Finite Group Databasebeta

← #29848767

Subgroups — #29848767

Order 15616.

3578 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840271C211yesmaximal, characteristic, complemented
2C2×#16840271C211yesmaximal, characteristic, complemented
3C2×C4×D4×D61C211yesmaximal, characteristic, complemented
4C22×#14519734C211yesmaximal, characteristic, complemented
5#21449269C211yesmaximal, characteristic, complemented
6#21449267C211yesmaximal, characteristic, complemented
7#21449258C211yesmaximal, characteristic, complemented
8#21449256C211yesmaximal, characteristic, complemented
9#21449247C211yesmaximal, characteristic, complemented
10#21449245C211yesmaximal, characteristic, complemented
11#21449236C211yesmaximal, characteristic, complemented
12#21449234C211yesmaximal, characteristic, complemented
13#21449225C211yesmaximal, characteristic, complemented
14#21449223C211yesmaximal, characteristic, complemented
15#21449214C211yesmaximal, characteristic, complemented
16#21449212C211yesmaximal, characteristic, complemented
17#21449203C211yesmaximal, characteristic, complemented
18#21449201C211yesmaximal, characteristic, complemented
19#21449192C211yesmaximal, characteristic, complemented
20#21449190C211yesmaximal, characteristic, complemented
21#21449063C211yesmaximal, characteristic, complemented
22#21449063C211yesmaximal, characteristic, complemented
23#21449059C211yesmaximal, characteristic, complemented
24#21449057C211yesmaximal, characteristic, complemented
25C4×#14519751C211yesmaximal, characteristic, complemented
26C4×#14519749C211yesmaximal, characteristic, complemented
27C4×#14519749C211yesmaximal, characteristic, complemented
28#21448305C211yesmaximal, characteristic, complemented
29#21448299C211yesmaximal, characteristic, complemented
30#21448200C211yesmaximal, characteristic, complemented
31C4×#121×C61C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840271—28no—
37#16840271—28no—
38C2×#14519762C2211yescharacteristic
39C2×#14519762C2211yescharacteristic
40C2×#14519759C2211yescharacteristic
41C2×#14519759C2211yescharacteristic
42C2×#14519755C2211yescharacteristic, complemented
43C2×#14519755C2211yescharacteristic, complemented
44C2×#14519754C2211yescharacteristic, complemented
45C2×#14519754C2211yescharacteristic, complemented
46C2×#14519751C2211yescharacteristic
47C2×#14519750C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic, complemented
49C2×#14519749C2211yescharacteristic
50C2×#14519749C2211yescharacteristic
51C2×#14519749C2211yescharacteristic, complemented
52C2×#14519749C2211yescharacteristic, complemented
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic
55C2×#14519745C2211yescharacteristic
56C2×#14519745C2211yescharacteristic
57C2×C4×D244C2211yescharacteristic
58C2×C4×D244C2211yescharacteristic, complemented
59C2×C4×D244C2211yescharacteristic, complemented
60C2×D4×Dic61C2211yescharacteristic
61C2×#14519739C2211yescharacteristic
62C2×C4×C22⋊D61C2211yescharacteristic
63C2×C4×C22⋊D61C2211yescharacteristic
64C2×C4×C22⋊D61C2211yescharacteristic, complemented
65C2×C4×C22⋊D61C2211yescharacteristic, complemented
66C2×C4×C22⋊D61C2211yescharacteristic, complemented
67C2×C4×C22⋊D61C2211yescharacteristic, complemented
68C2×#14519737C2211yescharacteristic
69C2×#14519737C2211yescharacteristic
70C4×D4×D61—28no—
71C2×#14519734—28no—
72C2×#14519734C2211yescharacteristic
73C2×#14519734C2211yescharacteristic
74C2×#14519734C2211yescharacteristic
75C2×#14519734C2211yescharacteristic
76C2×#14519734C2211yescharacteristic
77C2×#14519734C2211yescharacteristic, complemented
78C2×#14519734C2211yescharacteristic, complemented
79C2×#14519734C2211yescharacteristic, complemented
80C2×#14519734C2211yescharacteristic, complemented
81C22×#11758196C2211yescharacteristic, complemented
82C22×#11758196C2211yescharacteristic, complemented
83C2×C4⋊C4×D61C2211yescharacteristic
84C22×#11758198C2211yescharacteristic
85C22×#11758198C2211yescharacteristic
86C2×C22⋊C4×D61C2211yescharacteristic
87C2×C22⋊C4×D61C2211yescharacteristic
88C22×C4×Dic61C2211yescharacteristic, complemented
89C2×C42×D61C2211yescharacteristic
90#16839696C2211yescharacteristic, complemented
91#16839696C2211yescharacteristic, complemented
92#16839694C2211yescharacteristic, complemented
93#16839693C2211yescharacteristic, complemented
94#16839691C2211yescharacteristic, complemented
95#16839691C2211yescharacteristic, complemented
96#16839689C2211yescharacteristic, complemented
97#16839688C2211yescharacteristic, complemented
98#16839686C2211yescharacteristic, complemented
99#16839686C2211yescharacteristic, complemented
100#16839685C2211yescharacteristic, complemented
101#16839685C2211yescharacteristic, complemented
102#16839685C2211yescharacteristic, complemented
103#16839685C2211yescharacteristic, complemented
104#16839684C2211yescharacteristic, complemented
105#16839684C2211yescharacteristic, complemented
106#16839680C2211yescharacteristic
107#16839680C2211yescharacteristic, complemented
108#16839680C2211yescharacteristic, complemented
109#16839679C2211yescharacteristic
110#16839679C2211yescharacteristic, complemented
111#16839678C2211yescharacteristic
112#16839678C2211yescharacteristic, complemented
113#16839677C2211yescharacteristic
114#16839677C2211yescharacteristic, complemented
115#16839677C2211yescharacteristic, complemented
116#16839677C2211yescharacteristic, complemented
117#16839676C2211yescharacteristic, complemented
118#16839672C2211yescharacteristic
119#16839671C2211yescharacteristic
120#16839671C2211yescharacteristic
121#16839670C2211yescharacteristic
122#16839666C2211yescharacteristic, complemented
123#16839666C2211yescharacteristic, complemented
124#16839664C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839660C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839659C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839657C2211yescharacteristic, complemented
134#16839657C2211yescharacteristic, complemented
135#16839657C2211yescharacteristic, complemented
136#16839656C2211yescharacteristic, complemented
137#16839656C2211yescharacteristic, complemented
138#16839653C2211yescharacteristic, complemented
139#16839653C2211yescharacteristic, complemented
140#16839652C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839642C2211yescharacteristic
143#16839642C2211yescharacteristic, complemented
144#16839641C2211yescharacteristic
145#16839641C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic
147#16839640C2211yescharacteristic
148#16839639C2211yescharacteristic
149#16839639C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic
151#16839638C2211yescharacteristic
152#16839636C2211yescharacteristic
153#16839636C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic
158#16839622C2211yescharacteristic, complemented
159#16839621C2211yescharacteristic, complemented
160#16839621C2211yescharacteristic, complemented
161#16839620C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839620C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167C4×#11758196C2211yescharacteristic, complemented
168C4×#11758196C2211yescharacteristic, complemented
169C4×C4⋊Dic61C2211yescharacteristic, complemented
170C4×#11758198C2211yescharacteristic, complemented
171C4×#11758198C2211yescharacteristic, complemented
172C4×#11758198C2211yescharacteristic, complemented
173C4×#11758198C2211yescharacteristic, complemented
174C4×C22⋊Dic61C2211yescharacteristic, complemented
175C4×C22⋊Dic61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic
177C2×C4×D4×C61C2211yescharacteristic
178C2×C4×D4×C61C2211yescharacteristic, complemented
179C2×C4×D4×C61C2211yescharacteristic, complemented
180C22×C42×C61C2211yescharacteristic, complemented
181C61×#390C2211yescharacteristic, complemented
182C61×#389C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C4×C4⋊C4×C61C2211yescharacteristic, complemented
189C4×C22⋊C4×C61C2211yescharacteristic, complemented
190C4×C22⋊C4×C61C2211yescharacteristic, complemented
191C24×D61C2311yescharacteristic
192C24×D61C2311yescharacteristic
193C2×#11758222—24no—
194C2×#11758222—24no—
195C2×#11758222—24no—
196C22×Dic122C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C2×D4×D61—24no—
210C2×D4×D61—24no—
211C2×D4×D61—24no—
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C22×C4×D61—24no—
217C22×C4×D61—24no—
218C22×C4×D61—24no—
219C22×C4×D61—24no—
220C22×C4×D61—24no—
221C22×C4×D61D418yescomplemented
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232#14519762—24no—
233#14519762—24no—
234#14519759—24no—
235#14519759—24no—
236#14519755—24no—
237#14519755—24no—
238#14519754—24no—
239#14519754—24no—
240#14519751—24no—
241#14519750—24no—
242#14519750—24no—
243#14519749—24no—
244#14519749—24no—
245#14519749—24no—
246#14519749—24no—
247#14519747—24no—
248#14519747—24no—
249#14519745—24no—
250#14519745—24no—
251C4×D244—24no—
252C4×D244—24no—
253C4×D244—24no—
254D4×Dic61—24no—
255#14519739—24no—
256C4×C22⋊D61—24no—
257C4×C22⋊D61—24no—
258C4×C22⋊D61—24no—
259C4×C22⋊D61—24no—
260C4×C22⋊D61—24no—
261C4×C22⋊D61—24no—
262#14519737—24no—
263#14519737—24no—
264#14519734—24no—
265#14519734—24no—
266#14519734—24no—
267#14519734—24no—
268#14519734—24no—
269#14519734—24no—
270#14519734—24no—
271#14519734—24no—
272#14519734D418yescomplemented
273C2×C4⋊Dic61C2311yescharacteristic
274C2×C4⋊Dic61C2311yescharacteristic
275C2×C4⋊Dic61C2311yescharacteristic
276C2×C4⋊Dic61C2311yescharacteristic
277C2×C4⋊Dic61C2311yescharacteristic
278C2×#11758196—24no—
279C2×#11758196—24no—
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C2×#11758196C2311yescharacteristic
288C2×#11758196C2311yescharacteristic
289C2×#11758196C2311yescharacteristic
290C2×#11758196C2311yescharacteristic
291C2×#11758196C2311yescharacteristic
292C2×#11758196C2311yescharacteristic
293C2×#11758196C2311yescharacteristic
294C2×#11758196C2311yescharacteristic
295C2×#11758196C2311yescharacteristic
296C2×#11758196C2311yescharacteristic
297C2×#11758196C2311yescharacteristic
298C2×#11758196C2311yescharacteristic
299C2×#11758196C2311yescharacteristic
300C4⋊C4×D61—24no—
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×C22⋊Dic61C2311yescharacteristic
309C2×C22⋊Dic61C2311yescharacteristic
310C2×C22⋊Dic61C2311yescharacteristic
311C2×#11758198—24no—
312C2×#11758198—24no—
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
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C2×#11758198C2311yescharacteristic
340C2×#11758198C2311yescharacteristic
341C2×#11758198C2311yescharacteristic
342C2×#11758198C2311yescharacteristic
343C22⋊C4×D61—24no—
344C22⋊C4×D61—24no—
345C2×C4×Dic61—24no—
346C2×C4×Dic61C2311yescharacteristic
347C2×C4×Dic61C2311yescharacteristic
348C2×C4×Dic61C2311yescharacteristic
349C2×C4×Dic61C2311yescharacteristic
350C2×C4×Dic61C2311yescharacteristic
351C2×C4×Dic61C2311yescharacteristic
352C2×C4×Dic61C2311yescharacteristic
353C2×C4×Dic61C2311yescharacteristic
354C42×D61—24no—
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362#14519684C2311yescharacteristic
363#14519684C2311yescharacteristic
364#14519684C2311yescharacteristic
365#14519684C2311yescharacteristic
366#14519684C2311yescharacteristic
367#14519684C2311yescharacteristic
368#14519684C2311yescharacteristic
369#14519684C2311yescharacteristic
370#14519684C2311yescharacteristic
371#14519684C2311yescharacteristic
372#14519684C2311yescharacteristic
373C22×D4×C61C2311yescharacteristic
374C22×D4×C61C2311yescharacteristic
375C22×D4×C61C2311yescharacteristic
376C23×C4×C61C2311yescharacteristic
377C23×C4×C61C2311yescharacteristic
378C23×C4×C61C2311yescharacteristic
379C23×C4×C61C2311yescharacteristic
380C23×C4×C61C2311yescharacteristic
381#121×C61—24no—
382C4×D4×C61—24no—
383C4×D4×C61—24no—
384C4×D4×C61—24no—
385C2×C4⋊C4×C61C2311yescharacteristic
386C2×C4⋊C4×C61C2311yescharacteristic
387C2×C4⋊C4×C61C2311yescharacteristic
388C2×C4⋊C4×C61C2311yescharacteristic
389C2×C4⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393C2×C22⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61C2311yescharacteristic
395C2×C22⋊C4×C61C2311yescharacteristic
396C2×C22⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61C2311yescharacteristic
398C2×C22⋊C4×C61C2311yescharacteristic
399C2×C22⋊C4×C61C2311yescharacteristic
400C2×C42×C61—24no—
401C2×C42×C61C2311yescharacteristic
402C2×C42×C61C2311yescharacteristic
403C2×C42×C61C2311yescharacteristic
404C2×C42×C61C2311yescharacteristic
405C2×C42×C61C2311yescharacteristic
406C2×C42×C61C2311yescharacteristic
407#95×C61C2311yescharacteristic
408#95×C61C2311yescharacteristic
409#95×C61C2311yescharacteristic
410#95×C61C2311yescharacteristic
411#95×C61C2311yescharacteristic
412#95×C61C2311yescharacteristic
413C24×C61C2411yescharacteristic
414C24×C61C2411yescharacteristic
415C24×C61C2411yescharacteristic
416C23×D61—22no—
417C23×D61—22no—
418C23×D61—22no—
419C23×D61—22no—
420C23×D61—22no—
421C23×D61—22no—
422C23×D61—22no—
423C23×D61—22no—
424C23×D61—22no—
425C23×D61—41no—
426C23×D61—41no—
427C23×D61—41no—
428C23×D61—41no—
429C23×D61C2×D414yes—
430C23×D61C2411yescharacteristic
431C23×D61C2411yescharacteristic
432C23×D61C2411yescharacteristic
433C23×D61C2411yescharacteristic
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—22no—
440C2×D4×C61—22no—
441C2×D4×C61—41no—
442C2×D4×C61#4114yescomplemented
443C22×C4×C61—22no—
444C22×C4×C61—22no—
445C22×C4×C61—22no—
446C22×C4×C61—22no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
455C22×C4×C61—41no—
456C22×C4×C61—41no—
457C22×C4×C61C2×D414yes—
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
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—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61#4114yescomplemented
494C22×Dic61—22no—
495C22×Dic61—22no—
496C22×Dic61—22no—
497C22×Dic61—22no—
498C22×Dic61—22no—
499C22×Dic61—22no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—22no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61C2×D414yes—
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518D4×D61—232no—
519#11758222—416no—
520C2×D244—22no—
521C2×D244—22no—
522C2×D244—22no—
523C2×D244—22no—
524C2×D244—22no—
525C2×D244—22no—
526C2×D244—22no—
527C2×D244—22no—
528C2×D244—22no—
529C2×D244—41no—
530C2×D244—41no—
531C2×D244—41no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—22no—
537C2×C4×D61—22no—
538C2×C4×D61—22no—
539C2×C4×D61—22no—
540C2×C4×D61—22no—
541C2×C4×D61—232no—
542C2×C4×D61—22no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—22no—
546C2×C4×D61—22no—
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—41no—
556C2×C4×D61—41no—
557C2×C4×D61—416no—
558C2×C4×D61C2×D414yes—
559C2×C4×D61C2×D414yes—
560C2×C4×D61C2×D414yes—
561C2×C4×D61C2×D414yes—
562C2×C4×D61C2×D414yes—
563C2×C4×D61#4114yes—
564C2×Dic122—22no—
565C2×Dic122—22no—
566C2×Dic122—22no—
567C4⋊C4×C61—22no—
568C4⋊C4×C61—22no—
569C4⋊C4×C61—22no—
570C4⋊C4×C61—22no—
571C4⋊C4×C61—41no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—22no—
575C22⋊C4×C61—22no—
576C22⋊C4×C61—22no—
577C22⋊C4×C61—22no—
578C22⋊C4×C61—22no—
579C22⋊C4×C61—22no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C42×C61—22no—
583C42×C61—22no—
584C42×C61—22no—
585C42×C61—22no—
586C42×C61—22no—
587C42×C61C2×D414yescomplemented
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—22no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598#11758198—22no—
599#11758198—22no—
600#11758198—22no—
601#11758198—22no—
602#11758198—22no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
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—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198C2×D414yes—
627#11758198C2×D414yes—
628C4⋊Dic61—22no—
629C4⋊Dic61—22no—
630C4⋊Dic61—22no—
631C4⋊Dic61—22no—
632C4⋊Dic61—41no—
633#11758196—22no—
634#11758196—22no—
635#11758196—22no—
636#11758196—22no—
637#11758196—22no—
638#11758196—22no—
639#11758196—22no—
640#11758196—22no—
641#11758196—22no—
642#11758196—22no—
643#11758196—22no—
644#11758196—22no—
645#11758196—22no—
646#11758196—22no—
647#11758196—22no—
648#11758196—22no—
649#11758196—41no—
650#11758196—41no—
651#11758196C2×D414yescomplemented
652#11758196C2×D414yescomplemented
653C4×Dic61—22no—
654C4×Dic61—22no—
655C4×Dic61—22no—
656C4×Dic61—22no—
657C4×Dic61—22no—
658C4×Dic61—22no—
659C4×Dic61—22no—
660C4×Dic61C2×D414yescomplemented
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×C61—21no—
678C23×C61C22×D412yes—
679C23×C61C2×#4112yes—
680C23×C61C2×#4112yes—
681C23×C61C2×#4112yes—
682C23×C61C2511yescharacteristic
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—28no—
688C22×D61—28no—
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—28no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—44no—
710C22×D61—44no—
711C22×D61—44no—
712C22×D61—44no—
713C22×D61—44no—
714C22×D61—44no—
715C22×D61—44no—
716C22×D61—44no—
717C22×D61—44no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61C22×D412yes—
721C22×D61C22×D412yes—
722C22×D61C22×D412yes—
723C22×D61C2×#4112yes—
724C22×D61C2×#4112yes—
725D4×C61—28no—
726D4×C61—44no—
727D4×C61—44no—
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—28no—
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—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—44no—
759C2×C4×C61—44no—
760C2×C4×C61—44no—
761C2×C4×C61—44no—
762C2×C4×C61C22×D412yes—
763C2×C4×C61C22×D412yes—
764C2×C4×C61C22×D412yes—
765C2×C4×C61C22×D412yes—
766C2×C4×C61C22×D412yes—
767C2×C4×C61C2×#4112yes—
768C2×C4×C61C2×#4112yes—
769C22⋊D61—28no—
770C22⋊D61—28no—
771C22⋊D61—44no—
772C22⋊D61—44no—
773C22⋊D61—44no—
774C22⋊D61—44no—
775C22⋊D61—44no—
776C22⋊D61—44no—
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—28no—
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—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—44no—
808C2×Dic61—44no—
809C2×Dic61—44no—
810C2×Dic61C22×D412yes—
811C2×Dic61C22×D412yes—
812C2×Dic61C22×D412yes—
813C2×Dic61C22×D412yes—
814C2×Dic61C22×D412yes—
815C2×Dic61C2×#4112yes—
816C2×Dic61C2×#4112yes—
817D244—28no—
818D244—44no—
819D244—44no—
820D244—44no—
821C4×D61—28no—
822C4×D61—28no—
823C4×D61—28no—
824C4×D61—28no—
825C4×D61—44no—
826C4×D61—44no—
827C4×D61—44no—
828C4×D61—44no—
829C4×D61—44no—
830C4×D61#121116yescomplemented
831Dic122—44no—
832#34737—611nomaximal, Sylow
833C22×C61—22no—
834C22×C61—22no—
835C22×C61—22no—
836C22×C61—22no—
837C22×C61—22no—
838C22×C61—22no—
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61#52514yescomplemented
854C22×C61C23×D411yescharacteristic
855C22×C61C23×D411yescharacteristic
856C22×C61C22×#4111yescharacteristic
857C22×C61C22×#4111yescharacteristic
858C22×C61C22×#4111yescharacteristic
859C22×C61#58511yescharacteristic
860C22×C61#58511yescharacteristic
861C2×D61—22no—
862C2×D61—22no—
863C2×D61—22no—
864C2×D61—22no—
865C2×D61—22no—
866C2×D61—22no—
867C2×D61—22no—
868C2×D61—22no—
869C2×D61—22no—
870C2×D61—22no—
871C2×D61—22no—
872C2×D61—22no—
873C2×D61—416no—
874C2×D61—416no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61C2×#12114yes—
891C4×C61—22no—
892C4×C61—22no—
893C4×C61—22no—
894C4×C61—22no—
895C4×C61—41no—
896C4×C61—41no—
897C4×C61—41no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61C2×#12114yes—
903Dic61—22no—
904Dic61—22no—
905Dic61—22no—
906Dic61—22no—
907Dic61—41no—
908Dic61—41no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914Dic61C2×#12114yes—
915C2×#525—611no—
916C2×#525—611no—
917C22×C4×D4—611no—
918C22×#117—611no—
919#2417—611no—
920#2417—611no—
921#2416—611no—
922#2416—611no—
923#2415—611no—
924#2415—611no—
925#2414—611no—
926#2414—611no—
927#2413—611no—
928#2413—611no—
929#2412—611no—
930#2412—611no—
931#2411—611no—
932#2411—611no—
933#2410—611no—
934#2410—611no—
935#2392—611no—
936#2392—611no—
937#2392—611no—
938#2392—611no—
939C4×#121—611no—
940C4×#121—611no—
941C4×#121—611no—
942C4×#121D6111yescharacteristic, complemented
943#2297—611no—
944#2296—611no—
945#2280—611no—
946C2×C61—24no—
947C2×C61—42no—
948C2×C61—81no—
949C2×C61C22×#12111yescharacteristic
950C2×C61C2×#52511yescharacteristic
951C2×C61#344911yescharacteristic
952C2×C61D4×#4111yescharacteristic
953C2×C61D4×#4111yescharacteristic
954C2×C61#347511yescharacteristic
955C2×C61#347511yescharacteristic
956D61—24no—
957D61—42no—
958D61—42no—
959D61—81no—
960C22×#41—611no—
961C23×D4—611no—
962C24×C4—611no—
963C24×C4—611no—
964#525—1228no—
965#525—1228no—
966C2×#123—611no—
967C2×#123—611no—
968C2×#123—611no—
969C2×#123—611no—
970C2×C22⋊Q8—611no—
971C2×C22⋊Q8—611no—
972C2×C22⋊Q8—611no—
973C2×C22⋊Q8—611no—
974C2×#121—611no—
975C2×#121—611no—
976C2×#121—611no—
977C2×#121—611no—
978C2×#121—611no—
979C2×#121—611no—
980C2×#121—611no—
981C2×#121C2×D6111yescharacteristic
982C2×#120—611no—
983C2×#120—611no—
984C2×#120—611no—
985C2×#120—611no—
986C2×C4×D4—611no—
987C2×C4×D4—611no—
988C2×C4×D4—611no—
989C2×C4×D4—611no—
990C2×C4×D4—611no—
991C2×C4×D4—611no—
992C2×C4×D4—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—
999C2×C4×D4—1228no—
1000C2×C4×D4C2×D6111yescharacteristic
1001C2×C4×D4C2×D6111yescharacteristic, complemented
1002C2×C4×D4C2×D6111yescharacteristic, complemented
1003C2×#117—611no—
1004C2×#117—611no—
1005C2×#117—611no—
1006C2×#117—611no—
1007C2×#117—611no—
1008C2×#117—611no—
1009C2×#117—611no—
1010C2×#117—611no—
1011C2×#117—611no—
1012C2×#117—1228no—
1013C22×C4⋊C4—611no—
1014C22×C4⋊C4—611no—
1015C22×C4⋊C4—611no—
1016C22×C22⋊C4—611no—
1017C22×C22⋊C4—611no—
1018C22×C22⋊C4—611no—
1019C22×C22⋊C4—611no—
1020C22×C42—611no—
1021C22×C42—611no—
1022C22×C42C2×D6111yescharacteristic, complemented
1023#398—611no—
1024#398—611no—
1025#398—611no—
1026#398—611no—
1027#397—611no—
1028#397—611no—
1029#397—611no—
1030#397—611no—
1031#396—611no—
1032#396—611no—
1033#396—611no—
1034#396—611no—
1035#396—611no—
1036#396—611no—
1037#396—611no—
1038#396—611no—
1039#394—611no—
1040#394—611no—
1041#394—611no—
1042#394—611no—
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#392—611no—
1052#392—611no—
1053#392—611no—
1054#392—611no—
1055#391—611no—
1056#391—611no—
1057#390—611no—
1058#390—611no—
1059#390—611no—
1060#390—611no—
1061#390—611no—
1062#390C2×D6111yescharacteristic, complemented
1063#389—611no—
1064#389—611no—
1065#389—611no—
1066#389—611no—
1067#389—611no—
1068#389—611no—
1069#389—611no—
1070#389C2×D6111yescharacteristic, complemented
1071#388—611no—
1072#388—611no—
1073#388—611no—
1074#388—611no—
1075#388—611no—
1076#388—611no—
1077#388C2×D6111yescharacteristic, complemented
1078#388C2×D6111yescharacteristic, complemented
1079#386—611no—
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#386—611no—
1089#386C2×D6111yescharacteristic
1090#386C2×D6111yescharacteristic, complemented
1091#385—611no—
1092#385—611no—
1093#385—611no—
1094#385—611no—
1095#381—611no—
1096#381—611no—
1097#380—611no—
1098#380—611no—
1099#380—611no—
1100#380—611no—
1101#380—611no—
1102#380—611no—
1103#380—611no—
1104#380C2×D6111yescharacteristic, complemented
1105#379—611no—
1106#379—611no—
1107C4×C4⋊C4—611no—
1108C4×C4⋊C4—611no—
1109C4×C4⋊C4—611no—
1110C4×C4⋊C4C2×D6111yescharacteristic, complemented
1111C4×C22⋊C4—611no—
1112C4×C22⋊C4—611no—
1113C4×C22⋊C4—611no—
1114C4×C22⋊C4—611no—
1115C4×C22⋊C4—611no—
1116C4×C22⋊C4—611no—
1117C4×C22⋊C4C2×D6111yescharacteristic, complemented
1118C4×C22⋊C4C2×D6111yescharacteristic, complemented
1119C61#3473711yescharacteristic, complemented, Sylow
1120C25—611no—
1121C25—611no—
1122C2×#41—1224no—
1123C2×#41—1224no—
1124C2×#41—1224no—
1125C22×Q8—611no—
1126C22×D4—611no—
1127C22×D4—611no—
1128C22×D4—611no—
1129C22×D4—611no—
1130C22×D4—611no—
1131C22×D4—611no—
1132C22×D4—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—611no—
1137C22×D4—611no—
1138C22×D4—1224no—
1139C22×D4—1224no—
1140C22×D4—1224no—
1141C22×D4C22×D6111yescharacteristic
1142C22×D4C22×D6111yescharacteristic
1143C22×D4C22×D6111yescharacteristic
1144C23×C4—611no—
1145C23×C4—611no—
1146C23×C4—618no—
1147C23×C4—611no—
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—611no—
1151C23×C4—611no—
1152C23×C4—611no—
1153C23×C4—611no—
1154C23×C4—611no—
1155C23×C4—611no—
1156C23×C4—611no—
1157C23×C4—611no—
1158C23×C4—611no—
1159C23×C4—1224no—
1160C23×C4—1224no—
1161C23×C4—1224no—
1162C23×C4—1224no—
1163C23×C4—1224no—
1164C23×C4C22×D6111yescharacteristic
1165C23×C4C22×D6111yescharacteristic
1166C23×C4C22×D6111yescharacteristic
1167C23×C4C22×D6111yescharacteristic
1168C23×C4C22×D6111yescharacteristic
1169#123—1224no—
1170#123—1224no—
1171#123—1224no—
1172#123—1224no—
1173C22⋊Q8—1224no—
1174C22⋊Q8—1224no—
1175C22⋊Q8—1224no—
1176C22⋊Q8—1224no—
1177#121—24no—
1178#121—1224no—
1179#121—1224no—
1180#121—1224no—
1181#121—1224no—
1182#121—1224no—
1183#121—1224no—
1184#121—1224no—
1185#120—1224no—
1186#120—1224no—
1187#120—1224no—
1188#120—1224no—
1189C4×D4—24no—
1190C4×D4—24no—
1191C4×D4—24no—
1192C4×D4—1224no—
1193C4×D4—1224no—
1194C4×D4—1224no—
1195C4×D4—1224no—
1196C4×D4—1224no—
1197C4×D4—1224no—
1198C4×D4—1224no—
1199C4×D4—1224no—
1200C4×D4—1224no—
1201C4×D4—1224no—
1202C4×D4—1224no—
1203C4×D4—1224no—
1204C4×D4—1224no—
1205#117—618no—
1206#117—1224no—
1207#117—1224no—
1208#117—1224no—
1209#117—1224no—
1210#117—1224no—
1211#117—1224no—
1212#117—1224no—
1213#117—1224no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—611no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—611no—
1233C2×C4⋊C4—611no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—1224no—
1240C2×C4⋊C4—1224no—
1241C2×C4⋊C4—1224no—
1242C2×C4⋊C4C22×D6111yescharacteristic
1243C2×C4⋊C4C22×D6111yescharacteristic
1244C2×C4⋊C4C22×D6111yescharacteristic
1245C2×C4⋊C4C22×D6111yescharacteristic
1246C2×C4⋊C4C22×D6111yescharacteristic
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—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—1224no—
1288C2×C22⋊C4—1224no—
1289C2×C22⋊C4—1224no—
1290C2×C22⋊C4—1224no—
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C22⋊C4C22×D6111yescharacteristic
1294C2×C22⋊C4C22×D6111yescharacteristic
1295C2×C22⋊C4C22×D6111yescharacteristic
1296C2×C22⋊C4C22×D6111yescharacteristic
1297C2×C22⋊C4C22×D6111yescharacteristic
1298C2×C22⋊C4C22×D6111yescharacteristic
1299C2×C22⋊C4C22×D6111yescharacteristic
1300C2×C22⋊C4C22×D6111yescharacteristic
1301C2×C42—24no—
1302C2×C42—611no—
1303C2×C42—611no—
1304C2×C42—611no—
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—611no—
1308C2×C42—611no—
1309C2×C42—611no—
1310C2×C42—1224no—
1311C2×C42—1224no—
1312C2×C42C22×D6111yescharacteristic
1313C2×C42C22×D6111yescharacteristic
1314C2×C42C22×D6111yescharacteristic
1315C2×C42C22×D6111yescharacteristic
1316C2×C42C22×D6111yescharacteristic
1317C2×C42C22×D6111yescharacteristic
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
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#95C22×D6111yescharacteristic
1337#95C22×D6111yescharacteristic
1338#95C22×D6111yescharacteristic
1339#95C22×D6111yescharacteristic
1340#95C22×D6111yescharacteristic
1341#95C22×D6111yescharacteristic
1342C24—611no—
1343C24—611no—
1344C24—611no—
1345C24—614no—
1346C24—611no—
1347C24—1222no—
1348C24—1222no—
1349C24—1222no—
1350C24—1222no—
1351C24—1222no—
1352C24—1222no—
1353C24—1222no—
1354C24—1222no—
1355C24—1222no—
1356C24—2441no—
1357C24—2441no—
1358C24—2441no—
1359C24—2441no—
1360C24C23×D6111yescharacteristic
1361C24C23×D6111yescharacteristic
1362C24C23×D6111yescharacteristic
1363#41—24416no—
1364C2×Q8—1222no—
1365C2×Q8—1222no—
1366C2×Q8—1222no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—41no—
1375C2×D4—614no—
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—12232no—
1390C2×D4—1222no—
1391C2×D4—1222no—
1392C2×D4—1222no—
1393C2×D4—1222no—
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—2441no—
1406C2×D4—2441no—
1407C2×D4—2441no—
1408C2×D4—2441no—
1409C2×D4—2441no—
1410C2×D4—2441no—
1411C2×D4—2441no—
1412C2×D4#1175822214yescomplemented
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—611no—
1428C22×C4—614no—
1429C22×C4—614no—
1430C22×C4—614no—
1431C22×C4—614no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—614no—
1437C22×C4—614no—
1438C22×C4—614no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—611no—
1446C22×C4—1222no—
1447C22×C4—1222no—
1448C22×C4—12232no—
1449C22×C4—1222no—
1450C22×C4—1222no—
1451C22×C4—1222no—
1452C22×C4—1222no—
1453C22×C4—1222no—
1454C22×C4—1222no—
1455C22×C4—1222no—
1456C22×C4—1222no—
1457C22×C4—1222no—
1458C22×C4—1222no—
1459C22×C4—1222no—
1460C22×C4—1222no—
1461C22×C4—1222no—
1462C22×C4—1222no—
1463C22×C4—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—1222no—
1467C22×C4—1222no—
1468C22×C4—1222no—
1469C22×C4—1222no—
1470C22×C4—1222no—
1471C22×C4—1222no—
1472C22×C4—1222no—
1473C22×C4—1222no—
1474C22×C4—1222no—
1475C22×C4—1222no—
1476C22×C4—1222no—
1477C22×C4—1222no—
1478C22×C4—2441no—
1479C22×C4—2441no—
1480C22×C4—24416no—
1481C22×C4—2441no—
1482C22×C4—2441no—
1483C22×C4D4×D6114yes—
1484C22×C4C23×D6111yescharacteristic
1485C22×C4C23×D6111yescharacteristic
1486C22×C4C23×D6111yescharacteristic
1487C22×C4C23×D6111yescharacteristic
1488C22×C4C23×D6111yescharacteristic
1489C22×C4C23×D6111yescharacteristic
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492C22×C4C23×D6111yescharacteristic
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495C22×C4C23×D6111yescharacteristic
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—614no—
1502C4⋊C4—614no—
1503C4⋊C4—1222no—
1504C4⋊C4—1222no—
1505C4⋊C4—1222no—
1506C4⋊C4—1222no—
1507C4⋊C4—1222no—
1508C4⋊C4—1222no—
1509C4⋊C4—1222no—
1510C4⋊C4—1222no—
1511C4⋊C4—1222no—
1512C4⋊C4—1222no—
1513C4⋊C4—1222no—
1514C4⋊C4—1222no—
1515C4⋊C4—1222no—
1516C4⋊C4—1222no—
1517C4⋊C4—1222no—
1518C4⋊C4—1222no—
1519C4⋊C4—1222no—
1520C4⋊C4—1222no—
1521C4⋊C4—1222no—
1522C4⋊C4—1222no—
1523C4⋊C4—2441no—
1524C4⋊C4—2441no—
1525C4⋊C4—2441no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—614no—
1537C22⋊C4—614no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—1222no—
1545C22⋊C4—1222no—
1546C22⋊C4—1222no—
1547C22⋊C4—1222no—
1548C22⋊C4—1222no—
1549C22⋊C4—1222no—
1550C22⋊C4—1222no—
1551C22⋊C4—1222no—
1552C22⋊C4—1222no—
1553C22⋊C4—1222no—
1554C22⋊C4—1222no—
1555C22⋊C4—1222no—
1556C22⋊C4—1222no—
1557C22⋊C4—1222no—
1558C22⋊C4—1222no—
1559C22⋊C4—1222no—
1560C22⋊C4—1222no—
1561C22⋊C4—1222no—
1562C22⋊C4—1222no—
1563C22⋊C4—1222no—
1564C22⋊C4—1222no—
1565C22⋊C4—1222no—
1566C22⋊C4—1222no—
1567C22⋊C4—1222no—
1568C22⋊C4—1222no—
1569C22⋊C4—1222no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4—2441no—
1575C22⋊C4—2441no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—614no—
1582C42—1222no—
1583C42—1222no—
1584C42—1222no—
1585C42—1222no—
1586C42—1222no—
1587C42—1222no—
1588C42—1222no—
1589C42D4×D6114yescomplemented
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—612no—
1608C23—612no—
1609C23—612no—
1610C23—612no—
1611C23—612no—
1612C23—1228no—
1613C23—1228no—
1614C23—1221no—
1615C23—1221no—
1616C23—1221no—
1617C23—1221no—
1618C23—1228no—
1619C23—1221no—
1620C23—1221no—
1621C23—1221no—
1622C23—1221no—
1623C23—1221no—
1624C23—1221no—
1625C23—1221no—
1626C23—1221no—
1627C23—1221no—
1628C23—1221no—
1629C23—1221no—
1630C23—1221no—
1631C23—1221no—
1632C23—1221no—
1633C23—1221no—
1634C23—1221no—
1635C23—1221no—
1636C23—1221no—
1637C23—1221no—
1638C23—2444no—
1639C23—2444no—
1640C23—2444no—
1641C23—2444no—
1642C23—2444no—
1643C23—2444no—
1644C23—2444no—
1645C23—2444no—
1646C23—2444no—
1647C23—2444no—
1648C23—2444no—
1649C23C2×D4×D6112yes—
1650C23#41×D6112yes—
1651C23C2×#1175822212yes—
1652C23C2×#1175822212yes—
1653C23C24×D6111yescharacteristic
1654Q8—2444no—
1655D4—28no—
1656D4—44no—
1657D4—44no—
1658D4—1228no—
1659D4—1228no—
1660D4—1228no—
1661D4—2444no—
1662D4—2444no—
1663D4—2444no—
1664D4—2444no—
1665D4—2444no—
1666D4—2444no—
1667D4—2444no—
1668D4—2444no—
1669D4—2444no—
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—28no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—612no—
1705C2×C4—612no—
1706C2×C4—612no—
1707C2×C4—6116no—
1708C2×C4—612no—
1709C2×C4—612no—
1710C2×C4—612no—
1711C2×C4—612no—
1712C2×C4—1228no—
1713C2×C4—1228no—
1714C2×C4—1228no—
1715C2×C4—1228no—
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—1228no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—1221no—
1746C2×C4—2444no—
1747C2×C4—2444no—
1748C2×C4—2444no—
1749C2×C4—2444no—
1750C2×C4—2444no—
1751C2×C4—2444no—
1752C2×C4—2444no—
1753C2×C4—2444no—
1754C2×C4C2×D4×D6112yes—
1755C2×C4C2×D4×D6112yes—
1756C2×C4C2×D4×D6112yes—
1757C2×C4C2×D4×D6112yes—
1758C2×C4C2×D4×D6112yes—
1759C2×C4#41×D6112yes—
1760C2×C4C2×#1175822212yes—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—614no—
1782C22—1222no—
1783C22—1222no—
1784C22—1222no—
1785C22—1222no—
1786C22—1222no—
1787C22—1222no—
1788C22—1222no—
1789C22—1222no—
1790C22—1222no—
1791C22—1222no—
1792C22—1222no—
1793C22—1222no—
1794C22—24416no—
1795C22—24416no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22—2441no—
1803C22—2441no—
1804C22—2441no—
1805C22—2441no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22—2441no—
1810C22—2441no—
1811C22#1684027114yescomplemented
1812C22C22×D4×D6111yescharacteristic
1813C22C22×D4×D6111yescharacteristic
1814C22C2×#41×D6111yescharacteristic
1815C22C2×#41×D6111yescharacteristic
1816C22C22×#1175822211yescharacteristic
1817C22#1684059811yescharacteristic
1818C22#1684059811yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—614no—
1831C4—1222no—
1832C4—1222no—
1833C4—1222no—
1834C4—1222no—
1835C4—2441no—
1836C4—2441no—
1837C4—2441no—
1838C4—2441no—
1839C4—2441no—
1840C4—2441no—
1841C4—2441no—
1842C4#121×D6114yes—
1843C2—24no—
1844C2—42no—
1845C2—81no—
1846C2—1224no—
1847C2—4881no—
1848C2—2442no—
1849C2—2442no—
1850C2C2×#121×D6111yescharacteristic
1851C2C2×#1684027111yescharacteristic
1852C2#2145914611yescharacteristic
1853C2#2145930211yescharacteristic
1854C2D4×#1175822211yescharacteristic
1855C2#2145937111yescharacteristic
1856C2#2145938111yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC4×#121×C61C2
hypercenterC4×#121D61
hypocenterC61#34737
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#16840271C2semidirect
2. C2×#16840271C2semidirect
3. C2×C4×D4×D61C2semidirect
4. C22×#14519734C2semidirect
5. #21449269C2semidirect
6. #21449267C2semidirect
7. #21449258C2semidirect
8. #21449256C2semidirect
9. #21449247C2semidirect
10. #21449245C2semidirect
11. #21449236C2semidirect
12. #21449234C2semidirect
13. #21449225C2semidirect
14. #21449223C2semidirect
15. #21449214C2semidirect
16. #21449212C2semidirect
17. #21449203C2semidirect
18. #21449201C2semidirect
19. #21449192C2semidirect
20. #21449190C2semidirect
21. #21449063C2semidirect
22. #21449063C2semidirect
23. #21449059C2semidirect
24. #21449057C2semidirect
25. C4×#14519751C2semidirect
26. C4×#14519749C2semidirect
27. C4×#14519749C2semidirect
28. #21448305C2semidirect
29. #21448299C2semidirect
30. #21448200C2semidirect
31. C4×#121×C61C2semidirect
42. C2×#14519755C22semidirect
43. C2×#14519755C22semidirect
44. C2×#14519754C22semidirect
45. C2×#14519754C22semidirect
47. C2×#14519750C22semidirect
48. C2×#14519750C22semidirect
51. C2×#14519749C22semidirect
52. C2×#14519749C22semidirect
58. C2×C4×D244C22semidirect
59. C2×C4×D244C22semidirect
64. C2×C4×C22⋊D61C22semidirect
65. C2×C4×C22⋊D61C22semidirect
66. C2×C4×C22⋊D61C22semidirect
67. C2×C4×C22⋊D61C22semidirect
77. C2×#14519734C22semidirect
78. C2×#14519734C22semidirect
79. C2×#14519734C22semidirect
80. C2×#14519734C22semidirect
81. C22×#11758196C22semidirect
82. C22×#11758196C22semidirect
88. C22×C4×Dic61C22semidirect
90. #16839696C22semidirect
91. #16839696C22semidirect
92. #16839694C22semidirect
93. #16839693C22semidirect
94. #16839691C22semidirect
95. #16839691C22semidirect
96. #16839689C22semidirect
97. #16839688C22semidirect
98. #16839686C22semidirect
99. #16839686C22semidirect
100. #16839685C22semidirect
101. #16839685C22semidirect
102. #16839685C22semidirect
103. #16839685C22semidirect
104. #16839684C22semidirect
105. #16839684C22semidirect
107. #16839680C22semidirect
108. #16839680C22semidirect
110. #16839679C22semidirect
112. #16839678C22semidirect
114. #16839677C22semidirect
115. #16839677C22semidirect
116. #16839677C22semidirect
117. #16839676C22semidirect
122. #16839666C22semidirect
123. #16839666C22semidirect
124. #16839664C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839660C22semidirect
130. #16839659C22semidirect
131. #16839659C22semidirect
132. #16839657C22semidirect
133. #16839657C22semidirect
134. #16839657C22semidirect
135. #16839657C22semidirect
136. #16839656C22semidirect
137. #16839656C22semidirect
138. #16839653C22semidirect
139. #16839653C22semidirect
140. #16839652C22semidirect
141. #16839652C22semidirect
143. #16839642C22semidirect
145. #16839641C22semidirect
149. #16839639C22semidirect
158. #16839622C22semidirect
159. #16839621C22semidirect
160. #16839621C22semidirect
161. #16839620C22semidirect
162. #16839620C22semidirect
163. #16839620C22semidirect
164. #16839620C22semidirect
167. C4×#11758196C22semidirect
168. C4×#11758196C22semidirect
169. C4×C4⋊Dic61C22semidirect
170. C4×#11758198C22semidirect
171. C4×#11758198C22semidirect
172. C4×#11758198C22semidirect
173. C4×#11758198C22semidirect
174. C4×C22⋊Dic61C22semidirect
175. C4×C22⋊Dic61C22semidirect
178. C2×C4×D4×C61C22semidirect
179. C2×C4×D4×C61C22semidirect
180. C22×C42×C61C22semidirect
181. C61×#390C22semidirect
182. C61×#389C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
186. C61×#386C22semidirect
187. C61×#380C22semidirect
188. C4×C4⋊C4×C61C22semidirect
189. C4×C22⋊C4×C61C22semidirect
190. C4×C22⋊C4×C61C22semidirect
221. C22×C4×D61D4semidirect
272. #14519734D4semidirect
442. C2×D4×C61#41semidirect
493. C2×C22⋊D61#41semidirect
587. C42×C61C2×D4semidirect
651. #11758196C2×D4semidirect
652. #11758196C2×D4semidirect
660. C4×Dic61C2×D4semidirect
830. C4×D61#121semidirect
853. C22×C61#525semidirect
942. C4×#121D61semidirect
1001. C2×C4×D4C2×D61semidirect
1002. C2×C4×D4C2×D61semidirect
1022. C22×C42C2×D61semidirect
1062. #390C2×D61semidirect
1070. #389C2×D61semidirect
1077. #388C2×D61semidirect
1078. #388C2×D61semidirect
1090. #386C2×D61semidirect
1104. #380C2×D61semidirect
1110. C4×C4⋊C4C2×D61semidirect
1117. C4×C22⋊C4C2×D61semidirect
1118. C4×C22⋊C4C2×D61semidirect
1119. C61#34737semidirect
1412. C2×D4#11758222semidirect
1589. C42D4×D61semidirect
1811. C22#16840271semidirect

Maximal subgroups

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

subgroupindex
C2×#168402712
C2×C4×D4×D612
C22×#145197342
#214492692
#214492672
#214492582
#214492562
#214492472
#214492452
#214492362
#214492342
#214492252
#214492232
#214492142
#214492122
#214492032
#214492012
#214491922
#214491902
#214490632
#214490592
#214490572
C4×#145197512
C4×#145197492
#214483052
#214482992
#214482002
C4×#121×C612
#3473761