Finite Group Databasebeta

← C2×#23777998 #35195644

Subgroups — C2×#23777998 #35195644

Order 20224.

6458 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777998C2132yesmaximal, direct product factor
2C2×C79⋊#564C211yesmaximal, characteristic, complemented
3C2×C79⋊#564C211yesmaximal, characteristic, complemented
4C2×#19099315C211yesmaximal, characteristic, complemented
5C2×#19099314C211yesmaximal, characteristic, complemented
6C2×#19099291C211yesmaximal, characteristic, complemented
7C2×#19099290C211yesmaximal, characteristic, complemented
8C2×#19099269C211yesmaximal, characteristic, complemented
9C2×#19099267C211yesmaximal, characteristic, complemented
10C2×#19099254C211yesmaximal, characteristic, complemented
11C2×#19099252C211yesmaximal, characteristic, complemented
12C2×#19099249C211yesmaximal, characteristic, complemented
13C2×#19099249C211yesmaximal, characteristic, complemented
14C2×#19099249C211yesmaximal, characteristic, complemented
15C2×#19099246C211yesmaximal, characteristic, complemented
16C2×#19099245C211yesmaximal, characteristic, complemented
17C2×#19099245C211yesmaximal, characteristic, complemented
18C2×#19099193C211yesmaximal, characteristic, complemented
19C2×#19099192C211yesmaximal, characteristic, complemented
20C2×#19099190C211yesmaximal, characteristic, complemented
21C2×#19099190C211yesmaximal, characteristic, complemented
22C2×#19099172C211yesmaximal, characteristic, complemented
23C2×#19099172C211yesmaximal, characteristic, complemented
24C2×#19099171C211yesmaximal, characteristic, complemented
25C2×#19099170C211yesmaximal, characteristic, complemented
26C2×#19099170C211yesmaximal, characteristic, complemented
27C2×#19099159C211yesmaximal, characteristic
28C2×#19099154C211yesmaximal, characteristic
29C2×#19099117C211yesmaximal, characteristic, complemented
30C2×#19099096C211yesmaximal, characteristic
31C2×#125×D79C211yesmaximal, characteristic, complemented
32C2×#541×C79C211yesmaximal, characteristic, complemented
33C79⋊#564C22116yescomplemented
34C79⋊#564C22116yescomplemented
35#19099315C22116yescomplemented
36#19099314C22116yescomplemented
37#19099291C22116yescomplemented
38#19099290C22116yescomplemented
39#19099269C22116yescomplemented
40#19099267C22116yescomplemented
41#19099254C22116yescomplemented
42#19099252C22116yescomplemented
43#19099249C22116yescomplemented
44#19099249C22116yescomplemented
45#19099249C22116yescomplemented
46#19099246C22116yescomplemented
47#19099245C22116yescomplemented
48#19099245C22116yescomplemented
49#19099193C22116yescomplemented
50#19099192C22116yescomplemented
51#19099190C22116yescomplemented
52#19099190C22116yescomplemented
53#19099172C22116yescomplemented
54#19099172C22116yescomplemented
55#19099171C22116yescomplemented
56#19099170C22116yescomplemented
57#19099170C22116yescomplemented
58#19099159C22116yes—
59#19099154C22116yes—
60#19099117C22116yescomplemented
61C2×#14579161C2211yescharacteristic
62C2×#14579160C2211yescharacteristic
63C2×#14579160C2211yescharacteristic
64C2×#14579160C2211yescharacteristic
65C2×#14579160C2211yescharacteristic
66C2×#14579160C2211yescharacteristic
67C2×#14579160C2211yescharacteristic
68C2×#14579159C2211yescharacteristic
69C2×#14579159C2211yescharacteristic
70C2×#14579159C2211yescharacteristic
71C2×#14579159C2211yescharacteristic
72#19099096C22116yes—
73C2×#14579156C2211yescharacteristic
74C2×#14579156C2211yescharacteristic
75C2×#14579156C2211yescharacteristic
76C2×#14579156C2211yescharacteristic
77C2×#14579156C2211yescharacteristic
78C2×#14579156C2211yescharacteristic
79C2×#14579155C2211yescharacteristic
80C2×#14579155C2211yescharacteristic
81C2×#14579155C2211yescharacteristic
82C2×#14579154C2211yescharacteristic
83C2×#14579154C2211yescharacteristic
84C2×#14579154C2211yescharacteristic
85C2×#14579154C2211yescharacteristic
86C2×#14579154C2211yescharacteristic
87C2×#14579153C2211yescharacteristic
88C2×#14579153C2211yescharacteristic
89C2×#14579153C2211yescharacteristic
90C2×#14579153C2211yescharacteristic
91C2×#14579153C2211yescharacteristic
92C2×#14579153C2211yescharacteristic
93C2×#14579152C2211yescharacteristic
94C2×#14579152C2211yescharacteristic
95C2×#14579152C2211yescharacteristic
96C2×#14579152C2211yescharacteristic
97C2×#14579152C2211yescharacteristic
98C2×#14579152C2211yescharacteristic
99C2×#14579152C2211yescharacteristic
100C2×#14579152C2211yescharacteristic
101C2×#14579152C2211yescharacteristic
102C2×#14579151C2211yescharacteristic
103C2×#14579151C2211yescharacteristic
104C2×#14579151C2211yescharacteristic
105C2×#14579151C2211yescharacteristic
106C2×#14579151C2211yescharacteristic
107C2×#14579151C2211yescharacteristic
108C2×#14579151C2211yescharacteristic
109C2×#14579151C2211yescharacteristic
110C2×#14579151C2211yescharacteristic
111C2×#14579151C2211yescharacteristic
112C2×#14579151C2211yescharacteristic
113C2×#14579151C2211yescharacteristic
114C2×#14579151C2211yescharacteristic
115C2×#14579151C2211yescharacteristic
116C2×#14579151C2211yescharacteristic
117C2×#14579151C2211yescharacteristic
118C2×#14579151C2211yescharacteristic
119C2×#14579151C2211yescharacteristic
120C2×#14579151C2211yescharacteristic
121C2×#14579151C2211yescharacteristic
122C2×#14579151C2211yescharacteristic
123C2×#14579151C2211yescharacteristic
124C2×#14579151C2211yescharacteristic
125C2×#14579151C2211yescharacteristic
126C2×#14579151C2211yescharacteristic
127#125×D79C22116yescomplemented
128C2×#14579147C2211yescharacteristic
129C2×#14579146C2211yescharacteristic
130C2×#14579146C2211yescharacteristic
131C2×#14579146C2211yescharacteristic
132C2×#14579145C2211yescharacteristic
133C2×#14579144C2211yescharacteristic
134C2×#14579143C2211yescharacteristic
135C2×#14579143C2211yescharacteristic
136C2×#14579143C2211yescharacteristic
137C2×#14579143C2211yescharacteristic
138C2×#14579143C2211yescharacteristic
139C2×#14579141C2211yescharacteristic
140C2×#14579141C2211yescharacteristic
141C2×#14579141C2211yescharacteristic
142C2×#14579140C2211yescharacteristic
143C2×#14579139C2211yescharacteristic
144C2×#14579139C2211yescharacteristic
145C2×#14579139C2211yescharacteristic
146C2×#14579139C2211yescharacteristic
147C2×#14579139C2211yescharacteristic
148C2×#14579139C2211yescharacteristic
149C2×#14579139C2211yescharacteristic
150C2×#14579139C2211yescharacteristic
151C2×#14579139C2211yescharacteristic
152C2×#14579139C2211yescharacteristic
153C2×#14579138C2211yescharacteristic
154C2×#14579138C2211yescharacteristic
155C2×#14579138C2211yescharacteristic
156C2×#14579138C2211yescharacteristic
157C2×#14579138C2211yescharacteristic
158C2×#14579137C2211yescharacteristic
159C2×#14579137C2211yescharacteristic
160C2×#14579137C2211yescharacteristic
161C2×#14579137C2211yescharacteristic
162C2×#14579134C2211yescharacteristic
163C2×C4×Dic158C2211yescharacteristic
164C2×C4×Dic158C2211yescharacteristic
165C2×C4×Dic158C2211yescharacteristic
166C2×C4×Dic158C2211yescharacteristic
167C2×C4×Dic158C2211yescharacteristic
168C2×C4×Dic158C2211yescharacteristic
169C2×#14579126C2211yescharacteristic
170C2×#14579126C2211yescharacteristic
171C2×#14579126C2211yescharacteristic
172C2×#14579126C2211yescharacteristic
173C2×#14579126C2211yescharacteristic
174C2×C4×D316C2211yescharacteristic
175C2×#14579123C2211yescharacteristic
176C2×#14579123C2211yescharacteristic
177C2×C4×C22⋊D79C2211yescharacteristic
178C2×(C22⋊D79)⋊C4C2211yescharacteristic
179C2×(C22⋊D79)⋊C4C2211yescharacteristic
180C2×(C22⋊D79)⋊C4C2211yescharacteristic
181C2×#14579119C2211yescharacteristic
182C2×#14579119C2211yescharacteristic
183C2×#14579119C2211yescharacteristic
184C2×#14579119C2211yescharacteristic
185C2×#14579118C2211yescharacteristic
186C2×#14579118C2211yescharacteristic
187C2×#14579118C2211yescharacteristic
188C2×#14579118C2211yescharacteristic
189C2×#14579118C2211yescharacteristic
190C2×#14579118C2211yescharacteristic
191C2×#14579117C2211yescharacteristic
192C2×#14579117C2211yescharacteristic
193C2×#14579117C2211yescharacteristic
194C22×Dic79⋊C4C2211yescharacteristic
195C2×C4⋊C4×D79C2211yescharacteristic
196C2×C4⋊C4×D79C2211yescharacteristic
197C2×C4⋊C4×D79C2211yescharacteristic
198C2×C4⋊C4×D79C2211yescharacteristic
199C2×C4⋊C4×D79C2211yescharacteristic
200C2×C4⋊C4×D79C2211yescharacteristic
201C2×C4⋊C4×D79C2211yescharacteristic
202C2×C42×D79C2211yescharacteristic
203#541×C79C22116yescomplemented
204C2×C4⋊Q8×C79C2211yescharacteristic
205C2×#126×C79C2211yescharacteristic
206C2×#126×C79C2211yescharacteristic
207C2×#126×C79C2211yescharacteristic
208C2×#126×C79C2211yescharacteristic
209C2×#125×C79C2211yescharacteristic
210C2×#125×C79C2211yescharacteristic
211C2×#125×C79C2211yescharacteristic
212C2×#125×C79C2211yescharacteristic
213C2×#125×C79C2211yescharacteristic
214C2×C22⋊Q8×C79C2211yescharacteristic
215C2×C22⋊Q8×C79C2211yescharacteristic
216C2×C4×Q8×C79C2211yescharacteristic
217C2×C4×Q8×C79C2211yescharacteristic
218C2×#117×C79C2211yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×Dic158C2311yescharacteristic
222C22×Dic158C2311yescharacteristic
223C22×Dic158C2311yescharacteristic
224C22×Dic158C2311yescharacteristic
225C22×Dic158C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C22×C22⋊D79C2311yescharacteristic
228C22×C22⋊D79C2311yescharacteristic
229C23×Dic79C2311yescharacteristic
230C23×Dic79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232C22×C4×D79C2311yescharacteristic
233C22×C4×D79C2311yescharacteristic
234C22×C4×D79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236C22×C4×D79C2311yescharacteristic
237C22×C4×D79C2311yescharacteristic
238C22×C4×D79C2311yescharacteristic
239C22×C4×D79C2311yescharacteristic
240C22×C4×D79C2311yescharacteristic
241#14579161C2318yes—
242#14579160C2318yes—
243#14579160C2318yes—
244#14579160C2318yes—
245#14579160C2318yes—
246#14579160C2318yes—
247#14579160C2318yes—
248#14579159C2318yes—
249#14579159C2318yes—
250#14579159C2318yes—
251#14579159C2318yes—
252#14579156C2318yes—
253#14579156C2318yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579155C2318yes—
259#14579155C2318yes—
260#14579155C2318yes—
261#14579154C2318yes—
262#14579154C2318yes—
263#14579154C2318yes—
264#14579154C2318yes—
265#14579154C2318yes—
266#14579153C2318yes—
267#14579153C2318yes—
268#14579153C2318yes—
269#14579153C2318yes—
270#14579153C2318yes—
271#14579153C2318yes—
272#14579152C2318yes—
273#14579152C2318yes—
274#14579152C2318yes—
275#14579152C2318yes—
276#14579152C2318yes—
277#14579152C2318yes—
278#14579152C2318yes—
279#14579152C2318yes—
280#14579152C2318yes—
281#14579151C2318yes—
282#14579151C2318yes—
283#14579151C2318yes—
284#14579151C2318yes—
285#14579151C2318yes—
286#14579151C2318yes—
287#14579151C2318yes—
288#14579151C2318yes—
289#14579151C2318yes—
290#14579151C2318yes—
291#14579151C2318yes—
292#14579151C2318yes—
293#14579151C2318yes—
294#14579151C2318yes—
295#14579151C2318yes—
296#14579151C2318yes—
297#14579151C2318yes—
298#14579151C2318yes—
299#14579151C2318yes—
300#14579151C2318yes—
301#14579151C2318yes—
302#14579151C2318yes—
303#14579151C2318yes—
304#14579151C2318yes—
305#14579151C2318yes—
306#14579147C2318yes—
307#14579146C2318yes—
308#14579146C2318yes—
309#14579146C2318yes—
310#14579145C2318yes—
311#14579144C2318yes—
312#14579143C2318yes—
313#14579143C2318yes—
314#14579143C2318yes—
315#14579143C2318yes—
316#14579143C2318yes—
317#14579141C2318yes—
318#14579141C2318yes—
319#14579141C2318yes—
320#14579140C2318yes—
321#14579139C2318yes—
322#14579139C2318yes—
323#14579139C2318yes—
324#14579139C2318yes—
325#14579139C2318yes—
326#14579139C2318yes—
327#14579139C2318yes—
328#14579139C2318yes—
329#14579139C2318yes—
330#14579139C2318yes—
331#14579138C2318yes—
332#14579138C2318yes—
333#14579138C2318yes—
334#14579138C2318yes—
335#14579138C2318yes—
336#14579137C2318yes—
337#14579137C2318yes—
338#14579137C2318yes—
339#14579137C2318yes—
340#14579134C2318yes—
341C4×Dic158C2318yes—
342C4×Dic158C2318yes—
343C4×Dic158C2318yes—
344C4×Dic158C2318yes—
345C4×Dic158C2318yes—
346C4×Dic158C2318yes—
347#14579126C2318yes—
348#14579126C2318yes—
349#14579126C2318yes—
350#14579126C2318yes—
351#14579126C2318yes—
352C4×D316C2318yes—
353#14579123C2318yes—
354#14579123C2318yes—
355C4×C22⋊D79C2318yes—
356(C22⋊D79)⋊C4C2318yes—
357(C22⋊D79)⋊C4C2318yes—
358(C22⋊D79)⋊C4C2318yes—
359#14579119C2318yes—
360#14579119C2318yes—
361#14579119C2318yes—
362#14579119C2318yes—
363#14579118C2318yes—
364#14579118C2318yes—
365#14579118C2318yes—
366#14579118C2318yes—
367#14579118C2318yes—
368#14579118C2318yes—
369#14579117C2318yes—
370#14579117C2318yes—
371#14579117C2318yes—
372C2×C4⋊Dic79C2311yescharacteristic
373C2×C4⋊Dic79C2311yescharacteristic
374C2×C4⋊Dic79C2311yescharacteristic
375C2×C4⋊Dic79C2311yescharacteristic
376C2×C4⋊Dic79C2311yescharacteristic
377C2×C4⋊Dic79C2311yescharacteristic
378C2×C4⋊Dic79C2311yescharacteristic
379C2×C4⋊Dic79C2311yescharacteristic
380C2×C4⋊Dic79C2311yescharacteristic
381C2×C4⋊Dic79C2311yescharacteristic
382C2×C4⋊Dic79C2311yescharacteristic
383C2×C4⋊Dic79C2311yescharacteristic
384C2×C4⋊Dic79C2311yescharacteristic
385C2×C4⋊Dic79C2311yescharacteristic
386C2×C4⋊Dic79C2311yescharacteristic
387C2×C4⋊Dic79C2311yescharacteristic
388C2×C4⋊Dic79C2311yescharacteristic
389C2×C4⋊Dic79C2311yescharacteristic
390C2×Dic79⋊C4C2318yes—
391C2×Dic79⋊C4C2311yescharacteristic
392C2×Dic79⋊C4C2311yescharacteristic
393C2×Dic79⋊C4C2311yescharacteristic
394C2×Dic79⋊C4C2311yescharacteristic
395C2×Dic79⋊C4C2311yescharacteristic
396C2×Dic79⋊C4C2311yescharacteristic
397C2×Dic79⋊C4C2311yescharacteristic
398C2×Dic79⋊C4C2311yescharacteristic
399C2×Dic79⋊C4C2311yescharacteristic
400C2×Dic79⋊C4C2311yescharacteristic
401C2×Dic79⋊C4C2311yescharacteristic
402C2×Dic79⋊C4C2311yescharacteristic
403C2×Dic79⋊C4C2311yescharacteristic
404C2×Dic79⋊C4C2311yescharacteristic
405C2×Dic79⋊C4C2311yescharacteristic
406C2×Dic79⋊C4C2311yescharacteristic
407C2×Dic79⋊C4C2311yescharacteristic
408C2×Dic79⋊C4C2311yescharacteristic
409C2×Dic79⋊C4C2311yescharacteristic
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2311yescharacteristic
412C2×Dic79⋊C4C2311yescharacteristic
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2311yescharacteristic
427C2×Dic79⋊C4C2311yescharacteristic
428C2×Dic79⋊C4C2311yescharacteristic
429C2×Dic79⋊C4C2311yescharacteristic
430C2×Dic79⋊C4C2311yescharacteristic
431C2×Dic79⋊C4C2311yescharacteristic
432C2×Dic79⋊C4C2311yescharacteristic
433C2×Dic79⋊C4C2311yescharacteristic
434C2×Dic79⋊C4C2311yescharacteristic
435C4⋊C4×D79C2318yes—
436C4⋊C4×D79C2318yes—
437C4⋊C4×D79C2318yes—
438C4⋊C4×D79C2318yes—
439C4⋊C4×D79C2318yes—
440C4⋊C4×D79C2318yes—
441C4⋊C4×D79C2318yes—
442C2×C22⋊Dic79C2311yescharacteristic
443C2×C22⋊Dic79C2311yescharacteristic
444C2×C22⋊Dic79C2311yescharacteristic
445C2×C22⋊Dic79C2311yescharacteristic
446C2×(C2×D79)⋊C4C2311yescharacteristic
447C2×(C2×D79)⋊C4C2311yescharacteristic
448C2×(C2×D79)⋊C4C2311yescharacteristic
449C2×(C2×D79)⋊C4C2311yescharacteristic
450C2×(C2×D79)⋊C4C2311yescharacteristic
451C2×(C2×D79)⋊C4C2311yescharacteristic
452C2×(C2×D79)⋊C4C2311yescharacteristic
453C2×(C2×D79)⋊C4C2311yescharacteristic
454C2×(C2×D79)⋊C4C2311yescharacteristic
455C2×(C2×D79)⋊C4C2311yescharacteristic
456C2×(C2×D79)⋊C4C2311yescharacteristic
457C2×(C2×D79)⋊C4C2311yescharacteristic
458C2×(C2×D79)⋊C4C2311yescharacteristic
459C2×(C2×D79)⋊C4C2311yescharacteristic
460C2×(C2×D79)⋊C4C2311yescharacteristic
461C2×(C2×D79)⋊C4C2311yescharacteristic
462C2×C4×Dic79C2311yescharacteristic
463C2×C4×Dic79C2311yescharacteristic
464C2×C4×Dic79C2311yescharacteristic
465C2×C4×Dic79C2311yescharacteristic
466C2×C4×Dic79C2311yescharacteristic
467C2×C4×Dic79C2311yescharacteristic
468C2×C4×Dic79C2311yescharacteristic
469C2×C4×Dic79C2311yescharacteristic
470C2×C4×Dic79C2311yescharacteristic
471C2×C4×Dic79C2311yescharacteristic
472C2×C4×Dic79C2311yescharacteristic
473C2×C4×Dic79C2311yescharacteristic
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C42×D79C2318yes—
479C22×Q8×C79C2311yescharacteristic
480C22×Q8×C79C2311yescharacteristic
481C23×C4×C79C2311yescharacteristic
482C4⋊Q8×C79C2318yes—
483#126×C79C2318yes—
484#126×C79C2318yes—
485#126×C79C2318yes—
486#126×C79C2318yes—
487#125×C79C2318yes—
488#125×C79C2318yes—
489#125×C79C2318yes—
490#125×C79C2318yes—
491#125×C79C2318yes—
492C22⋊Q8×C79C2318yes—
493C22⋊Q8×C79C2318yes—
494C4×Q8×C79C2318yes—
495C4×Q8×C79C2318yes—
496#117×C79C2318yes—
497C2×C4⋊C4×C79C2311yescharacteristic
498C2×C4⋊C4×C79C2311yescharacteristic
499C2×C4⋊C4×C79C2311yescharacteristic
500C2×C4⋊C4×C79C2311yescharacteristic
501C2×C4⋊C4×C79C2311yescharacteristic
502C2×C4⋊C4×C79C2311yescharacteristic
503C2×C4⋊C4×C79C2311yescharacteristic
504C2×C4⋊C4×C79C2311yescharacteristic
505C2×C4⋊C4×C79C2311yescharacteristic
506C2×C4⋊C4×C79C2311yescharacteristic
507C2×C4⋊C4×C79C2311yescharacteristic
508C2×C4⋊C4×C79C2311yescharacteristic
509C2×C4⋊C4×C79C2311yescharacteristic
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C4⋊C4×C79C2311yescharacteristic
513C2×C4⋊C4×C79C2311yescharacteristic
514C2×C4⋊C4×C79C2311yescharacteristic
515C2×C4⋊C4×C79C2311yescharacteristic
516C2×C4⋊C4×C79C2311yescharacteristic
517C2×C22⋊C4×C79C2311yescharacteristic
518C2×C22⋊C4×C79C2311yescharacteristic
519C2×C22⋊C4×C79C2311yescharacteristic
520C2×C22⋊C4×C79C2311yescharacteristic
521C2×C22⋊C4×C79C2311yescharacteristic
522C2×C22⋊C4×C79C2311yescharacteristic
523C2×C42×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C23×D79C2411yescharacteristic
530C23×D79C2411yescharacteristic
531C2×Dic158—24no—
532C2×Dic158—24no—
533C2×Dic158—42no—
534C2×Dic158—42no—
535C2×Dic158—42no—
536C2×Dic158—42no—
537C2×Dic158—42no—
538C2×Dic158C2414yes—
539C2×Dic158C2414yes—
540C2×Dic158C2414yes—
541C2×Dic158C2414yes—
542C2×Dic158C2414yes—
543C2×Dic158C2414yes—
544C2×Dic158C2414yes—
545C2×D316—24no—
546C2×D316C2414yes—
547C2×C22⋊D79—24no—
548C2×C22⋊D79—42no—
549C2×C22⋊D79C2414yes—
550C2×C22⋊D79C2414yes—
551C22×Dic79—24no—
552C22×Dic79—42no—
553C22×Dic79C2411yescharacteristic
554C22×Dic79C2411yescharacteristic
555C22×Dic79C2411yescharacteristic
556C22×Dic79C2411yescharacteristic
557C22×Dic79C2411yescharacteristic
558C22×Dic79C2411yescharacteristic
559C22×Dic79C2411yescharacteristic
560C22×Dic79C2411yescharacteristic
561C22×Dic79C2411yescharacteristic
562C22×Dic79C2411yescharacteristic
563C22×Dic79C2411yescharacteristic
564C22×Dic79C2411yescharacteristic
565C22×Dic79C2411yescharacteristic
566C22×Dic79C2414yes—
567C22×Dic79C2414yes—
568C22×Dic79C2411yescharacteristic
569C2×C4×D79—24no—
570C2×C4×D79—24no—
571C2×C4×D79—24no—
572C2×C4×D79—24no—
573C2×C4×D79—24no—
574C2×C4×D79—42no—
575C2×C4×D79—42no—
576C2×C4×D79—42no—
577C2×C4×D79—42no—
578C2×C4×D79—42no—
579C2×C4×D79C2414yes—
580C2×C4×D79C2414yes—
581C2×C4×D79C2414yes—
582C2×C4×D79C2414yes—
583C2×C4×D79C2414yes—
584C2×C4×D79C2414yes—
585C2×C4×D79C2414yes—
586C2×C4×D79C2414yes—
587C2×C4×D79C2414yes—
588C2×C4×D79C2414yes—
589C4⋊Dic79C2414yes—
590C4⋊Dic79C2414yes—
591C4⋊Dic79C2414yes—
592C4⋊Dic79C2414yes—
593C4⋊Dic79C2414yes—
594C4⋊Dic79C2414yes—
595C4⋊Dic79C2414yes—
596C4⋊Dic79C2414yes—
597C4⋊Dic79C2414yes—
598C4⋊Dic79C2414yes—
599C4⋊Dic79C2414yes—
600C4⋊Dic79C2414yes—
601C4⋊Dic79C2414yes—
602C4⋊Dic79C2414yes—
603C4⋊Dic79C2414yes—
604C4⋊Dic79C2414yes—
605C4⋊Dic79C2414yes—
606C4⋊Dic79C2414yes—
607Dic79⋊C4C2414yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611Dic79⋊C4C2414yes—
612Dic79⋊C4C2414yes—
613Dic79⋊C4C2414yes—
614Dic79⋊C4C2414yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2414yes—
619Dic79⋊C4C2414yes—
620Dic79⋊C4C2414yes—
621Dic79⋊C4C2414yes—
622Dic79⋊C4C2414yes—
623Dic79⋊C4C2414yes—
624Dic79⋊C4C2414yes—
625Dic79⋊C4C2414yes—
626Dic79⋊C4C2414yes—
627Dic79⋊C4C2414yes—
628Dic79⋊C4C2414yes—
629Dic79⋊C4C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2414yes—
632Dic79⋊C4C2414yes—
633Dic79⋊C4C2414yes—
634Dic79⋊C4C2414yes—
635Dic79⋊C4C2414yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2414yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650Dic79⋊C4C2414yes—
651C22⋊Dic79C2414yes—
652C22⋊Dic79C2414yes—
653C22⋊Dic79C2414yes—
654C22⋊Dic79C2414yes—
655(C2×D79)⋊C4C2414yes—
656(C2×D79)⋊C4C2414yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2414yes—
664(C2×D79)⋊C4C2414yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2414yes—
670(C2×D79)⋊C4C2414yes—
671C4×Dic79C2414yes—
672C4×Dic79C2414yes—
673C4×Dic79C2414yes—
674C4×Dic79C2414yes—
675C4×Dic79C2414yes—
676C4×Dic79C2414yes—
677C4×Dic79C2414yes—
678C4×Dic79C2414yes—
679C4×Dic79C2414yes—
680C4×Dic79C2414yes—
681C4×Dic79C2414yes—
682C4×Dic79C2414yes—
683C4×Dic79C2414yes—
684C4×Dic79C2414yes—
685C4×Dic79C2414yes—
686C4×Dic79C2414yes—
687C24×C79C2411yescharacteristic
688C2×Q8×C79—42no—
689C2×Q8×C79—42no—
690C2×Q8×C79C2414yes—
691C2×Q8×C79C2414yes—
692C22×C4×C79—42no—
693C22×C4×C79C2411yescharacteristic
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2411yescharacteristic
696C22×C4×C79C2411yescharacteristic
697C22×C4×C79C2411yescharacteristic
698C22×C4×C79C2411yescharacteristic
699C22×C4×C79C2411yescharacteristic
700C22×C4×C79C2411yescharacteristic
701C22×C4×C79C2411yescharacteristic
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707C22×C4×C79C2414yes—
708C4⋊C4×C79C2414yes—
709C4⋊C4×C79C2414yes—
710C4⋊C4×C79C2414yes—
711C4⋊C4×C79C2414yes—
712C4⋊C4×C79C2414yes—
713C4⋊C4×C79C2414yes—
714C4⋊C4×C79C2414yes—
715C4⋊C4×C79C2414yes—
716C4⋊C4×C79C2414yes—
717C4⋊C4×C79C2414yes—
718C4⋊C4×C79C2414yes—
719C4⋊C4×C79C2414yes—
720C4⋊C4×C79C2414yes—
721C4⋊C4×C79C2414yes—
722C4⋊C4×C79C2414yes—
723C4⋊C4×C79C2414yes—
724C4⋊C4×C79C2414yes—
725C4⋊C4×C79C2414yes—
726C4⋊C4×C79C2414yes—
727C4⋊C4×C79C2414yes—
728C22⋊C4×C79C2414yes—
729C22⋊C4×C79C2414yes—
730C22⋊C4×C79C2414yes—
731C22⋊C4×C79C2414yes—
732C22⋊C4×C79C2414yes—
733C22⋊C4×C79C2414yes—
734C42×C79C2414yes—
735C42×C79C2414yes—
736C42×C79C2414yes—
737C42×C79C2414yes—
738C42×C79C2414yes—
739C42×C79C2414yes—
740C23×C79—22no—
741C23×C79—22no—
742C23×C79—22no—
743C23×C79C2512yes—
744C23×C79C2511yescharacteristic
745C22×D79—22no—
746C22×D79—22no—
747C22×D79—22no—
748C22×D79—22no—
749C22×D79—22no—
750C22×D792−1+414yes—
751C22×D79C2512yes—
752C22×D79C2512yes—
753Q8×C79—44no—
754Q8×C79—44no—
755C2×C4×C79—22no—
756C2×C4×C79—22no—
757C2×C4×C79—22no—
758C2×C4×C79—22no—
759C2×C4×C79—22no—
760C2×C4×C79—22no—
761C2×C4×C79—22no—
762C2×C4×C79—22no—
763C2×C4×C79—22no—
764C2×C4×C79—22no—
765C2×C4×C79—22no—
766C2×C4×C79—22no—
767C2×C4×C79—22no—
768C2×C4×C79—22no—
769C2×C4×C79—44no—
770C2×C4×C79C2512yes—
771C2×C4×C79C2512yes—
772C2×C4×C79C2512yes—
773C2×C4×C79C2512yes—
774C2×C4×C79C2512yes—
775C2×C4×C79C2512yes—
776C2×C4×C79C2512yes—
777C2×C4×C79C2512yes—
778C2×C4×C79C2512yes—
779C2×C4×C79C2512yes—
780C2×C4×C79C2512yes—
781C2×C4×C79C2512yes—
782C2×C4×C79C2512yes—
783C2×C4×C79C2512yes—
784C22⋊D79—28no—
785C22⋊D79—44no—
786C2×Dic79—22no—
787C2×Dic79—22no—
788C2×Dic79—22no—
789C2×Dic79—22no—
790C2×Dic79—22no—
791C2×Dic79—22no—
792C2×Dic79—22no—
793C2×Dic79—22no—
794C2×Dic79—22no—
795C2×Dic79—22no—
796C2×Dic79—22no—
797C2×Dic79—22no—
798C2×Dic79—22no—
799C2×Dic79—28no—
800C2×Dic79—44no—
801C2×Dic792−1+414yes—
802C2×Dic79C2512yes—
803C2×Dic79C2512yes—
804C2×Dic79C2512yes—
805C2×Dic79C2512yes—
806C2×Dic79C2512yes—
807C2×Dic79C2512yes—
808C2×Dic79C2512yes—
809C2×Dic79C2512yes—
810C2×Dic79C2512yes—
811C2×Dic79C2512yes—
812C2×Dic79C2512yes—
813C2×Dic79C2512yes—
814C2×Dic79C2512yes—
815C2×Dic79C2512yes—
816D316—28no—
817C4×D79—28no—
818C4×D79—28no—
819C4×D79—28no—
820C4×D79—28no—
821C4×D79—28no—
822C4×D79—44no—
823C4×D79—44no—
824C4×D79—44no—
825C4×D79—44no—
826C4×D79—44no—
827Dic158—28no—
828Dic158—28no—
829Dic158—44no—
830Dic158—44no—
831Dic158—44no—
832Dic158—44no—
833Dic158—44no—
834C22×C79—22no—
835C22×C79—22no—
836C22×C79—22no—
837C22×C79—44no—
838C22×C79C2×2−1+412yes—
839C22×C79C2×2−1+412yes—
840C22×C79#58512yes—
841C22×C79C2611yescharacteristic
842C2×D79—22no—
843C2×D79—22no—
844C2×D79—28no—
845C2×D79—22no—
846C2×D79—22no—
847C2×D79—22no—
848C2×D79—44no—
849C2×D79C2×2−1+414yes—
850C4×C79—22no—
851C4×C79—22no—
852C4×C79—22no—
853C4×C79—22no—
854C4×C79—22no—
855C4×C79—22no—
856C4×C79—22no—
857C4×C79—22no—
858C4×C79—22no—
859C4×C79—22no—
860C4×C79—22no—
861C4×C79—22no—
862C4×C79—22no—
863C4×C79—22no—
864Dic79—22no—
865Dic79—22no—
866Dic79—22no—
867Dic79—22no—
868Dic79—22no—
869Dic79—22no—
870Dic79—22no—
871Dic79—22no—
872Dic79—22no—
873Dic79—22no—
874Dic79—22no—
875Dic79—22no—
876Dic79—22no—
877Dic79C2×2−1+414yes—
878C2×#3563—791nomaximal, Sylow
879C2×C79—42no—
880C2×C79#356314yescomplemented
881C2×C79C22×2−1+411yescharacteristic
882C2×C79C22×2−1+411yescharacteristic
883C2×C79C2×#58511yescharacteristic
884D79—24no—
885D79—42no—
886#3563—7932no—
887C2×#564—791no—
888C2×#564—791no—
889C2×#563—791no—
890C2×#563—791no—
891C2×#557—791no—
892C2×#557—791no—
893C2×#554—791no—
894C2×#554—791no—
895C2×#552—791no—
896C2×#552—791no—
897C2×#552—791no—
898C2×#552—791no—
899C2×#552—791no—
900C2×#552—791no—
901C2×#552—791no—
902C2×#552—791no—
903C2×#544—791no—
904C2×#544—791no—
905C2×#544—791no—
906C2×#544—791no—
907C2×#541—791no—
908C2×#541—791no—
909C2×#541—791no—
910C2×#541—791no—
911C2×#541—791no—
912C2×#541D7911yescharacteristic, complemented
913C2×#539—791no—
914C2×#539—791no—
915C2×#533—791no—
916C2×#529—791no—
917C22×#125—791no—
918C79C2×#356311yescharacteristic, complemented, Sylow
919#564—7916no—
920#564—7916no—
921#563—7916no—
922#563—7916no—
923#557—7916no—
924#557—7916no—
925#554—7916no—
926#554—7916no—
927#552—7916no—
928#552—7916no—
929#552—7916no—
930#552—7916no—
931#552—7916no—
932#552—7916no—
933#552—7916no—
934#552—7916no—
935#544—7916no—
936#544—7916no—
937#544—7916no—
938#544—7916no—
939#541—7916no—
940#541—7916no—
941#541—7916no—
942#541—7916no—
943#541—7916no—
944#541C2×D79116yescomplemented
945#539—7916no—
946#539—7916no—
947#533—7916no—
948C2×C4⋊Q8—791no—
949C2×C4⋊Q8—791no—
950C2×C4⋊Q8—791no—
951C2×C4⋊Q8—791no—
952C2×C4⋊Q8—791no—
953C2×C4⋊Q8—791no—
954C2×C4⋊Q8—791no—
955C2×C4⋊Q8—791no—
956C2×C4⋊Q8—791no—
957C2×C4⋊Q8—791no—
958C2×C4⋊Q8—791no—
959C2×C4⋊Q8C2×D7911yescharacteristic
960#529—7916no—
961C2×#126—791no—
962C2×#126—791no—
963C2×#126—791no—
964C2×#126—791no—
965C2×#126—791no—
966C2×#126—791no—
967C2×#126—791no—
968C2×#126—791no—
969C2×#126—791no—
970C2×#126—791no—
971C2×#126—791no—
972C2×#126—791no—
973C2×#126—791no—
974C2×#126—791no—
975C2×#126C2×D7911yescharacteristic
976C2×#126C2×D7911yescharacteristic
977C2×#126C2×D7911yescharacteristic
978C2×#126C2×D7911yescharacteristic
979C2×#125—7916no—
980C2×#125—791no—
981C2×#125—791no—
982C2×#125—791no—
983C2×#125—791no—
984C2×#125—791no—
985C2×#125—791no—
986C2×#125—791no—
987C2×#125—791no—
988C2×#125—791no—
989C2×#125—791no—
990C2×#125—791no—
991C2×#125—791no—
992C2×#125—791no—
993C2×#125—791no—
994C2×#125—791no—
995C2×#125—791no—
996C2×#125—791no—
997C2×#125—791no—
998C2×#125—791no—
999C2×#125—791no—
1000C2×#125—791no—
1001C2×#125—791no—
1002C2×#125—791no—
1003C2×#125—791no—
1004C2×#125—791no—
1005C2×#125—791no—
1006C2×#125—791no—
1007C2×#125—791no—
1008C2×#125—791no—
1009C2×#125—791no—
1010C2×#125—791no—
1011C2×#125—791no—
1012C2×#125—791no—
1013C2×#125—791no—
1014C2×#125—791no—
1015C2×#125—791no—
1016C2×#125—791no—
1017C2×#125—791no—
1018C2×#125—791no—
1019C2×#125—791no—
1020C2×#125C2×D7911yescharacteristic
1021C2×#125C2×D7911yescharacteristic
1022C2×#125C2×D7911yescharacteristic
1023C2×#125C2×D7911yescharacteristic
1024C2×#125C2×D7911yescharacteristic
1025C2×#124—791no—
1026C2×#123—791no—
1027C2×#123—791no—
1028C2×#123—791no—
1029C2×#123—791no—
1030C2×#123—791no—
1031C2×#123—791no—
1032C2×#123—791no—
1033C2×#123—791no—
1034C2×#123—791no—
1035C2×#123—791no—
1036C2×C22⋊Q8—791no—
1037C2×C22⋊Q8—791no—
1038C2×C22⋊Q8—791no—
1039C2×C22⋊Q8—791no—
1040C2×C22⋊Q8—791no—
1041C2×C22⋊Q8—791no—
1042C2×C22⋊Q8—791no—
1043C2×C22⋊Q8—791no—
1044C2×C22⋊Q8—791no—
1045C2×C22⋊Q8—791no—
1046C2×C22⋊Q8—791no—
1047C2×C22⋊Q8—791no—
1048C2×C22⋊Q8—791no—
1049C2×C22⋊Q8—791no—
1050C2×C22⋊Q8—791no—
1051C2×C22⋊Q8—791no—
1052C2×C22⋊Q8—791no—
1053C2×C22⋊Q8—791no—
1054C2×C22⋊Q8—791no—
1055C2×C22⋊Q8—791no—
1056C2×C22⋊Q8—791no—
1057C2×C22⋊Q8—791no—
1058C2×C22⋊Q8—791no—
1059C2×C22⋊Q8C2×D7911yescharacteristic
1060C2×C22⋊Q8C2×D7911yescharacteristic
1061C2×#121—791no—
1062C2×C4×Q8—791no—
1063C2×C4×Q8—791no—
1064C2×C4×Q8—791no—
1065C2×C4×Q8—791no—
1066C2×C4×Q8—791no—
1067C2×C4×Q8—791no—
1068C2×C4×Q8—791no—
1069C2×C4×Q8—791no—
1070C2×C4×Q8—791no—
1071C2×C4×Q8—791no—
1072C2×C4×Q8—791no—
1073C2×C4×Q8C2×D7911yescharacteristic
1074C2×C4×Q8C2×D7911yescharacteristic
1075C2×C4×D4—791no—
1076C2×C4×D4—791no—
1077C2×C4×D4—791no—
1078C2×C4×D4—791no—
1079C2×C4×D4—791no—
1080C2×C4×D4—791no—
1081C2×C4×D4—791no—
1082C2×#117—791no—
1083C2×#117—791no—
1084C2×#117—791no—
1085C2×#117—791no—
1086C2×#117—791no—
1087C2×#117—791no—
1088C2×#117—791no—
1089C2×#117—791no—
1090C2×#117—791no—
1091C2×#117—791no—
1092C2×#117—791no—
1093C2×#117—791no—
1094C2×#117—791no—
1095C2×#117C2×D7911yescharacteristic
1096C22×C4⋊C4—791no—
1097C22×C4⋊C4—791no—
1098C22×C4⋊C4—791no—
1099C22×C4⋊C4—791no—
1100C22×C4⋊C4—791no—
1101C22×C4⋊C4—791no—
1102C22×C4⋊C4—791no—
1103C22×C4⋊C4—791no—
1104C22×C42—791no—
1105C22×Q8—791no—
1106C22×Q8—791no—
1107C22×Q8—791no—
1108C22×Q8—791no—
1109C22×Q8—791no—
1110C22×Q8—791no—
1111C22×Q8—791no—
1112C22×Q8C22×D7911yescharacteristic
1113C22×Q8C22×D7911yescharacteristic
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4—791no—
1123C23×C4—791no—
1124C23×C4—791no—
1125C23×C4—791no—
1126C23×C4—791no—
1127C23×C4—791no—
1128C23×C4—791no—
1129C23×C4C22×D7911yescharacteristic
1130C4⋊Q8—798no—
1131C4⋊Q8—798no—
1132C4⋊Q8—798no—
1133C4⋊Q8—798no—
1134C4⋊Q8—798no—
1135C4⋊Q8—798no—
1136C4⋊Q8—798no—
1137C4⋊Q8—798no—
1138C4⋊Q8—798no—
1139C4⋊Q8—798no—
1140C4⋊Q8—798no—
1141C4⋊Q8C22×D7918yes—
1142#126—798no—
1143#126—798no—
1144#126—798no—
1145#126—798no—
1146#126—798no—
1147#126—798no—
1148#126—798no—
1149#126—798no—
1150#126—798no—
1151#126—798no—
1152#126—798no—
1153#126—798no—
1154#126—798no—
1155#126—798no—
1156#126C22×D7918yes—
1157#126C22×D7918yes—
1158#126C22×D7918yes—
1159#126C22×D7918yes—
1160#125—798no—
1161#125—798no—
1162#125—798no—
1163#125—798no—
1164#125—798no—
1165#125—798no—
1166#125—798no—
1167#125—798no—
1168#125—798no—
1169#125—798no—
1170#125—798no—
1171#125—798no—
1172#125—798no—
1173#125—798no—
1174#125—798no—
1175#125—798no—
1176#125—798no—
1177#125—798no—
1178#125—798no—
1179#125—798no—
1180#125—798no—
1181#125—798no—
1182#125—798no—
1183#125—798no—
1184#125—798no—
1185#125—798no—
1186#125—798no—
1187#125—798no—
1188#125—798no—
1189#125—798no—
1190#125—798no—
1191#125—798no—
1192#125—798no—
1193#125—798no—
1194#125—798no—
1195#125—798no—
1196#125—798no—
1197#125—798no—
1198#125—798no—
1199#125—798no—
1200#125C22×D7918yes—
1201#125C22×D7918yes—
1202#125C22×D7918yes—
1203#125C22×D7918yes—
1204#125C22×D7918yes—
1205#124—798no—
1206#123—798no—
1207#123—798no—
1208#123—798no—
1209#123—798no—
1210#123—798no—
1211#123—798no—
1212#123—798no—
1213#123—798no—
1214#123—798no—
1215#123—798no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—798no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—798no—
1222C22⋊Q8—798no—
1223C22⋊Q8—798no—
1224C22⋊Q8—798no—
1225C22⋊Q8—798no—
1226C22⋊Q8—798no—
1227C22⋊Q8—798no—
1228C22⋊Q8—798no—
1229C22⋊Q8—798no—
1230C22⋊Q8—798no—
1231C22⋊Q8—798no—
1232C22⋊Q8—798no—
1233C22⋊Q8—798no—
1234C22⋊Q8—798no—
1235C22⋊Q8—798no—
1236C22⋊Q8—798no—
1237C22⋊Q8—798no—
1238C22⋊Q8—798no—
1239C22⋊Q8C22×D7918yes—
1240C22⋊Q8C22×D7918yes—
1241#121—798no—
1242C4×Q8—798no—
1243C4×Q8—798no—
1244C4×Q8—798no—
1245C4×Q8—798no—
1246C4×Q8—798no—
1247C4×Q8—798no—
1248C4×Q8—798no—
1249C4×Q8—798no—
1250C4×Q8—798no—
1251C4×Q8—798no—
1252C4×Q8—798no—
1253C4×Q8C22×D7918yes—
1254C4×Q8C22×D7918yes—
1255C4×D4—798no—
1256C4×D4—798no—
1257C4×D4—798no—
1258C4×D4—798no—
1259C4×D4—798no—
1260C4×D4—798no—
1261C4×D4—798no—
1262#117—798no—
1263#117—798no—
1264#117—798no—
1265#117—798no—
1266#117—798no—
1267#117—798no—
1268#117—798no—
1269#117—798no—
1270#117—798no—
1271#117—798no—
1272#117—798no—
1273#117—798no—
1274#117—798no—
1275#117C22×D7918yes—
1276C2×C4⋊C4—791no—
1277C2×C4⋊C4—791no—
1278C2×C4⋊C4—791no—
1279C2×C4⋊C4—791no—
1280C2×C4⋊C4—791no—
1281C2×C4⋊C4—791no—
1282C2×C4⋊C4—791no—
1283C2×C4⋊C4—791no—
1284C2×C4⋊C4—791no—
1285C2×C4⋊C4—791no—
1286C2×C4⋊C4—791no—
1287C2×C4⋊C4—791no—
1288C2×C4⋊C4—791no—
1289C2×C4⋊C4—791no—
1290C2×C4⋊C4—791no—
1291C2×C4⋊C4—791no—
1292C2×C4⋊C4—791no—
1293C2×C4⋊C4—791no—
1294C2×C4⋊C4—791no—
1295C2×C4⋊C4—791no—
1296C2×C4⋊C4—791no—
1297C2×C4⋊C4—791no—
1298C2×C4⋊C4—791no—
1299C2×C4⋊C4—798no—
1300C2×C4⋊C4—791no—
1301C2×C4⋊C4—791no—
1302C2×C4⋊C4—791no—
1303C2×C4⋊C4—791no—
1304C2×C4⋊C4—791no—
1305C2×C4⋊C4—791no—
1306C2×C4⋊C4—791no—
1307C2×C4⋊C4—791no—
1308C2×C4⋊C4—791no—
1309C2×C4⋊C4—791no—
1310C2×C4⋊C4—791no—
1311C2×C4⋊C4—791no—
1312C2×C4⋊C4—791no—
1313C2×C4⋊C4—791no—
1314C2×C4⋊C4—791no—
1315C2×C4⋊C4—791no—
1316C2×C4⋊C4—791no—
1317C2×C4⋊C4—791no—
1318C2×C4⋊C4—791no—
1319C2×C4⋊C4—791no—
1320C2×C4⋊C4—791no—
1321C2×C4⋊C4—791no—
1322C2×C4⋊C4—791no—
1323C2×C4⋊C4—791no—
1324C2×C4⋊C4—791no—
1325C2×C4⋊C4—791no—
1326C2×C4⋊C4—791no—
1327C2×C4⋊C4—791no—
1328C2×C4⋊C4—791no—
1329C2×C4⋊C4—791no—
1330C2×C4⋊C4—791no—
1331C2×C4⋊C4—791no—
1332C2×C4⋊C4—791no—
1333C2×C4⋊C4—791no—
1334C2×C4⋊C4—791no—
1335C2×C4⋊C4—791no—
1336C2×C4⋊C4—791no—
1337C2×C4⋊C4—791no—
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—798no—
1340C2×C4⋊C4—798no—
1341C2×C4⋊C4—798no—
1342C2×C4⋊C4—798no—
1343C2×C4⋊C4—798no—
1344C2×C4⋊C4—798no—
1345C2×C4⋊C4—798no—
1346C2×C4⋊C4C22×D7911yescharacteristic
1347C2×C4⋊C4C22×D7911yescharacteristic
1348C2×C4⋊C4C22×D7911yescharacteristic
1349C2×C4⋊C4C22×D7911yescharacteristic
1350C2×C4⋊C4C22×D7911yescharacteristic
1351C2×C4⋊C4C22×D7911yescharacteristic
1352C2×C4⋊C4C22×D7911yescharacteristic
1353C2×C4⋊C4C22×D7911yescharacteristic
1354C2×C4⋊C4C22×D7911yescharacteristic
1355C2×C4⋊C4C22×D7911yescharacteristic
1356C2×C4⋊C4C22×D7911yescharacteristic
1357C2×C4⋊C4C22×D7911yescharacteristic
1358C2×C4⋊C4C22×D7911yescharacteristic
1359C2×C4⋊C4C22×D7911yescharacteristic
1360C2×C4⋊C4C22×D7911yescharacteristic
1361C2×C4⋊C4C22×D7911yescharacteristic
1362C2×C4⋊C4C22×D7911yescharacteristic
1363C2×C4⋊C4C22×D7911yescharacteristic
1364C2×C4⋊C4C22×D7911yescharacteristic
1365C2×C4⋊C4C22×D7911yescharacteristic
1366C2×C22⋊C4—791no—
1367C2×C22⋊C4—791no—
1368C2×C22⋊C4—791no—
1369C2×C22⋊C4—791no—
1370C2×C22⋊C4—791no—
1371C2×C22⋊C4—791no—
1372C2×C22⋊C4—791no—
1373C2×C22⋊C4—791no—
1374C2×C22⋊C4—791no—
1375C2×C22⋊C4—791no—
1376C2×C22⋊C4—791no—
1377C2×C22⋊C4—791no—
1378C2×C22⋊C4—791no—
1379C2×C22⋊C4—791no—
1380C2×C22⋊C4—791no—
1381C2×C22⋊C4—791no—
1382C2×C22⋊C4—791no—
1383C2×C22⋊C4—791no—
1384C2×C22⋊C4—791no—
1385C2×C22⋊C4—791no—
1386C2×C22⋊C4C22×D7911yescharacteristic
1387C2×C22⋊C4C22×D7911yescharacteristic
1388C2×C22⋊C4C22×D7911yescharacteristic
1389C2×C22⋊C4C22×D7911yescharacteristic
1390C2×C22⋊C4C22×D7911yescharacteristic
1391C2×C22⋊C4C22×D7911yescharacteristic
1392C2×C42—791no—
1393C2×C42—791no—
1394C2×C42—791no—
1395C2×C42—791no—
1396C2×C42—791no—
1397C2×C42—791no—
1398C2×C42—791no—
1399C2×C42—791no—
1400C2×C42—791no—
1401C2×C42—791no—
1402C2×C42—791no—
1403C2×C42—791no—
1404C2×C42—791no—
1405C2×C42—791no—
1406C2×C42—791no—
1407C2×C42—791no—
1408C2×C42—798no—
1409C2×C42C22×D7911yescharacteristic
1410C2×C42C22×D7911yescharacteristic
1411C2×C42C22×D7911yescharacteristic
1412C2×C42C22×D7911yescharacteristic
1413C2×C42C22×D7911yescharacteristic
1414C2×C42C22×D7911yescharacteristic
1415C24—791no—
1416C24—791no—
1417C24C23×D7911yescharacteristic
1418C2×Q8—42no—
1419C2×Q8—42no—
1420C2×Q8—3162no—
1421C2×Q8—3162no—
1422C2×Q8—3162no—
1423C2×Q8—3162no—
1424C2×Q8—3162no—
1425C2×Q8—794no—
1426C2×Q8—794no—
1427C2×Q8—794no—
1428C2×Q8—794no—
1429C2×Q8—794no—
1430C2×Q8—794no—
1431C2×Q8—794no—
1432C2×Q8—1584no—
1433C2×Q8—1584no—
1434C2×Q8C23×D7914yes—
1435C2×Q8C23×D7914yes—
1436C2×D4—3162no—
1437C2×D4—794no—
1438C2×D4—794no—
1439C2×D4—794no—
1440C2×D4—1584no—
1441C2×D4—1584no—
1442C22×C4—42no—
1443C22×C4—3162no—
1444C22×C4—3162no—
1445C22×C4—3162no—
1446C22×C4—3162no—
1447C22×C4—3162no—
1448C22×C4—3162no—
1449C22×C4—794no—
1450C22×C4—794no—
1451C22×C4—794no—
1452C22×C4—794no—
1453C22×C4—794no—
1454C22×C4—794no—
1455C22×C4—791no—
1456C22×C4—794no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—791no—
1460C22×C4—791no—
1461C22×C4—791no—
1462C22×C4—791no—
1463C22×C4—791no—
1464C22×C4—791no—
1465C22×C4—791no—
1466C22×C4—791no—
1467C22×C4—791no—
1468C22×C4—791no—
1469C22×C4—791no—
1470C22×C4—794no—
1471C22×C4—794no—
1472C22×C4—794no—
1473C22×C4—794no—
1474C22×C4—794no—
1475C22×C4—1584no—
1476C22×C4—1584no—
1477C22×C4—1584no—
1478C22×C4—1584no—
1479C22×C4—1584no—
1480C22×C4—1584no—
1481C22×C4C23×D7911yescharacteristic
1482C22×C4C23×D7911yescharacteristic
1483C22×C4C23×D7911yescharacteristic
1484C22×C4C23×D7911yescharacteristic
1485C22×C4C23×D7911yescharacteristic
1486C22×C4C23×D7911yescharacteristic
1487C22×C4C23×D7911yescharacteristic
1488C22×C4C23×D7911yescharacteristic
1489C22×C4C23×D7911yescharacteristic
1490C22×C4C23×D7911yescharacteristic
1491C22×C4C23×D7911yescharacteristic
1492C22×C4C23×D7911yescharacteristic
1493C22×C4C23×D7911yescharacteristic
1494C22×C4C23×D7911yescharacteristic
1495C22×C4C23×D7914yes—
1496C4⋊C4—794no—
1497C4⋊C4—794no—
1498C4⋊C4—794no—
1499C4⋊C4—794no—
1500C4⋊C4—794no—
1501C4⋊C4—794no—
1502C4⋊C4—794no—
1503C4⋊C4—794no—
1504C4⋊C4—794no—
1505C4⋊C4—794no—
1506C4⋊C4—794no—
1507C4⋊C4—794no—
1508C4⋊C4—794no—
1509C4⋊C4—794no—
1510C4⋊C4—794no—
1511C4⋊C4—794no—
1512C4⋊C4—794no—
1513C4⋊C4—794no—
1514C4⋊C4—794no—
1515C4⋊C4—794no—
1516C4⋊C4—794no—
1517C4⋊C4—794no—
1518C4⋊C4—794no—
1519C4⋊C4—794no—
1520C4⋊C4—794no—
1521C4⋊C4—794no—
1522C4⋊C4—794no—
1523C4⋊C4—794no—
1524C4⋊C4—794no—
1525C4⋊C4—794no—
1526C4⋊C4—794no—
1527C4⋊C4—794no—
1528C4⋊C4—794no—
1529C4⋊C4—794no—
1530C4⋊C4—794no—
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—794no—
1535C4⋊C4—794no—
1536C4⋊C4—794no—
1537C4⋊C4—794no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—794no—
1543C4⋊C4—794no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—794no—
1548C4⋊C4—794no—
1549C4⋊C4—794no—
1550C4⋊C4—794no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4C23×D7914yes—
1559C4⋊C4C23×D7914yes—
1560C4⋊C4C23×D7914yes—
1561C4⋊C4C23×D7914yes—
1562C4⋊C4C23×D7914yes—
1563C4⋊C4C23×D7914yes—
1564C4⋊C4C23×D7914yes—
1565C4⋊C4C23×D7914yes—
1566C4⋊C4C23×D7914yes—
1567C4⋊C4C23×D7914yes—
1568C4⋊C4C23×D7914yes—
1569C4⋊C4C23×D7914yes—
1570C4⋊C4C23×D7914yes—
1571C4⋊C4C23×D7914yes—
1572C4⋊C4C23×D7914yes—
1573C4⋊C4C23×D7914yes—
1574C4⋊C4C23×D7914yes—
1575C4⋊C4C23×D7914yes—
1576C4⋊C4C23×D7914yes—
1577C4⋊C4C23×D7914yes—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—794no—
1581C22⋊C4—794no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—794no—
1585C22⋊C4—794no—
1586C22⋊C4—794no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—794no—
1591C22⋊C4—794no—
1592C22⋊C4—794no—
1593C22⋊C4—794no—
1594C22⋊C4—794no—
1595C22⋊C4—794no—
1596C22⋊C4—794no—
1597C22⋊C4—794no—
1598C22⋊C4C23×D7914yes—
1599C22⋊C4C23×D7914yes—
1600C22⋊C4C23×D7914yes—
1601C22⋊C4C23×D7914yes—
1602C22⋊C4C23×D7914yes—
1603C22⋊C4C23×D7914yes—
1604C42—794no—
1605C42—794no—
1606C42—794no—
1607C42—794no—
1608C42—794no—
1609C42—794no—
1610C42—794no—
1611C42—794no—
1612C42—794no—
1613C42—794no—
1614C42—794no—
1615C42—794no—
1616C42—794no—
1617C42—794no—
1618C42—794no—
1619C42—794no—
1620C42C23×D7914yes—
1621C42C23×D7914yes—
1622C42C23×D7914yes—
1623C42C23×D7914yes—
1624C42C23×D7914yes—
1625C42C23×D7914yes—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—794no—
1630C23—792no—
1631C23—792no—
1632C23—1582no—
1633C23—1582no—
1634C23—1582no—
1635C23—1582no—
1636C23—1582no—
1637C23C24×D7912yes—
1638C23C24×D7911yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—3164no—
1642Q8—3164no—
1643Q8—3164no—
1644Q8—3164no—
1645Q8—3164no—
1646Q8—1588no—
1647Q8—1588no—
1648D4—3164no—
1649D4—1588no—
1650D4—1588no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—44no—
1666C2×C4—3164no—
1667C2×C4—3164no—
1668C2×C4—3164no—
1669C2×C4—3164no—
1670C2×C4—3164no—
1671C2×C4—3164no—
1672C2×C4—794no—
1673C2×C4—792no—
1674C2×C4—792no—
1675C2×C4—792no—
1676C2×C4—792no—
1677C2×C4—792no—
1678C2×C4—792no—
1679C2×C4—792no—
1680C2×C4—792no—
1681C2×C4—792no—
1682C2×C4—792no—
1683C2×C4—792no—
1684C2×C4—792no—
1685C2×C4—792no—
1686C2×C4—792no—
1687C2×C4—1588no—
1688C2×C4—1588no—
1689C2×C4—1588no—
1690C2×C4—1588no—
1691C2×C4—1588no—
1692C2×C4—1588no—
1693C2×C4—1582no—
1694C2×C4—1582no—
1695C2×C4—1582no—
1696C2×C4—1582no—
1697C2×C4—1582no—
1698C2×C4—1582no—
1699C2×C4—1582no—
1700C2×C4—1582no—
1701C2×C4—1582no—
1702C2×C4—1582no—
1703C2×C4—1582no—
1704C2×C4—1582no—
1705C2×C4—1582no—
1706C2×C4C24×D7912yes—
1707C2×C4C24×D7912yes—
1708C2×C4C24×D7912yes—
1709C2×C4C24×D7912yes—
1710C2×C4C24×D7912yes—
1711C2×C4C24×D7912yes—
1712C2×C4C24×D7912yes—
1713C2×C4C24×D7912yes—
1714C2×C4C24×D7912yes—
1715C2×C4C24×D7912yes—
1716C2×C4C24×D7912yes—
1717C2×C4C24×D7912yes—
1718C2×C4C24×D7912yes—
1719C2×C4C24×D7912yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—44no—
1724C22—3164no—
1725C22—794no—
1726C22—1582no—
1727C22—1582no—
1728C22—1582no—
1729C22—1582no—
1730C22—1582no—
1731C22—1588no—
1732C222−1+4×D7912yes—
1733C222−1+4×D7912yes—
1734C22#1909939912yes—
1735C22C25×D7911yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—794no—
1751C4—1582no—
1752C4—1582no—
1753C4—1582no—
1754C4—1582no—
1755C4—1582no—
1756C4—1582no—
1757C4—1582no—
1758C4—1582no—
1759C4—1582no—
1760C4—1582no—
1761C4—1582no—
1762C4—1582no—
1763C4—1582no—
1764C2—42no—
1765C2—3162no—
1766C2—1584no—
1767C2#2377799814yesdirect product factor
1768C2C2×2−1+4×D7911yescharacteristic
1769C2C2×2−1+4×D7911yescharacteristic
1770C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#541×C79C2
socleC23×C79C25
prime radicalC2×#14579134C22
hypercenterC2×#541D79
hypocenterC79C2×#3563
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #23777998C2direct (N × H)
2. C2×C79⋊#564C2semidirect
3. C2×C79⋊#564C2semidirect
4. C2×#19099315C2semidirect
5. C2×#19099314C2semidirect
6. C2×#19099291C2semidirect
7. C2×#19099290C2semidirect
8. C2×#19099269C2semidirect
9. C2×#19099267C2semidirect
10. C2×#19099254C2semidirect
11. C2×#19099252C2semidirect
12. C2×#19099249C2semidirect
13. C2×#19099249C2semidirect
14. C2×#19099249C2semidirect
15. C2×#19099246C2semidirect
16. C2×#19099245C2semidirect
17. C2×#19099245C2semidirect
18. C2×#19099193C2semidirect
19. C2×#19099192C2semidirect
20. C2×#19099190C2semidirect
21. C2×#19099190C2semidirect
22. C2×#19099172C2semidirect
23. C2×#19099172C2semidirect
24. C2×#19099171C2semidirect
25. C2×#19099170C2semidirect
26. C2×#19099170C2semidirect
29. C2×#19099117C2semidirect
31. C2×#125×D79C2semidirect
32. C2×#541×C79C2semidirect
33. C79⋊#564C22semidirect
34. C79⋊#564C22semidirect
35. #19099315C22semidirect
36. #19099314C22semidirect
37. #19099291C22semidirect
38. #19099290C22semidirect
39. #19099269C22semidirect
40. #19099267C22semidirect
41. #19099254C22semidirect
42. #19099252C22semidirect
43. #19099249C22semidirect
44. #19099249C22semidirect
45. #19099249C22semidirect
46. #19099246C22semidirect
47. #19099245C22semidirect
48. #19099245C22semidirect
49. #19099193C22semidirect
50. #19099192C22semidirect
51. #19099190C22semidirect
52. #19099190C22semidirect
53. #19099172C22semidirect
54. #19099172C22semidirect
55. #19099171C22semidirect
56. #19099170C22semidirect
57. #19099170C22semidirect
60. #19099117C22semidirect
127. #125×D79C22semidirect
203. #541×C79C22semidirect
880. C2×C79#3563semidirect
912. C2×#541D79semidirect
918. C79C2×#3563semidirect
944. #541C2×D79semidirect
1767. C2#23777998direct (N × H)

Maximal subgroups

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

subgroupindex
#237779982
C2×C79⋊#5642
C2×#190993152
C2×#190993142
C2×#190992912
C2×#190992902
C2×#190992692
C2×#190992672
C2×#190992542
C2×#190992522
C2×#190992492
C2×#190992462
C2×#190992452
C2×#190991932
C2×#190991922
C2×#190991902
C2×#190991722
C2×#190991712
C2×#190991702
C2×#190991592
C2×#190991542
C2×#190991172
C2×#190990962
C2×#125×D792
C2×#541×C792
C2×#356379