Finite Group Databasebeta

← C2×#23778089 #35195705

Subgroups — C2×#23778089 #35195705

Order 20224.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778089C2132yesmaximal, direct product factor
2C2×C79⋊#564C211yesmaximal, characteristic, complemented
3C2×#19099310C211yesmaximal, characteristic, complemented
4C2×#19099309C211yesmaximal, characteristic, complemented
5C2×#19099309C211yesmaximal, characteristic, complemented
6C2×#19099264C211yesmaximal, characteristic, complemented
7C2×#19099264C211yesmaximal, characteristic, complemented
8C2×#19099262C211yesmaximal, characteristic, complemented
9C2×#19099261C211yesmaximal, characteristic, complemented
10C2×#19099258C211yesmaximal, characteristic, complemented
11C2×#19099257C211yesmaximal, characteristic, complemented
12C2×#19099254C211yesmaximal, characteristic, complemented
13C2×#19099252C211yesmaximal, characteristic, complemented
14C2×#19099251C211yesmaximal, characteristic, complemented
15C2×#19099246C211yesmaximal, characteristic, complemented
16C2×#19099245C211yesmaximal, characteristic, complemented
17C2×#19099169C211yesmaximal, characteristic, complemented
18C2×#19099168C211yesmaximal, characteristic, complemented
19C2×#19099168C211yesmaximal, characteristic, complemented
20C2×#19099165C211yesmaximal, characteristic, complemented
21C2×#19099165C211yesmaximal, characteristic, complemented
22C2×#19099164C211yesmaximal, characteristic, complemented
23C2×#19099162C211yesmaximal, characteristic, complemented
24C2×#19099161C211yesmaximal, characteristic, complemented
25C2×#19099161C211yesmaximal, characteristic, complemented
26C2×#19099160C211yesmaximal, characteristic, complemented
27C2×#19099159C211yesmaximal, characteristic, complemented
28C2×#19099154C211yesmaximal, characteristic, complemented
29C2×#19099100C211yesmaximal, characteristic, complemented
30C2×#19099096C211yesmaximal, characteristic, complemented
31C2×#19099091C211yesmaximal, characteristic, complemented
32C2×#552×C79C211yesmaximal, characteristic, complemented
33C79⋊#564C22116yescomplemented
34#19099310C22116yescomplemented
35#19099309C22116yescomplemented
36#19099309C22116yescomplemented
37#19099264C22116yescomplemented
38#19099264C22116yescomplemented
39#19099262C22116yescomplemented
40#19099261C22116yescomplemented
41#19099258C22116yescomplemented
42#19099257C22116yescomplemented
43#19099254C22116yescomplemented
44#19099252C22116yescomplemented
45#19099251C22116yescomplemented
46#19099246C22116yescomplemented
47#19099245C22116yescomplemented
48#19099169C22116yescomplemented
49#19099168C22116yescomplemented
50#19099168C22116yescomplemented
51#19099165C22116yescomplemented
52#19099165C22116yescomplemented
53#19099164C22116yescomplemented
54#19099162C22116yescomplemented
55#19099161C22116yescomplemented
56#19099161C22116yescomplemented
57#19099160C22116yescomplemented
58#19099159C22116yescomplemented
59#19099154C22116yescomplemented
60C2×#14579158C2211yescharacteristic
61C2×#14579157C2211yescharacteristic
62#19099100C22116yescomplemented
63#19099096C22116yescomplemented
64#19099091C22116yescomplemented
65C2×#14579156C2211yescharacteristic
66C2×#14579156C2211yescharacteristic
67C2×#14579156C2211yescharacteristic
68C2×#14579156C2211yescharacteristic
69C2×#14579156C2211yescharacteristic
70C2×#14579156C2211yescharacteristic
71C2×#14579156C2211yescharacteristic
72C2×#14579155C2211yescharacteristic
73C2×#14579155C2211yescharacteristic
74C2×#14579155C2211yescharacteristic
75C2×#14579154C2211yescharacteristic
76C2×#14579154C2211yescharacteristic
77C2×#14579153C2211yescharacteristic
78C2×#14579153C2211yescharacteristic
79C2×#14579153C2211yescharacteristic
80C2×#14579152C2211yescharacteristic
81C2×#14579152C2211yescharacteristic
82C2×#14579152C2211yescharacteristic
83C2×#14579152C2211yescharacteristic
84C2×#14579152C2211yescharacteristic
85C2×#14579151C2211yescharacteristic
86C2×#14579151C2211yescharacteristic
87C2×#14579151C2211yescharacteristic
88C2×#14579151C2211yescharacteristic
89C2×#14579151C2211yescharacteristic
90C2×#14579151C2211yescharacteristic
91C2×#14579151C2211yescharacteristic
92C2×#14579151C2211yescharacteristic
93C2×#14579151C2211yescharacteristic
94C2×#14579151C2211yescharacteristic
95C2×#14579150C2211yescharacteristic
96C2×#14579147C2211yescharacteristic
97C2×#14579147C2211yescharacteristic
98C2×#14579146C2211yescharacteristic
99C2×#14579146C2211yescharacteristic
100C2×#14579146C2211yescharacteristic
101C2×#14579146C2211yescharacteristic
102C2×#14579146C2211yescharacteristic
103C2×#14579146C2211yescharacteristic
104C2×#14579146C2211yescharacteristic
105C2×#14579146C2211yescharacteristic
106C2×#14579146C2211yescharacteristic
107C2×#14579146C2211yescharacteristic
108C2×#14579146C2211yescharacteristic
109C2×#14579146C2211yescharacteristic
110C2×#14579146C2211yescharacteristic
111C2×#14579146C2211yescharacteristic
112C2×#14579146C2211yescharacteristic
113C2×#14579146C2211yescharacteristic
114C2×#14579145C2211yescharacteristic
115C2×#14579145C2211yescharacteristic
116C2×#14579145C2211yescharacteristic
117C2×#14579144C2211yescharacteristic
118C2×#14579144C2211yescharacteristic
119C2×#14579144C2211yescharacteristic
120C2×#14579143C2211yescharacteristic
121C2×#14579143C2211yescharacteristic
122C2×#14579143C2211yescharacteristic
123C2×#14579143C2211yescharacteristic
124C2×#14579143C2211yescharacteristic
125C2×#14579143C2211yescharacteristic
126C2×#14579141C2211yescharacteristic
127C2×#14579141C2211yescharacteristic
128C2×#14579141C2211yescharacteristic
129C2×#14579140C2211yescharacteristic
130C2×#14579139C2211yescharacteristic
131C2×#14579139C2211yescharacteristic
132C2×#14579139C2211yescharacteristic
133C2×#14579139C2211yescharacteristic
134C2×#14579139C2211yescharacteristic
135C2×#14579138C2211yescharacteristic
136C2×#14579137C2211yescharacteristic
137C2×#14579137C2211yescharacteristic
138C2×#14579137C2211yescharacteristic
139C2×#14579136C2211yescharacteristic
140C2×#14579136C2211yescharacteristic
141C2×#14579136C2211yescharacteristic
142C2×#14579136C2211yescharacteristic
143C2×#14579136C2211yescharacteristic
144C2×#14579136C2211yescharacteristic
145C2×#14579135C2211yescharacteristic
146C2×#14579135C2211yescharacteristic
147C2×#14579135C2211yescharacteristic
148C2×#14579135C2211yescharacteristic
149C2×#14579135C2211yescharacteristic
150C2×#14579135C2211yescharacteristic
151C2×#14579134C2211yescharacteristic
152C2×#14579134C2211yescharacteristic
153C2×#14579134C2211yescharacteristic
154C2×#14579134C2211yescharacteristic
155C2×#14579134C2211yescharacteristic
156C2×#14579134C2211yescharacteristic
157C2×#14579134C2211yescharacteristic
158C2×#14579134C2211yescharacteristic
159C2×#14579134C2211yescharacteristic
160C2×#14579134C2211yescharacteristic
161C2×#14579134C2211yescharacteristic
162C2×#14579134C2211yescharacteristic
163C2×#14579133C2211yescharacteristic
164C2×#14579133C2211yescharacteristic
165C2×#14579132C2211yescharacteristic
166C2×C4×Dic158C2211yescharacteristic
167C2×#14579126C2211yescharacteristic
168C2×C4×D316C2211yescharacteristic
169C2×C4×D316C2211yescharacteristic
170C2×C4×D316C2211yescharacteristic
171C2×C4×D316C2211yescharacteristic
172C2×C4×D316C2211yescharacteristic
173C2×C4×D316C2211yescharacteristic
174C2×#14579123C2211yescharacteristic
175C2×#14579123C2211yescharacteristic
176C2×#14579123C2211yescharacteristic
177C2×#14579123C2211yescharacteristic
178C2×C4×C22⋊D79C2211yescharacteristic
179C2×C4×C22⋊D79C2211yescharacteristic
180C2×C4×C22⋊D79C2211yescharacteristic
181C2×C4×C22⋊D79C2211yescharacteristic
182C2×C4×C22⋊D79C2211yescharacteristic
183C2×(C22⋊D79)⋊C4C2211yescharacteristic
184C2×(C22⋊D79)⋊C4C2211yescharacteristic
185C2×(C22⋊D79)⋊C4C2211yescharacteristic
186C2×(C22⋊D79)⋊C4C2211yescharacteristic
187C2×(C22⋊D79)⋊C4C2211yescharacteristic
188C2×#14579119C2211yescharacteristic
189C2×#14579119C2211yescharacteristic
190C2×#14579119C2211yescharacteristic
191C2×#14579118C2211yescharacteristic
192C2×#14579118C2211yescharacteristic
193C2×#14579118C2211yescharacteristic
194C2×#14579118C2211yescharacteristic
195C2×#14579118C2211yescharacteristic
196C2×#14579117C2211yescharacteristic
197C22×Dic79⋊C4C2211yescharacteristic
198C2×C4⋊C4×D79C2211yescharacteristic
199C2×C4⋊C4×D79C2211yescharacteristic
200C2×C4⋊C4×D79C2211yescharacteristic
201C2×C4⋊C4×D79C2211yescharacteristic
202C2×C42×D79C2211yescharacteristic
203#552×C79C22116yescomplemented
204C2×#126×C79C2211yescharacteristic
205C2×#126×C79C2211yescharacteristic
206C2×#125×C79C2211yescharacteristic
207C2×#125×C79C2211yescharacteristic
208C2×#125×C79C2211yescharacteristic
209C2×#123×C79C2211yescharacteristic
210C2×#123×C79C2211yescharacteristic
211C2×C22⋊Q8×C79C2211yescharacteristic
212C2×C22⋊Q8×C79C2211yescharacteristic
213C2×C4×Q8×C79C2211yescharacteristic
214C2×C4×D4×C79C2211yescharacteristic
215C2×#117×C79C2211yescharacteristic
216C2×#117×C79C2211yescharacteristic
217C2×#117×C79C2211yescharacteristic
218C22×C4⋊C4×C79C2211yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×D316C2311yescharacteristic
223C22×D316C2311yescharacteristic
224C22×D316C2311yescharacteristic
225C22×D316C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C22×D316C2311yescharacteristic
228C22×D316C2311yescharacteristic
229C22×D316C2311yescharacteristic
230C22×D316C2311yescharacteristic
231C22×C22⋊D79C2311yescharacteristic
232C22×C22⋊D79C2311yescharacteristic
233C22×C22⋊D79C2311yescharacteristic
234C22×C22⋊D79C2311yescharacteristic
235C22×C22⋊D79C2311yescharacteristic
236C22×C22⋊D79C2311yescharacteristic
237C22×C22⋊D79C2311yescharacteristic
238C22×C22⋊D79C2311yescharacteristic
239C22×C22⋊D79C2311yescharacteristic
240C22×C22⋊D79C2311yescharacteristic
241C23×Dic79C2311yescharacteristic
242C23×Dic79C2311yescharacteristic
243C22×C4×D79C2311yescharacteristic
244C22×C4×D79C2311yescharacteristic
245C22×C4×D79C2311yescharacteristic
246C22×C4×D79C2311yescharacteristic
247C22×C4×D79C2311yescharacteristic
248C22×C4×D79C2311yescharacteristic
249C22×C4×D79C2311yescharacteristic
250C22×C4×D79C2311yescharacteristic
251C22×C4×D79C2311yescharacteristic
252C22×C4×D79C2311yescharacteristic
253C22×C4×D79C2311yescharacteristic
254C22×C4×D79C2311yescharacteristic
255C22×C4×D79C2311yescharacteristic
256C22×C4×D79C2311yescharacteristic
257C22×C4×D79C2311yescharacteristic
258#14579158C2318yes—
259#14579157C2318yes—
260#14579156C2318yes—
261#14579156C2318yes—
262#14579156C2318yes—
263#14579156C2318yes—
264#14579156C2318yes—
265#14579156C2318yes—
266#14579156C2318yes—
267#14579155C2318yes—
268#14579155C2318yes—
269#14579155C2318yes—
270#14579154C2318yes—
271#14579154C2318yes—
272#14579153C2318yes—
273#14579153C2318yes—
274#14579153C2318yes—
275#14579152C2318yes—
276#14579152C2318yes—
277#14579152C2318yes—
278#14579152C2318yes—
279#14579152C2318yes—
280#14579151C2318yes—
281#14579151C2318yes—
282#14579151C2318yes—
283#14579151C2318yes—
284#14579151C2318yes—
285#14579151C2318yes—
286#14579151C2318yes—
287#14579151C2318yes—
288#14579151C2318yes—
289#14579151C2318yes—
290#14579150C2318yes—
291#14579147C2318yes—
292#14579147C2318yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579146C2318yes—
296#14579146C2318yes—
297#14579146C2318yes—
298#14579146C2318yes—
299#14579146C2318yes—
300#14579146C2318yes—
301#14579146C2318yes—
302#14579146C2318yes—
303#14579146C2318yes—
304#14579146C2318yes—
305#14579146C2318yes—
306#14579146C2318yes—
307#14579146C2318yes—
308#14579146C2318yes—
309#14579145C2318yes—
310#14579145C2318yes—
311#14579145C2318yes—
312#14579144C2318yes—
313#14579144C2318yes—
314#14579144C2318yes—
315#14579143C2318yes—
316#14579143C2318yes—
317#14579143C2318yes—
318#14579143C2318yes—
319#14579143C2318yes—
320#14579143C2318yes—
321#14579141C2318yes—
322#14579141C2318yes—
323#14579141C2318yes—
324#14579140C2318yes—
325#14579139C2318yes—
326#14579139C2318yes—
327#14579139C2318yes—
328#14579139C2318yes—
329#14579139C2318yes—
330#14579138C2318yes—
331#14579137C2318yes—
332#14579137C2318yes—
333#14579137C2318yes—
334#14579136C2318yes—
335#14579136C2318yes—
336#14579136C2318yes—
337#14579136C2318yes—
338#14579136C2318yes—
339#14579136C2318yes—
340#14579135C2318yes—
341#14579135C2318yes—
342#14579135C2318yes—
343#14579135C2318yes—
344#14579135C2318yes—
345#14579135C2318yes—
346#14579134C2318yes—
347#14579134C2318yes—
348#14579134C2318yes—
349#14579134C2318yes—
350#14579134C2318yes—
351#14579134C2318yes—
352#14579134C2318yes—
353#14579134C2318yes—
354#14579134C2318yes—
355#14579134C2318yes—
356#14579134C2318yes—
357#14579134C2318yes—
358#14579133C2318yes—
359#14579133C2318yes—
360#14579132C2318yes—
361C4×Dic158C2318yes—
362#14579126C2318yes—
363C4×D316C2318yes—
364C4×D316C2318yes—
365C4×D316C2318yes—
366C4×D316C2318yes—
367C4×D316C2318yes—
368C4×D316C2318yes—
369#14579123C2318yes—
370#14579123C2318yes—
371#14579123C2318yes—
372#14579123C2318yes—
373C4×C22⋊D79C2318yes—
374C4×C22⋊D79C2318yes—
375C4×C22⋊D79C2318yes—
376C4×C22⋊D79C2318yes—
377C4×C22⋊D79C2318yes—
378(C22⋊D79)⋊C4C2318yes—
379(C22⋊D79)⋊C4C2318yes—
380(C22⋊D79)⋊C4C2318yes—
381(C22⋊D79)⋊C4C2318yes—
382(C22⋊D79)⋊C4C2318yes—
383#14579119C2318yes—
384#14579119C2318yes—
385#14579119C2318yes—
386#14579118C2318yes—
387#14579118C2318yes—
388#14579118C2318yes—
389#14579118C2318yes—
390#14579118C2318yes—
391#14579117C2318yes—
392C2×C4⋊Dic79C2311yescharacteristic
393C2×C4⋊Dic79C2311yescharacteristic
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2311yescharacteristic
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×C4⋊Dic79C2311yescharacteristic
401C2×C4⋊Dic79C2311yescharacteristic
402C2×C4⋊Dic79C2311yescharacteristic
403C2×C4⋊Dic79C2311yescharacteristic
404C2×Dic79⋊C4C2318yes—
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
431C4⋊C4×D79C2318yes—
432C4⋊C4×D79C2318yes—
433C4⋊C4×D79C2318yes—
434C4⋊C4×D79C2318yes—
435C2×C22⋊Dic79C2311yescharacteristic
436C2×C22⋊Dic79C2311yescharacteristic
437C2×C22⋊Dic79C2311yescharacteristic
438C2×C22⋊Dic79C2311yescharacteristic
439C2×(C2×D79)⋊C4C2311yescharacteristic
440C2×(C2×D79)⋊C4C2311yescharacteristic
441C2×(C2×D79)⋊C4C2311yescharacteristic
442C2×(C2×D79)⋊C4C2311yescharacteristic
443C2×(C2×D79)⋊C4C2311yescharacteristic
444C2×(C2×D79)⋊C4C2311yescharacteristic
445C2×(C2×D79)⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
463C2×(C2×D79)⋊C4C2311yescharacteristic
464C2×(C2×D79)⋊C4C2311yescharacteristic
465C2×(C2×D79)⋊C4C2311yescharacteristic
466C2×(C2×D79)⋊C4C2311yescharacteristic
467C2×(C2×D79)⋊C4C2311yescharacteristic
468C2×(C2×D79)⋊C4C2311yescharacteristic
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×D4×C79C2311yescharacteristic
481C23×C4×C79C2311yescharacteristic
482C23×C4×C79C2311yescharacteristic
483C23×C4×C79C2311yescharacteristic
484C23×C4×C79C2311yescharacteristic
485#126×C79C2318yes—
486#126×C79C2318yes—
487#125×C79C2318yes—
488#125×C79C2318yes—
489#125×C79C2318yes—
490#123×C79C2318yes—
491#123×C79C2318yes—
492C22⋊Q8×C79C2318yes—
493C22⋊Q8×C79C2318yes—
494C4×Q8×C79C2318yes—
495C4×D4×C79C2318yes—
496#117×C79C2318yes—
497#117×C79C2318yes—
498#117×C79C2318yes—
499C2×C4⋊C4×C79C2318yes—
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×C22⋊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×C22⋊C4×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C23×D79C2411yescharacteristic
530C23×D79C2411yescharacteristic
531C23×D79C2411yescharacteristic
532C23×D79C2411yescharacteristic
533C23×D79C2411yescharacteristic
534C2×Dic158—42no—
535C2×Dic158—42no—
536C2×Dic158C2414yes—
537C2×Dic158C2414yes—
538C2×D316—42no—
539C2×D316—42no—
540C2×D316—42no—
541C2×D316—42no—
542C2×D316—42no—
543C2×D316—42no—
544C2×D316—42no—
545C2×D316—42no—
546C2×D316—42no—
547C2×D316—42no—
548C2×D316C2414yes—
549C2×D316C2414yes—
550C2×D316C2414yes—
551C2×D316C2414yes—
552C2×D316C2414yes—
553C2×D316C2414yes—
554C2×D316C2414yes—
555C2×D316C2414yes—
556C2×D316C2414yes—
557C2×D316C2414yes—
558C2×C22⋊D79—42no—
559C2×C22⋊D79—42no—
560C2×C22⋊D79—42no—
561C2×C22⋊D79—42no—
562C2×C22⋊D79—42no—
563C2×C22⋊D79—42no—
564C2×C22⋊D79—42no—
565C2×C22⋊D79—42no—
566C2×C22⋊D79—42no—
567C2×C22⋊D79—42no—
568C2×C22⋊D79C2414yes—
569C2×C22⋊D79C2414yes—
570C2×C22⋊D79C2414yes—
571C2×C22⋊D79C2414yes—
572C2×C22⋊D79C2414yes—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2414yes—
575C2×C22⋊D79C2414yes—
576C2×C22⋊D79C2414yes—
577C2×C22⋊D79C2414yes—
578C22×Dic79—42no—
579C22×Dic79—42no—
580C22×Dic79C2411yescharacteristic
581C22×Dic79C2411yescharacteristic
582C22×Dic79C2411yescharacteristic
583C22×Dic79C2411yescharacteristic
584C22×Dic79C2411yescharacteristic
585C22×Dic79C2411yescharacteristic
586C22×Dic79C2411yescharacteristic
587C22×Dic79C2411yescharacteristic
588C22×Dic79C2411yescharacteristic
589C22×Dic79C2411yescharacteristic
590C22×Dic79C2411yescharacteristic
591C22×Dic79C2414yes—
592C22×Dic79C2414yes—
593C2×C4×D79—42no—
594C2×C4×D79—42no—
595C2×C4×D79—42no—
596C2×C4×D79—42no—
597C2×C4×D79—42no—
598C2×C4×D79—42no—
599C2×C4×D79—42no—
600C2×C4×D79—42no—
601C2×C4×D79—42no—
602C2×C4×D79—42no—
603C2×C4×D79—42no—
604C2×C4×D79—42no—
605C2×C4×D79—42no—
606C2×C4×D79—42no—
607C2×C4×D79—42no—
608C2×C4×D79C2414yes—
609C2×C4×D79C2414yes—
610C2×C4×D79C2414yes—
611C2×C4×D79C2414yes—
612C2×C4×D79C2414yes—
613C2×C4×D79C2414yes—
614C2×C4×D79C2414yes—
615C2×C4×D79C2414yes—
616C2×C4×D79C2414yes—
617C2×C4×D79C2414yes—
618C2×C4×D79C2414yes—
619C2×C4×D79C2414yes—
620C2×C4×D79C2414yes—
621C2×C4×D79C2414yes—
622C2×C4×D79C2414yes—
623C4⋊Dic79C2414yes—
624C4⋊Dic79C2414yes—
625C4⋊Dic79C2414yes—
626C4⋊Dic79C2414yes—
627C4⋊Dic79C2414yes—
628C4⋊Dic79C2414yes—
629C4⋊Dic79C2414yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
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—
651Dic79⋊C4C2414yes—
652Dic79⋊C4C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661C22⋊Dic79C2414yes—
662C22⋊Dic79C2414yes—
663C22⋊Dic79C2414yes—
664C22⋊Dic79C2414yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2414yes—
670(C2×D79)⋊C4C2414yes—
671(C2×D79)⋊C4C2414yes—
672(C2×D79)⋊C4C2414yes—
673(C2×D79)⋊C4C2414yes—
674(C2×D79)⋊C4C2414yes—
675(C2×D79)⋊C4C2414yes—
676(C2×D79)⋊C4C2414yes—
677(C2×D79)⋊C4C2414yes—
678(C2×D79)⋊C4C2414yes—
679(C2×D79)⋊C4C2414yes—
680(C2×D79)⋊C4C2414yes—
681(C2×D79)⋊C4C2414yes—
682(C2×D79)⋊C4C2414yes—
683(C2×D79)⋊C4C2414yes—
684(C2×D79)⋊C4C2414yes—
685(C2×D79)⋊C4C2414yes—
686(C2×D79)⋊C4C2414yes—
687(C2×D79)⋊C4C2414yes—
688(C2×D79)⋊C4C2414yes—
689(C2×D79)⋊C4C2414yes—
690(C2×D79)⋊C4C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695C4×Dic79C2414yes—
696C4×Dic79C2414yes—
697C4×Dic79C2414yes—
698C4×Dic79C2414yes—
699C4×Dic79C2414yes—
700C4×Dic79C2414yes—
701C4×Dic79C2414yes—
702C4×Dic79C2414yes—
703C4×Dic79C2414yes—
704C24×C79C2411yescharacteristic
705C24×C79C2411yescharacteristic
706C2×Q8×C79—42no—
707C2×Q8×C79C2414yes—
708C2×D4×C79—42no—
709C2×D4×C79C2414yes—
710C22×C4×C79—42no—
711C22×C4×C79—42no—
712C22×C4×C79—42no—
713C22×C4×C79—42no—
714C22×C4×C79C2411yescharacteristic
715C22×C4×C79C2411yescharacteristic
716C22×C4×C79C2411yescharacteristic
717C22×C4×C79C2411yescharacteristic
718C22×C4×C79C2411yescharacteristic
719C22×C4×C79C2411yescharacteristic
720C22×C4×C79C2411yescharacteristic
721C22×C4×C79C2411yescharacteristic
722C22×C4×C79C2411yescharacteristic
723C22×C4×C79C2411yescharacteristic
724C22×C4×C79C2411yescharacteristic
725C22×C4×C79C2411yescharacteristic
726C22×C4×C79C2411yescharacteristic
727C22×C4×C79C2414yes—
728C22×C4×C79C2414yes—
729C22×C4×C79C2414yes—
730C22×C4×C79C2414yes—
731C4⋊C4×C79C2414yes—
732C4⋊C4×C79C2414yes—
733C4⋊C4×C79C2414yes—
734C4⋊C4×C79C2414yes—
735C4⋊C4×C79C2414yes—
736C4⋊C4×C79C2414yes—
737C4⋊C4×C79C2414yes—
738C4⋊C4×C79C2414yes—
739C4⋊C4×C79C2414yes—
740C4⋊C4×C79C2414yes—
741C4⋊C4×C79C2414yes—
742C4⋊C4×C79C2414yes—
743C4⋊C4×C79C2414yes—
744C4⋊C4×C79C2414yes—
745C4⋊C4×C79C2414yes—
746C4⋊C4×C79C2414yes—
747C22⋊C4×C79C2414yes—
748C22⋊C4×C79C2414yes—
749C22⋊C4×C79C2414yes—
750C22⋊C4×C79C2414yes—
751C22⋊C4×C79C2414yes—
752C22⋊C4×C79C2414yes—
753C22⋊C4×C79C2414yes—
754C22⋊C4×C79C2414yes—
755C42×C79C2414yes—
756C42×C79C2414yes—
757C42×C79C2414yes—
758C42×C79C2414yes—
759C42×C79C2414yes—
760C23×C79—22no—
761C23×C79—22no—
762C23×C79—22no—
763C23×C79—22no—
764C23×C79—22no—
765C23×C79—22no—
766C23×C79C2512yes—
767C23×C79C2512yes—
768C23×C79C2511yescharacteristic
769C22×D79—22no—
770C22×D79—22no—
771C22×D79—22no—
772C22×D79—22no—
773C22×D79—22no—
774C22×D79—22no—
775C22×D79—22no—
776C22×D79—22no—
777C22×D79—22no—
778C22×D79—22no—
779C22×D79—22no—
780C22×D79—22no—
781C22×D79—22no—
782C22×D79—22no—
783C22×D79—22no—
784C22×D79C2512yes—
785C22×D79C2512yes—
786C22×D79C2512yes—
787C22×D79C2512yes—
788C22×D79C2512yes—
789Q8×C79—44no—
790D4×C79—44no—
791C2×C4×C79—22no—
792C2×C4×C79—22no—
793C2×C4×C79—22no—
794C2×C4×C79—22no—
795C2×C4×C79—22no—
796C2×C4×C79—22no—
797C2×C4×C79—22no—
798C2×C4×C79—22no—
799C2×C4×C79—22no—
800C2×C4×C79—22no—
801C2×C4×C79—22no—
802C2×C4×C79—22no—
803C2×C4×C79—22no—
804C2×C4×C79—44no—
805C2×C4×C79—44no—
806C2×C4×C79—44no—
807C2×C4×C79—44no—
808C2×C4×C79C2512yes—
809C2×C4×C79C2512yes—
810C2×C4×C79C2512yes—
811C2×C4×C79C2512yes—
812C2×C4×C79C2512yes—
813C2×C4×C79C2512yes—
814C2×C4×C79C2512yes—
815C2×C4×C79C2512yes—
816C2×C4×C79C2512yes—
817C2×C4×C79C2512yes—
818C2×C4×C79C2512yes—
819C2×C4×C79C2512yes—
820C2×C4×C79C2512yes—
821C22⋊D79—44no—
822C22⋊D79—44no—
823C22⋊D79—44no—
824C22⋊D79—44no—
825C22⋊D79—44no—
826C22⋊D79—44no—
827C22⋊D79—44no—
828C22⋊D79—44no—
829C22⋊D79—44no—
830C22⋊D79—44no—
831C2×Dic79—22no—
832C2×Dic79—22no—
833C2×Dic79—22no—
834C2×Dic79—22no—
835C2×Dic79—22no—
836C2×Dic79—22no—
837C2×Dic79—22no—
838C2×Dic79—22no—
839C2×Dic79—22no—
840C2×Dic79—22no—
841C2×Dic79—22no—
842C2×Dic79—44no—
843C2×Dic79—44no—
844C2×Dic79C2512yes—
845C2×Dic79C2512yes—
846C2×Dic79C2512yes—
847C2×Dic79C2512yes—
848C2×Dic79C2512yes—
849C2×Dic79C2512yes—
850C2×Dic79C2512yes—
851C2×Dic79C2512yes—
852C2×Dic79C2512yes—
853C2×Dic79C2512yes—
854C2×Dic79C2512yes—
855D316—44no—
856D316—44no—
857D316—44no—
858D316—44no—
859D316—44no—
860D316—44no—
861D316—44no—
862D316—44no—
863D316—44no—
864D316—44no—
865C4×D79—44no—
866C4×D79—44no—
867C4×D79—44no—
868C4×D79—44no—
869C4×D79—44no—
870C4×D79—44no—
871C4×D79—44no—
872C4×D79—44no—
873C4×D79—44no—
874C4×D79—44no—
875C4×D79—44no—
876C4×D79—44no—
877C4×D79—44no—
878C4×D79—44no—
879C4×D79—44no—
880Dic158—44no—
881Dic158—44no—
882C22×C79—22no—
883C22×C79—22no—
884C22×C79—22no—
885C22×C79—22no—
886C22×C79—22no—
887C22×C79—22no—
888C22×C79—44no—
889C22×C79—44no—
890C22×C79#58512yes—
891C22×C79#58512yes—
892C22×C79#58512yes—
893C22×C79C2611yescharacteristic
894C2×D79—22no—
895C2×D79—22no—
896C2×D79—22no—
897C2×D79—22no—
898C2×D79—22no—
899C2×D79—22no—
900C2×D79—22no—
901C2×D79—22no—
902C2×D79—22no—
903C2×D79—22no—
904C2×D79—22no—
905C2×D79—22no—
906C2×D79—22no—
907C2×D79—22no—
908C2×D79—22no—
909C2×D79—44no—
910C2×D79—44no—
911C2×D79—44no—
912C2×D79—44no—
913C2×D79—44no—
914C4×C79—22no—
915C4×C79—22no—
916C4×C79—22no—
917C4×C79—22no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—22no—
921C4×C79—22no—
922C4×C79—22no—
923C4×C79—22no—
924C4×C79—22no—
925C4×C79—22no—
926C4×C79—22no—
927Dic79—22no—
928Dic79—22no—
929Dic79—22no—
930Dic79—22no—
931Dic79—22no—
932Dic79—22no—
933Dic79—22no—
934Dic79—22no—
935Dic79—22no—
936Dic79—22no—
937Dic79—22no—
938C2×#3567—791nomaximal, Sylow
939C2×C79—42no—
940C2×C79—42no—
941C2×C79#356714yescomplemented
942C2×C79C2×#58511yescharacteristic
943C2×C79C2×#58511yescharacteristic
944C2×C79C2×#58511yescharacteristic
945D79—42no—
946D79—42no—
947D79—42no—
948D79—42no—
949D79—42no—
950#3567—7932no—
951C2×#564—791no—
952C2×#562—791no—
953C2×#562—791no—
954C2×#562—791no—
955C2×#553—791no—
956C2×#553—791no—
957C2×#553—791no—
958C2×#553—791no—
959C2×#553—791no—
960C2×#553—791no—
961C2×#552—791no—
962C2×#552—791no—
963C2×#552—791no—
964C2×#552—791no—
965C2×#552—791no—
966C2×#552D7911yescharacteristic, complemented
967C2×#540—791no—
968C2×#540—791no—
969C2×#540—791no—
970C2×#540—791no—
971C2×#540—791no—
972C2×#540—791no—
973C2×#539—791no—
974C2×#539—791no—
975C2×#539—791no—
976C2×#539—791no—
977C2×#539—791no—
978C2×#539—791no—
979C2×#529—791no—
980C2×#529—791no—
981C2×#529—791no—
982C79C2×#356711yescharacteristic, complemented, Sylow
983#564—7916no—
984#562—7916no—
985#562—7916no—
986#562—7916no—
987#553—7916no—
988#553—7916no—
989#553—7916no—
990#553—7916no—
991#553—7916no—
992#553—7916no—
993#552—7916no—
994#552—7916no—
995#552—7916no—
996#552—7916no—
997#552—7916no—
998#552C2×D79116yescomplemented
999#540—7916no—
1000#540—7916no—
1001#540—7916no—
1002#540—7916no—
1003#540—7916no—
1004#540—7916no—
1005#539—7916no—
1006#539—7916no—
1007#539—7916no—
1008#539—7916no—
1009#539—7916no—
1010#539—7916no—
1011C2×#127—791no—
1012C2×#127—791no—
1013#529—7916no—
1014#529—7916no—
1015#529—7916no—
1016C2×#126—791no—
1017C2×#126—791no—
1018C2×#126—791no—
1019C2×#126—791no—
1020C2×#126—791no—
1021C2×#126—791no—
1022C2×#126—791no—
1023C2×#126—791no—
1024C2×#126—791no—
1025C2×#126—791no—
1026C2×#126—791no—
1027C2×#126—791no—
1028C2×#126C2×D7911yescharacteristic
1029C2×#126C2×D7911yescharacteristic
1030C2×#125—791no—
1031C2×#125—791no—
1032C2×#125—791no—
1033C2×#125—791no—
1034C2×#125—791no—
1035C2×#125—791no—
1036C2×#125—791no—
1037C2×#125—791no—
1038C2×#125—791no—
1039C2×#125—791no—
1040C2×#125—791no—
1041C2×#125—791no—
1042C2×#125—791no—
1043C2×#125—791no—
1044C2×#125—791no—
1045C2×#125—791no—
1046C2×#125—791no—
1047C2×#125—791no—
1048C2×#125C2×D7911yescharacteristic
1049C2×#125C2×D7911yescharacteristic
1050C2×#125C2×D7911yescharacteristic
1051C2×#124—791no—
1052C2×#124—791no—
1053C2×#124—791no—
1054C2×#123—791no—
1055C2×#123—791no—
1056C2×#123—791no—
1057C2×#123—791no—
1058C2×#123—791no—
1059C2×#123—791no—
1060C2×#123—791no—
1061C2×#123—791no—
1062C2×#123—791no—
1063C2×#123—791no—
1064C2×#123—791no—
1065C2×#123—791no—
1066C2×#123—791no—
1067C2×#123—791no—
1068C2×#123—791no—
1069C2×#123—791no—
1070C2×#123—791no—
1071C2×#123—791no—
1072C2×#123—791no—
1073C2×#123—791no—
1074C2×#123—791no—
1075C2×#123—791no—
1076C2×#123—791no—
1077C2×#123—791no—
1078C2×#123—791no—
1079C2×#123—791no—
1080C2×#123—791no—
1081C2×#123—791no—
1082C2×#123C2×D7911yescharacteristic
1083C2×#123C2×D7911yescharacteristic
1084C2×C22⋊Q8—791no—
1085C2×C22⋊Q8—791no—
1086C2×C22⋊Q8—791no—
1087C2×C22⋊Q8—791no—
1088C2×C22⋊Q8—791no—
1089C2×C22⋊Q8—791no—
1090C2×C22⋊Q8—791no—
1091C2×C22⋊Q8—791no—
1092C2×C22⋊Q8—791no—
1093C2×C22⋊Q8—791no—
1094C2×C22⋊Q8—791no—
1095C2×C22⋊Q8—791no—
1096C2×C22⋊Q8—791no—
1097C2×C22⋊Q8C2×D7911yescharacteristic
1098C2×C22⋊Q8C2×D7911yescharacteristic
1099C2×#121—791no—
1100C2×#121—791no—
1101C2×#121—791no—
1102C2×#121—791no—
1103C2×#121—791no—
1104C2×#121—791no—
1105C2×#121—791no—
1106C2×#121—791no—
1107C2×#121—791no—
1108C2×#121—791no—
1109C2×#121—791no—
1110C2×#121—791no—
1111C2×#121—791no—
1112C2×#121—791no—
1113C2×#121—791no—
1114C2×#121—791no—
1115C2×#121—791no—
1116C2×#121—791no—
1117C2×#121—791no—
1118C2×#121—791no—
1119C2×#121—791no—
1120C2×#121—791no—
1121C2×#121—791no—
1122C2×#121—791no—
1123C2×#121—791no—
1124C2×#121—791no—
1125C2×#121—791no—
1126C2×C4×Q8—791no—
1127C2×C4×Q8—791no—
1128C2×C4×Q8C2×D7911yescharacteristic
1129C2×C4×D4—791no—
1130C2×C4×D4—791no—
1131C2×C4×D4—791no—
1132C2×C4×D4—791no—
1133C2×C4×D4—791no—
1134C2×C4×D4—791no—
1135C2×C4×D4—791no—
1136C2×C4×D4—791no—
1137C2×C4×D4—791no—
1138C2×C4×D4—791no—
1139C2×C4×D4—791no—
1140C2×C4×D4—791no—
1141C2×C4×D4—791no—
1142C2×C4×D4—791no—
1143C2×C4×D4—791no—
1144C2×C4×D4—791no—
1145C2×C4×D4—791no—
1146C2×C4×D4—791no—
1147C2×C4×D4—791no—
1148C2×C4×D4—791no—
1149C2×C4×D4C2×D7911yescharacteristic
1150C2×#117—791no—
1151C2×#117—791no—
1152C2×#117—791no—
1153C2×#117—791no—
1154C2×#117—791no—
1155C2×#117—791no—
1156C2×#117—791no—
1157C2×#117—791no—
1158C2×#117—791no—
1159C2×#117C2×D7911yescharacteristic
1160C2×#117C2×D7911yescharacteristic
1161C2×#117C2×D7911yescharacteristic
1162C22×C4⋊C4—791no—
1163C22×C4⋊C4—791no—
1164C22×C4⋊C4—791no—
1165C22×C4⋊C4—791no—
1166C22×C4⋊C4—791no—
1167C22×C4⋊C4C2×D7911yescharacteristic
1168C22×C42—791no—
1169C22×Q8—791no—
1170C22×Q8—791no—
1171C22×Q8C22×D7911yescharacteristic
1172C22×D4—791no—
1173C22×D4—791no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—791no—
1178C22×D4—791no—
1179C22×D4—791no—
1180C22×D4—791no—
1181C22×D4—791no—
1182C22×D4—791no—
1183C22×D4—791no—
1184C22×D4—791no—
1185C22×D4—791no—
1186C22×D4—791no—
1187C22×D4—791no—
1188C22×D4—791no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4C22×D7911yescharacteristic
1193C23×C4—791no—
1194C23×C4—791no—
1195C23×C4—791no—
1196C23×C4—791no—
1197C23×C4—791no—
1198C23×C4—791no—
1199C23×C4—791no—
1200C23×C4—791no—
1201C23×C4—791no—
1202C23×C4—791no—
1203C23×C4—791no—
1204C23×C4—791no—
1205C23×C4—791no—
1206C23×C4—791no—
1207C23×C4—791no—
1208C23×C4—791no—
1209C23×C4—791no—
1210C23×C4C22×D7911yescharacteristic
1211C23×C4C22×D7911yescharacteristic
1212C23×C4C22×D7911yescharacteristic
1213C23×C4C22×D7911yescharacteristic
1214#127—798no—
1215#127—798no—
1216#126—798no—
1217#126—798no—
1218#126—798no—
1219#126—798no—
1220#126—798no—
1221#126—798no—
1222#126—798no—
1223#126—798no—
1224#126—798no—
1225#126—798no—
1226#126—798no—
1227#126—798no—
1228#126C22×D7918yes—
1229#126C22×D7918yes—
1230#125—798no—
1231#125—798no—
1232#125—798no—
1233#125—798no—
1234#125—798no—
1235#125—798no—
1236#125—798no—
1237#125—798no—
1238#125—798no—
1239#125—798no—
1240#125—798no—
1241#125—798no—
1242#125—798no—
1243#125—798no—
1244#125—798no—
1245#125—798no—
1246#125—798no—
1247#125—798no—
1248#125C22×D7918yes—
1249#125C22×D7918yes—
1250#125C22×D7918yes—
1251#124—798no—
1252#124—798no—
1253#124—798no—
1254#123—798no—
1255#123—798no—
1256#123—798no—
1257#123—798no—
1258#123—798no—
1259#123—798no—
1260#123—798no—
1261#123—798no—
1262#123—798no—
1263#123—798no—
1264#123—798no—
1265#123—798no—
1266#123—798no—
1267#123—798no—
1268#123—798no—
1269#123—798no—
1270#123—798no—
1271#123—798no—
1272#123—798no—
1273#123—798no—
1274#123—798no—
1275#123—798no—
1276#123—798no—
1277#123—798no—
1278#123—798no—
1279#123—798no—
1280#123—798no—
1281#123—798no—
1282#123C22×D7918yes—
1283#123C22×D7918yes—
1284C22⋊Q8—798no—
1285C22⋊Q8—798no—
1286C22⋊Q8—798no—
1287C22⋊Q8—798no—
1288C22⋊Q8—798no—
1289C22⋊Q8—798no—
1290C22⋊Q8—798no—
1291C22⋊Q8—798no—
1292C22⋊Q8—798no—
1293C22⋊Q8—798no—
1294C22⋊Q8—798no—
1295C22⋊Q8—798no—
1296C22⋊Q8—798no—
1297C22⋊Q8C22×D7918yes—
1298C22⋊Q8C22×D7918yes—
1299#121—798no—
1300#121—798no—
1301#121—798no—
1302#121—798no—
1303#121—798no—
1304#121—798no—
1305#121—798no—
1306#121—798no—
1307#121—798no—
1308#121—798no—
1309#121—798no—
1310#121—798no—
1311#121—798no—
1312#121—798no—
1313#121—798no—
1314#121—798no—
1315#121—798no—
1316#121—798no—
1317#121—798no—
1318#121—798no—
1319#121—798no—
1320#121—798no—
1321#121—798no—
1322#121—798no—
1323#121—798no—
1324#121—798no—
1325#121—798no—
1326C4×Q8—798no—
1327C4×Q8—798no—
1328C4×Q8C22×D7918yes—
1329C4×D4—798no—
1330C4×D4—798no—
1331C4×D4—798no—
1332C4×D4—798no—
1333C4×D4—798no—
1334C4×D4—798no—
1335C4×D4—798no—
1336C4×D4—798no—
1337C4×D4—798no—
1338C4×D4—798no—
1339C4×D4—798no—
1340C4×D4—798no—
1341C4×D4—798no—
1342C4×D4—798no—
1343C4×D4—798no—
1344C4×D4—798no—
1345C4×D4—798no—
1346C4×D4—798no—
1347C4×D4—798no—
1348C4×D4—798no—
1349C4×D4C22×D7918yes—
1350#117—798no—
1351#117—798no—
1352#117—798no—
1353#117—798no—
1354#117—798no—
1355#117—798no—
1356#117—798no—
1357#117—798no—
1358#117—798no—
1359#117C22×D7918yes—
1360#117C22×D7918yes—
1361#117C22×D7918yes—
1362C2×C4⋊C4—791no—
1363C2×C4⋊C4—791no—
1364C2×C4⋊C4—791no—
1365C2×C4⋊C4—791no—
1366C2×C4⋊C4—791no—
1367C2×C4⋊C4—791no—
1368C2×C4⋊C4—791no—
1369C2×C4⋊C4—791no—
1370C2×C4⋊C4—791no—
1371C2×C4⋊C4—791no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—791no—
1374C2×C4⋊C4—791no—
1375C2×C4⋊C4—791no—
1376C2×C4⋊C4—791no—
1377C2×C4⋊C4—791no—
1378C2×C4⋊C4—798no—
1379C2×C4⋊C4—791no—
1380C2×C4⋊C4—791no—
1381C2×C4⋊C4—791no—
1382C2×C4⋊C4—791no—
1383C2×C4⋊C4—791no—
1384C2×C4⋊C4—791no—
1385C2×C4⋊C4—791no—
1386C2×C4⋊C4—791no—
1387C2×C4⋊C4—791no—
1388C2×C4⋊C4—791no—
1389C2×C4⋊C4—791no—
1390C2×C4⋊C4—791no—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—791no—
1393C2×C4⋊C4—791no—
1394C2×C4⋊C4—791no—
1395C2×C4⋊C4—791no—
1396C2×C4⋊C4—791no—
1397C2×C4⋊C4—791no—
1398C2×C4⋊C4—791no—
1399C2×C4⋊C4—791no—
1400C2×C4⋊C4—791no—
1401C2×C4⋊C4—798no—
1402C2×C4⋊C4—798no—
1403C2×C4⋊C4—798no—
1404C2×C4⋊C4—798no—
1405C2×C4⋊C4C22×D7911yescharacteristic
1406C2×C4⋊C4C22×D7911yescharacteristic
1407C2×C4⋊C4C22×D7911yescharacteristic
1408C2×C4⋊C4C22×D7911yescharacteristic
1409C2×C4⋊C4C22×D7911yescharacteristic
1410C2×C4⋊C4C22×D7911yescharacteristic
1411C2×C4⋊C4C22×D7911yescharacteristic
1412C2×C4⋊C4C22×D7911yescharacteristic
1413C2×C4⋊C4C22×D7918yes—
1414C2×C4⋊C4C22×D7911yescharacteristic
1415C2×C4⋊C4C22×D7911yescharacteristic
1416C2×C4⋊C4C22×D7911yescharacteristic
1417C2×C4⋊C4C22×D7911yescharacteristic
1418C2×C4⋊C4C22×D7911yescharacteristic
1419C2×C4⋊C4C22×D7911yescharacteristic
1420C2×C4⋊C4C22×D7911yescharacteristic
1421C2×C4⋊C4C22×D7911yescharacteristic
1422C2×C22⋊C4—791no—
1423C2×C22⋊C4—791no—
1424C2×C22⋊C4—791no—
1425C2×C22⋊C4—791no—
1426C2×C22⋊C4—791no—
1427C2×C22⋊C4—791no—
1428C2×C22⋊C4—791no—
1429C2×C22⋊C4—791no—
1430C2×C22⋊C4—791no—
1431C2×C22⋊C4—791no—
1432C2×C22⋊C4—791no—
1433C2×C22⋊C4—791no—
1434C2×C22⋊C4—791no—
1435C2×C22⋊C4—791no—
1436C2×C22⋊C4—791no—
1437C2×C22⋊C4—791no—
1438C2×C22⋊C4—791no—
1439C2×C22⋊C4—791no—
1440C2×C22⋊C4—791no—
1441C2×C22⋊C4—791no—
1442C2×C22⋊C4—791no—
1443C2×C22⋊C4—791no—
1444C2×C22⋊C4—791no—
1445C2×C22⋊C4—791no—
1446C2×C22⋊C4—791no—
1447C2×C22⋊C4—791no—
1448C2×C22⋊C4—791no—
1449C2×C22⋊C4—791no—
1450C2×C22⋊C4—791no—
1451C2×C22⋊C4—791no—
1452C2×C22⋊C4—791no—
1453C2×C22⋊C4—791no—
1454C2×C22⋊C4—791no—
1455C2×C22⋊C4—791no—
1456C2×C22⋊C4C22×D7911yescharacteristic
1457C2×C22⋊C4C22×D7911yescharacteristic
1458C2×C22⋊C4C22×D7911yescharacteristic
1459C2×C22⋊C4C22×D7911yescharacteristic
1460C2×C22⋊C4C22×D7911yescharacteristic
1461C2×C22⋊C4C22×D7911yescharacteristic
1462C2×C22⋊C4C22×D7911yescharacteristic
1463C2×C22⋊C4C22×D7911yescharacteristic
1464C2×C42—791no—
1465C2×C42—791no—
1466C2×C42—791no—
1467C2×C42—791no—
1468C2×C42—791no—
1469C2×C42—791no—
1470C2×C42—791no—
1471C2×C42—791no—
1472C2×C42—791no—
1473C2×C42—798no—
1474C2×C42C22×D7911yescharacteristic
1475C2×C42C22×D7911yescharacteristic
1476C2×C42C22×D7911yescharacteristic
1477C2×C42C22×D7911yescharacteristic
1478C2×C42C22×D7911yescharacteristic
1479C24—791no—
1480C24—791no—
1481C24—791no—
1482C24—791no—
1483C24—791no—
1484C24C23×D7911yescharacteristic
1485C24C23×D7911yescharacteristic
1486C2×Q8—42no—
1487C2×Q8—3162no—
1488C2×Q8—3162no—
1489C2×Q8—794no—
1490C2×Q8—794no—
1491C2×Q8C23×D7914yes—
1492C2×D4—42no—
1493C2×D4—3162no—
1494C2×D4—3162no—
1495C2×D4—3162no—
1496C2×D4—3162no—
1497C2×D4—3162no—
1498C2×D4—3162no—
1499C2×D4—3162no—
1500C2×D4—3162no—
1501C2×D4—3162no—
1502C2×D4—3162no—
1503C2×D4—3162no—
1504C2×D4—3162no—
1505C2×D4—3162no—
1506C2×D4—3162no—
1507C2×D4—3162no—
1508C2×D4—3162no—
1509C2×D4—3162no—
1510C2×D4—3162no—
1511C2×D4—3162no—
1512C2×D4—3162no—
1513C2×D4—794no—
1514C2×D4—794no—
1515C2×D4—794no—
1516C2×D4—794no—
1517C2×D4—794no—
1518C2×D4—794no—
1519C2×D4—794no—
1520C2×D4—794no—
1521C2×D4—794no—
1522C2×D4—794no—
1523C2×D4—794no—
1524C2×D4—794no—
1525C2×D4—794no—
1526C2×D4—794no—
1527C2×D4—794no—
1528C2×D4—794no—
1529C2×D4—794no—
1530C2×D4—794no—
1531C2×D4—794no—
1532C2×D4—794no—
1533C2×D4C23×D7914yes—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—3162no—
1539C22×C4—3162no—
1540C22×C4—3162no—
1541C22×C4—3162no—
1542C22×C4—3162no—
1543C22×C4—3162no—
1544C22×C4—3162no—
1545C22×C4—3162no—
1546C22×C4—3162no—
1547C22×C4—3162no—
1548C22×C4—3162no—
1549C22×C4—3162no—
1550C22×C4—3162no—
1551C22×C4—3162no—
1552C22×C4—3162no—
1553C22×C4—3162no—
1554C22×C4—3162no—
1555C22×C4—794no—
1556C22×C4—794no—
1557C22×C4—794no—
1558C22×C4—794no—
1559C22×C4—794no—
1560C22×C4—794no—
1561C22×C4—794no—
1562C22×C4—794no—
1563C22×C4—794no—
1564C22×C4—794no—
1565C22×C4—794no—
1566C22×C4—794no—
1567C22×C4—794no—
1568C22×C4—794no—
1569C22×C4—794no—
1570C22×C4—794no—
1571C22×C4—794no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—791no—
1575C22×C4—791no—
1576C22×C4—791no—
1577C22×C4—791no—
1578C22×C4—791no—
1579C22×C4—791no—
1580C22×C4—791no—
1581C22×C4—791no—
1582C22×C4—791no—
1583C22×C4C23×D7911yescharacteristic
1584C22×C4C23×D7911yescharacteristic
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587C22×C4C23×D7911yescharacteristic
1588C22×C4C23×D7911yescharacteristic
1589C22×C4C23×D7911yescharacteristic
1590C22×C4C23×D7911yescharacteristic
1591C22×C4C23×D7911yescharacteristic
1592C22×C4C23×D7911yescharacteristic
1593C22×C4C23×D7911yescharacteristic
1594C22×C4C23×D7911yescharacteristic
1595C22×C4C23×D7911yescharacteristic
1596C22×C4C23×D7914yes—
1597C22×C4C23×D7914yes—
1598C22×C4C23×D7914yes—
1599C22×C4C23×D7914yes—
1600C4⋊C4—794no—
1601C4⋊C4—794no—
1602C4⋊C4—794no—
1603C4⋊C4—794no—
1604C4⋊C4—794no—
1605C4⋊C4—794no—
1606C4⋊C4—794no—
1607C4⋊C4—794no—
1608C4⋊C4—794no—
1609C4⋊C4—794no—
1610C4⋊C4—794no—
1611C4⋊C4—794no—
1612C4⋊C4—794no—
1613C4⋊C4—794no—
1614C4⋊C4—794no—
1615C4⋊C4—794no—
1616C4⋊C4—794no—
1617C4⋊C4—794no—
1618C4⋊C4—794no—
1619C4⋊C4—794no—
1620C4⋊C4—794no—
1621C4⋊C4—794no—
1622C4⋊C4—794no—
1623C4⋊C4—794no—
1624C4⋊C4—794no—
1625C4⋊C4—794no—
1626C4⋊C4—794no—
1627C4⋊C4—794no—
1628C4⋊C4—794no—
1629C4⋊C4—794no—
1630C4⋊C4—794no—
1631C4⋊C4—794no—
1632C4⋊C4—794no—
1633C4⋊C4—794no—
1634C4⋊C4—794no—
1635C4⋊C4—794no—
1636C4⋊C4—794no—
1637C4⋊C4—794no—
1638C4⋊C4C23×D7914yes—
1639C4⋊C4C23×D7914yes—
1640C4⋊C4C23×D7914yes—
1641C4⋊C4C23×D7914yes—
1642C4⋊C4C23×D7914yes—
1643C4⋊C4C23×D7914yes—
1644C4⋊C4C23×D7914yes—
1645C4⋊C4C23×D7914yes—
1646C4⋊C4C23×D7914yes—
1647C4⋊C4C23×D7914yes—
1648C4⋊C4C23×D7914yes—
1649C4⋊C4C23×D7914yes—
1650C4⋊C4C23×D7914yes—
1651C4⋊C4C23×D7914yes—
1652C4⋊C4C23×D7914yes—
1653C4⋊C4C23×D7914yes—
1654C22⋊C4—794no—
1655C22⋊C4—794no—
1656C22⋊C4—794no—
1657C22⋊C4—794no—
1658C22⋊C4—794no—
1659C22⋊C4—794no—
1660C22⋊C4—794no—
1661C22⋊C4—794no—
1662C22⋊C4—794no—
1663C22⋊C4—794no—
1664C22⋊C4—794no—
1665C22⋊C4—794no—
1666C22⋊C4—794no—
1667C22⋊C4—794no—
1668C22⋊C4—794no—
1669C22⋊C4—794no—
1670C22⋊C4—794no—
1671C22⋊C4—794no—
1672C22⋊C4—794no—
1673C22⋊C4—794no—
1674C22⋊C4—794no—
1675C22⋊C4—794no—
1676C22⋊C4—794no—
1677C22⋊C4—794no—
1678C22⋊C4—794no—
1679C22⋊C4—794no—
1680C22⋊C4—794no—
1681C22⋊C4—794no—
1682C22⋊C4—794no—
1683C22⋊C4—794no—
1684C22⋊C4—794no—
1685C22⋊C4—794no—
1686C22⋊C4—794no—
1687C22⋊C4—794no—
1688C22⋊C4C23×D7914yes—
1689C22⋊C4C23×D7914yes—
1690C22⋊C4C23×D7914yes—
1691C22⋊C4C23×D7914yes—
1692C22⋊C4C23×D7914yes—
1693C22⋊C4C23×D7914yes—
1694C22⋊C4C23×D7914yes—
1695C22⋊C4C23×D7914yes—
1696C42—794no—
1697C42—794no—
1698C42—794no—
1699C42—794no—
1700C42—794no—
1701C42—794no—
1702C42—794no—
1703C42—794no—
1704C42—794no—
1705C42C23×D7914yes—
1706C42C23×D7914yes—
1707C42C23×D7914yes—
1708C42C23×D7914yes—
1709C42C23×D7914yes—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—792no—
1717C23—792no—
1718C23—792no—
1719C23—792no—
1720C23—792no—
1721C23—1582no—
1722C23—1582no—
1723C23—1582no—
1724C23—1582no—
1725C23—1582no—
1726C23—1582no—
1727C23—1582no—
1728C23—1582no—
1729C23—1582no—
1730C23—1582no—
1731C23—1582no—
1732C23—1582no—
1733C23—1582no—
1734C23—1582no—
1735C23—1582no—
1736C23C24×D7912yes—
1737C23C24×D7912yes—
1738C23C24×D7911yescharacteristic
1739Q8—44no—
1740Q8—3164no—
1741Q8—3164no—
1742D4—44no—
1743D4—3164no—
1744D4—3164no—
1745D4—3164no—
1746D4—3164no—
1747D4—3164no—
1748D4—3164no—
1749D4—3164no—
1750D4—3164no—
1751D4—3164no—
1752D4—3164no—
1753D4—3164no—
1754D4—3164no—
1755D4—3164no—
1756D4—3164no—
1757D4—3164no—
1758D4—3164no—
1759D4—3164no—
1760D4—3164no—
1761D4—3164no—
1762D4—3164no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—3164no—
1781C2×C4—3164no—
1782C2×C4—3164no—
1783C2×C4—3164no—
1784C2×C4—3164no—
1785C2×C4—3164no—
1786C2×C4—3164no—
1787C2×C4—3164no—
1788C2×C4—3164no—
1789C2×C4—3164no—
1790C2×C4—3164no—
1791C2×C4—3164no—
1792C2×C4—3164no—
1793C2×C4—3164no—
1794C2×C4—3164no—
1795C2×C4—3164no—
1796C2×C4—3164no—
1797C2×C4—792no—
1798C2×C4—792no—
1799C2×C4—792no—
1800C2×C4—792no—
1801C2×C4—792no—
1802C2×C4—792no—
1803C2×C4—792no—
1804C2×C4—792no—
1805C2×C4—792no—
1806C2×C4—792no—
1807C2×C4—792no—
1808C2×C4—1582no—
1809C2×C4—1582no—
1810C2×C4—1582no—
1811C2×C4—1582no—
1812C2×C4—1582no—
1813C2×C4—1582no—
1814C2×C4—1582no—
1815C2×C4—1582no—
1816C2×C4—1582no—
1817C2×C4—1582no—
1818C2×C4—1582no—
1819C2×C4C24×D7912yes—
1820C2×C4C24×D7912yes—
1821C2×C4C24×D7912yes—
1822C2×C4C24×D7912yes—
1823C2×C4C24×D7912yes—
1824C2×C4C24×D7912yes—
1825C2×C4C24×D7912yes—
1826C2×C4C24×D7912yes—
1827C2×C4C24×D7912yes—
1828C2×C4C24×D7912yes—
1829C2×C4C24×D7912yes—
1830C2×C4C24×D7912yes—
1831C2×C4C24×D7912yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—44no—
1839C22—44no—
1840C22—3164no—
1841C22—3164no—
1842C22—3164no—
1843C22—3164no—
1844C22—3164no—
1845C22—1582no—
1846C22—1582no—
1847C22—1582no—
1848C22—1582no—
1849C22—1582no—
1850C22—1582no—
1851C22—1582no—
1852C22—1582no—
1853C22—1582no—
1854C22—1582no—
1855C22—1582no—
1856C22—1582no—
1857C22—1582no—
1858C22—1582no—
1859C22—1582no—
1860C22#1909939912yes—
1861C22#1909939912yes—
1862C22#1909940012yes—
1863C22C25×D7911yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—1582no—
1878C4—1582no—
1879C4—1582no—
1880C4—1582no—
1881C4—1582no—
1882C4—1582no—
1883C4—1582no—
1884C4—1582no—
1885C4—1582no—
1886C4—1582no—
1887C4—1582no—
1888C2—42no—
1889C2—42no—
1890C2—3162no—
1891C2—3162no—
1892C2—3162no—
1893C2—3162no—
1894C2—3162no—
1895C2#2377808914yesdirect product factor
1896C2C2×#1909939911yescharacteristic
1897C2C2×#1909939911yescharacteristic
1898C2C2×#1909940011yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#552×C79C2
socleC23×C79C25
hypercenterC2×#552D79
hypocenterC79C2×#3567
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #23778089C2direct (N × H)
2. C2×C79⋊#564C2semidirect
3. C2×#19099310C2semidirect
4. C2×#19099309C2semidirect
5. C2×#19099309C2semidirect
6. C2×#19099264C2semidirect
7. C2×#19099264C2semidirect
8. C2×#19099262C2semidirect
9. C2×#19099261C2semidirect
10. C2×#19099258C2semidirect
11. C2×#19099257C2semidirect
12. C2×#19099254C2semidirect
13. C2×#19099252C2semidirect
14. C2×#19099251C2semidirect
15. C2×#19099246C2semidirect
16. C2×#19099245C2semidirect
17. C2×#19099169C2semidirect
18. C2×#19099168C2semidirect
19. C2×#19099168C2semidirect
20. C2×#19099165C2semidirect
21. C2×#19099165C2semidirect
22. C2×#19099164C2semidirect
23. C2×#19099162C2semidirect
24. C2×#19099161C2semidirect
25. C2×#19099161C2semidirect
26. C2×#19099160C2semidirect
27. C2×#19099159C2semidirect
28. C2×#19099154C2semidirect
29. C2×#19099100C2semidirect
30. C2×#19099096C2semidirect
31. C2×#19099091C2semidirect
32. C2×#552×C79C2semidirect
33. C79⋊#564C22semidirect
34. #19099310C22semidirect
35. #19099309C22semidirect
36. #19099309C22semidirect
37. #19099264C22semidirect
38. #19099264C22semidirect
39. #19099262C22semidirect
40. #19099261C22semidirect
41. #19099258C22semidirect
42. #19099257C22semidirect
43. #19099254C22semidirect
44. #19099252C22semidirect
45. #19099251C22semidirect
46. #19099246C22semidirect
47. #19099245C22semidirect
48. #19099169C22semidirect
49. #19099168C22semidirect
50. #19099168C22semidirect
51. #19099165C22semidirect
52. #19099165C22semidirect
53. #19099164C22semidirect
54. #19099162C22semidirect
55. #19099161C22semidirect
56. #19099161C22semidirect
57. #19099160C22semidirect
58. #19099159C22semidirect
59. #19099154C22semidirect
62. #19099100C22semidirect
63. #19099096C22semidirect
64. #19099091C22semidirect
203. #552×C79C22semidirect
941. C2×C79#3567semidirect
966. C2×#552D79semidirect
982. C79C2×#3567semidirect
998. #552C2×D79semidirect
1895. C2#23778089direct (N × H)

Maximal subgroups

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

subgroupindex
#237780892
C2×C79⋊#5642
C2×#190993102
C2×#190993092
C2×#190992642
C2×#190992622
C2×#190992612
C2×#190992582
C2×#190992572
C2×#190992542
C2×#190992522
C2×#190992512
C2×#190992462
C2×#190992452
C2×#190991692
C2×#190991682
C2×#190991652
C2×#190991642
C2×#190991622
C2×#190991612
C2×#190991602
C2×#190991592
C2×#190991542
C2×#190991002
C2×#190990962
C2×#190990912
C2×#552×C792
C2×#356779