Finite Group Databasebeta

← #29887535

Subgroups — #29887535

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×#16840365C211yesmaximal, characteristic, complemented
2C2×#16840351C211yesmaximal, characteristic, complemented
3#21454163C211yesmaximal, characteristic, complemented
4#21454149C211yesmaximal, characteristic, complemented
5#21452710C211yesmaximal, characteristic, complemented
6#21452337C211yesmaximal, characteristic, complemented
7#21452168C211yesmaximal, characteristic, complemented
8#21452155C211yesmaximal, characteristic, complemented
9#21452139C211yesmaximal, characteristic, complemented
10#21452117C211yesmaximal, characteristic, complemented
11#21452111C211yesmaximal, characteristic, complemented
12#21452092C211yesmaximal, characteristic, complemented
13#21452080C211yesmaximal, characteristic, complemented
14#21452068C211yesmaximal, characteristic, complemented
15#21452061C211yesmaximal, characteristic, complemented
16#21452058C211yesmaximal, characteristic, complemented
17#21452038C211yesmaximal, characteristic, complemented
18#21452030C211yesmaximal, characteristic, complemented
19#21452024C211yesmaximal, characteristic, complemented
20#21451953C211yesmaximal, characteristic, complemented
21#21451950C211yesmaximal, characteristic, complemented
22#21451502C211yesmaximal, characteristic, complemented
23#21451441C211yesmaximal, characteristic, complemented
24#21451437C211yesmaximal, characteristic, complemented
25#21451420C211yesmaximal, characteristic, complemented
26#21450752C211yesmaximal, characteristic, complemented
27#21450744C211yesmaximal, characteristic, complemented
28#21449240C211yesmaximal, characteristic, complemented
29#21449197C211yesmaximal, characteristic, complemented
30#21448257C211yesmaximal, characteristic, complemented
31C61×#2714C211yesmaximal, characteristic, complemented
32#16840365—28no—
33#16840351—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519772C2211yescharacteristic
37C2×#14519768C2211yescharacteristic, complemented
38C2×#14519765C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519761C2211yescharacteristic
42C2×#14519761C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic, complemented
48C2×#14519755C2211yescharacteristic
49C2×#14519754C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519752C2211yescharacteristic
52C2×#14519752C2211yescharacteristic
53C2×#14519751C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519750C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic
60C2×#14519749C2211yescharacteristic
61C2×#14519749C2211yescharacteristic
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519748C2211yescharacteristic
64C2×#14519748C2211yescharacteristic
65C2×#14519748C2211yescharacteristic, complemented
66C2×#14519748C2211yescharacteristic, complemented
67C2×#14519747C2211yescharacteristic
68C2×#14519747C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×C4×D244C2211yescharacteristic
73C2×D4×Dic61C2211yescharacteristic, complemented
74C2×#14519739C2211yescharacteristic
75C2×#14519736C2211yescharacteristic, complemented
76C2×#14519735C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C42×D61C2211yescharacteristic, complemented
79#16839699C2211yescharacteristic
80#16839699C2211yescharacteristic, complemented
81#16839698C2211yescharacteristic
82#16839698C2211yescharacteristic
83#16839696C2211yescharacteristic, complemented
84#16839694C2211yescharacteristic, complemented
85#16839693C2211yescharacteristic, complemented
86#16839692C2211yescharacteristic, complemented
87#16839691C2211yescharacteristic
88#16839689C2211yescharacteristic
89#16839687C2211yescharacteristic
90#16839685C2211yescharacteristic
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic
93#16839684C2211yescharacteristic
94#16839683C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic
96#16839680C2211yescharacteristic
97#16839680C2211yescharacteristic, complemented
98#16839679C2211yescharacteristic
99#16839678C2211yescharacteristic
100#16839678C2211yescharacteristic
101#16839678C2211yescharacteristic
102#16839678C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic
105#16839677C2211yescharacteristic
106#16839677C2211yescharacteristic
107#16839676C2211yescharacteristic, complemented
108#16839674C2211yescharacteristic, complemented
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic
116#16839670C2211yescharacteristic
117#16839670C2211yescharacteristic
118#16839670C2211yescharacteristic
119#16839670C2211yescharacteristic
120#16839670C2211yescharacteristic, complemented
121#16839665C2211yescharacteristic
122#16839665C2211yescharacteristic
123#16839665C2211yescharacteristic
124#16839664C2211yescharacteristic
125#16839662C2211yescharacteristic
126#16839662C2211yescharacteristic
127#16839662C2211yescharacteristic
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839661C2211yescharacteristic, complemented
132#16839660C2211yescharacteristic, complemented
133#16839660C2211yescharacteristic, complemented
134#16839656C2211yescharacteristic
135#16839656C2211yescharacteristic, complemented
136#16839655C2211yescharacteristic
137#16839655C2211yescharacteristic, complemented
138#16839655C2211yescharacteristic, complemented
139#16839655C2211yescharacteristic, complemented
140#16839654C2211yescharacteristic
141#16839654C2211yescharacteristic
142#16839654C2211yescharacteristic, complemented
143#16839654C2211yescharacteristic, complemented
144#16839653C2211yescharacteristic
145#16839651C2211yescharacteristic
146#16839650C2211yescharacteristic
147#16839648C2211yescharacteristic, complemented
148#16839646C2211yescharacteristic, complemented
149#16839643C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic
151#16839641C2211yescharacteristic, complemented
152#16839640C2211yescharacteristic
153#16839640C2211yescharacteristic
154#16839639C2211yescharacteristic
155#16839639C2211yescharacteristic
156#16839638C2211yescharacteristic
157#16839638C2211yescharacteristic
158#16839638C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839636C2211yescharacteristic
161#16839636C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839634C2211yescharacteristic, complemented
164#16839634C2211yescharacteristic, complemented
165#16839633C2211yescharacteristic, complemented
166#16839631C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170#16839613C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic
172#16839609C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C61×#397C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#392C2211yescharacteristic
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#390C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#387C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
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
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218#14519773—24no—
219#14519773—42no—
220#14519772—24no—
221#14519768—24no—
222#14519765—24no—
223#14519763—24no—
224#14519762—24no—
225#14519761—24no—
226#14519761—24no—
227#14519759—24no—
228#14519759—24no—
229#14519759—24no—
230#14519759—42no—
231#14519759—42no—
232#14519755—24no—
233#14519754—42no—
234#14519754—42no—
235#14519752—24no—
236#14519752—24no—
237#14519751—24no—
238#14519750—24no—
239#14519750—42no—
240#14519750—42no—
241#14519750—42no—
242#14519750—42no—
243#14519749—24no—
244#14519749—24no—
245#14519749—42no—
246#14519749—42no—
247#14519748—24no—
248#14519748—24no—
249#14519748—42no—
250#14519748—42no—
251#14519747—24no—
252#14519747—24no—
253#14519745—42no—
254#14519745—42no—
255#14519745—42no—
256C4×D244—24no—
257D4×Dic61—24no—
258#14519739D418yescomplemented
259#14519736—24no—
260#14519735—42no—
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
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
327C22⋊C4×D61—24no—
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C42×D61—42no—
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
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×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361#126×C61—24no—
362#121×C61—24no—
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊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×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
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61—22no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—41no—
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—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C22×C4×C61—22no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
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—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
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—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—41no—
483C22×Dic61—41no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C2×D244—22no—
499C2×D244—22no—
500C2×D244—22no—
501C2×D244—22no—
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—41no—
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×D61C2×D414yes—
530C2×C4×D61C2×D414yes—
531C2×Dic122—22no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61C2×D414yes—
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—22no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C42×C61—22no—
555C42×C61—41no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
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—22no—
585#11758198—22no—
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#11758198C2×D414yes—
598#11758198C2×D414yes—
599C4⋊Dic61—22no—
600C4⋊Dic61—22no—
601C4⋊Dic61—22no—
602C4⋊Dic61—22no—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—22no—
607C4⋊Dic61—41no—
608C4⋊Dic61—41no—
609C4⋊Dic61—41no—
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—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—22no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61C2×D414yes—
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×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61C2511yescharacteristic
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—
693D4×C61—44no—
694D4×C61—82no—
695D4×C61—82no—
696D4×C61—82no—
697D4×C61—82no—
698D4×C61—82no—
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—44no—
729C2×C4×C61C22×D412yes—
730C2×C4×C61C22×D412yes—
731C2×C4×C61C22×D412yes—
732C2×C4×C61H(5,𝔽2)12yes—
733C22⋊D61—82no—
734C22⋊D61—82no—
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—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—82no—
780C2×Dic61—82no—
781C2×Dic61C22×D412yes—
782C2×Dic61C22×D412yes—
783C2×Dic61H(5,𝔽2)12yes—
784C2×Dic61H(5,𝔽2)12yes—
785D244—44no—
786D244—44no—
787D244—82no—
788D244—82no—
789D244—82no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—44no—
793C4×D61—44no—
794C4×D61—82no—
795C4×D61—82no—
796Dic122—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×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61C23×D411yescharacteristic
827C22×C61C2×H(5,𝔽2)11yescharacteristic
828C22×C61C2×H(5,𝔽2)11yescharacteristic
829C22×C61C2×H(5,𝔽2)11yescharacteristic
830C22×C61#58511yescharacteristic
831C22×C61#58511yescharacteristic
832C22×C61#58511yescharacteristic
833C2×D61—22no—
834C2×D61—22no—
835C2×D61—22no—
836C2×D61—22no—
837C2×D61—22no—
838C2×D61—22no—
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—
873Dic61—22no—
874Dic61—22no—
875Dic61—22no—
876Dic61—22no—
877Dic61—41no—
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#2714D6111yescharacteristic, complemented
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#2610—611no—
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—81no—
920C2×C61#344911yescharacteristic
921C2×C61#349611yescharacteristic
922C2×C61#349811yescharacteristic
923C2×C61#353411yescharacteristic
924C2×C61#354211yescharacteristic
925C2×C61#355111yescharacteristic
926C2×C61#356211yescharacteristic
927D61—42no—
928D61—42no—
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—1228no—
933C2×#127—611no—
934C2×#127—611no—
935C2×#126—611no—
936C2×#126C2×D6111yescharacteristic
937C2×#125—611no—
938C2×#124—611no—
939C2×#124—611no—
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×#121C2×D6111yescharacteristic, complemented
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×#117—611no—
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#397C2×D6111yescharacteristic, complemented
992#396—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#395—611no—
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#394C2×D6111yescharacteristic
1011#394C2×D6111yescharacteristic, complemented
1012#393—611no—
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#392C2×D6111yescharacteristic
1026#392C2×D6111yescharacteristic
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#390C2×D6111yescharacteristic
1039#390C2×D6111yescharacteristic, complemented
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#388—611no—
1055#388—611no—
1056#388—611no—
1057#388C2×D6111yescharacteristic, complemented
1058#387—611no—
1059#387—611no—
1060#387—611no—
1061#387C2×D6111yescharacteristic, complemented
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#386—611no—
1072#386C2×D6111yescharacteristic
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385C2×D6111yescharacteristic, complemented
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#376—611no—
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25—611no—
1090C22×Q8—611no—
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×D4C22×D6111yescharacteristic
1111C22×D4C22×D6111yescharacteristic
1112C22×D4C22×D6111yescharacteristic
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—24no—
1128#126—1224no—
1129#125—1224no—
1130#124—1224no—
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—24no—
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—1224no—
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⋊C4C22×D6111yescharacteristic
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—1224no—
1242C2×C22⋊C4C22×D6111yescharacteristic
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—611no—
1263C2×C42—611no—
1264C2×C42—2442no—
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#95—611no—
1284#95—611no—
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—1222no—
1296C24—2441no—
1297C24—2441no—
1298C24—2441no—
1299C24—2441no—
1300C24—2441no—
1301C24—2441no—
1302C24C23×D6111yescharacteristic
1303C24C23×D6111yescharacteristic
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—1222no—
1307C2×Q8—2441no—
1308C2×Q8—2441no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—614no—
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—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
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—611no—
1401C22×C4—1222no—
1402C22×C4—1222no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
1406C22×C4—1222no—
1407C22×C4—1222no—
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×C4—2441no—
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—1222no—
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—2441no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4D4×D6114yes—
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—41no—
1477C22⋊C4—614no—
1478C22⋊C4—614no—
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—1222no—
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—41no—
1522C42—614no—
1523C42—1222no—
1524C42—1222no—
1525C42—1222no—
1526C42—2441no—
1527C42—2441no—
1528C42—2441no—
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—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—612no—
1558C23—612no—
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—4882no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
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—4882no—
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—44no—
1649C2×C4—612no—
1650C2×C4—612no—
1651C2×C4—612no—
1652C2×C4—612no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
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—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—1222no—
1726C22—1222no—
1727C22—1222no—
1728C22—1222no—
1729C22—1222no—
1730C22—1222no—
1731C22—4888no—
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#1684059711yescharacteristic
1759C22#1684059711yescharacteristic
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—1222no—
1773C4—1222no—
1774C4—1222no—
1775C4—1222no—
1776C4—2441no—
1777C4—2441no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—4881no—
1789C2—4881no—
1790C2—2442no—
1791C2—2442no—
1792C2#2145915011yescharacteristic
1793C2#2145957911yescharacteristic
1794C2#2145959611yescharacteristic
1795C2#2146001011yescharacteristic
1796C2#2146012411yescharacteristic
1797C2#2146024511yescharacteristic
1798C2#2146039411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2714C2
hypercenter#2714D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#16840365C2semidirect
2. C2×#16840351C2semidirect
3. #21454163C2semidirect
4. #21454149C2semidirect
5. #21452710C2semidirect
6. #21452337C2semidirect
7. #21452168C2semidirect
8. #21452155C2semidirect
9. #21452139C2semidirect
10. #21452117C2semidirect
11. #21452111C2semidirect
12. #21452092C2semidirect
13. #21452080C2semidirect
14. #21452068C2semidirect
15. #21452061C2semidirect
16. #21452058C2semidirect
17. #21452038C2semidirect
18. #21452030C2semidirect
19. #21452024C2semidirect
20. #21451953C2semidirect
21. #21451950C2semidirect
22. #21451502C2semidirect
23. #21451441C2semidirect
24. #21451437C2semidirect
25. #21451420C2semidirect
26. #21450752C2semidirect
27. #21450744C2semidirect
28. #21449240C2semidirect
29. #21449197C2semidirect
30. #21448257C2semidirect
31. C61×#2714C2semidirect
37. C2×#14519768C22semidirect
42. C2×#14519761C22semidirect
47. C2×#14519759C22semidirect
49. C2×#14519754C22semidirect
50. C2×#14519754C22semidirect
57. C2×#14519750C22semidirect
58. C2×#14519750C22semidirect
62. C2×#14519749C22semidirect
65. C2×#14519748C22semidirect
66. C2×#14519748C22semidirect
73. C2×D4×Dic61C22semidirect
75. C2×#14519736C22semidirect
78. C2×C42×D61C22semidirect
80. #16839699C22semidirect
83. #16839696C22semidirect
84. #16839694C22semidirect
85. #16839693C22semidirect
86. #16839692C22semidirect
91. #16839685C22semidirect
94. #16839683C22semidirect
97. #16839680C22semidirect
102. #16839678C22semidirect
103. #16839678C22semidirect
107. #16839676C22semidirect
108. #16839674C22semidirect
114. #16839671C22semidirect
120. #16839670C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839661C22semidirect
132. #16839660C22semidirect
133. #16839660C22semidirect
135. #16839656C22semidirect
137. #16839655C22semidirect
138. #16839655C22semidirect
139. #16839655C22semidirect
142. #16839654C22semidirect
143. #16839654C22semidirect
147. #16839648C22semidirect
148. #16839646C22semidirect
149. #16839643C22semidirect
151. #16839641C22semidirect
158. #16839638C22semidirect
159. #16839638C22semidirect
161. #16839636C22semidirect
162. #16839636C22semidirect
163. #16839634C22semidirect
164. #16839634C22semidirect
165. #16839633C22semidirect
166. #16839631C22semidirect
167. #16839619C22semidirect
168. #16839619C22semidirect
170. #16839613C22semidirect
172. #16839609C22semidirect
173. #16839607C22semidirect
175. C2×#121×C61C22semidirect
176. C61×#397C22semidirect
178. C61×#394C22semidirect
183. C61×#390C22semidirect
184. C61×#390C22semidirect
185. C61×#388C22semidirect
186. C61×#387C22semidirect
188. C61×#385C22semidirect
258. #14519739D4semidirect
890. #2714D61semidirect
967. C2×#121C2×D61semidirect
991. #397C2×D61semidirect
1011. #394C2×D61semidirect
1039. #390C2×D61semidirect
1040. #390C2×D61semidirect
1057. #388C2×D61semidirect
1061. #387C2×D61semidirect
1079. #385C2×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×#168403652
C2×#168403512
#214541632
#214541492
#214527102
#214523372
#214521682
#214521552
#214521392
#214521172
#214521112
#214520922
#214520802
#214520682
#214520612
#214520582
#214520382
#214520302
#214520242
#214519532
#214519502
#214515022
#214514412
#214514372
#214514202
#214507522
#214507442
#214492402
#214491972
#214482572
C61×#27142
#3674461