Finite Group Databasebeta

← #29852968

Subgroups — #29852968

Order 15616.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840352C211yesmaximal, characteristic, complemented
2C2×#16840347C211yesmaximal, characteristic, complemented
3#21454185C211yesmaximal, characteristic, complemented
4#21454174C211yesmaximal, characteristic, complemented
5#21454163C211yesmaximal, characteristic, complemented
6#21454146C211yesmaximal, characteristic, complemented
7#21451965C211yesmaximal, characteristic, complemented
8#21451964C211yesmaximal, characteristic, complemented
9#21451954C211yesmaximal, characteristic, complemented
10#21451953C211yesmaximal, characteristic, complemented
11#21450895C211yesmaximal, characteristic, complemented
12#21450890C211yesmaximal, characteristic, complemented
13#21450886C211yesmaximal, characteristic, complemented
14#21450884C211yesmaximal, characteristic, complemented
15#21450400C211yesmaximal, characteristic, complemented
16#21450177C211yesmaximal, characteristic, complemented
17#21449945C211yesmaximal, characteristic, complemented
18#21449579C211yesmaximal, characteristic, complemented
19#21449518C211yesmaximal, characteristic, complemented
20#21449454C211yesmaximal, characteristic, complemented
21#21449402C211yesmaximal, characteristic, complemented
22#21449357C211yesmaximal, characteristic, complemented
23#21449355C211yesmaximal, characteristic, complemented
24#21449258C211yesmaximal, characteristic, complemented
25#21449174C211yesmaximal, characteristic, complemented
26#21448482C211yesmaximal, characteristic, complemented
27#21448474C211yesmaximal, characteristic, complemented
28#21448329C211yesmaximal, characteristic, complemented
29C2×#16839662C211yesmaximal, characteristic, complemented
30C4×#14519737C211yesmaximal, characteristic, complemented
31C61×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33#16840352—28no—
34#16840347—28no—
35C2×#14519775C2211yescharacteristic, complemented
36C2×#14519773C2211yescharacteristic
37C2×#14519773C2211yescharacteristic
38C2×#14519772C2211yescharacteristic, complemented
39C2×#14519772C2211yescharacteristic, complemented
40C2×#14519770C2211yescharacteristic, complemented
41C2×#14519770C2211yescharacteristic, complemented
42C2×#14519766C2211yescharacteristic, complemented
43C2×#14519766C2211yescharacteristic, complemented
44C2×#14519765C2211yescharacteristic, complemented
45C2×#14519764C2211yescharacteristic, complemented
46C2×#14519763C2211yescharacteristic, complemented
47C2×#14519762C2211yescharacteristic, complemented
48C2×#14519762C2211yescharacteristic, complemented
49C2×#14519759C2211yescharacteristic, complemented
50C2×#14519758C2211yescharacteristic, complemented
51C2×#14519754C2211yescharacteristic
52C2×#14519752C2211yescharacteristic, complemented
53C2×#14519752C2211yescharacteristic, complemented
54C2×#14519751C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519750C2211yescharacteristic, complemented
59C2×#14519750C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic
61C2×#14519749C2211yescharacteristic
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519748C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519746C2211yescharacteristic
67C2×#14519746C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×D4×Dic61C2211yescharacteristic
70C2×C4×C22⋊D61C2211yescharacteristic
71C2×#14519737C2211yescharacteristic
72C2×#14519737C2211yescharacteristic
73C2×#14519737C2211yescharacteristic
74C2×#14519737C2211yescharacteristic, complemented
75C22×#11758196C2211yescharacteristic
76C22×C22⋊Dic61C2211yescharacteristic
77C22×#11758198C2211yescharacteristic
78C22×#11758198C2211yescharacteristic
79C22×C4×Dic61C2211yescharacteristic
80C2×C42×D61C2211yescharacteristic, complemented
81#16839693C2211yescharacteristic, complemented
82#16839692C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic, complemented
84#16839686C2211yescharacteristic, complemented
85#16839686C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839682C2211yescharacteristic, complemented
89#16839681C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839675C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic
102#16839671C2211yescharacteristic
103#16839671C2211yescharacteristic
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic, complemented
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839664C2211yescharacteristic, complemented
110#16839662C2211yescharacteristic
111#16839662C2211yescharacteristic
112#16839662C2211yescharacteristic
113#16839662C2211yescharacteristic
114#16839662C2211yescharacteristic
115#16839662C2211yescharacteristic
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic, complemented
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839659C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839657C2211yescharacteristic, complemented
134#16839656C2211yescharacteristic, complemented
135#16839656C2211yescharacteristic, complemented
136#16839655C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic, complemented
139#16839654C2211yescharacteristic, complemented
140#16839653C2211yescharacteristic, complemented
141#16839653C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839651C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839650C2211yescharacteristic, complemented
148#16839641C2211yescharacteristic
149#16839640C2211yescharacteristic, complemented
150#16839639C2211yescharacteristic
151#16839639C2211yescharacteristic, complemented
152#16839639C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839638C2211yescharacteristic, complemented
156#16839635C2211yescharacteristic
157#16839634C2211yescharacteristic
158#16839631C2211yescharacteristic, complemented
159#16839621C2211yescharacteristic, complemented
160#16839620C2211yescharacteristic
161#16839617C2211yescharacteristic
162C4×#11758196C2211yescharacteristic, complemented
163#16839613C2211yescharacteristic, complemented
164#16839613C2211yescharacteristic, complemented
165#16839613C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic
167C22⋊C4×Dic61C2211yescharacteristic
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C4×#11758198C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#124×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#397C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#393C2211yescharacteristic, complemented
182C61×#390C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61—24no—
197C22×C22⋊D61—42no—
198C22×C22⋊D61—42no—
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
212C22×C22⋊D61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221#14519775—42no—
222#14519773—42no—
223#14519773—42no—
224#14519772—24no—
225#14519772—24no—
226#14519770—24no—
227#14519770—24no—
228#14519766—24no—
229#14519766—24no—
230#14519765—42no—
231#14519764—24no—
232#14519763—24no—
233#14519762—24no—
234#14519762—24no—
235#14519759—24no—
236#14519758—24no—
237#14519754—24no—
238#14519752—24no—
239#14519752—24no—
240#14519751—24no—
241#14519750—42no—
242#14519750—42no—
243#14519750—42no—
244#14519750—42no—
245#14519750—42no—
246#14519749—24no—
247#14519749—24no—
248#14519749—24no—
249#14519748—24no—
250#14519747—24no—
251#14519747—24no—
252#14519746—24no—
253#14519746—24no—
254#14519745—24no—
255D4×Dic61—24no—
256C4×C22⋊D61—24no—
257#14519737—24no—
258#14519737—24no—
259#14519737—42no—
260#14519737D418yescomplemented
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×#11758196—42no—
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×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×C22⋊Dic61—24no—
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×#11758198—24no—
298C2×#11758198—42no—
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×C4×Dic61—42no—
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C2×C4×Dic61C2311yescharacteristic
338C2×C4×Dic61C2311yescharacteristic
339C2×C4×Dic61C2311yescharacteristic
340C2×C4×Dic61C2311yescharacteristic
341C2×C4×Dic61C2311yescharacteristic
342C2×C4×Dic61C2311yescharacteristic
343C42×D61—42no—
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358C25×C61C2311yescharacteristic
359C22×Q8×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365#124×C61—42no—
366C22⋊Q8×C61—24no—
367#120×C61—24no—
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C42×C61C2311yescharacteristic
390C2×C42×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×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×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C23×D61—22no—
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61C2411yescharacteristic
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C2×Q8×C61—22no—
420C2×Q8×C61—41no—
421C2×Q8×C61—41no—
422C2×D4×C61—22no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
425C2×D4×C61—22no—
426C2×D4×C61—22no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C22×C4×C61—22no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—416no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61C2×D414yes—
491C22×Dic61—22no—
492C22×Dic61—22no—
493C22×Dic61—22no—
494C22×Dic61—22no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61C2×D414yes—
502C22×Dic61#4114yes—
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C2×D244—22no—
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—22no—
519C2×D244—22no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×D244—41no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244—41no—
529C2×D244—41no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61C2×D414yescomplemented
542C2×Dic122—22no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C4⋊C4×C61—22no—
546C4⋊C4×C61—22no—
547C4⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61C2×D414yes—
565C42×C61—22no—
566C42×C61—41no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—22no—
574C22⋊Dic61—22no—
575C22⋊Dic61—22no—
576C22⋊Dic61—22no—
577C22⋊Dic61—22no—
578C22⋊Dic61—22no—
579C22⋊Dic61#4114yes—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—22no—
595#11758198—22no—
596#11758198—22no—
597#11758198—22no—
598#11758198—22no—
599#11758198—22no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604#11758198—41no—
605#11758198—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198—41no—
609#11758198C2×D414yescomplemented
610C4⋊Dic61—22no—
611C4⋊Dic61—22no—
612C4⋊Dic61—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—22no—
619#11758196—22no—
620#11758196—22no—
621#11758196—22no—
622#11758196—22no—
623#11758196—22no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196—41no—
628#11758196—41no—
629#11758196—41no—
630#11758196C2×D414yescomplemented
631C4×Dic61—22no—
632C4×Dic61—22no—
633C4×Dic61—22no—
634C4×Dic61—22no—
635C4×Dic61—22no—
636C4×Dic61—22no—
637C4×Dic61—22no—
638C4×Dic61—22no—
639C4×Dic61—41no—
640C4×Dic61—41no—
641C4×Dic61—41no—
642C4×Dic61—41no—
643C4×Dic61C2×D414yescomplemented
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×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—44no—
670C23×C61—44no—
671C23×C61—44no—
672C23×C61—82no—
673C23×C61—82no—
674C23×C61—82no—
675C23×C61—82no—
676C23×C61C22×D412yes—
677C23×C61C2×#4112yes—
678C23×C61C2×#4112yes—
679C23×C61C2511yescharacteristic
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—44no—
708C22×D61—44no—
709C22×D61—44no—
710C22×D61—82no—
711C22×D61—82no—
712C22×D61—82no—
713C22×D61—82no—
714C22×D61C22×D412yes—
715Q8×C61—82no—
716D4×C61—44no—
717D4×C61—82no—
718D4×C61—82no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—44no—
750C2×C4×C61—82no—
751C2×C4×C61C22×D412yes—
752C2×C4×C61C22×D412yes—
753C2×C4×C61H(5,𝔽2)12yes—
754C22⋊D61—28no—
755C22⋊D61—44no—
756C22⋊D61—44no—
757C22⋊D61—44no—
758C22⋊D61—44no—
759C22⋊D61—44no—
760C22⋊D61—44no—
761C22⋊D61—82no—
762C22⋊D61—82no—
763C22⋊D61—82no—
764C22⋊D61—82no—
765C22⋊D61—82no—
766C22⋊D61—82no—
767C22⋊D61—82no—
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—21no—
780C2×Dic61—28no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—44no—
797C2×Dic61—82no—
798C2×Dic61—82no—
799C2×Dic61C22×D412yes—
800C2×Dic61C22×D412yes—
801C2×Dic61C22×D412yes—
802C2×Dic61C2×#4112yes—
803C2×Dic61C2×#4112yes—
804C2×Dic61C2×#4112yes—
805C2×Dic61C2×#4112yes—
806C2×Dic61H(5,𝔽2)12yes—
807C2×Dic61H(5,𝔽2)12yes—
808D244—82no—
809D244—82no—
810D244—82no—
811D244—82no—
812D244—82no—
813C4×D61—44no—
814C4×D61—44no—
815C4×D61—44no—
816C4×D61—82no—
817Dic122—82no—
818#35007—611nomaximal, Sylow
819C22×C61—22no—
820C22×C61—22no—
821C22×C61—22no—
822C22×C61—22no—
823C22×C61—22no—
824C22×C61—22no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—88no—
847C22×C61#53214yes—
848C22×C61C23×D411yescharacteristic
849C22×C61C22×#4111yescharacteristic
850C22×C61C22×#4111yescharacteristic
851C22×C61C2×H(5,𝔽2)11yescharacteristic
852C22×C61C2×H(5,𝔽2)11yescharacteristic
853C22×C61C2×H(5,𝔽2)11yescharacteristic
854C22×C61#58511yescharacteristic
855C2×D61—22no—
856C2×D61—22no—
857C2×D61—22no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—88no—
884C4×C61—22no—
885C4×C61—22no—
886C4×C61—22no—
887C4×C61—41no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895Dic61—22no—
896Dic61—22no—
897Dic61—22no—
898Dic61—22no—
899Dic61—22no—
900Dic61—22no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61#53814yescomplemented
907C2×#538—611no—
908C2×#538—611no—
909#2860—611no—
910#2858—611no—
911#2856—611no—
912#2854—611no—
913#2662—611no—
914#2662—611no—
915#2661—611no—
916#2661—611no—
917#2555—611no—
918#2555—611no—
919#2554—611no—
920#2554—611no—
921#2512—611no—
922#2491—611no—
923#2472—611no—
924#2472D6111yescharacteristic, complemented
925#2445—611no—
926#2440—611no—
927#2433—611no—
928#2428—611no—
929#2424—611no—
930#2424—611no—
931#2416—611no—
932#2408—611no—
933#2321—611no—
934#2321—611no—
935C4×#121—611no—
936C2×#390—611no—
937C42×D4—611no—
938C2×C61—24no—
939C2×C61—81no—
940C2×C61—81no—
941C2×C61—81no—
942C2×C61C2×#53211yescharacteristic
943C2×C61C2×#53811yescharacteristic
944C2×C61#346011yescharacteristic
945C2×C61#349611yescharacteristic
946C2×C61#349811yescharacteristic
947C2×C61#351411yescharacteristic
948C2×C61#351911yescharacteristic
949D61—42no—
950D61—81no—
951D61—81no—
952D61—81no—
953C23×D4—611no—
954#538—1228no—
955#538—1228no—
956C2×C4⋊Q8—611no—
957C2×#127—611no—
958C2×#127—611no—
959C2×#126—611no—
960C2×#126—611no—
961C2×#126—611no—
962C2×#126—611no—
963C2×#124—611no—
964C2×#124—611no—
965C2×#124—611no—
966C2×#124—611no—
967C2×#124—611no—
968C2×#124C2×D6111yescharacteristic, complemented
969C2×#123—611no—
970C2×#123—611no—
971C2×#123—611no—
972C2×#123—611no—
973C2×C22⋊Q8—611no—
974C2×C22⋊Q8C2×D6111yescharacteristic
975C2×#121—611no—
976C2×#121—611no—
977C2×#121—611no—
978C2×#121—611no—
979C2×#121—611no—
980C2×#121—611no—
981C2×#121—611no—
982C2×#121—611no—
983C2×#121—611no—
984C2×#121—611no—
985C2×#121—611no—
986C2×#121—611no—
987C2×#120—611no—
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120—611no—
992C2×#120C2×D6111yescharacteristic
993C2×C4×D4—611no—
994C2×C4×D4—611no—
995C2×C4×D4—611no—
996C2×C4×D4—611no—
997C2×C4×D4—611no—
998C2×C4×D4—611no—
999C22×C4⋊C4—611no—
1000C22×C22⋊C4—611no—
1001C22×C22⋊C4—611no—
1002C22×C22⋊C4—611no—
1003C22×C22⋊C4C2×D6111yescharacteristic
1004C22×C42—611no—
1005C22×C42—611no—
1006#398—611no—
1007#398—611no—
1008#397—611no—
1009#397C2×D6111yescharacteristic, complemented
1010#396—611no—
1011#396—611no—
1012#396—611no—
1013#396—611no—
1014#395—611no—
1015#395—611no—
1016#394—611no—
1017#394—611no—
1018#394—611no—
1019#394—611no—
1020#394—611no—
1021#394—611no—
1022#394—611no—
1023#394—611no—
1024#394—611no—
1025#394—611no—
1026#394C2×D6111yescharacteristic, complemented
1027#394C2×D6111yescharacteristic, complemented
1028#393—611no—
1029#393C2×D6111yescharacteristic, complemented
1030#392—611no—
1031#392—611no—
1032#392—611no—
1033#392—611no—
1034#392—611no—
1035#392—611no—
1036#392—611no—
1037#392—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#390—611no—
1042#390—611no—
1043#390—611no—
1044#390—611no—
1045#390—611no—
1046#390—611no—
1047#390—611no—
1048#390—611no—
1049#390—611no—
1050#390—611no—
1051#390—611no—
1052#390—611no—
1053#390—611no—
1054#390—611no—
1055#390—611no—
1056#390—611no—
1057#390—611no—
1058#390—611no—
1059#390C2×D6111yescharacteristic, complemented
1060#389—611no—
1061#389—611no—
1062#389—611no—
1063#389—611no—
1064#388—611no—
1065#388—611no—
1066#388—611no—
1067#388—611no—
1068#388—611no—
1069#388—611no—
1070#388—611no—
1071#388—611no—
1072#388—611no—
1073#388—611no—
1074#388—611no—
1075#388—611no—
1076#388—611no—
1077#388—611no—
1078#388C2×D6111yescharacteristic, complemented
1079#388C2×D6111yescharacteristic, complemented
1080#386—611no—
1081#386—611no—
1082#386—611no—
1083#386—611no—
1084#386—611no—
1085#386—611no—
1086#386—611no—
1087#386—611no—
1088#386C2×D6111yescharacteristic
1089#386C2×D6111yescharacteristic
1090#385—611no—
1091#385—611no—
1092#384—611no—
1093#380—611no—
1094#380—611no—
1095#379—611no—
1096#379C2×D6111yescharacteristic
1097C4×C4⋊C4—611no—
1098C4×C4⋊C4—611no—
1099C4×C4⋊C4—611no—
1100C4×C4⋊C4—611no—
1101C4×C22⋊C4—611no—
1102C4×C22⋊C4—611no—
1103C4×C22⋊C4—611no—
1104C4×C22⋊C4—611no—
1105C4×C22⋊C4—611no—
1106C4×C22⋊C4—611no—
1107C4×C22⋊C4—611no—
1108C4×C22⋊C4C2×D6111yescharacteristic
1109C43—611no—
1110C61#3500711yescharacteristic, complemented, Sylow
1111C25—611no—
1112C25C22×D6111yescharacteristic
1113C22×Q8—611no—
1114C22×Q8C22×D6111yescharacteristic
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4—611no—
1121C22×D4—611no—
1122C22×D4—611no—
1123C22×D4—611no—
1124C22×D4—611no—
1125C22×D4—611no—
1126C22×D4—611no—
1127C22×D4—611no—
1128C22×D4—611no—
1129C22×D4—611no—
1130C22×D4—611no—
1131C22×D4—611no—
1132C22×D4—611no—
1133C22×D4—611no—
1134C22×D4—1224no—
1135C22×D4—2442no—
1136C22×D4—2442no—
1137C22×D4C22×D6111yescharacteristic
1138C22×D4C22×D6111yescharacteristic
1139C22×D4C22×D6111yescharacteristic
1140C23×C4—611no—
1141C23×C4—611no—
1142C23×C4—611no—
1143C23×C4—611no—
1144C23×C4—611no—
1145C23×C4—611no—
1146C23×C4—611no—
1147C23×C4—611no—
1148C23×C4C22×D6111yescharacteristic
1149C23×C4C22×D6111yescharacteristic
1150C4⋊Q8—2442no—
1151#127—2442no—
1152#127—2442no—
1153#126—1224no—
1154#126—1224no—
1155#126—1224no—
1156#126—1224no—
1157#124—42no—
1158#124—1224no—
1159#124—1224no—
1160#124—1224no—
1161#124—1224no—
1162#124—2442no—
1163#123—1224no—
1164#123—1224no—
1165#123—1224no—
1166#123—1224no—
1167C22⋊Q8—24no—
1168C22⋊Q8—1224no—
1169#121—1224no—
1170#121—1224no—
1171#121—1224no—
1172#121—1224no—
1173#121—1224no—
1174#121—1224no—
1175#121—1224no—
1176#121—2442no—
1177#121—2442no—
1178#121—2442no—
1179#121—2442no—
1180#121—2442no—
1181#120—24no—
1182#120—1224no—
1183#120—1224no—
1184#120—1224no—
1185#120—1224no—
1186#120—1224no—
1187C4×D4—618no—
1188C4×D4—1224no—
1189C4×D4—1224no—
1190C4×D4—1224no—
1191C4×D4—1224no—
1192C4×D4—2442no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—611no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—2442no—
1215C2×C4⋊C4C22×D6111yescharacteristic
1216C2×C4⋊C4C22×D6111yescharacteristic
1217C2×C4⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4—42no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—1224no—
1263C2×C22⋊C4—1224no—
1264C2×C22⋊C4—2442no—
1265C2×C22⋊C4C22×D6111yescharacteristic
1266C2×C22⋊C4C22×D6111yescharacteristic
1267C2×C22⋊C4C22×D6111yescharacteristic
1268C2×C22⋊C4C22×D6111yescharacteristic
1269C2×C22⋊C4C22×D6111yescharacteristic
1270C2×C22⋊C4C22×D6111yescharacteristic
1271C2×C22⋊C4C22×D6111yescharacteristic
1272C2×C22⋊C4C22×D6111yescharacteristic
1273C2×C22⋊C4C22×D6111yescharacteristic
1274C2×C22⋊C4C22×D6111yescharacteristic
1275C2×C22⋊C4C22×D6111yescharacteristic
1276C2×C22⋊C4C22×D6111yescharacteristic
1277C2×C22⋊C4C22×D6111yescharacteristic
1278C2×C22⋊C4C22×D6111yescharacteristic
1279C2×C22⋊C4C22×D6111yescharacteristic
1280C2×C22⋊C4C22×D6111yescharacteristic
1281C2×C22⋊C4C22×D6111yescharacteristic
1282C2×C42—611no—
1283C2×C42—611no—
1284C2×C42—611no—
1285C2×C42—611no—
1286C2×C42—611no—
1287C2×C42—611no—
1288C2×C42—611no—
1289C2×C42—611no—
1290C2×C42—611no—
1291C2×C42—611no—
1292C2×C42—611no—
1293C2×C42—611no—
1294C2×C42—611no—
1295C2×C42—2442no—
1296C2×C42—2442no—
1297C2×C42C22×D6111yescharacteristic
1298C2×C42C22×D6111yescharacteristic
1299#95—611no—
1300#95—611no—
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95—611no—
1307#95—611no—
1308#95—611no—
1309#95—611no—
1310#95—611no—
1311#95—611no—
1312#95—611no—
1313#95C22×D6111yescharacteristic
1314#95C22×D6111yescharacteristic
1315#95C22×D6111yescharacteristic
1316#95C22×D6111yescharacteristic
1317#95C22×D6111yescharacteristic
1318#95C22×D6111yescharacteristic
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—611no—
1327C24—611no—
1328C24—611no—
1329C24—611no—
1330C24—1222no—
1331C24—1222no—
1332C24—1222no—
1333C24—2441no—
1334C24—2441no—
1335C24—2441no—
1336C24—2441no—
1337C24C23×D6111yescharacteristic
1338C24C23×D6111yescharacteristic
1339C24C23×D6111yescharacteristic
1340C24C23×D6111yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—1222no—
1345C2×Q8—2441no—
1346C2×Q8—2441no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—614no—
1357C2×D4—1222no—
1358C2×D4—1222no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—1222no—
1363C2×D4—1222no—
1364C2×D4—1222no—
1365C2×D4—1222no—
1366C2×D4—1222no—
1367C2×D4—1222no—
1368C2×D4—1222no—
1369C2×D4—1222no—
1370C2×D4—1222no—
1371C2×D4—1222no—
1372C2×D4—1222no—
1373C2×D4—1222no—
1374C2×D4—1222no—
1375C2×D4—1222no—
1376C2×D4—1222no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—1222no—
1380C2×D4—1222no—
1381C2×D4—1222no—
1382C2×D4—1222no—
1383C2×D4—1222no—
1384C2×D4—1222no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C2×D4—2441no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4—2441no—
1396C2×D4—2441no—
1397C2×D4—2441no—
1398C2×D4—2441no—
1399C2×D4—2441no—
1400C2×D4—2441no—
1401C2×D4—2441no—
1402C2×D4—2441no—
1403C2×D4—2441no—
1404C2×D4—2441no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4—2441no—
1408C2×D4—2441no—
1409C2×D4—2441no—
1410C2×D4—2441no—
1411C2×D4—2441no—
1412C2×D4—2441no—
1413C2×D4—24416no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—611no—
1421C22×C4—614no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—614no—
1429C22×C4—614no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—1222no—
1436C22×C4—1222no—
1437C22×C4—1222no—
1438C22×C4—1222no—
1439C22×C4—1222no—
1440C22×C4—1222no—
1441C22×C4—1222no—
1442C22×C4—1222no—
1443C22×C4—1222no—
1444C22×C4—1222no—
1445C22×C4—2441no—
1446C22×C4—2441no—
1447C22×C4—2441no—
1448C22×C4—2441no—
1449C22×C4—2441no—
1450C22×C4—2441no—
1451C22×C4—2441no—
1452C22×C4—2441no—
1453C22×C4—2441no—
1454C22×C4—2441no—
1455C22×C4—2441no—
1456C22×C4C23×D6111yescharacteristic
1457C22×C4C23×D6111yescharacteristic
1458C22×C4C23×D6111yescharacteristic
1459C22×C4C23×D6111yescharacteristic
1460C22×C4C23×D6111yescharacteristic
1461C22×C4C23×D6111yescharacteristic
1462C22×C4C23×D6111yescharacteristic
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466C22×C4C23×D6111yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—614no—
1471C4⋊C4—1222no—
1472C4⋊C4—1222no—
1473C4⋊C4—1222no—
1474C4⋊C4—1222no—
1475C4⋊C4—1222no—
1476C4⋊C4—1222no—
1477C4⋊C4—1222no—
1478C4⋊C4—1222no—
1479C4⋊C4—1222no—
1480C4⋊C4—1222no—
1481C4⋊C4—1222no—
1482C4⋊C4—1222no—
1483C4⋊C4—1222no—
1484C4⋊C4—1222no—
1485C4⋊C4—2441no—
1486C4⋊C4—2441no—
1487C4⋊C4—2441no—
1488C4⋊C4—2441no—
1489C4⋊C4—2441no—
1490C4⋊C4—2441no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—614no—
1508C22⋊C4—614no—
1509C22⋊C4—1222no—
1510C22⋊C4—1222no—
1511C22⋊C4—1222no—
1512C22⋊C4—1222no—
1513C22⋊C4—1222no—
1514C22⋊C4—1222no—
1515C22⋊C4—1222no—
1516C22⋊C4—1222no—
1517C22⋊C4—1222no—
1518C22⋊C4—1222no—
1519C22⋊C4—1222no—
1520C22⋊C4—1222no—
1521C22⋊C4—1222no—
1522C22⋊C4—1222no—
1523C22⋊C4—1222no—
1524C22⋊C4—1222no—
1525C22⋊C4—1222no—
1526C22⋊C4—1222no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—2441no—
1542C22⋊C4—2441no—
1543C22⋊C4—2441no—
1544C22⋊C4—2441no—
1545C22⋊C4—2441no—
1546C22⋊C4—2441no—
1547C22⋊C4—2441no—
1548C22⋊C4—2441no—
1549C22⋊C4—2441no—
1550C22⋊C4D4×D6114yes—
1551C42—22no—
1552C42—41no—
1553C42—614no—
1554C42—1222no—
1555C42—1222no—
1556C42—1222no—
1557C42—1222no—
1558C42—1222no—
1559C42—1222no—
1560C42—1222no—
1561C42—1222no—
1562C42—2441no—
1563C42—2441no—
1564C42—2441no—
1565C42—2441no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—612no—
1599C23—1221no—
1600C23—1221no—
1601C23—1221no—
1602C23—1221no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—1221no—
1609C23—1221no—
1610C23—1221no—
1611C23—1221no—
1612C23—1221no—
1613C23—1221no—
1614C23—1221no—
1615C23—1221no—
1616C23—1221no—
1617C23—1221no—
1618C23—1221no—
1619C23—1221no—
1620C23—1221no—
1621C23—1221no—
1622C23—1221no—
1623C23—1221no—
1624C23—1221no—
1625C23—1221no—
1626C23—4882no—
1627C23—4882no—
1628C23—4882no—
1629C23—4882no—
1630C23—2444no—
1631C23—2444no—
1632C23—2444no—
1633C23C2×D4×D6112yes—
1634C23#41×D6112yes—
1635C23#41×D6112yes—
1636C23C24×D6111yescharacteristic
1637Q8—82no—
1638Q8—4882no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—1228no—
1643D4—4882no—
1644D4—4882no—
1645D4—4882no—
1646D4—4882no—
1647D4—4882no—
1648D4—4882no—
1649D4—4882no—
1650D4—4882no—
1651D4—4882no—
1652D4—4882no—
1653D4—4882no—
1654D4—4882no—
1655D4—2444no—
1656D4—2444no—
1657D4—2444no—
1658D4—2444no—
1659D4—2444no—
1660D4—2444no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—82no—
1693C2×C4—612no—
1694C2×C4—612no—
1695C2×C4—612no—
1696C2×C4—612no—
1697C2×C4—612no—
1698C2×C4—612no—
1699C2×C4—612no—
1700C2×C4—612no—
1701C2×C4—612no—
1702C2×C4—1228no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—4882no—
1731C2×C4—4882no—
1732C2×C4—4882no—
1733C2×C4—2444no—
1734C2×C4—2444no—
1735C2×C4—2444no—
1736C2×C4—2444no—
1737C2×C4C2×D4×D6112yes—
1738C2×C4C2×D4×D6112yes—
1739C2×C4#1451982212yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—88no—
1768C22—1222no—
1769C22—1222no—
1770C22—1222no—
1771C22—4888no—
1772C22—2441no—
1773C22—2441no—
1774C22—2441no—
1775C22—2441no—
1776C22—2441no—
1777C22—2441no—
1778C22—2441no—
1779C22—2441no—
1780C22—2441no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22—2441no—
1788C22—2441no—
1789C22—2441no—
1790C22—2441no—
1791C22—2441no—
1792C22—2441no—
1793C22—2441no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22#1684031114yes—
1798C22C22×D4×D6111yescharacteristic
1799C22C2×#41×D6111yescharacteristic
1800C22C2×#41×D6111yescharacteristic
1801C22H(5,𝔽2)×D6111yescharacteristic
1802C22H(5,𝔽2)×D6111yescharacteristic
1803C22C2×#1451982211yescharacteristic
1804C22#1684059811yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—614no—
1817C4—1222no—
1818C4—1222no—
1819C4—1222no—
1820C4—1222no—
1821C4—1222no—
1822C4—1222no—
1823C4—2441no—
1824C4—2441no—
1825C4—2441no—
1826C4—2441no—
1827C4—2441no—
1828C2—24no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—4881no—
1833C2—4881no—
1834C2—4881no—
1835C2—2442no—
1836C2C2×#1684031111yescharacteristic
1837C2#538×D6111yescharacteristic
1838C2#2145923711yescharacteristic
1839C2#2145957911yescharacteristic
1840C2#2145959111yescharacteristic
1841C2#2145976911yescharacteristic
1842C2#2145984011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2472C2
hypercenter#2472D61
hypocenterC61#35007
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#16840352C2semidirect
2. C2×#16840347C2semidirect
3. #21454185C2semidirect
4. #21454174C2semidirect
5. #21454163C2semidirect
6. #21454146C2semidirect
7. #21451965C2semidirect
8. #21451964C2semidirect
9. #21451954C2semidirect
10. #21451953C2semidirect
11. #21450895C2semidirect
12. #21450890C2semidirect
13. #21450886C2semidirect
14. #21450884C2semidirect
15. #21450400C2semidirect
16. #21450177C2semidirect
17. #21449945C2semidirect
18. #21449579C2semidirect
19. #21449518C2semidirect
20. #21449454C2semidirect
21. #21449402C2semidirect
22. #21449357C2semidirect
23. #21449355C2semidirect
24. #21449258C2semidirect
25. #21449174C2semidirect
26. #21448482C2semidirect
27. #21448474C2semidirect
28. #21448329C2semidirect
29. C2×#16839662C2semidirect
30. C4×#14519737C2semidirect
31. C61×#2472C2semidirect
35. C2×#14519775C22semidirect
38. C2×#14519772C22semidirect
39. C2×#14519772C22semidirect
40. C2×#14519770C22semidirect
41. C2×#14519770C22semidirect
42. C2×#14519766C22semidirect
43. C2×#14519766C22semidirect
44. C2×#14519765C22semidirect
45. C2×#14519764C22semidirect
46. C2×#14519763C22semidirect
47. C2×#14519762C22semidirect
48. C2×#14519762C22semidirect
49. C2×#14519759C22semidirect
50. C2×#14519758C22semidirect
52. C2×#14519752C22semidirect
53. C2×#14519752C22semidirect
57. C2×#14519750C22semidirect
58. C2×#14519750C22semidirect
59. C2×#14519750C22semidirect
62. C2×#14519749C22semidirect
63. C2×#14519748C22semidirect
74. C2×#14519737C22semidirect
80. C2×C42×D61C22semidirect
81. #16839693C22semidirect
82. #16839692C22semidirect
83. #16839689C22semidirect
84. #16839686C22semidirect
85. #16839686C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839682C22semidirect
89. #16839681C22semidirect
90. #16839680C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839680C22semidirect
96. #16839677C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
99. #16839677C22semidirect
100. #16839675C22semidirect
105. #16839671C22semidirect
106. #16839671C22semidirect
109. #16839664C22semidirect
122. #16839662C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839659C22semidirect
131. #16839659C22semidirect
132. #16839657C22semidirect
133. #16839657C22semidirect
134. #16839656C22semidirect
135. #16839656C22semidirect
136. #16839655C22semidirect
137. #16839654C22semidirect
138. #16839654C22semidirect
139. #16839654C22semidirect
140. #16839653C22semidirect
141. #16839653C22semidirect
142. #16839651C22semidirect
143. #16839651C22semidirect
144. #16839651C22semidirect
145. #16839650C22semidirect
146. #16839650C22semidirect
147. #16839650C22semidirect
149. #16839640C22semidirect
151. #16839639C22semidirect
152. #16839639C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839638C22semidirect
158. #16839631C22semidirect
159. #16839621C22semidirect
162. C4×#11758196C22semidirect
163. #16839613C22semidirect
164. #16839613C22semidirect
165. #16839613C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C4×#11758198C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839609C22semidirect
173. C42×Dic61C22semidirect
174. C2×#124×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
181. C61×#393C22semidirect
182. C61×#390C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
260. #14519737D4semidirect
541. C2×C4×D61C2×D4semidirect
609. #11758198C2×D4semidirect
630. #11758196C2×D4semidirect
643. C4×Dic61C2×D4semidirect
906. Dic61#538semidirect
924. #2472D61semidirect
968. C2×#124C2×D61semidirect
1009. #397C2×D61semidirect
1026. #394C2×D61semidirect
1027. #394C2×D61semidirect
1029. #393C2×D61semidirect
1059. #390C2×D61semidirect
1078. #388C2×D61semidirect
1079. #388C2×D61semidirect
1110. C61#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#168403522
C2×#168403472
#214541852
#214541742
#214541632
#214541462
#214519652
#214519642
#214519542
#214519532
#214508952
#214508902
#214508862
#214508842
#214504002
#214501772
#214499452
#214495792
#214495182
#214494542
#214494022
#214493572
#214493552
#214492582
#214491742
#214484822
#214484742
#214483292
C2×#168396622
C4×#145197372
C61×#24722
#3500761