
129#16839662C2211yescharacteristic
130#16839662C2211yescharacteristic, complemented
131#16839662C2211yescharacteristic, complemented
132#16839662C2211yescharacteristic, complemented
133#16839662C2211yescharacteristic, complemented
134#16839659C2211yescharacteristic, complemented
135#16839657C2211yescharacteristic, complemented
136#16839657C2211yescharacteristic, complemented
137#16839656C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic
139#16839654C2211yescharacteristic
140#16839654C2211yescharacteristic, complemented
141#16839653C2211yescharacteristic
142#16839653C2211yescharacteristic, complemented
143#16839653C2211yescharacteristic, complemented
144#16839652C2211yescharacteristic
145#16839651C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic
147#16839647C2211yescharacteristic, complemented
148#16839647C2211yescharacteristic, complemented
149#16839646C2211yescharacteristic, complemented
150#16839644C2211yescharacteristic, complemented
151#16839641C2211yescharacteristic
152#16839640C2211yescharacteristic
153#16839640C2211yescharacteristic
154#16839640C2211yescharacteristic
155#16839640C2211yescharacteristic
156#16839640C2211yescharacteristic
157#16839640C2211yescharacteristic, complemented
158#16839639C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic
160#16839636C2211yescharacteristic
161#16839636C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839636C2211yescharacteristic, complemented
164#16839636C2211yescharacteristic, complemented
165#16839635C2211yescharacteristic, complemented
166#16839634C2211yescharacteristic, complemented
167#16839631C2211yescharacteristic, complemented
168#16839621C2211yescharacteristic, complemented
169#16839620C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic
171C4×C4⋊Dic61C2211yescharacteristic, complemented
172C4×#11758198C2211yescharacteristic
173C4×#11758198C2211yescharacteristic, complemented
174C2×#124×C61C2211yescharacteristic
175C2×#117×C61C2211yescharacteristic, complemented
176C61×#395C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#393C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic
181C61×#390C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic
183C61×#388C2211yescharacteristic
184C61×#388C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic
187C61×#386C2211yescharacteristic, complemented
188C61×#376C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220#14519774—24no—
221#14519773—42no—
222#14519771—24no—
223#14519770—24no—
224#14519769—24no—
225#14519766—24no—
226#14519762—24no—
227#14519762—24no—
228#14519762—24no—
229#14519762—24no—
230#14519762—42no—
231#14519761—24no—
232#14519759—24no—
233#14519759—42no—
234#14519753—24no—
235#14519753—42no—
236#14519753—42no—
237#14519752—42no—
238#14519751—24no—
239#14519751—24no—
240#14519750—24no—
241#14519750—24no—
242#14519750—24no—
243#14519750—24no—
244#14519750—24no—
245#14519750—24no—
246#14519750—42no—
247#14519750—42no—
248#14519750—42no—
249#14519749—24no—
250#14519749—42no—
251#14519748—42no—
252#14519748—42no—
253#14519748—42no—
254#14519747—24no—
255#14519747—42no—
256#14519747—42no—
257#14519745—24no—
258#14519745—42no—
259C4×D244—24no—
260C4×D244D418yescomplemented
261#14519737—24no—
262#14519734—42no—
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
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
331C22⋊C4×D61—24no—
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C42×D61—42no—
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
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
354C22×Q8×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#124×C61—24no—
360#117×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×Q8×C61—22no—
407C2×Q8×C61—41no—
408C2×Q8×C61—41no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C22×C4×C61—22no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
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—
472C22×Dic61—22no—
473C22×Dic61—41no—
474C22×Dic61—41no—
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—41no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244C2×D414yes—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61C2×D414yes—
533C2×C4×D61C2×D414yes—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C42×C61—22no—
553C42×C61—22no—
554C42×C61—41no—
555C42×C61C2×D414yes—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—22no—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198C2×D414yes—
599#11758198C2×D414yes—
600C4⋊Dic61—22no—
601C4⋊Dic61—22no—
602C4⋊Dic61—22no—
603C4⋊Dic61—22no—
604C4⋊Dic61—41no—
605C4⋊Dic61—41no—
606C4⋊Dic61C2×D414yes—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—22no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624C4×Dic61—22no—
625C4×Dic61—22no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61—41no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61C2511yescharacteristic
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
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—44no—
685C22×D61—82no—
686C22×D61—82no—
687C22×D61—82no—
688C22×D61—82no—
689C22×D61—82no—
690C22×D61—82no—
691C22×D61C22×D412yes—
692C22×D61C22×D412yes—
693Q8×C61—82no—
694D4×C61—82no—
695D4×C61—82no—
696D4×C61—82no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—44no—
730C2×C4×C61C22×D412yes—
731C2×C4×C61C22×D412yes—
732C2×C4×C61C22×D412yes—
733C2×C4×C61H(5,𝔽2)12yes—
734C22⋊D61—44no—
735C22⋊D61—82no—
736C22⋊D61—82no—
737C22⋊D61—82no—
738C22⋊D61—82no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—82no—
777C2×Dic61C22×D412yes—
778C2×Dic61C22×D412yes—
779C2×Dic61H(5,𝔽2)12yes—
780C2×Dic61H(5,𝔽2)12yes—
781D244—44no—
782D244—44no—
783D244—82no—
784D244—82no—
785D244—82no—
786D244—82no—
787D244—82no—
788D244—82no—
789D244—82no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—44no—
793C4×D61—44no—
794C4×D61—82no—
795C4×D61—82no—
796C4×D61—82no—
797#36744—611nomaximal, Sylow
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61C23×D411yescharacteristic
820C22×C61C2×H(5,𝔽2)11yescharacteristic
821C22×C61C2×H(5,𝔽2)11yescharacteristic
822C22×C61C2×H(5,𝔽2)11yescharacteristic
823C22×C61#58511yescharacteristic
824C22×C61#58511yescharacteristic
825C22×C61#58511yescharacteristic
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—22no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—88no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—22no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874Dic61—22no—
875Dic61—22no—
876Dic61—22no—
877Dic61—22no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540—611no—
886C2×#538—611no—
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694—611no—
892#2681—611no—
893#2680—611no—
894#2678—611no—
895#2676—611no—
896#2675—611no—
897#2673—611no—
898#2673—611no—
899#2672—611no—
900#2671—611no—
901#2671—611no—
902#2669—611no—
903#2669—611no—
904#2668—611no—
905#2661—611no—
906#2661—611no—
907#2610D6111yescharacteristic, complemented
908#2603—611no—
909#2602—611no—
910#2601—611no—
911#2540—611no—
912#2539—611no—
913#2414—611no—
914#2411—611no—
915#2290—611no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61—81no—
919C2×C61#344911yescharacteristic
920C2×C61#349611yescharacteristic
921C2×C61#349811yescharacteristic
922C2×C61#353411yescharacteristic
923C2×C61#354211yescharacteristic
924C2×C61#355111yescharacteristic
925C2×C61#356211yescharacteristic
926D61—42no—
927D61—42no—
928D61—81no—
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—1228no—
933C2×#127—611no—
934C2×#127—611no—
935C2×#126—611no—
936C2×#126—611no—
937C2×#125—611no—
938C2×#124—611no—
939C2×#124C2×D6111yescharacteristic
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123—611no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8—611no—
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977C2×#117C2×D6111yescharacteristic, complemented
978C22×C22⋊C4—611no—
979C22×C42—611no—
980#399—611no—
981#399—611no—
982#399—611no—
983#399—611no—
984#398—611no—
985#398—611no—
986#398—611no—
987#398—611no—
988#397—611no—
989#397—611no—
990#397—611no—
991#397—611no—
992#396—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#395C2×D6111yescharacteristic, complemented
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394C2×D6111yescharacteristic
1012#393C2×D6111yescharacteristic, complemented
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392C2×D6111yescharacteristic
1028#390—611no—
1029#390—611no—
1030#390—611no—
1031#390—611no—
1032#390—611no—
1033#390—611no—
1034#390—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390C2×D6111yescharacteristic
1040#390C2×D6111yescharacteristic, complemented
1041#389—611no—
1042#389—611no—
1043#389—611no—
1044#388—611no—
1045#388—611no—
1046#388—611no—
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388C2×D6111yescharacteristic
1055#388C2×D6111yescharacteristic
1056#388C2×D6111yescharacteristic, complemented
1057#388C2×D6111yescharacteristic, complemented
1058#387—611no—
1059#387—611no—
1060#387—611no—
1061#387—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386C2×D6111yescharacteristic
1072#386C2×D6111yescharacteristic, complemented
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#384—611no—
1081#380—611no—
1082#380—611no—
1083#379—611no—
1084C4×C4⋊C4—611no—
1085C4×C22⋊C4—611no—
1086C4×C22⋊C4—611no—
1087#376C2×D6111yescharacteristic, complemented
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25—611no—
1090C22×Q8C22×D6111yescharacteristic
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4C22×D6111yescharacteristic
1114C22×D4C22×D6111yescharacteristic
1115C22×D4C22×D6111yescharacteristic
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—611no—
1123C23×C4—611no—
1124C23×C4C22×D6111yescharacteristic
1125#127—1224no—
1126#127—2442no—
1127#126—1224no—
1128#126—1224no—
1129#125—1224no—
1130#124—24no—
1131#124—1224no—
1132#123—1224no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—1224no—
1138#123—2442no—
1139#123—2442no—
1140C22⋊Q8—1224no—
1141C22⋊Q8—2442no—
1142C22⋊Q8—2442no—
1143#121—1224no—
1144#121—1224no—
1145#121—1224no—
1146#121—1224no—
1147#121—1224no—
1148#121—1224no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#121—2442no—
1153#121—2442no—
1154#121—2442no—
1155#121—2442no—
1156#121—2442no—
1157#121—2442no—
1158#121—2442no—
1159#121—2442no—
1160#120—1224no—
1161#120—1224no—
1162#120—2442no—
1163#120—2442no—
1164#120—2442no—
1165C4×D4—618no—
1166C4×D4—1224no—
1167C4×D4—1224no—
1168#117—24no—
1169#117—2442no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—611no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6111yescharacteristic
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C4⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—1224no—
1243C2×C22⋊C4C22×D6111yescharacteristic
1244C2×C22⋊C4C22×D6111yescharacteristic
1245C2×C22⋊C4C22×D6111yescharacteristic
1246C2×C22⋊C4C22×D6111yescharacteristic
1247C2×C22⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C42—611no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—2442no—
1263C2×C42C22×D6111yescharacteristic
1264C2×C42C22×D6111yescharacteristic
1265C2×C42C22×D6111yescharacteristic
1266C2×C42C22×D6111yescharacteristic
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95C22×D6111yescharacteristic
1284#95C22×D6111yescharacteristic
1285#95C22×D6111yescharacteristic
1286#95C22×D6111yescharacteristic
1287#95C22×D6111yescharacteristic
1288#95C22×D6111yescharacteristic
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291C24—611no—
1292C24—611no—
1293C24—611no—
1294C24—611no—
1295C24—611no—
1296C24—1222no—
1297C24—2441no—
1298C24—2441no—
1299C24—2441no—
1300C24—2441no—
1301C24—2441no—
1302C24—2441no—
1303C24C23×D6111yescharacteristic
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—614no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—614no—
1392C22×C4—614no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—1222no—
1401C22×C4—1222no—
1402C22×C4—1222no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
1406C22×C4—1222no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4—2441no—
1414C22×C4—2441no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—2441no—
1420C22×C4—2441no—
1421C22×C4—2441no—
1422C22×C4C23×D6111yescharacteristic
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—614no—
1439C4⋊C4—1222no—
1440C4⋊C4—1222no—
1441C4⋊C4—1222no—
1442C4⋊C4—1222no—
1443C4⋊C4—1222no—
1444C4⋊C4—1222no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4—2441no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—614no—
1477C22⋊C4—614no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
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—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
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—
1520C42—22no—
1521C42—22no—
1522C42—41no—
1523C42—1222no—
1524C42—1222no—
1525C42—2441no—
1526C42—2441no—
1527C42—2441no—
1528C42D4×D6114yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—612no—
1551C23—612no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—4882no—
1586C23—4882no—
1587C23—4882no—
1588C23—4882no—
1589C23—4882no—
1590C23—4882no—
1591C23—2444no—
1592C23C24×D6111yescharacteristic
1593Q8—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—4882no—
1598D4—4882no—
1599D4—4882no—
1600D4—4882no—
1601D4—4882no—
1602D4—4882no—
1603D4—4882no—
1604D4—4882no—
1605D4—4882no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—2444no—
1617D4—2444no—
1618D4—2444no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—44no—
1652C2×C4—612no—
1653C2×C4—612no—
1654C2×C4—612no—
1655C2×C4—612no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—4882no—
1686C2×C4—4882no—
1687C2×C4—4882no—
1688C2×C4—4882no—
1689C2×C4—2444no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4—2444no—
1693C2×C4C2×D4×D6112yes—
1694C2×C4C2×D4×D6112yes—
1695C2×C4C2×D4×D6112yes—
1696C2×C4#1451982312yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—1222no—
1719C22—1222no—
1720C22—1222no—
1721C22—1222no—
1722C22—1222no—
1723C22—1222no—
1724C22—4888no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22C22×D4×D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22H(5,𝔽2)×D6111yescharacteristic
1757C22C2×#1451982311yescharacteristic
1758C22#1684059811yescharacteristic
1759C22#1684059811yescharacteristic
1760C22#1684059811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—1222no—
1774C4—1222no—
1775C4—1222no—
1776C4—1222no—
1777C4—2441no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—4881no—
1788C2—4881no—
1789C2—4881no—
1790C2—2442no—
1791C2—2442no—
1792C2#2145914911yescharacteristic
1793C2#2145958111yescharacteristic
1794C2#2145959411yescharacteristic
1795C2#2146001211yescharacteristic
1796C2#2146014211yescharacteristic
1797C2#2146023411yescharacteristic
1798C2#2146040011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2610C2
hypercenter#2610D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2610

Complements

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

NH ≅ G/Ntype
1. C2×#16840367C2semidirect
2. C2×#16840346C2semidirect
3. #21454163C2semidirect
4. #21454146C2semidirect
5. #21452717C2semidirect
6. #21452618C2semidirect
7. #21452342C2semidirect
8. #21452178C2semidirect
9. #21452163C2semidirect
10. #21452151C2semidirect
11. #21452119C2semidirect
12. #21452111C2semidirect
13. #21452086C2semidirect
14. #21452083C2semidirect
15. #21452069C2semidirect
16. #21452056C2semidirect
17. #21452054C2semidirect
18. #21452038C2semidirect
19. #21452034C2semidirect
20. #21452024C2semidirect
21. #21451951C2semidirect
22. #21451949C2semidirect
23. #21451446C2semidirect
24. #21451436C2semidirect
25. #21451416C2semidirect
26. #21450759C2semidirect
27. #21450748C2semidirect
28. #21449234C2semidirect
29. #21449203C2semidirect
30. #21448263C2semidirect
31. C61×#2610C2semidirect
38. C2×#14519769C22semidirect
43. C2×#14519762C22semidirect
44. C2×#14519762C22semidirect
49. C2×#14519753C22semidirect
50. C2×#14519753C22semidirect
53. C2×#14519751C22semidirect
60. C2×#14519750C22semidirect
61. C2×#14519750C22semidirect
62. C2×#14519750C22semidirect
64. C2×#14519749C22semidirect
67. C2×#14519748C22semidirect
74. C2×C4×D244C22semidirect
78. C2×C42×D61C22semidirect
81. #16839698C22semidirect
83. #16839696C22semidirect
84. #16839695C22semidirect
85. #16839695C22semidirect
86. #16839694C22semidirect
88. #16839691C22semidirect
93. #16839685C22semidirect
98. #16839680C22semidirect
100. #16839679C22semidirect
102. #16839678C22semidirect
103. #16839678C22semidirect
108. #16839677C22semidirect
117. #16839671C22semidirect
118. #16839671C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839662C22semidirect
134. #16839659C22semidirect
135. #16839657C22semidirect
136. #16839657C22semidirect
137. #16839656C22semidirect
140. #16839654C22semidirect
142. #16839653C22semidirect
143. #16839653C22semidirect
145. #16839651C22semidirect
147. #16839647C22semidirect
148. #16839647C22semidirect
149. #16839646C22semidirect
150. #16839644C22semidirect
157. #16839640C22semidirect
158. #16839639C22semidirect
161. #16839636C22semidirect
162. #16839636C22semidirect
163. #16839636C22semidirect
164. #16839636C22semidirect
165. #16839635C22semidirect
166. #16839634C22semidirect
167. #16839631C22semidirect
168. #16839621C22semidirect
169. #16839620C22semidirect
171. C4×C4⋊Dic61C22semidirect
173. C4×#11758198C22semidirect
175. C2×#117×C61C22semidirect
176. C61×#395C22semidirect
178. C61×#393C22semidirect
181. C61×#390C22semidirect
184. C61×#388C22semidirect
185. C61×#388C22semidirect
187. C61×#386C22semidirect
188. C61×#376C22semidirect
260. C4×D244D4semidirect
907. #2610D61semidirect
977. C2×#117C2×D61semidirect
996. #395C2×D61semidirect
1012. #393C2×D61semidirect
1040. #390C2×D61semidirect
1056. #388C2×D61semidirect
1057. #388C2×D61semidirect
1072. #386C2×D61semidirect
1087. #376C2×D61semidirect
1088. C61#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168403672
C2×#168403462
#214541632
#214541462
#214527172
#214526182
#214523422
#214521782
#214521632
#214521512
#214521192
#214521112
#214520862
#214520832
#214520692
#214520562
#214520542
#214520382
#214520342
#214520242
#214519512
#214519492
#214514462
#214514362
#214514162
#214507592
#214507482
#214492342
#214492032
#214482632
C61×#26102
#3674461