Finite Group Databasebeta

← #29852958

Subgroups — #29852958

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×#16840346C211yesmaximal, characteristic, complemented
2C2×#16840344C211yesmaximal, characteristic, complemented
3#21454185C211yesmaximal, characteristic, complemented
4#21454174C211yesmaximal, characteristic, complemented
5#21454162C211yesmaximal, characteristic, complemented
6#21454147C211yesmaximal, characteristic, complemented
7#21451963C211yesmaximal, characteristic, complemented
8#21451961C211yesmaximal, characteristic, complemented
9#21451946C211yesmaximal, characteristic, complemented
10#21451944C211yesmaximal, characteristic, complemented
11#21450888C211yesmaximal, characteristic, complemented
12#21450881C211yesmaximal, characteristic, complemented
13#21450879C211yesmaximal, characteristic, complemented
14#21450402C211yesmaximal, characteristic, complemented
15#21450179C211yesmaximal, characteristic, complemented
16#21449949C211yesmaximal, characteristic, complemented
17#21449941C211yesmaximal, characteristic, complemented
18#21449581C211yesmaximal, characteristic, complemented
19#21449514C211yesmaximal, characteristic, complemented
20#21449451C211yesmaximal, characteristic, complemented
21#21449404C211yesmaximal, characteristic, complemented
22#21449354C211yesmaximal, characteristic, complemented
23#21449352C211yesmaximal, characteristic, complemented
24#21449252C211yesmaximal, characteristic, complemented
25#21449168C211yesmaximal, characteristic, complemented
26#21448481C211yesmaximal, characteristic, complemented
27#21448475C211yesmaximal, characteristic, complemented
28C4×#14519750C211yesmaximal, characteristic, complemented
29#390×D61C211yesmaximal, characteristic, complemented
30C4×#14519737C211yesmaximal, characteristic, complemented
31C61×#2555C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33#16840346—28no—
34#16840344—28no—
35C2×#14519775C2211yescharacteristic, complemented
36C2×#14519773C2211yescharacteristic
37C2×#14519773C2211yescharacteristic
38C2×#14519772C2211yescharacteristic, complemented
39C2×#14519771C2211yescharacteristic, complemented
40C2×#14519770C2211yescharacteristic, complemented
41C2×#14519770C2211yescharacteristic, complemented
42C2×#14519766C2211yescharacteristic, complemented
43C2×#14519765C2211yescharacteristic, complemented
44C2×#14519764C2211yescharacteristic, complemented
45C2×#14519763C2211yescharacteristic, complemented
46C2×#14519761C2211yescharacteristic, complemented
47C2×#14519760C2211yescharacteristic, complemented
48C2×#14519759C2211yescharacteristic, complemented
49C2×#14519758C2211yescharacteristic, complemented
50C2×#14519755C2211yescharacteristic
51C2×#14519753C2211yescharacteristic
52C2×#14519751C2211yescharacteristic, complemented
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519748C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519747C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×C4×D244C2211yescharacteristic
69C2×C4×C22⋊D61C2211yescharacteristic
70C2×C4×C22⋊D61C2211yescharacteristic
71C2×C4×C22⋊D61C2211yescharacteristic, complemented
72C2×#14519737C2211yescharacteristic
73C2×#14519737C2211yescharacteristic
74C2×C4⋊C4×D61C2211yescharacteristic
75C2×C22⋊C4×D61C2211yescharacteristic
76C2×C22⋊C4×D61C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic
79C22×C4×Dic61C2211yescharacteristic, complemented
80C2×C42×D61C2211yescharacteristic
81#16839696C2211yescharacteristic, complemented
82#16839695C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic
91#16839680C2211yescharacteristic, complemented
92#16839679C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839677C2211yescharacteristic, complemented
97#16839676C2211yescharacteristic
98#16839676C2211yescharacteristic, complemented
99#16839676C2211yescharacteristic, complemented
100#16839676C2211yescharacteristic, complemented
101#16839674C2211yescharacteristic, complemented
102#16839673C2211yescharacteristic, complemented
103#16839672C2211yescharacteristic
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic
106#16839670C2211yescharacteristic
107#16839670C2211yescharacteristic, complemented
108#16839670C2211yescharacteristic, complemented
109#16839665C2211yescharacteristic
110#16839665C2211yescharacteristic, complemented
111#16839664C2211yescharacteristic
112#16839663C2211yescharacteristic
113#16839663C2211yescharacteristic, complemented
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#16839659C2211yescharacteristic, complemented
133#16839657C2211yescharacteristic, complemented
134#16839655C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839655C2211yescharacteristic, complemented
137#16839655C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic, complemented
139#16839654C2211yescharacteristic, complemented
140#16839653C2211yescharacteristic, complemented
141#16839653C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839651C2211yescharacteristic, complemented
145#16839651C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839650C2211yescharacteristic, complemented
148#16839641C2211yescharacteristic, complemented
149#16839641C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic
151#16839640C2211yescharacteristic
152#16839640C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic
154#16839638C2211yescharacteristic
155#16839638C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839631C2211yescharacteristic, complemented
159#16839621C2211yescharacteristic
160#16839620C2211yescharacteristic, complemented
161#16839617C2211yescharacteristic
162#16839617C2211yescharacteristic
163C4×#11758196C2211yescharacteristic, complemented
164C4×#11758196C2211yescharacteristic, complemented
165#16839613C2211yescharacteristic, complemented
166#16839613C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C4×#11758198C2211yescharacteristic
170C4×#11758198C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic
172#16839609C2211yescharacteristic
173C42×Dic61C2211yescharacteristic, complemented
174C2×#124×C61C2211yescharacteristic, complemented
175C2×#124×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C61×#395C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#392C2211yescharacteristic
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C2×D4×D61—24no—
209C2×D4×D61—42no—
210C2×D4×D61—42no—
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519775—42no—
220#14519773—42no—
221#14519773—42no—
222#14519772—24no—
223#14519771—24no—
224#14519770—24no—
225#14519770—24no—
226#14519766—24no—
227#14519765—42no—
228#14519764—24no—
229#14519763—24no—
230#14519761—24no—
231#14519760—24no—
232#14519759—24no—
233#14519758—24no—
234#14519755—24no—
235#14519753—24no—
236#14519751—42no—
237#14519750—24no—
238#14519750—24no—
239#14519750—24no—
240#14519749—24no—
241#14519749—24no—
242#14519749—42no—
243#14519749—42no—
244#14519749—42no—
245#14519748—24no—
246#14519747—24no—
247#14519747—24no—
248#14519745—24no—
249#14519745—24no—
250#14519745—24no—
251#14519745—24no—
252C4×D244—24no—
253C4×C22⋊D61—24no—
254C4×C22⋊D61—24no—
255C4×C22⋊D61—42no—
256#14519737—24no—
257#14519737D418yescomplemented
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C4⋊C4×D61—42no—
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×#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
326C22⋊C4×D61—24no—
327C22⋊C4×D61—24no—
328C22⋊C4×D61—42no—
329C22⋊C4×D61—42no—
330C2×C4×Dic61—42no—
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
358C22×Q8×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367#124×C61—24no—
368#124×C61—42no—
369#121×C61—24no—
370#121×C61—42no—
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊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×C42×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×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—22no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
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—22no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
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—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
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—
492C2×C22⋊D61C2×D414yes—
493C22×Dic61—22no—
494C22×Dic61—22no—
495C22×Dic61—22no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61C2×D414yescomplemented
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511D4×D61—416no—
512C2×D244—22no—
513C2×D244—22no—
514C2×D244—22no—
515C2×D244—22no—
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—41no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—22no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×C4×D61—41no—
535C2×C4×D61—41no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61C2×D414yes—
541C2×C4×D61#4114yes—
542C2×Dic122—22no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C4⋊C4×C61—22no—
546C4⋊C4×C61—41no—
547C4⋊C4×C61—41no—
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—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61C2×D414yescomplemented
562C42×C61—22no—
563C42×C61—22no—
564C42×C61—41no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
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—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
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×D414yes—
610#11758198#4114yes—
611C4⋊Dic61—22no—
612C4⋊Dic61—22no—
613C4⋊Dic61—22no—
614C4⋊Dic61—41no—
615C4⋊Dic61—41no—
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—22no—
625#11758196—22no—
626#11758196—22no—
627#11758196—22no—
628#11758196—22no—
629#11758196—41no—
630#11758196—41no—
631#11758196C2×D414yescomplemented
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—21no—
670C23×C61—21no—
671C23×C61C22×D412yes—
672C23×C61C2511yescharacteristic
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—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—44no—
699C22×D61—44no—
700C22×D61—44no—
701C22×D61—44no—
702C22×D61—44no—
703C22×D61—44no—
704C22×D61—82no—
705C22×D61—82no—
706C22×D61—82no—
707C22×D61—82no—
708C22×D61—82no—
709C22×D61—82no—
710C22×D61—82no—
711C22×D61—82no—
712C22×D61C22×D412yes—
713C22×D61C2×#4112yes—
714C22×D61C2×#4112yes—
715Q8×C61—82no—
716D4×C61—44no—
717D4×C61—82no—
718D4×C61—82no—
719D4×C61—82no—
720D4×C61—82no—
721D4×C61—82no—
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—21no—
750C2×C4×C61—44no—
751C2×C4×C61—82no—
752C2×C4×C61C22×D412yes—
753C2×C4×C61C22×D412yes—
754C2×C4×C61C2×#4112yes—
755C2×C4×C61C2×#4112yes—
756C2×C4×C61H(5,𝔽2)12yes—
757C22⋊D61—28no—
758C22⋊D61—44no—
759C22⋊D61—44no—
760C22⋊D61—44no—
761C22⋊D61—44no—
762C22⋊D61—82no—
763C22⋊D61—82no—
764C22⋊D61—82no—
765C22⋊D61—82no—
766C22⋊D61—82no—
767C22⋊D61—82no—
768C22⋊D61—82no—
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—21no—
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—21no—
797C2×Dic61—21no—
798C2×Dic61—44no—
799C2×Dic61—44no—
800C2×Dic61C22×D412yes—
801C2×Dic61C22×D412yes—
802C2×Dic61C22×D412yes—
803C2×Dic61C2×#4112yes—
804C2×Dic61C2×#4112yes—
805C2×Dic61H(5,𝔽2)12yes—
806C2×Dic61H(5,𝔽2)12yes—
807D244—44no—
808D244—44no—
809D244—82no—
810D244—82no—
811C4×D61—28no—
812C4×D61—44no—
813C4×D61—44no—
814C4×D61—82no—
815C4×D61—82no—
816C4×D61—82no—
817Dic122—82no—
818#35007—611nomaximal, Sylow
819C22×C61—22no—
820C22×C61—22no—
821C22×C61—22no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
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—41no—
847C22×C61C23×D411yescharacteristic
848C22×C61C22×#4111yescharacteristic
849C22×C61C22×#4111yescharacteristic
850C22×C61C2×H(5,𝔽2)11yescharacteristic
851C22×C61C2×H(5,𝔽2)11yescharacteristic
852C22×C61C2×H(5,𝔽2)11yescharacteristic
853C22×C61#58511yescharacteristic
854C2×D61—22no—
855C2×D61—22no—
856C2×D61—22no—
857C2×D61—22no—
858C2×D61—22no—
859C2×D61—22no—
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—88no—
882C2×D61—88no—
883C2×D61#53214yes—
884C4×C61—22no—
885C4×C61—22no—
886C4×C61—22no—
887C4×C61—22no—
888C4×C61—22no—
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—41no—
900Dic61—41no—
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#2555D6111yescharacteristic, complemented
919#2554—611no—
920#2554—611no—
921#2512—611no—
922#2491—611no—
923#2472—611no—
924#2472—611no—
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—42no—
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—24no—
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×#124C2×D6111yescharacteristic, complemented
968C2×#124C2×D6111yescharacteristic, complemented
969C2×#123—611no—
970C2×#123—611no—
971C2×#123—611no—
972C2×#123—611no—
973C2×C22⋊Q8—611no—
974C2×C22⋊Q8—611no—
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×#121C2×D6111yescharacteristic, complemented
986C2×#121C2×D6111yescharacteristic, complemented
987C2×#120—611no—
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120—611no—
992C2×#120—611no—
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⋊C4—611no—
1004C22×C42—611no—
1005C22×C42—611no—
1006#398—611no—
1007#398—611no—
1008#397—611no—
1009#397—611no—
1010#396—611no—
1011#396—611no—
1012#396—611no—
1013#396—611no—
1014#395—611no—
1015#395C2×D6111yescharacteristic, complemented
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#394—611no—
1027#394C2×D6111yescharacteristic, complemented
1028#393—611no—
1029#393—611no—
1030#392—611no—
1031#392—611no—
1032#392—611no—
1033#392—611no—
1034#392—611no—
1035#392—611no—
1036#392C2×D6111yescharacteristic
1037#392C2×D6111yescharacteristic
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
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, complemented
1089#386C2×D6111yescharacteristic, complemented
1090#385—611no—
1091#385—611no—
1092#384—611no—
1093#380—611no—
1094#380—611no—
1095#379—611no—
1096#379—611no—
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⋊C4C2×D6111yescharacteristic, complemented
1108C4×C22⋊C4C2×D6111yescharacteristic, complemented
1109C43—611no—
1110C61#3500711yescharacteristic, complemented, Sylow
1111C25—611no—
1112C25—611no—
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—1224no—
1132C22×D4—2442no—
1133C22×D4—2442no—
1134C22×D4C22×D6111yescharacteristic
1135C22×D4C22×D6111yescharacteristic
1136C22×D4C22×D6111yescharacteristic
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—24no—
1158#124—42no—
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—1224no—
1168C22⋊Q8—1224no—
1169#121—24no—
1170#121—42no—
1171#121—1224no—
1172#121—1224no—
1173#121—1224no—
1174#121—1224no—
1175#121—1224no—
1176#121—1224no—
1177#121—2442no—
1178#121—2442no—
1179#121—2442no—
1180#121—2442no—
1181#120—1224no—
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—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—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—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—1224no—
1265C2×C22⋊C4—1224no—
1266C2×C22⋊C4—2442no—
1267C2×C22⋊C4—2442no—
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—2442no—
1295C2×C42—2442no—
1296C2×C42C22×D6111yescharacteristic
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—611no—
1320C24—611no—
1321C24—611no—
1322C24—611no—
1323C24—1222no—
1324C24—1222no—
1325C24—1222no—
1326C24—1222no—
1327C24—1222no—
1328C24—1222no—
1329C24—2441no—
1330C24—2441no—
1331C24—2441no—
1332C24—2441no—
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—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—614no—
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—1222no—
1386C2×D4—1222no—
1387C2×D4—1222no—
1388C2×D4—1222no—
1389C2×D4—1222no—
1390C2×D4—1222no—
1391C2×D4—1222no—
1392C2×D4—1222no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4—2441no—
1396C2×D4—2441no—
1397C2×D4—2441no—
1398C2×D4—2441no—
1399C2×D4—24416no—
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—2441no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—611no—
1421C22×C4—611no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—614no—
1426C22×C4—614no—
1427C22×C4—614no—
1428C22×C4—611no—
1429C22×C4—611no—
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—41no—
1469C4⋊C4—41no—
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—1222no—
1486C4⋊C4—1222no—
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—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—614no—
1505C22⋊C4—614no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
1508C22⋊C4—1222no—
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—2441no—
1536C22⋊C4—2441no—
1537C22⋊C4—2441no—
1538C22⋊C4—2441no—
1539C22⋊C4—2441no—
1540C22⋊C4—2441no—
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×D6114yescomplemented
1551C42—22no—
1552C42—22no—
1553C42—41no—
1554C42—614no—
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—21no—
1592C23—21no—
1593C23—612no—
1594C23—612no—
1595C23—612no—
1596C23—1221no—
1597C23—1221no—
1598C23—1221no—
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—4882no—
1622C23—4882no—
1623C23—4882no—
1624C23—4882no—
1625C23—4882no—
1626C23—4882no—
1627C23—4882no—
1628C23—4882no—
1629C23—2444no—
1630C23—2444no—
1631C23—2444no—
1632C23—2444no—
1633C23—2444no—
1634C23—2444no—
1635C23C2×D4×D6112yes—
1636C23C24×D6111yescharacteristic
1637Q8—82no—
1638Q8—4882no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—1228no—
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—44no—
1690C2×C4—82no—
1691C2×C4—612no—
1692C2×C4—612no—
1693C2×C4—612no—
1694C2×C4—612no—
1695C2×C4—612no—
1696C2×C4—612no—
1697C2×C4—612no—
1698C2×C4—1228no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
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—4882no—
1729C2×C4—4882no—
1730C2×C4—4882no—
1731C2×C4—2444no—
1732C2×C4—2444no—
1733C2×C4—2444no—
1734C2×C4—2444no—
1735C2×C4C2×D4×D6112yes—
1736C2×C4C2×D4×D6112yes—
1737C2×C4#41×D6112yes—
1738C2×C4#41×D6112yes—
1739C2×C4#1451982212yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
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—41no—
1768C22—614no—
1769C22—1222no—
1770C22—1222no—
1771C22—1222no—
1772C22—1222no—
1773C22—1222no—
1774C22—1222no—
1775C22—4888no—
1776C22—4888no—
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—2441no—
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—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—614no—
1817C4—1222no—
1818C4—1222no—
1819C4—1222no—
1820C4—1222no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4—2441no—
1826C4—2441no—
1827C4—2441no—
1828C2—42no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—1224no—
1833C2—4881no—
1834C2—4881no—
1835C2—4881no—
1836C2#532×D6111yescharacteristic
1837C2#538×D6111yescharacteristic
1838C2#2145923311yescharacteristic
1839C2#2145957911yescharacteristic
1840C2#2145959111yescharacteristic
1841C2#2145977611yescharacteristic
1842C2#2145984011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2555C2
hypercenter#2555D61
hypocenterC61#35007
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#16840346C2semidirect
2. C2×#16840344C2semidirect
3. #21454185C2semidirect
4. #21454174C2semidirect
5. #21454162C2semidirect
6. #21454147C2semidirect
7. #21451963C2semidirect
8. #21451961C2semidirect
9. #21451946C2semidirect
10. #21451944C2semidirect
11. #21450888C2semidirect
12. #21450881C2semidirect
13. #21450879C2semidirect
14. #21450402C2semidirect
15. #21450179C2semidirect
16. #21449949C2semidirect
17. #21449941C2semidirect
18. #21449581C2semidirect
19. #21449514C2semidirect
20. #21449451C2semidirect
21. #21449404C2semidirect
22. #21449354C2semidirect
23. #21449352C2semidirect
24. #21449252C2semidirect
25. #21449168C2semidirect
26. #21448481C2semidirect
27. #21448475C2semidirect
28. C4×#14519750C2semidirect
29. #390×D61C2semidirect
30. C4×#14519737C2semidirect
31. C61×#2555C2semidirect
35. C2×#14519775C22semidirect
38. C2×#14519772C22semidirect
39. C2×#14519771C22semidirect
40. C2×#14519770C22semidirect
41. C2×#14519770C22semidirect
42. C2×#14519766C22semidirect
43. C2×#14519765C22semidirect
44. C2×#14519764C22semidirect
45. C2×#14519763C22semidirect
46. C2×#14519761C22semidirect
47. C2×#14519760C22semidirect
48. C2×#14519759C22semidirect
49. C2×#14519758C22semidirect
52. C2×#14519751C22semidirect
55. C2×#14519750C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
60. C2×#14519749C22semidirect
71. C2×C4×C22⋊D61C22semidirect
79. C22×C4×Dic61C22semidirect
81. #16839696C22semidirect
82. #16839695C22semidirect
83. #16839691C22semidirect
84. #16839690C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
87. #16839684C22semidirect
88. #16839684C22semidirect
89. #16839683C22semidirect
91. #16839680C22semidirect
92. #16839679C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839677C22semidirect
96. #16839677C22semidirect
98. #16839676C22semidirect
99. #16839676C22semidirect
100. #16839676C22semidirect
101. #16839674C22semidirect
102. #16839673C22semidirect
107. #16839670C22semidirect
108. #16839670C22semidirect
110. #16839665C22semidirect
113. #16839663C22semidirect
122. #16839662C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839659C22semidirect
131. #16839659C22semidirect
132. #16839659C22semidirect
133. #16839657C22semidirect
134. #16839655C22semidirect
135. #16839655C22semidirect
136. #16839655C22semidirect
137. #16839655C22semidirect
138. #16839654C22semidirect
139. #16839654C22semidirect
140. #16839653C22semidirect
141. #16839653C22semidirect
142. #16839651C22semidirect
143. #16839651C22semidirect
144. #16839651C22semidirect
145. #16839651C22semidirect
146. #16839650C22semidirect
147. #16839650C22semidirect
148. #16839641C22semidirect
149. #16839641C22semidirect
152. #16839640C22semidirect
155. #16839638C22semidirect
158. #16839631C22semidirect
160. #16839620C22semidirect
163. C4×#11758196C22semidirect
164. C4×#11758196C22semidirect
165. #16839613C22semidirect
166. #16839613C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
170. C4×#11758198C22semidirect
173. C42×Dic61C22semidirect
174. C2×#124×C61C22semidirect
175. C2×#124×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
178. C61×#395C22semidirect
179. C61×#394C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C4×C22⋊C4×C61C22semidirect
188. C4×C22⋊C4×C61C22semidirect
257. #14519737D4semidirect
498. C22×Dic61C2×D4semidirect
561. C22⋊C4×C61C2×D4semidirect
631. #11758196C2×D4semidirect
643. C4×Dic61C2×D4semidirect
906. Dic61#538semidirect
918. #2555D61semidirect
967. C2×#124C2×D61semidirect
968. C2×#124C2×D61semidirect
985. C2×#121C2×D61semidirect
986. C2×#121C2×D61semidirect
1015. #395C2×D61semidirect
1027. #394C2×D61semidirect
1078. #388C2×D61semidirect
1079. #388C2×D61semidirect
1088. #386C2×D61semidirect
1089. #386C2×D61semidirect
1107. C4×C22⋊C4C2×D61semidirect
1108. C4×C22⋊C4C2×D61semidirect
1110. C61#35007semidirect
1550. C22⋊C4D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403462
C2×#168403442
#214541852
#214541742
#214541622
#214541472
#214519632
#214519612
#214519462
#214519442
#214508882
#214508812
#214508792
#214504022
#214501792
#214499492
#214499412
#214495812
#214495142
#214494512
#214494042
#214493542
#214493522
#214492522
#214491682
#214484812
#214484752
C4×#145197502
#390×D612
C4×#145197372
C61×#25552
#3500761