Finite Group Databasebeta

← #29887407

Subgroups — #29887407

Order 15616.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840347C211yesmaximal, characteristic, complemented
2C2×#16840321C211yesmaximal, characteristic, complemented
3#21454162C211yesmaximal, characteristic, complemented
4#21454116C211yesmaximal, characteristic, complemented
5#21452675C211yesmaximal, characteristic, complemented
6#21452669C211yesmaximal, characteristic, complemented
7#21452567C211yesmaximal, characteristic, complemented
8#21452561C211yesmaximal, characteristic, complemented
9#21452514C211yesmaximal, characteristic, complemented
10#21452508C211yesmaximal, characteristic, complemented
11#21452469C211yesmaximal, characteristic, complemented
12#21452463C211yesmaximal, characteristic, complemented
13#21452216C211yesmaximal, characteristic, complemented
14#21452210C211yesmaximal, characteristic, complemented
15#21452148C211yesmaximal, characteristic, complemented
16#21452146C211yesmaximal, characteristic, complemented
17#21452047C211yesmaximal, characteristic, complemented
18#21452041C211yesmaximal, characteristic, complemented
19#21452038C211yesmaximal, characteristic, complemented
20#21452036C211yesmaximal, characteristic, complemented
21#21451923C211yesmaximal, characteristic, complemented
22#21451749C211yesmaximal, characteristic, complemented
23#21450783C211yesmaximal, characteristic, complemented
24#21450777C211yesmaximal, characteristic, complemented
25#21449258C211yesmaximal, characteristic, complemented
26#21449256C211yesmaximal, characteristic, complemented
27#21449194C211yesmaximal, characteristic, complemented
28#21449193C211yesmaximal, characteristic, complemented
29#21449187C211yesmaximal, characteristic, complemented
30C2×#16839650C211yesmaximal, characteristic, complemented
31C61×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33#16840347—28no—
34#16840321—28no—
35C2×#14519773C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519760C2211yescharacteristic
42C2×#14519760C2211yescharacteristic
43C2×#14519759C2211yescharacteristic, complemented
44C2×#14519758C2211yescharacteristic
45C2×#14519758C2211yescharacteristic
46C2×#14519758C2211yescharacteristic, complemented
47C2×#14519754C2211yescharacteristic, complemented
48C2×#14519751C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519750C2211yescharacteristic, complemented
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519749C2211yescharacteristic
54C2×#14519749C2211yescharacteristic
55C2×#14519749C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic, complemented
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519748C2211yescharacteristic, complemented
63C2×#14519747C2211yescharacteristic, complemented
64C2×#14519746C2211yescharacteristic
65C2×#14519746C2211yescharacteristic
66C2×#14519746C2211yescharacteristic
67C2×#14519746C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic, complemented
71C2×D4×Dic61C2211yescharacteristic, complemented
72C2×#14519737C2211yescharacteristic, complemented
73C22×#11758196C2211yescharacteristic, complemented
74C22×C22⋊Dic61C2211yescharacteristic
75C22×C22⋊Dic61C2211yescharacteristic
76C22×C4×Dic61C2211yescharacteristic, complemented
77#16839704C2211yescharacteristic, complemented
78#16839703C2211yescharacteristic, complemented
79#16839698C2211yescharacteristic, complemented
80#16839698C2211yescharacteristic, complemented
81#16839697C2211yescharacteristic, complemented
82#16839697C2211yescharacteristic, complemented
83#16839696C2211yescharacteristic, complemented
84#16839695C2211yescharacteristic, complemented
85#16839691C2211yescharacteristic, complemented
86#16839691C2211yescharacteristic, complemented
87#16839690C2211yescharacteristic, complemented
88#16839690C2211yescharacteristic, complemented
89#16839686C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic
105#16839676C2211yescharacteristic
106#16839676C2211yescharacteristic, complemented
107#16839675C2211yescharacteristic, complemented
108#16839674C2211yescharacteristic, complemented
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839671C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic
116#16839670C2211yescharacteristic
117#16839670C2211yescharacteristic
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839666C2211yescharacteristic, complemented
122#16839665C2211yescharacteristic, complemented
123#16839663C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839659C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839656C2211yescharacteristic, complemented
134#16839655C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839654C2211yescharacteristic, complemented
137#16839652C2211yescharacteristic, complemented
138#16839651C2211yescharacteristic, complemented
139#16839651C2211yescharacteristic, complemented
140#16839650C2211yescharacteristic, complemented
141#16839650C2211yescharacteristic, complemented
142#16839650C2211yescharacteristic, complemented
143#16839650C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839650C2211yescharacteristic, complemented
148#16839650C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic, complemented
150#16839642C2211yescharacteristic, complemented
151#16839642C2211yescharacteristic, complemented
152#16839642C2211yescharacteristic, complemented
153#16839641C2211yescharacteristic, complemented
154#16839641C2211yescharacteristic, complemented
155#16839641C2211yescharacteristic, complemented
156#16839640C2211yescharacteristic, complemented
157#16839639C2211yescharacteristic, complemented
158#16839639C2211yescharacteristic, complemented
159#16839639C2211yescharacteristic, complemented
160#16839639C2211yescharacteristic, complemented
161#16839638C2211yescharacteristic, complemented
162#16839637C2211yescharacteristic, complemented
163#16839635C2211yescharacteristic, complemented
164#16839634C2211yescharacteristic, complemented
165#16839631C2211yescharacteristic, complemented
166#16839626C2211yescharacteristic, complemented
167#16839621C2211yescharacteristic, complemented
168#16839620C2211yescharacteristic, complemented
169#16839618C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C23×D4×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic, complemented
179C22×C22⋊C4×C61C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61—24no—
194C22×C22⋊D61—42no—
195C22×C22⋊D61—42no—
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
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C23×Dic61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519773—42no—
220#14519770—24no—
221#14519770—24no—
222#14519764—24no—
223#14519763—24no—
224#14519763—42no—
225#14519760—24no—
226#14519760—24no—
227#14519759—24no—
228#14519758—24no—
229#14519758—24no—
230#14519758—24no—
231#14519754—24no—
232#14519751—42no—
233#14519751—42no—
234#14519750—42no—
235#14519749—24no—
236#14519749—24no—
237#14519749—24no—
238#14519749—24no—
239#14519749—24no—
240#14519749—24no—
241#14519749—42no—
242#14519749—42no—
243#14519749—42no—
244#14519749—42no—
245#14519749—42no—
246#14519748—24no—
247#14519747—42no—
248#14519746—24no—
249#14519746—24no—
250#14519746—24no—
251#14519746—42no—
252#14519745—24no—
253#14519745—24no—
254#14519745—42no—
255D4×Dic61—24no—
256#14519737—24no—
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×#11758196—42no—
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×C22⋊Dic61—42no—
279C2×C22⋊Dic61D418yescomplemented
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61—42no—
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
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
354C25×C61C2311yescharacteristic
355C25×C61C2311yescharacteristic
356C22×D4×C61—24no—
357C22×D4×C61—42no—
358C22×D4×C61—42no—
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C22×D4×C61C2311yescharacteristic
367C22×D4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371#121×C61—42no—
372#121×C61—42no—
373#120×C61—24no—
374#120×C61—42no—
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61—42no—
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61—41no—
405C24×C61—41no—
406C24×C61—41no—
407C24×C61—41no—
408C24×C61—41no—
409C24×C61—41no—
410C24×C61C2×D414yes—
411C24×C61C2411yescharacteristic
412C24×C61C2411yescharacteristic
413C24×C61C2411yescharacteristic
414C24×C61C2411yescharacteristic
415C24×C61C2411yescharacteristic
416C24×C61C2411yescharacteristic
417C23×D61—22no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—22no—
440C2×D4×C61—22no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—41no—
454C2×D4×C61—416no—
455C22×C4×C61—22no—
456C22×C4×C61—22no—
457C22×C4×C61—22no—
458C22×C4×C61—22no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61—41no—
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—22no—
491C2×C22⋊D61—22no—
492C2×C22⋊D61—22no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C2×C22⋊D61—41no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C2×C22⋊D61—41no—
514C2×C22⋊D61—41no—
515C2×C22⋊D61—41no—
516C2×C22⋊D61—41no—
517C2×C22⋊D61—41no—
518C2×C22⋊D61—41no—
519C2×C22⋊D61—41no—
520C2×C22⋊D61—41no—
521C2×C22⋊D61—416no—
522C22×Dic61—22no—
523C22×Dic61—22no—
524C22×Dic61—22no—
525C22×Dic61—22no—
526C22×Dic61—22no—
527C22×Dic61—41no—
528C22×Dic61—41no—
529C22×Dic61—41no—
530C22×Dic61—41no—
531C22×Dic61—41no—
532C22×Dic61—41no—
533C22×Dic61—41no—
534C22×Dic61—41no—
535C22×Dic61—41no—
536C22×Dic61—41no—
537C22×Dic61—41no—
538C22×Dic61C2×D414yes—
539C22×Dic61C2×D414yes—
540C22×Dic61C2411yescharacteristic
541C22×Dic61C2411yescharacteristic
542C22×Dic61C2411yescharacteristic
543C22×Dic61C2411yescharacteristic
544C22×Dic61C2411yescharacteristic
545C22×Dic61C2411yescharacteristic
546C22×Dic61C2411yescharacteristic
547C22×Dic61C2411yescharacteristic
548C22×Dic61C2411yescharacteristic
549C22×Dic61C2411yescharacteristic
550C22×Dic61C2411yescharacteristic
551C22×Dic61C2411yescharacteristic
552C22×Dic61C2411yescharacteristic
553C2×D244—22no—
554C2×D244—41no—
555C2×D244—41no—
556C2×D244—41no—
557C2×D244—41no—
558C2×D244—41no—
559C2×C4×D61—22no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×Dic122—22no—
563C2×Dic122—41no—
564C2×Dic122—41no—
565C4⋊C4×C61—41no—
566C4⋊C4×C61—41no—
567C22⋊C4×C61—22no—
568C22⋊C4×C61—22no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—41no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—22no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603C22⋊Dic61C2×D414yes—
604C22⋊Dic61C2×D414yes—
605C22⋊Dic61C2×D414yes—
606C22⋊Dic61C2×D414yes—
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—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629C4⋊Dic61—22no—
630C4⋊Dic61—22no—
631C4⋊Dic61—41no—
632C4⋊Dic61—41no—
633#11758196—22no—
634#11758196—22no—
635#11758196—22no—
636#11758196—22no—
637#11758196—22no—
638#11758196—22no—
639#11758196—22no—
640#11758196—22no—
641#11758196—22no—
642#11758196—22no—
643#11758196—41no—
644#11758196—41no—
645#11758196—41no—
646#11758196—41no—
647#11758196—41no—
648#11758196—41no—
649C4×Dic61—22no—
650C4×Dic61—22no—
651C4×Dic61—22no—
652C4×Dic61—22no—
653C4×Dic61—41no—
654C4×Dic61—41no—
655C23×C61—21no—
656C23×C61—21no—
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×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—28no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—44no—
694C23×C61—44no—
695C23×C61—44no—
696C23×C61—82no—
697C23×C61—82no—
698C23×C61—82no—
699C23×C61—82no—
700C23×C61—82no—
701C23×C61—82no—
702C23×C61—82no—
703C23×C61—82no—
704C23×C61—82no—
705C23×C61—82no—
706C23×C61C22×D412yes—
707C23×C61C22×D412yes—
708C23×C61C22×D412yes—
709C23×C61H(5,𝔽2)12yes—
710C23×C61H(5,𝔽2)12yes—
711C23×C61C2511yescharacteristic
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—21no—
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—21no—
728C22×D61—21no—
729C22×D61—21no—
730C22×D61—21no—
731C22×D61—21no—
732C22×D61—21no—
733C22×D61—44no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61—82no—
737C22×D61—82no—
738C22×D61—82no—
739C22×D61—82no—
740D4×C61—44no—
741D4×C61—44no—
742D4×C61—44no—
743D4×C61—44no—
744D4×C61—44no—
745D4×C61—82no—
746D4×C61—82no—
747D4×C61—82no—
748D4×C61—82no—
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—44no—
776C2×C4×C61—44no—
777C2×C4×C61—82no—
778C2×C4×C61H(5,𝔽2)12yes—
779C22⋊D61—44no—
780C22⋊D61—44no—
781C22⋊D61—44no—
782C22⋊D61—44no—
783C22⋊D61—44no—
784C22⋊D61—82no—
785C22⋊D61—82no—
786C22⋊D61—82no—
787C22⋊D61—82no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C22⋊D61—82no—
794C22⋊D61—82no—
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—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—44no—
830C2×Dic61—44no—
831C2×Dic61—44no—
832C2×Dic61—44no—
833C2×Dic61—82no—
834C2×Dic61—82no—
835C2×Dic61C22×D412yes—
836C2×Dic61C22×D412yes—
837C2×Dic61C22×D412yes—
838C2×Dic61C22×D412yes—
839C2×Dic61H(5,𝔽2)12yes—
840D244—82no—
841D244—82no—
842C4×D61—82no—
843Dic122—82no—
844#36739—611nomaximal, Sylow
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—22no—
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—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—88no—
887C22×C61—88no—
888C22×C61#53514yes—
889C22×C61C23×D411yescharacteristic
890C22×C61C2×H(5,𝔽2)11yescharacteristic
891C22×C61C2×H(5,𝔽2)11yescharacteristic
892C22×C61C2×H(5,𝔽2)11yescharacteristic
893C22×C61C2×H(5,𝔽2)11yescharacteristic
894C22×C61#58511yescharacteristic
895C22×C61#58511yescharacteristic
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—88no—
918C4×C61—22no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927Dic61—22no—
928Dic61—22no—
929Dic61—22no—
930Dic61—22no—
931Dic61—22no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940C2×#538—611no—
941C2×#534—611no—
942#2856—611no—
943#2850—611no—
944#2718—611no—
945#2718—611no—
946#2710—611no—
947#2710—611no—
948#2706—611no—
949#2706—611no—
950#2703—611no—
951#2703—611no—
952#2685—611no—
953#2685—611no—
954#2678—611no—
955#2678—611no—
956#2670—611no—
957#2670—611no—
958#2669—611no—
959#2669—611no—
960#2656—611no—
961#2639—611no—
962#2543—611no—
963#2543—611no—
964#2416—611no—
965#2416—611no—
966#2410—611no—
967#2410—611no—
968#2410—611no—
969#2410D6111yescharacteristic, complemented
970C2×#388—611no—
971C2×C61—24no—
972C2×C61—42no—
973C2×C61—42no—
974C2×C61—81no—
975C2×C61—81no—
976C2×C61—81no—
977C2×C61C2×#53511yescharacteristic
978C2×C61#349611yescharacteristic
979C2×C61#349611yescharacteristic
980C2×C61#353411yescharacteristic
981C2×C61#353711yescharacteristic
982C2×C61#355811yescharacteristic
983C2×C61#356011yescharacteristic
984D61—81no—
985D61—81no—
986D61—81no—
987C23×D4—611no—
988C23×D4C2×D6111yescharacteristic
989#538—1228no—
990#534—1228no—
991C2×#127—611no—
992C2×#126—611no—
993C2×#126—611no—
994C2×#124—611no—
995C2×#124—611no—
996C2×#124—611no—
997C2×#123—611no—
998C2×#123—611no—
999C2×#123—611no—
1000C2×#123—611no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×C22⋊Q8—611no—
1004C2×#121—611no—
1005C2×#121—611no—
1006C2×#121—611no—
1007C2×#121—611no—
1008C2×#121—611no—
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×#121C2×D6111yescharacteristic, complemented
1020C2×#121C2×D6111yescharacteristic, complemented
1021C2×#120—611no—
1022C2×#120—611no—
1023C2×#120—611no—
1024C2×#120—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120C2×D6111yescharacteristic
1030C2×#120C2×D6111yescharacteristic, complemented
1031C2×C4×D4—611no—
1032C2×C4×D4—611no—
1033C22×C4⋊C4—611no—
1034C22×C22⋊C4—611no—
1035C22×C22⋊C4—611no—
1036C22×C22⋊C4C2×D6111yescharacteristic
1037C22×C42—611no—
1038#400—611no—
1039#400—611no—
1040#399—611no—
1041#399—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398—611no—
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#396—611no—
1051#396—611no—
1052#396—611no—
1053#396—611no—
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—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#394C2×D6111yescharacteristic
1069#394C2×D6111yescharacteristic
1070#393—611no—
1071#393—611no—
1072#392—611no—
1073#392—611no—
1074#392—611no—
1075#392—611no—
1076#392—611no—
1077#392—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392C2×D6111yescharacteristic
1085#392C2×D6111yescharacteristic
1086#391—611no—
1087#390—611no—
1088#390—611no—
1089#390—611no—
1090#390—611no—
1091#390—611no—
1092#390—611no—
1093#390—611no—
1094#390—611no—
1095#390—611no—
1096#389—611no—
1097#389—611no—
1098#388—611no—
1099#388—611no—
1100#388—611no—
1101#388—611no—
1102#388—611no—
1103#388—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388—611no—
1112#388—611no—
1113#388—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#386—611no—
1127#386C2×D6111yescharacteristic, complemented
1128#386C2×D6111yescharacteristic, complemented
1129#386C2×D6111yescharacteristic, complemented
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385C2×D6111yescharacteristic, complemented
1134#384—611no—
1135#382—611no—
1136#380—611no—
1137#380—611no—
1138#379—611no—
1139#379—611no—
1140#379—611no—
1141#379C2×D6111yescharacteristic, complemented
1142C2×#95—611no—
1143C2×#95—611no—
1144C61#3673911yescharacteristic, complemented, Sylow
1145C25—611no—
1146C25C22×D6111yescharacteristic
1147C25C22×D6111yescharacteristic
1148C22×Q8—611no—
1149C22×D4—24no—
1150C22×D4—42no—
1151C22×D4—42no—
1152C22×D4—611no—
1153C22×D4—611no—
1154C22×D4—611no—
1155C22×D4—611no—
1156C22×D4—611no—
1157C22×D4—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—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—1224no—
1171C22×D4—2442no—
1172C22×D4—2442no—
1173C22×D4C22×D6111yescharacteristic
1174C22×D4C22×D6111yescharacteristic
1175C22×D4C22×D6111yescharacteristic
1176C22×D4C22×D6111yescharacteristic
1177C22×D4C22×D6111yescharacteristic
1178C22×D4C22×D6111yescharacteristic
1179C22×D4C22×D6111yescharacteristic
1180C22×D4C22×D6111yescharacteristic
1181C22×D4C22×D6111yescharacteristic
1182C23×C4—611no—
1183C23×C4—611no—
1184C23×C4—611no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—611no—
1188C23×C4—611no—
1189C23×C4C22×D6111yescharacteristic
1190C23×C4C22×D6111yescharacteristic
1191C23×C4C22×D6111yescharacteristic
1192#127—2442no—
1193#126—1224no—
1194#126—1224no—
1195#124—1224no—
1196#124—1224no—
1197#124—2442no—
1198#123—1224no—
1199#123—1224no—
1200#123—1224no—
1201#123—1224no—
1202#123—1224no—
1203#123—1224no—
1204C22⋊Q8—1224no—
1205#121—42no—
1206#121—42no—
1207#121—1224no—
1208#121—1224no—
1209#121—1224no—
1210#121—1224no—
1211#121—1224no—
1212#121—1224no—
1213#121—1224no—
1214#121—2442no—
1215#121—2442no—
1216#121—2442no—
1217#121—2442no—
1218#121—2442no—
1219#121—2442no—
1220#121—2442no—
1221#121—2442no—
1222#120—24no—
1223#120—42no—
1224#120—1224no—
1225#120—1224no—
1226#120—1224no—
1227#120—1224no—
1228#120—1224no—
1229#120—2442no—
1230#120—2442no—
1231#120—2442no—
1232C4×D4—1224no—
1233C4×D4—1224no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
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—2442no—
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4—42no—
1258C2×C22⋊C4—618no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
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—2442no—
1307C2×C22⋊C4C22×D6111yescharacteristic
1308C2×C22⋊C4C22×D6111yescharacteristic
1309C2×C22⋊C4C22×D6111yescharacteristic
1310C2×C22⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4C22×D6111yescharacteristic
1314C2×C22⋊C4C22×D6111yescharacteristic
1315C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1323C2×C42—611no—
1324C2×C42—611no—
1325C2×C42—611no—
1326C2×C42—611no—
1327C2×C42—611no—
1328C2×C42—2442no—
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#95—611no—
1348#95—611no—
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—611no—
1367C24—611no—
1368C24—611no—
1369C24—1222no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24D4×D6114yes—
1377C24C23×D6111yescharacteristic
1378C24C23×D6111yescharacteristic
1379C24C23×D6111yescharacteristic
1380C24C23×D6111yescharacteristic
1381C24C23×D6111yescharacteristic
1382C24C23×D6111yescharacteristic
1383C2×Q8—1222no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—416no—
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—1222no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—1222no—
1434C2×D4—1222no—
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—2441no—
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—24416no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—611no—
1479C22×C4—611no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—614no—
1484C22×C4—614no—
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—2441no—
1500C22×C4—2441no—
1501C22×C4—2441no—
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×C4C23×D6111yescharacteristic
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520C22×C4C23×D6111yescharacteristic
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—1222no—
1524C4⋊C4—1222no—
1525C4⋊C4—1222no—
1526C4⋊C4—1222no—
1527C4⋊C4—1222no—
1528C4⋊C4—1222no—
1529C4⋊C4—1222no—
1530C4⋊C4—1222no—
1531C4⋊C4—1222no—
1532C4⋊C4—1222no—
1533C4⋊C4—1222no—
1534C4⋊C4—1222no—
1535C4⋊C4—2441no—
1536C4⋊C4—2441no—
1537C4⋊C4—2441no—
1538C4⋊C4—2441no—
1539C4⋊C4—2441no—
1540C4⋊C4—2441no—
1541C4⋊C4—2441no—
1542C4⋊C4—2441no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—614no—
1559C22⋊C4—614no—
1560C22⋊C4—614no—
1561C22⋊C4—614no—
1562C22⋊C4—1222no—
1563C22⋊C4—1222no—
1564C22⋊C4—1222no—
1565C22⋊C4—1222no—
1566C22⋊C4—1222no—
1567C22⋊C4—1222no—
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—2441no—
1583C22⋊C4—2441no—
1584C22⋊C4—2441no—
1585C22⋊C4—2441no—
1586C22⋊C4—2441no—
1587C22⋊C4—2441no—
1588C22⋊C4—2441no—
1589C22⋊C4—2441no—
1590C22⋊C4—2441no—
1591C22⋊C4—2441no—
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—
1605C42—1222no—
1606C42—1222no—
1607C42—1222no—
1608C42—1222no—
1609C42—2441no—
1610C42—2441no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—28no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—82no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
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—1221no—
1682C23—1221no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—4882no—
1689C23—2444no—
1690C23C2×D4×D6112yes—
1691C23C2×D4×D6112yes—
1692C23C2×D4×D6112yes—
1693C23#1451982212yes—
1694C23#1451982212yes—
1695C23C24×D6111yescharacteristic
1696Q8—4882no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
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—2444no—
1720D4—2444no—
1721D4—2444no—
1722D4—2444no—
1723D4—2444no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
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—44no—
1751C2×C4—44no—
1752C2×C4—82no—
1753C2×C4—612no—
1754C2×C4—612no—
1755C2×C4—612no—
1756C2×C4—612no—
1757C2×C4—612no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—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—4882no—
1793C2×C4—4882no—
1794C2×C4—4882no—
1795C2×C4—2444no—
1796C2×C4—2444no—
1797C2×C4—2444no—
1798C2×C4—2444no—
1799C2×C4#1451982212yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—88no—
1842C22—88no—
1843C22—4888no—
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#1684032714yes—
1866C22C22×D4×D6111yescharacteristic
1867C22H(5,𝔽2)×D6111yescharacteristic
1868C22C2×#1451982211yescharacteristic
1869C22C2×#1451982211yescharacteristic
1870C22C2×#1451982211yescharacteristic
1871C22#1684059711yescharacteristic
1872C22#1684059811yescharacteristic
1873C4—22no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—1222no—
1883C4—1222no—
1884C4—1222no—
1885C4—1222no—
1886C4—1222no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C4—2441no—
1892C4—2441no—
1893C4—2441no—
1894C4—2441no—
1895C2—24no—
1896C2—42no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—4881no—
1902C2—4881no—
1903C2—4881no—
1904C2C2×#1684032711yescharacteristic
1905C2#2145957611yescharacteristic
1906C2#2145958011yescharacteristic
1907C2#2145999711yescharacteristic
1908C2#2146005011yescharacteristic
1909C2#2146032911yescharacteristic
1910C2#2146036311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2410C2
hypercenter#2410D61
hypocenterC61#36739
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16840347C2semidirect
2. C2×#16840321C2semidirect
3. #21454162C2semidirect
4. #21454116C2semidirect
5. #21452675C2semidirect
6. #21452669C2semidirect
7. #21452567C2semidirect
8. #21452561C2semidirect
9. #21452514C2semidirect
10. #21452508C2semidirect
11. #21452469C2semidirect
12. #21452463C2semidirect
13. #21452216C2semidirect
14. #21452210C2semidirect
15. #21452148C2semidirect
16. #21452146C2semidirect
17. #21452047C2semidirect
18. #21452041C2semidirect
19. #21452038C2semidirect
20. #21452036C2semidirect
21. #21451923C2semidirect
22. #21451749C2semidirect
23. #21450783C2semidirect
24. #21450777C2semidirect
25. #21449258C2semidirect
26. #21449256C2semidirect
27. #21449194C2semidirect
28. #21449193C2semidirect
29. #21449187C2semidirect
30. C2×#16839650C2semidirect
31. C61×#2410C2semidirect
35. C2×#14519773C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519764C22semidirect
39. C2×#14519763C22semidirect
40. C2×#14519763C22semidirect
43. C2×#14519759C22semidirect
46. C2×#14519758C22semidirect
47. C2×#14519754C22semidirect
48. C2×#14519751C22semidirect
49. C2×#14519751C22semidirect
50. C2×#14519750C22semidirect
55. C2×#14519749C22semidirect
56. C2×#14519749C22semidirect
57. C2×#14519749C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
60. C2×#14519749C22semidirect
61. C2×#14519749C22semidirect
62. C2×#14519748C22semidirect
63. C2×#14519747C22semidirect
67. C2×#14519746C22semidirect
70. C2×#14519745C22semidirect
71. C2×D4×Dic61C22semidirect
72. C2×#14519737C22semidirect
73. C22×#11758196C22semidirect
76. C22×C4×Dic61C22semidirect
77. #16839704C22semidirect
78. #16839703C22semidirect
79. #16839698C22semidirect
80. #16839698C22semidirect
81. #16839697C22semidirect
82. #16839697C22semidirect
83. #16839696C22semidirect
84. #16839695C22semidirect
85. #16839691C22semidirect
86. #16839691C22semidirect
87. #16839690C22semidirect
88. #16839690C22semidirect
89. #16839686C22semidirect
90. #16839685C22semidirect
91. #16839685C22semidirect
92. #16839684C22semidirect
93. #16839680C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
106. #16839676C22semidirect
107. #16839675C22semidirect
108. #16839674C22semidirect
111. #16839671C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839666C22semidirect
122. #16839665C22semidirect
123. #16839663C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839659C22semidirect
132. #16839657C22semidirect
133. #16839656C22semidirect
134. #16839655C22semidirect
135. #16839655C22semidirect
136. #16839654C22semidirect
137. #16839652C22semidirect
138. #16839651C22semidirect
139. #16839651C22semidirect
140. #16839650C22semidirect
141. #16839650C22semidirect
142. #16839650C22semidirect
143. #16839650C22semidirect
144. #16839650C22semidirect
145. #16839650C22semidirect
146. #16839650C22semidirect
147. #16839650C22semidirect
148. #16839650C22semidirect
149. #16839642C22semidirect
150. #16839642C22semidirect
151. #16839642C22semidirect
152. #16839642C22semidirect
153. #16839641C22semidirect
154. #16839641C22semidirect
155. #16839641C22semidirect
156. #16839640C22semidirect
157. #16839639C22semidirect
158. #16839639C22semidirect
159. #16839639C22semidirect
160. #16839639C22semidirect
161. #16839638C22semidirect
162. #16839637C22semidirect
163. #16839635C22semidirect
164. #16839634C22semidirect
165. #16839631C22semidirect
166. #16839626C22semidirect
167. #16839621C22semidirect
168. #16839620C22semidirect
169. #16839618C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
178. C2×#120×C61C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C61×#379C22semidirect
279. C2×C22⋊Dic61D4semidirect
969. #2410D61semidirect
1019. C2×#121C2×D61semidirect
1020. C2×#121C2×D61semidirect
1030. C2×#120C2×D61semidirect
1127. #386C2×D61semidirect
1128. #386C2×D61semidirect
1129. #386C2×D61semidirect
1133. #385C2×D61semidirect
1141. #379C2×D61semidirect
1144. C61#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168403472
C2×#168403212
#214541622
#214541162
#214526752
#214526692
#214525672
#214525612
#214525142
#214525082
#214524692
#214524632
#214522162
#214522102
#214521482
#214521462
#214520472
#214520412
#214520382
#214520362
#214519232
#214517492
#214507832
#214507772
#214492582
#214492562
#214491942
#214491932
#214491872
C2×#168396502
C61×#24102
#3673961