Finite Group Databasebeta

← #29886853

Subgroups — #29886853

Order 15616.

2910 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840342C211yesmaximal, characteristic, complemented
2C2×#123×D61C211yesmaximal, characteristic, complemented
3#21454102C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452376C211yesmaximal, characteristic, complemented
6#21452374C211yesmaximal, characteristic, complemented
7#21452371C211yesmaximal, characteristic, complemented
8#21452369C211yesmaximal, characteristic, complemented
9#21452364C211yesmaximal, characteristic, complemented
10#21452363C211yesmaximal, characteristic, complemented
11#21452362C211yesmaximal, characteristic, complemented
12#21452092C211yesmaximal, characteristic, complemented
13#21452089C211yesmaximal, characteristic, complemented
14#21452088C211yesmaximal, characteristic, complemented
15#21452087C211yesmaximal, characteristic, complemented
16#21452086C211yesmaximal, characteristic, complemented
17#21452085C211yesmaximal, characteristic, complemented
18#21452083C211yesmaximal, characteristic, complemented
19#21452082C211yesmaximal, characteristic, complemented
20#21451558C211yesmaximal, characteristic, complemented
21#21451554C211yesmaximal, characteristic, complemented
22#21451297C211yesmaximal, characteristic, complemented
23#21451295C211yesmaximal, characteristic, complemented
24#21449455C211yesmaximal, characteristic, complemented
25#21449451C211yesmaximal, characteristic, complemented
26#21449139C211yesmaximal, characteristic, complemented
27#21449139C211yesmaximal, characteristic, complemented
28#21449136C211yesmaximal, characteristic, complemented
29#21449136C211yesmaximal, characteristic, complemented
30#21448418C211yesmaximal, characteristic, complemented
31C61×#2696C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C22×#11758222C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840342—28no—
37C2×#14519774C2211yescharacteristic
38C2×#14519773C2211yescharacteristic
39C2×#14519773C2211yescharacteristic
40C2×#14519773C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519761C2211yescharacteristic
44C2×#14519760C2211yescharacteristic
45C2×#14519759C2211yescharacteristic
46C2×#14519759C2211yescharacteristic
47C2×#14519758C2211yescharacteristic
48#123×D61—28no—
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519755C2211yescharacteristic, complemented
51C2×#14519753C2211yescharacteristic, complemented
52C2×#14519752C2211yescharacteristic
53C2×#14519752C2211yescharacteristic
54C2×#14519752C2211yescharacteristic, complemented
55C2×#14519752C2211yescharacteristic, complemented
56C2×#14519751C2211yescharacteristic, complemented
57C2×#14519751C2211yescharacteristic, complemented
58C2×#14519750C2211yescharacteristic
59C2×#14519750C2211yescharacteristic
60C2×#14519750C2211yescharacteristic, complemented
61C2×#14519750C2211yescharacteristic, complemented
62C2×#14519750C2211yescharacteristic, complemented
63C2×#14519749C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic
67C2×#14519747C2211yescharacteristic
68C2×#14519747C2211yescharacteristic
69C2×#14519747C2211yescharacteristic
70C2×#14519745C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×C4⋊C4×D61C2211yescharacteristic
73C2×C4⋊C4×D61C2211yescharacteristic
74C2×C22⋊C4×D61C2211yescharacteristic
75C2×C22⋊C4×D61C2211yescharacteristic
76C2×C22⋊C4×D61C2211yescharacteristic
77#16839704C2211yescharacteristic, complemented
78#16839703C2211yescharacteristic, complemented
79#16839700C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839688C2211yescharacteristic, complemented
83#16839680C2211yescharacteristic, complemented
84#16839680C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic, complemented
86#16839679C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic, complemented
88#16839678C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839677C2211yescharacteristic, complemented
93#16839677C2211yescharacteristic, complemented
94#16839675C2211yescharacteristic, complemented
95#16839675C2211yescharacteristic, complemented
96#16839674C2211yescharacteristic, complemented
97#16839674C2211yescharacteristic, complemented
98#16839673C2211yescharacteristic, complemented
99#16839673C2211yescharacteristic, complemented
100#16839672C2211yescharacteristic
101#16839672C2211yescharacteristic, complemented
102#16839672C2211yescharacteristic, complemented
103#16839672C2211yescharacteristic, complemented
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic
106#16839671C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839671C2211yescharacteristic, complemented
110#16839671C2211yescharacteristic, complemented
111#16839671C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839663C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839656C2211yescharacteristic, complemented
123#16839654C2211yescharacteristic, complemented
124#16839654C2211yescharacteristic, complemented
125#16839653C2211yescharacteristic, complemented
126#16839652C2211yescharacteristic, complemented
127#16839651C2211yescharacteristic, complemented
128#16839651C2211yescharacteristic, complemented
129#16839649C2211yescharacteristic, complemented
130#16839648C2211yescharacteristic, complemented
131#16839647C2211yescharacteristic, complemented
132#16839646C2211yescharacteristic, complemented
133#16839645C2211yescharacteristic, complemented
134#16839644C2211yescharacteristic, complemented
135#16839643C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic, complemented
138#16839641C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic
142#16839640C2211yescharacteristic
143#16839640C2211yescharacteristic
144#16839640C2211yescharacteristic
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839640C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic, complemented
151#16839640C2211yescharacteristic, complemented
152#16839640C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839639C2211yescharacteristic, complemented
155#16839639C2211yescharacteristic, complemented
156#16839638C2211yescharacteristic
157#16839638C2211yescharacteristic
158#16839638C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839638C2211yescharacteristic, complemented
161#16839638C2211yescharacteristic, complemented
162#16839638C2211yescharacteristic, complemented
163#16839638C2211yescharacteristic, complemented
164#16839638C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic
166#16839624C2211yescharacteristic
167#16839621C2211yescharacteristic
168#16839621C2211yescharacteristic, complemented
169#16839620C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic
171#16839619C2211yescharacteristic, complemented
172C4×#11758198C2211yescharacteristic
173#16839609C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C61×#400C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#394C2211yescharacteristic, complemented
179C61×#393C2211yescharacteristic, complemented
180C61×#393C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#388C2211yescharacteristic, complemented
184C61×#387C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C2×#11758226—24no—
192C2×#11758226—42no—
193C2×#11758226—42no—
194C2×#11758222—24no—
195C2×#11758222—42no—
196C2×#11758222—42no—
197C22×Dic122C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C22×C22⋊D61C2311yescharacteristic
219C22×C22⋊D61C2311yescharacteristic
220C22×C22⋊D61C2311yescharacteristic
221C22×C22⋊D61C2311yescharacteristic
222C22×C22⋊D61C2311yescharacteristic
223C22×C22⋊D61C2311yescharacteristic
224C22×C22⋊D61C2311yescharacteristic
225C2×D4×D61—24no—
226C2×D4×D61—42no—
227C2×D4×D61—42no—
228C23×Dic61C2311yescharacteristic
229C22×C4×D61—24no—
230C22×C4×D61—42no—
231C22×C4×D61—42no—
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2311yescharacteristic
237C22×C4×D61C2311yescharacteristic
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242#14519774—42no—
243#14519773—42no—
244#14519773—42no—
245#14519773—42no—
246#14519762—24no—
247#14519762—24no—
248#14519761—24no—
249#14519760—24no—
250#14519759—24no—
251#14519759—24no—
252#14519758—24no—
253#14519755—24no—
254#14519755—24no—
255#14519753—24no—
256#14519752—24no—
257#14519752—24no—
258#14519752—24no—
259#14519752—42no—
260#14519751—24no—
261#14519751—42no—
262#14519750—24no—
263#14519750—24no—
264#14519750—24no—
265#14519750—24no—
266#14519750—42no—
267#14519749—42no—
268#14519747—42no—
269#14519747—42no—
270#14519747—42no—
271#14519747—42no—
272#14519747—42no—
273#14519747—42no—
274#14519745—42no—
275#14519745—42no—
276C2×C4⋊Dic61C2311yescharacteristic
277C2×C4⋊Dic61C2311yescharacteristic
278C2×C4⋊Dic61C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C4⋊C4×D61—24no—
288C4⋊C4×D61D418yescomplemented
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C22⋊C4×D61—24no—
333C22⋊C4×D61—24no—
334C22⋊C4×D61—24no—
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C2×C4×Dic61C2311yescharacteristic
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
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360C22×Q8×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366#123×C61—24no—
367C22⋊Q8×C61—24no—
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊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×C42×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—22no—
407C23×D61—22no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61C2411yescharacteristic
415C23×D61C2411yescharacteristic
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C23×D61C2411yescharacteristic
420C2×Q8×C61—22no—
421C2×Q8×C61—41no—
422C2×Q8×C61—41no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
425C2×D4×C61—22no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—22no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×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
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
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—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
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⋊D61—41no—
491C2×C22⋊D61—41no—
492C22×Dic61—22no—
493C22×Dic61—22no—
494C22×Dic61—41no—
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505#11758226—416no—
506D4×D61—416no—
507#11758222—416no—
508C2×D244—22no—
509C2×D244—22no—
510C2×D244—22no—
511C2×D244—22no—
512C2×D244—22no—
513C2×D244—22no—
514C2×D244—22no—
515C2×D244—22no—
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—22no—
519C2×D244—22no—
520C2×D244—22no—
521C2×D244—22no—
522C2×D244—22no—
523C2×D244—22no—
524C2×D244—22no—
525C2×D244—41no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244—41no—
529C2×D244—41no—
530C2×D244—41no—
531C2×D244—41no—
532C2×D244—41no—
533C2×D244—41no—
534C2×D244—41no—
535C2×D244—41no—
536C2×D244—41no—
537C2×D244—41no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—41no—
541C2×D244—41no—
542C2×D244—41no—
543C2×D244—41no—
544C2×D244—41no—
545C2×D244—41no—
546C2×D244—41no—
547C2×C4×D61—22no—
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—22no—
557C2×C4×D61—22no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×C4×D61—41no—
563C2×C4×D61—41no—
564C2×C4×D61—41no—
565C2×C4×D61—41no—
566C2×C4×D61—41no—
567C2×C4×D61—41no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—41no—
572C2×C4×D61—41no—
573C2×C4×D61—41no—
574C2×C4×D61—416no—
575C2×C4×D61C2×D414yes—
576C2×C4×D61C2×D414yes—
577C2×C4×D61C2×D414yes—
578C2×Dic122—22no—
579C2×Dic122—41no—
580C2×Dic122—41no—
581C4⋊C4×C61—22no—
582C4⋊C4×C61—22no—
583C4⋊C4×C61—22no—
584C4⋊C4×C61—41no—
585C4⋊C4×C61C2×D414yes—
586C22⋊C4×C61—22no—
587C22⋊C4×C61—22no—
588C22⋊C4×C61—22no—
589C22⋊C4×C61—22no—
590C22⋊C4×C61—22no—
591C22⋊C4×C61—41no—
592C22⋊C4×C61—41no—
593C22⋊C4×C61—41no—
594C22⋊C4×C61—41no—
595C22⋊C4×C61—41no—
596C22⋊C4×C61—41no—
597C22⋊C4×C61—41no—
598C22⋊C4×C61—41no—
599C42×C61—41no—
600C22⋊Dic61—22no—
601C22⋊Dic61—22no—
602C22⋊Dic61—22no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606C22⋊Dic61—41no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198—41no—
634#11758198—41no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640#11758198—41no—
641#11758198—41no—
642#11758198—41no—
643C4⋊Dic61—22no—
644C4⋊Dic61—41no—
645C4⋊Dic61C2×D414yes—
646#11758196—22no—
647#11758196—22no—
648#11758196—22no—
649#11758196—22no—
650#11758196—41no—
651#11758196—41no—
652#11758196C2×D414yes—
653#11758196C2×D414yes—
654C4×Dic61—41no—
655C4×Dic61—41no—
656C4×Dic61—41no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61H(5,𝔽2)12yes—
678C23×C61C2511yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—28no—
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—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—44no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—44no—
727C22×D61—82no—
728C22×D61—82no—
729C22×D61—82no—
730C22×D61—82no—
731C22×D61C22×D412yes—
732C22×D61H(5,𝔽2)12yes—
733C22×D61H(5,𝔽2)12yes—
734C22×D61H(5,𝔽2)12yes—
735Q8×C61—44no—
736D4×C61—44no—
737D4×C61—82no—
738D4×C61—82no—
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—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—44no—
773C2×C4×C61—44no—
774C2×C4×C61C22×D412yes—
775C2×C4×C61C22×D412yes—
776C2×C4×C61C22×D412yes—
777C22⋊D61—44no—
778C22⋊D61—44no—
779C22⋊D61—44no—
780C22⋊D61—44no—
781C22⋊D61—82no—
782C22⋊D61—82no—
783C22⋊D61—82no—
784C22⋊D61—82no—
785C22⋊D61—82no—
786C22⋊D61—82no—
787C22⋊D61—82no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—44no—
819C2×Dic61C22×D412yes—
820C2×Dic61C22×D412yes—
821C2×Dic61C22×D412yes—
822D244—44no—
823D244—44no—
824D244—44no—
825D244—44no—
826D244—44no—
827D244—82no—
828D244—82no—
829D244—82no—
830D244—82no—
831D244—82no—
832D244—82no—
833D244—82no—
834D244—82no—
835C4×D61—28no—
836C4×D61—44no—
837C4×D61—44no—
838C4×D61—44no—
839C4×D61—44no—
840C4×D61—44no—
841C4×D61—44no—
842C4×D61—44no—
843C4×D61—44no—
844C4×D61—44no—
845Dic122—44no—
846#36710—611nomaximal, Sylow
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
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×C61C23×D411yescharacteristic
869C22×C61C2×H(5,𝔽2)11yescharacteristic
870C22×C61C2×H(5,𝔽2)11yescharacteristic
871C22×C61C2×H(5,𝔽2)11yescharacteristic
872C22×C61C2×H(5,𝔽2)11yescharacteristic
873C22×C61#58511yescharacteristic
874C22×C61#58511yescharacteristic
875C2×D61—22no—
876C2×D61—22no—
877C2×D61—22no—
878C2×D61—22no—
879C2×D61—22no—
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—22no—
884C2×D61—416no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—88no—
918C2×D61#53514yes—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931Dic61—22no—
932Dic61—22no—
933Dic61—22no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941C2×#537—611no—
942C22×#123—611no—
943#2847—611no—
944#2847—611no—
945#2696—611no—
946#2696—611no—
947#2696—611no—
948#2696—611no—
949#2696—611no—
950#2696—611no—
951#2696—611no—
952#2696D6111yescharacteristic, complemented
953#2673—611no—
954#2673—611no—
955#2673—611no—
956#2673—611no—
957#2673—611no—
958#2673—611no—
959#2673—611no—
960#2673—611no—
961#2617—611no—
962#2617—611no—
963#2591—611no—
964#2591—611no—
965#2433—611no—
966#2433—611no—
967#2404—611no—
968#2404—611no—
969#2404—611no—
970#2404—611no—
971#2313—611no—
972C2×C61—42no—
973C2×C61—81no—
974C2×C61—81no—
975C2×C61C2×#53511yescharacteristic
976C2×C61#348411yescharacteristic
977C2×C61#348711yescharacteristic
978C2×C61#353411yescharacteristic
979C2×C61#353411yescharacteristic
980C2×C61#353411yescharacteristic
981C2×C61#353411yescharacteristic
982D61—24no—
983D61—42no—
984D61—81no—
985D61—81no—
986D61—81no—
987D61—81no—
988C22×#41—611no—
989C22×#41—611no—
990C23×D4—611no—
991C24×C4—611no—
992#537—1228no—
993C2×#127—611no—
994C2×#127—611no—
995C2×#127—611no—
996C2×#127—611no—
997C2×#123—611no—
998C2×#123—611no—
999C2×#123—611no—
1000C2×#123—611no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×#123—611no—
1004C2×#123—1228no—
1005C2×#123C2×D6111yescharacteristic
1006C2×C22⋊Q8—611no—
1007C2×C22⋊Q8—611no—
1008C2×C22⋊Q8—611no—
1009C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—611no—
1022C2×#120—611no—
1023C2×#120—611no—
1024C2×#120—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C22×C4⋊C4—611no—
1031C22×C4⋊C4—611no—
1032C22×C22⋊C4—611no—
1033C22×C22⋊C4—611no—
1034C22×C22⋊C4—611no—
1035#400—611no—
1036#400—611no—
1037#400—611no—
1038#400C2×D6111yescharacteristic, complemented
1039#397—611no—
1040#397—611no—
1041#397—611no—
1042#397C2×D6111yescharacteristic, complemented
1043#394—611no—
1044#394—611no—
1045#394—611no—
1046#394—611no—
1047#394—611no—
1048#394—611no—
1049#394—611no—
1050#394—611no—
1051#394—611no—
1052#394—611no—
1053#394—611no—
1054#394C2×D6111yescharacteristic, complemented
1055#393—611no—
1056#393—611no—
1057#393—611no—
1058#393—611no—
1059#393—611no—
1060#393—611no—
1061#393C2×D6111yescharacteristic, complemented
1062#393C2×D6111yescharacteristic, complemented
1063#392—611no—
1064#392—611no—
1065#392—611no—
1066#392—611no—
1067#392—611no—
1068#392—611no—
1069#392—611no—
1070#392—611no—
1071#392—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#392C2×D6111yescharacteristic
1083#390—611no—
1084#390—611no—
1085#390—611no—
1086#390C2×D6111yescharacteristic
1087#388—611no—
1088#388—611no—
1089#388—611no—
1090#388—611no—
1091#388—611no—
1092#388—611no—
1093#388—611no—
1094#388C2×D6111yescharacteristic, complemented
1095#387—611no—
1096#387—611no—
1097#387—611no—
1098#387—611no—
1099#387—611no—
1100#387—611no—
1101#387—611no—
1102#387C2×D6111yescharacteristic, complemented
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#386—611no—
1111#386—611no—
1112#386—611no—
1113#386—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386—611no—
1129#386—611no—
1130#386—611no—
1131#386—611no—
1132#386C2×D6111yescharacteristic, complemented
1133#386C2×D6111yescharacteristic, complemented
1134#386C2×D6111yescharacteristic, complemented
1135#381—611no—
1136#381—611no—
1137#380—611no—
1138#380—611no—
1139#380—611no—
1140#380—611no—
1141#380—611no—
1142#380C2×D6111yescharacteristic, complemented
1143C4×C22⋊C4—611no—
1144C4×C22⋊C4—611no—
1145C61#3671011yescharacteristic, complemented, Sylow
1146C25—611no—
1147C25—611no—
1148C2×#41—1224no—
1149C2×#41—1224no—
1150C2×#41—2442no—
1151C2×#41—2442no—
1152C2×#41—2442no—
1153C2×#41—2442no—
1154C22×Q8—611no—
1155C22×Q8C22×D6111yescharacteristic
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—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—1224no—
1184C22×D4—2442no—
1185C22×D4—2442no—
1186C22×D4C22×D6111yescharacteristic
1187C22×D4C22×D6111yescharacteristic
1188C22×D4C22×D6111yescharacteristic
1189C23×C4—611no—
1190C23×C4—611no—
1191C23×C4—611no—
1192C23×C4—611no—
1193C23×C4—611no—
1194C23×C4—611no—
1195C23×C4—611no—
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—1224no—
1201C23×C4—2442no—
1202C23×C4—2442no—
1203C23×C4C22×D6111yescharacteristic
1204C23×C4C22×D6111yescharacteristic
1205#127—2442no—
1206#127—2442no—
1207#127—2442no—
1208#127—2442no—
1209#123—24no—
1210#123—1224no—
1211#123—1224no—
1212#123—1224no—
1213#123—1224no—
1214#123—1224no—
1215#123—1224no—
1216#123—1224no—
1217C22⋊Q8—24no—
1218C22⋊Q8—1224no—
1219C22⋊Q8—1224no—
1220C22⋊Q8—1224no—
1221#121—1224no—
1222#121—1224no—
1223#121—1224no—
1224#121—1224no—
1225#121—1224no—
1226#121—1224no—
1227#121—1224no—
1228#121—1224no—
1229#121—2442no—
1230#121—2442no—
1231#121—2442no—
1232#121—2442no—
1233#120—2442no—
1234#120—2442no—
1235#120—2442no—
1236#120—2442no—
1237#120—2442no—
1238#120—2442no—
1239#120—2442no—
1240#120—2442no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—618no—
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—1224no—
1254C2×C4⋊C4C22×D6111yescharacteristic
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C4⋊C4C22×D6111yescharacteristic
1258C2×C4⋊C4C22×D6111yescharacteristic
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—1224no—
1303C2×C22⋊C4—1224no—
1304C2×C22⋊C4—1224no—
1305C2×C22⋊C4C22×D6111yescharacteristic
1306C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1319C2×C42—611no—
1320C2×C42—611no—
1321C2×C42C22×D6111yescharacteristic
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95C22×D6111yescharacteristic
1345#95C22×D6111yescharacteristic
1346#95C22×D6111yescharacteristic
1347#95C22×D6111yescharacteristic
1348#95C22×D6111yescharacteristic
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353#95C22×D6111yescharacteristic
1354C24—611no—
1355C24—611no—
1356C24—611no—
1357C24—611no—
1358C24—611no—
1359C24—611no—
1360C24—1222no—
1361C24—1222no—
1362C24—1222no—
1363C24—1222no—
1364C24—1222no—
1365C24—1222no—
1366C24—1222no—
1367C24—1222no—
1368C24—2441no—
1369C24—2441no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24C23×D6111yescharacteristic
1375C24C23×D6111yescharacteristic
1376C24C23×D6111yescharacteristic
1377#41—24416no—
1378#41—24416no—
1379C2×Q8—22no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—1222no—
1383C2×Q8—2441no—
1384C2×Q8—2441no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—1222no—
1395C2×D4—1222no—
1396C2×D4—1222no—
1397C2×D4—1222no—
1398C2×D4—1222no—
1399C2×D4—1222no—
1400C2×D4—1222no—
1401C2×D4—1222no—
1402C2×D4—1222no—
1403C2×D4—1222no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—1222no—
1413C2×D4—1222no—
1414C2×D4—1222no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—2441no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4—2441no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—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—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—2441no—
1472C2×D4—2441no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—24416no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—614no—
1486C22×C4—614no—
1487C22×C4—614no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1222no—
1500C22×C4—1222no—
1501C22×C4—1222no—
1502C22×C4—1222no—
1503C22×C4—1222no—
1504C22×C4—1222no—
1505C22×C4—1222no—
1506C22×C4—1222no—
1507C22×C4—1222no—
1508C22×C4—2441no—
1509C22×C4—2441no—
1510C22×C4—2441no—
1511C22×C4—2441no—
1512C22×C4—2441no—
1513C22×C4—2441no—
1514C22×C4—2441no—
1515C22×C4—2441no—
1516C22×C4—2441no—
1517C22×C4—2441no—
1518C22×C4—2441no—
1519C22×C4—2441no—
1520C22×C4—2441no—
1521C22×C4—2441no—
1522C22×C4—2441no—
1523C22×C4—2441no—
1524C22×C4—24416no—
1525C22×C4—2441no—
1526C22×C4C23×D6111yescharacteristic
1527C22×C4C23×D6111yescharacteristic
1528C22×C4C23×D6111yescharacteristic
1529C22×C4C23×D6111yescharacteristic
1530C22×C4C23×D6111yescharacteristic
1531C22×C4C23×D6111yescharacteristic
1532C22×C4C23×D6111yescharacteristic
1533C22×C4C23×D6111yescharacteristic
1534C22×C4C23×D6111yescharacteristic
1535C22×C4C23×D6111yescharacteristic
1536C22×C4C23×D6111yescharacteristic
1537C22×C4C23×D6111yescharacteristic
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—41no—
1542C4⋊C4—614no—
1543C4⋊C4—614no—
1544C4⋊C4—614no—
1545C4⋊C4—1222no—
1546C4⋊C4—1222no—
1547C4⋊C4—1222no—
1548C4⋊C4—1222no—
1549C4⋊C4—1222no—
1550C4⋊C4—2441no—
1551C4⋊C4—2441no—
1552C4⋊C4—2441no—
1553C4⋊C4D4×D6114yes—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
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—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
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—
1605C22⋊C4—2441no—
1606C22⋊C4—2441no—
1607C22⋊C4—2441no—
1608C22⋊C4—2441no—
1609C22⋊C4—2441no—
1610C42—41no—
1611C42—2441no—
1612C42—2441no—
1613C42—2441no—
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—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—612no—
1635C23—612no—
1636C23—612no—
1637C23—612no—
1638C23—1228no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—1221no—
1650C23—1221no—
1651C23—1221no—
1652C23—1221no—
1653C23—1221no—
1654C23—1221no—
1655C23—1221no—
1656C23—1221no—
1657C23—1221no—
1658C23—1221no—
1659C23—1221no—
1660C23—1221no—
1661C23—1221no—
1662C23—1221no—
1663C23—1221no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—4882no—
1678C23—4882no—
1679C23—4882no—
1680C23—4882no—
1681C23—2444no—
1682C23—2444no—
1683C23—2444no—
1684C23—2444no—
1685C23—2444no—
1686C23—2444no—
1687C23—2444no—
1688C23—2444no—
1689C23—2444no—
1690C23#1451982312yes—
1691C23C24×D6111yescharacteristic
1692Q8—44no—
1693Q8—2444no—
1694D4—44no—
1695D4—82no—
1696D4—82no—
1697D4—4882no—
1698D4—4882no—
1699D4—4882no—
1700D4—4882no—
1701D4—4882no—
1702D4—4882no—
1703D4—4882no—
1704D4—4882no—
1705D4—4882no—
1706D4—4882no—
1707D4—4882no—
1708D4—4882no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—2444no—
1716D4—2444no—
1717D4—2444no—
1718D4—2444no—
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—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—612no—
1760C2×C4—612no—
1761C2×C4—612no—
1762C2×C4—1228no—
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—2444no—
1791C2×C4—2444no—
1792C2×C4—2444no—
1793C2×C4—2444no—
1794C2×C4—2444no—
1795C2×C4—2444no—
1796C2×C4—2444no—
1797C2×C4—2444no—
1798C2×C4—2444no—
1799C2×C4—2444no—
1800C2×C4C2×D4×D6112yes—
1801C2×C4C2×D4×D6112yes—
1802C2×C4C2×D4×D6112yes—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
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—614no—
1825C22—1222no—
1826C22—1222no—
1827C22—1222no—
1828C22—1222no—
1829C22—1222no—
1830C22—1222no—
1831C22—1222no—
1832C22—1222no—
1833C22—1222no—
1834C22—4888no—
1835C22—24416no—
1836C22—2441no—
1837C22—2441no—
1838C22—2441no—
1839C22—2441no—
1840C22—2441no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22—2441no—
1866C22—2441no—
1867C22—2441no—
1868C22C22×D4×D6111yescharacteristic
1869C22H(5,𝔽2)×D6111yescharacteristic
1870C22H(5,𝔽2)×D6111yescharacteristic
1871C22H(5,𝔽2)×D6111yescharacteristic
1872C22C2×#1451982311yescharacteristic
1873C22#1684059811yescharacteristic
1874C22#1684059911yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—1222no—
1888C4—1222no—
1889C4—1222no—
1890C4—2441no—
1891C4—2441no—
1892C4—2441no—
1893C4—2441no—
1894C4—2441no—
1895C4—2441no—
1896C4—2441no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—1224no—
1901C2—4881no—
1902C2—4881no—
1903C2—4881no—
1904C2—4881no—
1905C2—2442no—
1906C2#535×D6111yescharacteristic
1907C2#2145944911yescharacteristic
1908C2#2145947611yescharacteristic
1909C2#2146000711yescharacteristic
1910C2#2146000811yescharacteristic
1911C2#2146001111yescharacteristic
1912C2#2146001211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2696C2
hypercenter#2696D61
hypocenterC61#36710
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#16840342C2semidirect
2. C2×#123×D61C2semidirect
3. #21454102C2semidirect
4. #21454100C2semidirect
5. #21452376C2semidirect
6. #21452374C2semidirect
7. #21452371C2semidirect
8. #21452369C2semidirect
9. #21452364C2semidirect
10. #21452363C2semidirect
11. #21452362C2semidirect
12. #21452092C2semidirect
13. #21452089C2semidirect
14. #21452088C2semidirect
15. #21452087C2semidirect
16. #21452086C2semidirect
17. #21452085C2semidirect
18. #21452083C2semidirect
19. #21452082C2semidirect
20. #21451558C2semidirect
21. #21451554C2semidirect
22. #21451297C2semidirect
23. #21451295C2semidirect
24. #21449455C2semidirect
25. #21449451C2semidirect
26. #21449139C2semidirect
27. #21449139C2semidirect
28. #21449136C2semidirect
29. #21449136C2semidirect
30. #21448418C2semidirect
31. C61×#2696C2semidirect
49. C2×#14519755C22semidirect
50. C2×#14519755C22semidirect
51. C2×#14519753C22semidirect
54. C2×#14519752C22semidirect
55. C2×#14519752C22semidirect
56. C2×#14519751C22semidirect
57. C2×#14519751C22semidirect
60. C2×#14519750C22semidirect
61. C2×#14519750C22semidirect
62. C2×#14519750C22semidirect
63. C2×#14519749C22semidirect
77. #16839704C22semidirect
78. #16839703C22semidirect
79. #16839700C22semidirect
80. #16839691C22semidirect
81. #16839690C22semidirect
82. #16839688C22semidirect
83. #16839680C22semidirect
84. #16839680C22semidirect
85. #16839680C22semidirect
86. #16839679C22semidirect
87. #16839679C22semidirect
88. #16839678C22semidirect
89. #16839678C22semidirect
90. #16839678C22semidirect
91. #16839677C22semidirect
92. #16839677C22semidirect
93. #16839677C22semidirect
94. #16839675C22semidirect
95. #16839675C22semidirect
96. #16839674C22semidirect
97. #16839674C22semidirect
98. #16839673C22semidirect
99. #16839673C22semidirect
101. #16839672C22semidirect
102. #16839672C22semidirect
103. #16839672C22semidirect
109. #16839671C22semidirect
110. #16839671C22semidirect
111. #16839671C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
122. #16839656C22semidirect
123. #16839654C22semidirect
124. #16839654C22semidirect
125. #16839653C22semidirect
126. #16839652C22semidirect
127. #16839651C22semidirect
128. #16839651C22semidirect
129. #16839649C22semidirect
130. #16839648C22semidirect
131. #16839647C22semidirect
132. #16839646C22semidirect
133. #16839645C22semidirect
134. #16839644C22semidirect
135. #16839643C22semidirect
136. #16839641C22semidirect
137. #16839641C22semidirect
138. #16839641C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
149. #16839640C22semidirect
150. #16839640C22semidirect
151. #16839640C22semidirect
152. #16839640C22semidirect
153. #16839640C22semidirect
154. #16839639C22semidirect
155. #16839639C22semidirect
158. #16839638C22semidirect
159. #16839638C22semidirect
160. #16839638C22semidirect
161. #16839638C22semidirect
162. #16839638C22semidirect
163. #16839638C22semidirect
164. #16839638C22semidirect
168. #16839621C22semidirect
169. #16839620C22semidirect
171. #16839619C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#397C22semidirect
178. C61×#394C22semidirect
179. C61×#393C22semidirect
180. C61×#393C22semidirect
183. C61×#388C22semidirect
184. C61×#387C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C61×#380C22semidirect
288. C4⋊C4×D61D4semidirect
952. #2696D61semidirect
1009. C2×C22⋊Q8C2×D61semidirect
1038. #400C2×D61semidirect
1042. #397C2×D61semidirect
1054. #394C2×D61semidirect
1061. #393C2×D61semidirect
1062. #393C2×D61semidirect
1094. #388C2×D61semidirect
1102. #387C2×D61semidirect
1132. #386C2×D61semidirect
1133. #386C2×D61semidirect
1134. #386C2×D61semidirect
1142. #380C2×D61semidirect
1145. C61#36710semidirect

Maximal subgroups

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

subgroupindex
C2×#168403422
C2×#123×D612
#214541022
#214541002
#214523762
#214523742
#214523712
#214523692
#214523642
#214523632
#214523622
#214520922
#214520892
#214520882
#214520872
#214520862
#214520852
#214520832
#214520822
#214515582
#214515542
#214512972
#214512952
#214494552
#214494512
#214491392
#214491362
#214484182
C61×#26962
#3671061