Finite Group Databasebeta

← C2×#23777692 #35195431

Subgroups — C2×#23777692 #35195431

Order 20224.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777692C2132yesmaximal, direct product factor
2C2×#19099317C211yesmaximal, characteristic, complemented
3C2×#19099314C211yesmaximal, characteristic, complemented
4C2×#19099310C211yesmaximal, characteristic, complemented
5C2×#19099309C211yesmaximal, characteristic, complemented
6C2×#19099280C211yesmaximal, characteristic, complemented
7C2×#19099269C211yesmaximal, characteristic, complemented
8C2×#19099269C211yesmaximal, characteristic, complemented
9C2×#19099268C211yesmaximal, characteristic, complemented
10C2×#19099264C211yesmaximal, characteristic, complemented
11C2×#19099263C211yesmaximal, characteristic, complemented
12C2×#19099258C211yesmaximal, characteristic, complemented
13C2×#19099245C211yesmaximal, characteristic, complemented
14C2×#19099226C211yesmaximal, characteristic, complemented
15C2×#19099223C211yesmaximal, characteristic, complemented
16C2×#19099222C211yesmaximal, characteristic, complemented
17C2×#19099214C211yesmaximal, characteristic, complemented
18C2×#19099183C211yesmaximal, characteristic, complemented
19C2×#19099181C211yesmaximal, characteristic, complemented
20C2×#19099178C211yesmaximal, characteristic, complemented
21C2×#19099170C211yesmaximal, characteristic, complemented
22C2×#19099156C211yesmaximal, characteristic, complemented
23C2×#19099152C211yesmaximal, characteristic, complemented
24C2×#19099149C211yesmaximal, characteristic, complemented
25C2×#19099149C211yesmaximal, characteristic, complemented
26C2×#19099145C211yesmaximal, characteristic, complemented
27C2×#19099142C211yesmaximal, characteristic, complemented
28C2×#19099135C211yesmaximal, characteristic, complemented
29C2×#19099072C211yesmaximal, characteristic, complemented
30C2×#19099071C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
32C2×#539×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic
34C22×#11929624C2211yescharacteristic, complemented
35C22×#11929623C2211yescharacteristic
36C23×Dic158C2211yescharacteristic, complemented
37C22×Q8×D79C2211yescharacteristic
38C23×C4×D79C2211yescharacteristic
39#19099317C22116yescomplemented
40#19099314C22116yescomplemented
41#19099310C22116yescomplemented
42#19099309C22116yescomplemented
43#19099280C22116yescomplemented
44#19099269C22116yescomplemented
45#19099269C22116yescomplemented
46#19099268C22116yescomplemented
47#19099264C22116yescomplemented
48#19099263C22116yescomplemented
49#19099258C22116yescomplemented
50#19099245C22116yescomplemented
51#19099226C22116yescomplemented
52#19099223C22116yescomplemented
53#19099222C22116yescomplemented
54#19099214C22116yescomplemented
55#19099183C22116yescomplemented
56#19099181C22116yescomplemented
57#19099178C22116yescomplemented
58#19099170C22116yescomplemented
59#19099156C22116yescomplemented
60#19099152C22116yescomplemented
61#19099149C22116yescomplemented
62#19099149C22116yescomplemented
63#19099145C22116yescomplemented
64#19099142C22116yescomplemented
65#19099135C22116yescomplemented
66C2×#14579160C2211yescharacteristic, complemented
67C2×#14579160C2211yescharacteristic, complemented
68C2×#14579160C2211yescharacteristic, complemented
69C2×#14579160C2211yescharacteristic, complemented
70C2×#14579160C2211yescharacteristic, complemented
71C2×#14579159C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic
73C2×#14579156C2211yescharacteristic
74C2×#14579156C2211yescharacteristic
75C2×#14579156C2211yescharacteristic
76C2×#14579156C2211yescharacteristic, complemented
77C2×#14579156C2211yescharacteristic, complemented
78C2×#14579154C2211yescharacteristic
79C2×#14579154C2211yescharacteristic
80C2×#14579154C2211yescharacteristic
81C2×#14579154C2211yescharacteristic, complemented
82C2×#14579154C2211yescharacteristic, complemented
83C2×#14579154C2211yescharacteristic, complemented
84C2×#14579153C2211yescharacteristic, complemented
85C2×#14579152C2211yescharacteristic, complemented
86C2×#14579152C2211yescharacteristic, complemented
87C2×#14579151C2211yescharacteristic, complemented
88C2×#14579151C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579151C2211yescharacteristic, complemented
91C2×#14579150C2211yescharacteristic, complemented
92C2×#14579149C2211yescharacteristic
93C2×#14579148C2211yescharacteristic
94C2×#14579147C2211yescharacteristic
95C2×#14579147C2211yescharacteristic
96C2×#14579147C2211yescharacteristic
97C2×#14579147C2211yescharacteristic
98C2×#14579147C2211yescharacteristic
99C2×#14579147C2211yescharacteristic
100C2×#14579147C2211yescharacteristic, complemented
101C2×#14579147C2211yescharacteristic, complemented
102#19099072C22116yescomplemented
103#19099071C22116yescomplemented
104C2×#14579146C2211yescharacteristic
105C2×#14579146C2211yescharacteristic
106C2×#14579146C2211yescharacteristic
107C2×#14579146C2211yescharacteristic
108C2×#14579146C2211yescharacteristic, complemented
109C2×#14579145C2211yescharacteristic, complemented
110C2×#14579144C2211yescharacteristic
111C2×#14579144C2211yescharacteristic
112C2×#14579144C2211yescharacteristic, complemented
113C2×#14579144C2211yescharacteristic, complemented
114C2×#14579143C2211yescharacteristic
115C2×#14579143C2211yescharacteristic
116C2×#14579143C2211yescharacteristic, complemented
117C2×#14579142C2211yescharacteristic
118C2×#14579141C2211yescharacteristic
119C2×#14579141C2211yescharacteristic
120C2×#14579141C2211yescharacteristic
121C2×#14579141C2211yescharacteristic, complemented
122C2×#14579141C2211yescharacteristic, complemented
123C2×#14579140C2211yescharacteristic
124C2×#14579140C2211yescharacteristic, complemented
125C2×#14579140C2211yescharacteristic, complemented
126C2×#14579140C2211yescharacteristic, complemented
127C2×#14579139C2211yescharacteristic
128C2×#14579139C2211yescharacteristic
129C2×#14579139C2211yescharacteristic
130C2×#14579139C2211yescharacteristic
131C2×#14579139C2211yescharacteristic
132C2×#14579139C2211yescharacteristic
133C2×#14579139C2211yescharacteristic
134C2×#14579139C2211yescharacteristic, complemented
135C2×#14579139C2211yescharacteristic, complemented
136C2×#14579139C2211yescharacteristic, complemented
137C2×#14579139C2211yescharacteristic, complemented
138C2×#14579139C2211yescharacteristic, complemented
139C2×#14579139C2211yescharacteristic, complemented
140C2×#14579138C2211yescharacteristic
141C2×#14579138C2211yescharacteristic
142C2×#14579138C2211yescharacteristic
143C2×#14579138C2211yescharacteristic, complemented
144C2×#14579138C2211yescharacteristic, complemented
145C2×#14579137C2211yescharacteristic
146C22⋊Q8×D79C22116yescomplemented
147C2×#14579136C2211yescharacteristic
148C2×#14579136C2211yescharacteristic
149C2×#14579135C2211yescharacteristic
150C2×#14579135C2211yescharacteristic
151C2×#14579134C2211yescharacteristic
152C2×#14579134C2211yescharacteristic
153C2×#14579134C2211yescharacteristic
154C2×#14579134C2211yescharacteristic
155C2×#14579134C2211yescharacteristic
156C2×#14579134C2211yescharacteristic
157C2×#14579134C2211yescharacteristic, complemented
158C2×#14579133C2211yescharacteristic
159C2×#14579133C2211yescharacteristic
160C2×#14579133C2211yescharacteristic, complemented
161C2×#14579132C2211yescharacteristic
162C2×#14579132C2211yescharacteristic
163C2×#14579132C2211yescharacteristic
164C2×#14579132C2211yescharacteristic, complemented
165C2×#14579131C2211yescharacteristic
166C2×#14579131C2211yescharacteristic
167C2×#14579129C2211yescharacteristic
168C2×#14579129C2211yescharacteristic
169C2×C4×Dic158C2211yescharacteristic, complemented
170C2×C4×Dic158C2211yescharacteristic, complemented
171C2×#14579126C2211yescharacteristic, complemented
172C2×#14579126C2211yescharacteristic, complemented
173C2×#14579126C2211yescharacteristic, complemented
174C2×C4×D316C2211yescharacteristic
175C2×C4×D316C2211yescharacteristic
176C2×#14579123C2211yescharacteristic
177C2×#14579123C2211yescharacteristic
178C2×#14579123C2211yescharacteristic
179C2×#14579123C2211yescharacteristic
180C2×#14579123C2211yescharacteristic
181C2×C4×C22⋊D79C2211yescharacteristic
182C2×C4×C22⋊D79C2211yescharacteristic
183C2×C4×C22⋊D79C2211yescharacteristic
184C2×C4×C22⋊D79C2211yescharacteristic
185C2×C4×C22⋊D79C2211yescharacteristic
186C2×C4×C22⋊D79C2211yescharacteristic, complemented
187C2×(C22⋊D79)⋊C4C2211yescharacteristic
188C2×(C22⋊D79)⋊C4C2211yescharacteristic
189C2×(C22⋊D79)⋊C4C2211yescharacteristic
190C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
191C2×#14579119C2211yescharacteristic, complemented
192C2×#14579118C2211yescharacteristic
193C2×#14579118C2211yescharacteristic, complemented
194C2×#14579117C2211yescharacteristic
195C2×#14579117C2211yescharacteristic, complemented
196C2×C4⋊C4×D79C2211yescharacteristic
197C2×C4⋊C4×D79C2211yescharacteristic
198C2×C4⋊C4×D79C2211yescharacteristic
199C2×C4⋊C4×D79C2211yescharacteristic, complemented
200C2×C4⋊C4×D79C2211yescharacteristic, complemented
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203#539×C79C22116yescomplemented
204C2×#126×C79C2211yescharacteristic
205C2×#126×C79C2211yescharacteristic, complemented
206C2×#125×C79C2211yescharacteristic, complemented
207C2×#125×C79C2211yescharacteristic, complemented
208C2×#123×C79C2211yescharacteristic
209C2×#123×C79C2211yescharacteristic
210C2×#123×C79C2211yescharacteristic
211C2×#123×C79C2211yescharacteristic, complemented
212C2×C22⋊Q8×C79C2211yescharacteristic
213C2×C22⋊Q8×C79C2211yescharacteristic, complemented
214C2×C22⋊Q8×C79C2211yescharacteristic, complemented
215C2×#121×C79C2211yescharacteristic
216C2×C4×D4×C79C2211yescharacteristic
217C2×C4×D4×C79C2211yescharacteristic, complemented
218C22×C4⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C2×#11929624—44no—
221C2×#11929624—44no—
222C2×#11929624C2318yes—
223C2×#11929624C2318yescomplemented
224C2×#11929623—44no—
225C2×#11929623C2318yes—
226C22×Dic158—44no—
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C22×Dic158C2311yescharacteristic
234C22×Dic158C2311yescharacteristic
235C22×Dic158C2311yescharacteristic
236C22×Dic158C2318yescomplemented
237C2×Q8×D79—44no—
238C2×Q8×D79C2318yes—
239C22×D316C2311yescharacteristic
240C22×D316C2311yescharacteristic
241C22×D316C2311yescharacteristic
242C22×D316C2311yescharacteristic
243C22×D316C2311yescharacteristic
244C22×C22⋊D79C2311yescharacteristic
245C22×C22⋊D79C2311yescharacteristic
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C22×C22⋊D79C2311yescharacteristic
250C22×C22⋊D79C2311yescharacteristic
251C22×C22⋊D79C2311yescharacteristic
252C22×C22⋊D79C2311yescharacteristic
253C22×C22⋊D79C2311yescharacteristic
254C23×Dic79C2311yescharacteristic
255C23×Dic79C2311yescharacteristic
256C23×Dic79C2311yescharacteristic
257C22×C4×D79—44no—
258C22×C4×D79C2311yescharacteristic
259C22×C4×D79C2311yescharacteristic
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2311yescharacteristic
263C22×C4×D79C2311yescharacteristic
264C22×C4×D79C2311yescharacteristic
265C22×C4×D79C2311yescharacteristic
266C22×C4×D79C2311yescharacteristic
267C22×C4×D79C2311yescharacteristic
268C22×C4×D79C2311yescharacteristic
269C22×C4×D79C2311yescharacteristic
270C22×C4×D79C2311yescharacteristic
271C22×C4×D79C2311yescharacteristic
272C22×C4×D79C2318yes—
273#14579160C2318yescomplemented
274#14579160C2318yescomplemented
275#14579160C2318yescomplemented
276#14579160C2318yescomplemented
277#14579160C2318yescomplemented
278#14579159C2318yescomplemented
279#14579156C2318yes—
280#14579156C2318yes—
281#14579156C2318yes—
282#14579156C2318yes—
283#14579156C2318yescomplemented
284#14579156C2318yescomplemented
285#14579154C2318yes—
286#14579154C2318yes—
287#14579154C2318yes—
288#14579154C2318yescomplemented
289#14579154C2318yescomplemented
290#14579154C2318yescomplemented
291#14579153C2318yescomplemented
292#14579152C2318yescomplemented
293#14579152C2318yescomplemented
294#14579151C2318yescomplemented
295#14579151C2318yescomplemented
296#14579151C2318yescomplemented
297#14579151C2318yescomplemented
298#14579150C2318yescomplemented
299#14579149C2318yes—
300#14579148C2318yes—
301#14579147C2318yes—
302#14579147C2318yes—
303#14579147C2318yes—
304#14579147C2318yes—
305#14579147C2318yes—
306#14579147C2318yes—
307#14579147C2318yescomplemented
308#14579147C2318yescomplemented
309#14579146C2318yes—
310#14579146C2318yes—
311#14579146C2318yes—
312#14579146C2318yes—
313#14579146C2318yescomplemented
314#14579145C2318yescomplemented
315#14579144C2318yes—
316#14579144C2318yes—
317#14579144C2318yescomplemented
318#14579144C2318yescomplemented
319#14579143C2318yes—
320#14579143C2318yes—
321#14579143C2318yescomplemented
322#14579142C2318yes—
323#14579141C2318yes—
324#14579141C2318yes—
325#14579141C2318yes—
326#14579141C2318yescomplemented
327#14579141C2318yescomplemented
328#14579140C2318yes—
329#14579140C2318yescomplemented
330#14579140C2318yescomplemented
331#14579140C2318yescomplemented
332#14579139C2318yes—
333#14579139C2318yes—
334#14579139C2318yes—
335#14579139C2318yes—
336#14579139C2318yes—
337#14579139C2318yes—
338#14579139C2318yes—
339#14579139C2318yescomplemented
340#14579139C2318yescomplemented
341#14579139C2318yescomplemented
342#14579139C2318yescomplemented
343#14579139C2318yescomplemented
344#14579139C2318yescomplemented
345#14579138C2318yes—
346#14579138C2318yes—
347#14579138C2318yes—
348#14579138C2318yescomplemented
349#14579138C2318yescomplemented
350#14579137C2318yes—
351#14579136C2318yes—
352#14579136C2318yes—
353#14579135C2318yes—
354#14579135C2318yes—
355#14579134C2318yes—
356#14579134C2318yes—
357#14579134C2318yes—
358#14579134C2318yes—
359#14579134C2318yes—
360#14579134C2318yes—
361#14579134C2318yescomplemented
362#14579133C2318yes—
363#14579133C2318yes—
364#14579133C2318yescomplemented
365#14579132C2318yes—
366#14579132C2318yes—
367#14579132C2318yes—
368#14579132C2318yescomplemented
369#14579131C2318yes—
370#14579131C2318yes—
371#14579129C2318yes—
372#14579129C2318yes—
373C4×Dic158C2318yescomplemented
374C4×Dic158C2318yescomplemented
375#14579126C2318yescomplemented
376#14579126C2318yescomplemented
377#14579126C2318yescomplemented
378C4×D316C2318yes—
379C4×D316C2318yes—
380#14579123C2318yes—
381#14579123C2318yes—
382#14579123C2318yes—
383#14579123C2318yes—
384#14579123C2318yes—
385C4×C22⋊D79C2318yes—
386C4×C22⋊D79C2318yes—
387C4×C22⋊D79C2318yes—
388C4×C22⋊D79C2318yes—
389C4×C22⋊D79C2318yes—
390C4×C22⋊D79C2318yescomplemented
391(C22⋊D79)⋊C4C2318yes—
392(C22⋊D79)⋊C4C2318yes—
393(C22⋊D79)⋊C4C2318yes—
394(C22⋊D79)⋊C4C2318yescomplemented
395#14579119C2318yescomplemented
396#14579118C2318yes—
397#14579118C2318yescomplemented
398#14579117C2318yes—
399#14579117C2318yescomplemented
400C2×C4⋊Dic79C2311yescharacteristic
401C2×C4⋊Dic79C2311yescharacteristic
402C2×C4⋊Dic79C2311yescharacteristic
403C2×C4⋊Dic79C2311yescharacteristic
404C2×C4⋊Dic79C2311yescharacteristic
405C2×C4⋊Dic79C2311yescharacteristic
406C2×C4⋊Dic79C2311yescharacteristic
407C2×C4⋊Dic79C2311yescharacteristic
408C2×C4⋊Dic79C2311yescharacteristic
409C2×C4⋊Dic79C2311yescharacteristic
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
434C4⋊C4×D79C2318yes—
435C4⋊C4×D79C2318yes—
436C4⋊C4×D79C2318yes—
437C4⋊C4×D79C2318yescomplemented
438C4⋊C4×D79C2318yescomplemented
439C2×C22⋊Dic79C2311yescharacteristic
440C2×C22⋊Dic79C2311yescharacteristic
441C2×C22⋊Dic79C2311yescharacteristic
442C2×C22⋊Dic79C2311yescharacteristic
443C2×C22⋊Dic79C2311yescharacteristic
444C2×C22⋊Dic79C2311yescharacteristic
445C2×C22⋊Dic79C2311yescharacteristic
446C2×C22⋊Dic79C2311yescharacteristic
447C2×C22⋊Dic79C2311yescharacteristic
448C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
470C2×(C2×D79)⋊C4C2311yescharacteristic
471C2×(C2×D79)⋊C4C2311yescharacteristic
472C2×(C2×D79)⋊C4C2311yescharacteristic
473C22⋊C4×D79C2318yes—
474C22⋊C4×D79C2318yes—
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C2×C4×Dic79C2311yescharacteristic
479C2×C4×Dic79C2311yescharacteristic
480C2×C4×Dic79C2311yescharacteristic
481C2×C4×Dic79C2311yescharacteristic
482C2×C4×Dic79C2311yescharacteristic
483C2×C4×Dic79C2311yescharacteristic
484C2×C4×Dic79C2311yescharacteristic
485C22×Q8×C79C2311yescharacteristic
486C22×D4×C79C2311yescharacteristic
487C22×D4×C79C2311yescharacteristic
488C22×D4×C79C2311yescharacteristic
489C23×C4×C79C2311yescharacteristic
490C23×C4×C79C2311yescharacteristic
491C23×C4×C79C2311yescharacteristic
492C23×C4×C79C2311yescharacteristic
493C23×C4×C79C2311yescharacteristic
494#126×C79C2318yes—
495#126×C79C2318yescomplemented
496#125×C79C2318yescomplemented
497#125×C79C2318yescomplemented
498#123×C79C2318yes—
499#123×C79C2318yes—
500#123×C79C2318yes—
501#123×C79C2318yescomplemented
502C22⋊Q8×C79C2318yes—
503C22⋊Q8×C79C2318yescomplemented
504C22⋊Q8×C79C2318yescomplemented
505#121×C79C2318yes—
506C4×D4×C79C2318yes—
507C4×D4×C79C2318yescomplemented
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×C4⋊C4×C79C2311yescharacteristic
518C2×C4⋊C4×C79C2311yescharacteristic
519C2×C4⋊C4×C79C2311yescharacteristic
520C2×C4⋊C4×C79C2311yescharacteristic
521C2×C4⋊C4×C79C2311yescharacteristic
522C2×C4⋊C4×C79C2318yescomplemented
523C2×C22⋊C4×C79C2311yescharacteristic
524C2×C22⋊C4×C79C2311yescharacteristic
525C2×C22⋊C4×C79C2311yescharacteristic
526C2×C22⋊C4×C79C2311yescharacteristic
527C2×C22⋊C4×C79C2311yescharacteristic
528C2×C22⋊C4×C79C2311yescharacteristic
529C2×C22⋊C4×C79C2311yescharacteristic
530C2×C22⋊C4×C79C2311yescharacteristic
531C2×C22⋊C4×C79C2311yescharacteristic
532C2×C22⋊C4×C79C2311yescharacteristic
533C2×C42×C79C2311yescharacteristic
534C2×C42×C79C2311yescharacteristic
535C23×D79—24no—
536C23×D79—42no—
537C23×D79—42no—
538C23×D79C2411yescharacteristic
539C23×D79C2411yescharacteristic
540C23×D79C2411yescharacteristic
541C23×D79C2411yescharacteristic
542C23×D79C2414yes—
543#11929624—416no—
544#11929624—416no—
545#11929623—416no—
546C2×Dic158—24no—
547C2×Dic158—24no—
548C2×Dic158—24no—
549C2×Dic158—42no—
550C2×Dic158—42no—
551C2×Dic158—42no—
552C2×Dic158—42no—
553C2×Dic158—42no—
554C2×Dic158—42no—
555C2×Dic158—416no—
556C2×Dic158C2414yes—
557C2×Dic158C2414yes—
558C2×Dic158C2414yes—
559C2×Dic158C2414yes—
560C2×Dic158C2414yes—
561C2×Dic158C2414yes—
562C2×Dic158C2414yes—
563C2×Dic158C2414yes—
564C2×Dic158C2414yes—
565Q8×D79—416no—
566C2×D316—24no—
567C2×D316—24no—
568C2×D316—42no—
569C2×D316—42no—
570C2×D316—42no—
571C2×D316C2414yes—
572C2×D316C2414yes—
573C2×D316C2414yes—
574C2×D316C2414yes—
575C2×D316C2414yes—
576C2×C22⋊D79—24no—
577C2×C22⋊D79—24no—
578C2×C22⋊D79—24no—
579C2×C22⋊D79—42no—
580C2×C22⋊D79—42no—
581C2×C22⋊D79—42no—
582C2×C22⋊D79—42no—
583C2×C22⋊D79—42no—
584C2×C22⋊D79—42no—
585C2×C22⋊D79—42no—
586C2×C22⋊D79C2414yes—
587C2×C22⋊D79C2414yes—
588C2×C22⋊D79C2414yes—
589C2×C22⋊D79C2414yes—
590C2×C22⋊D79C2414yes—
591C2×C22⋊D79C2414yes—
592C2×C22⋊D79C2414yes—
593C2×C22⋊D79C2414yes—
594C2×C22⋊D79C2414yes—
595C2×C22⋊D79C2414yes—
596C22×Dic79—24no—
597C22×Dic79—24no—
598C22×Dic79—42no—
599C22×Dic79C2411yescharacteristic
600C22×Dic79C2411yescharacteristic
601C22×Dic79C2411yescharacteristic
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2411yescharacteristic
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C22×Dic79C2411yescharacteristic
607C22×Dic79C2414yes—
608C22×Dic79C2414yes—
609C22×Dic79C2411yescharacteristic
610C22×Dic79C2411yescharacteristic
611C22×Dic79C2411yescharacteristic
612C22×Dic79C2414yes—
613C22×Dic79C2411yescharacteristic
614C2×C4×D79—24no—
615C2×C4×D79—24no—
616C2×C4×D79—24no—
617C2×C4×D79—42no—
618C2×C4×D79—42no—
619C2×C4×D79—42no—
620C2×C4×D79—42no—
621C2×C4×D79—42no—
622C2×C4×D79—42no—
623C2×C4×D79—42no—
624C2×C4×D79—42no—
625C2×C4×D79—42no—
626C2×C4×D79—42no—
627C2×C4×D79—42no—
628C2×C4×D79—416no—
629C2×C4×D79C2414yes—
630C2×C4×D79C2414yes—
631C2×C4×D79C2414yes—
632C2×C4×D79C2414yes—
633C2×C4×D79C2414yes—
634C2×C4×D79C2414yes—
635C2×C4×D79C2414yes—
636C2×C4×D79C2414yes—
637C2×C4×D79C2414yes—
638C2×C4×D79C2414yes—
639C2×C4×D79C2414yes—
640C2×C4×D79C2414yes—
641C2×C4×D79C2414yes—
642C2×C4×D79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2414yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2414yes—
650C4⋊Dic79C2414yes—
651C4⋊Dic79C2414yes—
652C4⋊Dic79C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2414yes—
682C22⋊Dic79C2414yes—
683C22⋊Dic79C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
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—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707(C2×D79)⋊C4C2414yes—
708(C2×D79)⋊C4C2414yes—
709(C2×D79)⋊C4C2414yes—
710(C2×D79)⋊C4C2414yes—
711C4×Dic79C2414yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C24×C79C2411yescharacteristic
722C24×C79C2411yescharacteristic
723C24×C79C2411yescharacteristic
724C2×Q8×C79—42no—
725C2×Q8×C79C2414yes—
726C2×D4×C79—42no—
727C2×D4×C79—42no—
728C2×D4×C79—42no—
729C2×D4×C79C2414yes—
730C2×D4×C79C2414yes—
731C2×D4×C79C2414yes—
732C22×C4×C79—42no—
733C22×C4×C79—42no—
734C22×C4×C79—42no—
735C22×C4×C79—42no—
736C22×C4×C79—42no—
737C22×C4×C79C2411yescharacteristic
738C22×C4×C79C2411yescharacteristic
739C22×C4×C79C2411yescharacteristic
740C22×C4×C79C2411yescharacteristic
741C22×C4×C79C2411yescharacteristic
742C22×C4×C79C2411yescharacteristic
743C22×C4×C79C2411yescharacteristic
744C22×C4×C79C2411yescharacteristic
745C22×C4×C79C2411yescharacteristic
746C22×C4×C79C2411yescharacteristic
747C22×C4×C79C2411yescharacteristic
748C22×C4×C79C2411yescharacteristic
749C22×C4×C79C2414yes—
750C22×C4×C79C2414yes—
751C22×C4×C79C2414yes—
752C22×C4×C79C2414yes—
753C22×C4×C79C2414yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2414yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2414yes—
762C4⋊C4×C79C2414yes—
763C4⋊C4×C79C2414yes—
764C4⋊C4×C79C2414yes—
765C4⋊C4×C79C2414yes—
766C4⋊C4×C79C2414yes—
767C4⋊C4×C79C2414yes—
768C22⋊C4×C79C2414yes—
769C22⋊C4×C79C2414yes—
770C22⋊C4×C79C2414yes—
771C22⋊C4×C79C2414yes—
772C22⋊C4×C79C2414yes—
773C22⋊C4×C79C2414yes—
774C22⋊C4×C79C2414yes—
775C22⋊C4×C79C2414yes—
776C22⋊C4×C79C2414yes—
777C22⋊C4×C79C2414yes—
778C42×C79C2414yes—
779C42×C79C2414yes—
780C23×C79—22no—
781C23×C79—22no—
782C23×C79—22no—
783C23×C79—22no—
784C23×C79—22no—
785C23×C79—22no—
786C23×C79—22no—
787C23×C79—22no—
788C23×C79—22no—
789C23×C79C2512yes—
790C23×C79C2512yes—
791C23×C79C2512yes—
792C23×C79C2511yescharacteristic
793C22×D79—22no—
794C22×D79—22no—
795C22×D79—22no—
796C22×D79—22no—
797C22×D79—22no—
798C22×D79—22no—
799C22×D79—22no—
800C22×D79—22no—
801C22×D79—22no—
802C22×D79—22no—
803C22×D79—22no—
804C22×D79—28no—
805C22×D79—44no—
806C22×D79—44no—
807C22×D79—416no—
808C22×D792−1+414yes—
809C22×D79C2512yes—
810C22×D79C2512yes—
811C22×D79C2512yes—
812C22×D79C2512yes—
813Q8×C79—44no—
814D4×C79—44no—
815D4×C79—44no—
816D4×C79—44no—
817C2×C4×C79—22no—
818C2×C4×C79—22no—
819C2×C4×C79—22no—
820C2×C4×C79—22no—
821C2×C4×C79—22no—
822C2×C4×C79—22no—
823C2×C4×C79—22no—
824C2×C4×C79—22no—
825C2×C4×C79—22no—
826C2×C4×C79—22no—
827C2×C4×C79—22no—
828C2×C4×C79—22no—
829C2×C4×C79—44no—
830C2×C4×C79—44no—
831C2×C4×C79—44no—
832C2×C4×C79—44no—
833C2×C4×C79—44no—
834C2×C4×C79C2512yes—
835C2×C4×C79C2512yes—
836C2×C4×C79C2512yes—
837C2×C4×C79C2512yes—
838C2×C4×C79C2512yes—
839C2×C4×C79C2512yes—
840C2×C4×C79C2512yes—
841C2×C4×C79C2512yes—
842C2×C4×C79C2512yes—
843C2×C4×C79C2512yes—
844C2×C4×C79C2512yes—
845C2×C4×C79C2512yes—
846C22⋊D79—28no—
847C22⋊D79—28no—
848C22⋊D79—28no—
849C22⋊D79—44no—
850C22⋊D79—44no—
851C22⋊D79—44no—
852C22⋊D79—44no—
853C22⋊D79—44no—
854C22⋊D79—44no—
855C22⋊D79—44no—
856C2×Dic79—22no—
857C2×Dic79—22no—
858C2×Dic79—22no—
859C2×Dic79—22no—
860C2×Dic79—22no—
861C2×Dic79—22no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—22no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—28no—
868C2×Dic79—28no—
869C2×Dic79—44no—
870C2×Dic79H(5,𝔽2)14yes—
871C2×Dic79C2512yes—
872C2×Dic79C2512yes—
873C2×Dic79C2512yes—
874C2×Dic79C2512yes—
875C2×Dic79C2512yes—
876C2×Dic79C2512yes—
877C2×Dic79C2512yes—
878C2×Dic79C2512yes—
879C2×Dic79C2512yes—
880C2×Dic79C2512yes—
881C2×Dic79C2512yes—
882C2×Dic79C2512yes—
883D316—28no—
884D316—28no—
885D316—44no—
886D316—44no—
887D316—44no—
888C4×D79—28no—
889C4×D79—28no—
890C4×D79—28no—
891C4×D79—44no—
892C4×D79—44no—
893C4×D79—44no—
894C4×D79—44no—
895C4×D79—44no—
896C4×D79—44no—
897C4×D79—44no—
898C4×D79—44no—
899C4×D79—44no—
900C4×D79—44no—
901C4×D79—44no—
902Dic158—28no—
903Dic158—28no—
904Dic158—28no—
905Dic158—44no—
906Dic158—44no—
907Dic158—44no—
908Dic158—44no—
909Dic158—44no—
910Dic158—44no—
911C22×C79—22no—
912C22×C79—22no—
913C22×C79—22no—
914C22×C79—22no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—22no—
919C22×C79—22no—
920C22×C79—44no—
921C22×C79—44no—
922C22×C79—44no—
923C22×C79C2×H(5,𝔽2)12yes—
924C22×C79C2×2−1+412yes—
925C22×C79#58512yes—
926C22×C79C2611yescharacteristic
927C2×D79—22no—
928C2×D79—22no—
929C2×D79—28no—
930C2×D79—22no—
931C2×D79—22no—
932C2×D79—22no—
933C2×D79—22no—
934C2×D79—22no—
935C2×D79—22no—
936C2×D79—22no—
937C2×D79—22no—
938C2×D79—22no—
939C2×D79—416no—
940C2×D79—44no—
941C2×D79—44no—
942C2×D79—44no—
943C2×D79C2×2−1+414yes—
944C4×C79—22no—
945C4×C79—22no—
946C4×C79—22no—
947C4×C79—22no—
948C4×C79—22no—
949C4×C79—22no—
950C4×C79—22no—
951C4×C79—22no—
952C4×C79—22no—
953C4×C79—22no—
954C4×C79—22no—
955C4×C79—22no—
956Dic79—22no—
957Dic79—22no—
958Dic79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79C2×H(5,𝔽2)14yes—
968C2×#3541—791nomaximal, Sylow
969C2×C79—42no—
970C2×C79—42no—
971C2×C79—42no—
972C2×C79#354114yescomplemented
973C2×C79C22×H(5,𝔽2)11yescharacteristic
974C2×C79C22×2−1+411yescharacteristic
975C2×C79C2×#58511yescharacteristic
976D79—24no—
977D79—42no—
978D79—42no—
979D79—42no—
980#3541—7932no—
981C2×#563—791no—
982C2×#563—791no—
983C2×#562—791no—
984C2×#562—791no—
985C2×#556—791no—
986C2×#554—791no—
987C2×#554—791no—
988C2×#554—791no—
989C2×#553—791no—
990C2×#553—791no—
991C2×#553—791no—
992C2×#552—791no—
993C2×D4×Q8—791no—
994C2×#548—791no—
995C2×#548—791no—
996C2×#547—791no—
997C2×#542—791no—
998C2×#542—791no—
999C2×#542—791no—
1000C2×#541—791no—
1001C2×#539—791no—
1002C2×#539D7911yescharacteristic, complemented
1003C2×#538—791no—
1004C2×#538—791no—
1005C2×#538—791no—
1006C2×#538—791no—
1007C2×#537—791no—
1008C2×#536—791no—
1009C2×#525—791no—
1010C2×#525—791no—
1011C22×C22⋊Q8—791no—
1012C79C2×#354111yescharacteristic, complemented, Sylow
1013C22×#41—791no—
1014C22×#41—791no—
1015C22×#41—791no—
1016C23×Q8—791no—
1017C23×Q8—791no—
1018C24×C4—791no—
1019#563—7916no—
1020#563—7916no—
1021#562—7916no—
1022#562—7916no—
1023#556—7916no—
1024#554—7916no—
1025#554—7916no—
1026#554—7916no—
1027#553—7916no—
1028#553—7916no—
1029#553—7916no—
1030#552—7916no—
1031D4×Q8—7916no—
1032#548—7916no—
1033#548—7916no—
1034#547—7916no—
1035#542—7916no—
1036#542—7916no—
1037#542—7916no—
1038#541—7916no—
1039#539—7916no—
1040#539C2×D79116yescomplemented
1041#538—7916no—
1042#538—7916no—
1043#538—7916no—
1044#538—7916no—
1045#537—7916no—
1046#536—7916no—
1047C2×C4⋊Q8—791no—
1048C2×C4⋊Q8—791no—
1049C2×C4⋊Q8—791no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×#126—791no—
1054C2×#126—791no—
1055C2×#126—791no—
1056C2×#126—791no—
1057C2×#126—791no—
1058C2×#126—791no—
1059C2×#126—791no—
1060C2×#126—791no—
1061C2×#126—791no—
1062C2×#126—791no—
1063C2×#126—791no—
1064C2×#126—791no—
1065C2×#126C2×D7911yescharacteristic
1066C2×#126C2×D7911yescharacteristic, complemented
1067C2×#125—791no—
1068C2×#125—791no—
1069C2×#125—791no—
1070C2×#125—791no—
1071C2×#125—791no—
1072C2×#125—791no—
1073C2×#125—791no—
1074C2×#125C2×D7911yescharacteristic, complemented
1075C2×#125C2×D7911yescharacteristic, complemented
1076C2×#124—791no—
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—791no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124—791no—
1084C2×#124—791no—
1085C2×#124—791no—
1086C2×#124—791no—
1087#525—7916no—
1088#525—7916no—
1089C2×#123—791no—
1090C2×#123—791no—
1091C2×#123—791no—
1092C2×#123—791no—
1093C2×#123—791no—
1094C2×#123—791no—
1095C2×#123—791no—
1096C2×#123—791no—
1097C2×#123—791no—
1098C2×#123—791no—
1099C2×#123—791no—
1100C2×#123—791no—
1101C2×#123—791no—
1102C2×#123—791no—
1103C2×#123C2×D7911yescharacteristic
1104C2×#123C2×D7911yescharacteristic
1105C2×#123C2×D7911yescharacteristic
1106C2×#123C2×D7911yescharacteristic, complemented
1107C2×C22⋊Q8—791no—
1108C2×C22⋊Q8—791no—
1109C2×C22⋊Q8—791no—
1110C2×C22⋊Q8—791no—
1111C2×C22⋊Q8—791no—
1112C2×C22⋊Q8—7916no—
1113C2×C22⋊Q8—791no—
1114C2×C22⋊Q8—791no—
1115C2×C22⋊Q8—791no—
1116C2×C22⋊Q8—791no—
1117C2×C22⋊Q8—791no—
1118C2×C22⋊Q8—791no—
1119C2×C22⋊Q8—791no—
1120C2×C22⋊Q8—791no—
1121C2×C22⋊Q8—791no—
1122C2×C22⋊Q8—791no—
1123C2×C22⋊Q8—791no—
1124C2×C22⋊Q8—791no—
1125C2×C22⋊Q8—791no—
1126C2×C22⋊Q8—791no—
1127C2×C22⋊Q8—791no—
1128C2×C22⋊Q8—791no—
1129C2×C22⋊Q8—791no—
1130C2×C22⋊Q8—791no—
1131C2×C22⋊Q8—791no—
1132C2×C22⋊Q8—791no—
1133C2×C22⋊Q8—791no—
1134C2×C22⋊Q8—791no—
1135C2×C22⋊Q8—791no—
1136C2×C22⋊Q8C2×D7911yescharacteristic
1137C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1138C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1139C2×#121—791no—
1140C2×#121—791no—
1141C2×#121—791no—
1142C2×#121—791no—
1143C2×#121—791no—
1144C2×#121—791no—
1145C2×#121—791no—
1146C2×#121—791no—
1147C2×#121—791no—
1148C2×#121—791no—
1149C2×#121—791no—
1150C2×#121—791no—
1151C2×#121—791no—
1152C2×#121—791no—
1153C2×#121—791no—
1154C2×#121—791no—
1155C2×#121—791no—
1156C2×#121—791no—
1157C2×#121C2×D7911yescharacteristic
1158C2×#120—791no—
1159C2×#120—791no—
1160C2×#120—791no—
1161C2×#120—791no—
1162C2×C4×Q8—791no—
1163C2×C4×Q8—791no—
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×Q8—791no—
1167C2×C4×D4—791no—
1168C2×C4×D4—791no—
1169C2×C4×D4—791no—
1170C2×C4×D4—791no—
1171C2×C4×D4—791no—
1172C2×C4×D4—791no—
1173C2×C4×D4—791no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—791no—
1177C2×C4×D4—791no—
1178C2×C4×D4—791no—
1179C2×C4×D4—791no—
1180C2×C4×D4—791no—
1181C2×C4×D4—791no—
1182C2×C4×D4—791no—
1183C2×C4×D4—791no—
1184C2×C4×D4C2×D7911yescharacteristic
1185C2×C4×D4C2×D7911yescharacteristic, complemented
1186C2×#117—791no—
1187C2×#117—791no—
1188C2×#117—791no—
1189C2×#117—791no—
1190C2×#117—791no—
1191C22×C4⋊C4—791no—
1192C22×C4⋊C4—791no—
1193C22×C4⋊C4—791no—
1194C22×C4⋊C4—791no—
1195C22×C4⋊C4—791no—
1196C22×C4⋊C4C2×D7911yescharacteristic, complemented
1197C22×C22⋊C4—791no—
1198C22×C22⋊C4—791no—
1199C25—791no—
1200C2×#41—3164no—
1201C2×#41—3164no—
1202C2×#41—3164no—
1203C2×#41—798no—
1204C2×#41—798no—
1205C2×#41—798no—
1206C22×Q8—3164no—
1207C22×Q8—3164no—
1208C22×Q8—798no—
1209C22×Q8—791no—
1210C22×Q8—791no—
1211C22×Q8—791no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8—791no—
1215C22×Q8—798no—
1216C22×Q8—791no—
1217C22×Q8—791no—
1218C22×Q8—791no—
1219C22×Q8C22×D7911yescharacteristic
1220C22×D4—791no—
1221C22×D4—791no—
1222C22×D4—791no—
1223C22×D4—791no—
1224C22×D4—791no—
1225C22×D4—791no—
1226C22×D4—791no—
1227C22×D4—791no—
1228C22×D4—791no—
1229C22×D4—791no—
1230C22×D4—791no—
1231C22×D4—791no—
1232C22×D4—791no—
1233C22×D4—791no—
1234C22×D4—791no—
1235C22×D4C22×D7911yescharacteristic
1236C22×D4C22×D7911yescharacteristic
1237C22×D4C22×D7911yescharacteristic
1238C23×C4—3164no—
1239C23×C4—791no—
1240C23×C4—791no—
1241C23×C4—791no—
1242C23×C4—791no—
1243C23×C4—791no—
1244C23×C4—791no—
1245C23×C4—791no—
1246C23×C4—791no—
1247C23×C4—791no—
1248C23×C4—791no—
1249C23×C4—791no—
1250C23×C4—791no—
1251C23×C4—798no—
1252C23×C4—791no—
1253C23×C4—791no—
1254C23×C4—791no—
1255C23×C4—791no—
1256C23×C4—791no—
1257C23×C4C22×D7911yescharacteristic
1258C23×C4C22×D7911yescharacteristic
1259C23×C4C22×D7911yescharacteristic
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8—798no—
1267C4⋊Q8—798no—
1268#126—798no—
1269#126—798no—
1270#126—798no—
1271#126—798no—
1272#126—798no—
1273#126—798no—
1274#126—798no—
1275#126—798no—
1276#126—798no—
1277#126—798no—
1278#126—798no—
1279#126—798no—
1280#126C22×D7918yes—
1281#126C22×D7918yescomplemented
1282#125—798no—
1283#125—798no—
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#125—798no—
1288#125—798no—
1289#125C22×D7918yescomplemented
1290#125C22×D7918yescomplemented
1291#124—798no—
1292#124—798no—
1293#124—798no—
1294#124—798no—
1295#124—798no—
1296#124—798no—
1297#124—798no—
1298#124—798no—
1299#124—798no—
1300#124—798no—
1301#124—798no—
1302#123—798no—
1303#123—798no—
1304#123—798no—
1305#123—798no—
1306#123—798no—
1307#123—798no—
1308#123—798no—
1309#123—798no—
1310#123—798no—
1311#123—798no—
1312#123—798no—
1313#123—798no—
1314#123—798no—
1315#123—798no—
1316#123C22×D7918yes—
1317#123C22×D7918yes—
1318#123C22×D7918yes—
1319#123C22×D7918yescomplemented
1320C22⋊Q8—798no—
1321C22⋊Q8—798no—
1322C22⋊Q8—798no—
1323C22⋊Q8—798no—
1324C22⋊Q8—798no—
1325C22⋊Q8—798no—
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8—798no—
1342C22⋊Q8—798no—
1343C22⋊Q8—798no—
1344C22⋊Q8—798no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊Q8C22×D7918yes—
1349C22⋊Q8C22×D7918yescomplemented
1350C22⋊Q8C22×D7918yescomplemented
1351#121—798no—
1352#121—798no—
1353#121—798no—
1354#121—798no—
1355#121—798no—
1356#121—798no—
1357#121—798no—
1358#121—798no—
1359#121—798no—
1360#121—798no—
1361#121—798no—
1362#121—798no—
1363#121—798no—
1364#121—798no—
1365#121—798no—
1366#121—798no—
1367#121—798no—
1368#121—798no—
1369#121C22×D7918yes—
1370#120—798no—
1371#120—798no—
1372#120—798no—
1373#120—798no—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×Q8—798no—
1377C4×Q8—798no—
1378C4×Q8—798no—
1379C4×D4—798no—
1380C4×D4—798no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—798no—
1385C4×D4—798no—
1386C4×D4—798no—
1387C4×D4—798no—
1388C4×D4—798no—
1389C4×D4—798no—
1390C4×D4—798no—
1391C4×D4—798no—
1392C4×D4—798no—
1393C4×D4—798no—
1394C4×D4—798no—
1395C4×D4—798no—
1396C4×D4C22×D7918yes—
1397C4×D4C22×D7918yescomplemented
1398#117—798no—
1399#117—798no—
1400#117—798no—
1401#117—798no—
1402#117—798no—
1403C2×C4⋊C4—791no—
1404C2×C4⋊C4—791no—
1405C2×C4⋊C4—791no—
1406C2×C4⋊C4—791no—
1407C2×C4⋊C4—791no—
1408C2×C4⋊C4—791no—
1409C2×C4⋊C4—791no—
1410C2×C4⋊C4—791no—
1411C2×C4⋊C4—791no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—791no—
1414C2×C4⋊C4—791no—
1415C2×C4⋊C4—791no—
1416C2×C4⋊C4—791no—
1417C2×C4⋊C4—791no—
1418C2×C4⋊C4—791no—
1419C2×C4⋊C4—791no—
1420C2×C4⋊C4—791no—
1421C2×C4⋊C4—791no—
1422C2×C4⋊C4—791no—
1423C2×C4⋊C4—791no—
1424C2×C4⋊C4—791no—
1425C2×C4⋊C4—791no—
1426C2×C4⋊C4—791no—
1427C2×C4⋊C4—791no—
1428C2×C4⋊C4—791no—
1429C2×C4⋊C4—791no—
1430C2×C4⋊C4—791no—
1431C2×C4⋊C4—791no—
1432C2×C4⋊C4—791no—
1433C2×C4⋊C4—791no—
1434C2×C4⋊C4—791no—
1435C2×C4⋊C4—791no—
1436C2×C4⋊C4—791no—
1437C2×C4⋊C4—798no—
1438C2×C4⋊C4—798no—
1439C2×C4⋊C4—798no—
1440C2×C4⋊C4—798no—
1441C2×C4⋊C4—798no—
1442C2×C4⋊C4C22×D7911yescharacteristic
1443C2×C4⋊C4C22×D7911yescharacteristic
1444C2×C4⋊C4C22×D7911yescharacteristic
1445C2×C4⋊C4C22×D7911yescharacteristic
1446C2×C4⋊C4C22×D7911yescharacteristic
1447C2×C4⋊C4C22×D7911yescharacteristic
1448C2×C4⋊C4C22×D7911yescharacteristic
1449C2×C4⋊C4C22×D7911yescharacteristic
1450C2×C4⋊C4C22×D7911yescharacteristic
1451C2×C4⋊C4C22×D7911yescharacteristic
1452C2×C4⋊C4C22×D7911yescharacteristic
1453C2×C4⋊C4C22×D7911yescharacteristic
1454C2×C4⋊C4C22×D7911yescharacteristic
1455C2×C4⋊C4C22×D7911yescharacteristic
1456C2×C4⋊C4C22×D7918yescomplemented
1457C2×C22⋊C4—791no—
1458C2×C22⋊C4—791no—
1459C2×C22⋊C4—791no—
1460C2×C22⋊C4—791no—
1461C2×C22⋊C4—791no—
1462C2×C22⋊C4—791no—
1463C2×C22⋊C4—791no—
1464C2×C22⋊C4—791no—
1465C2×C22⋊C4—791no—
1466C2×C22⋊C4—791no—
1467C2×C22⋊C4—791no—
1468C2×C22⋊C4—791no—
1469C2×C22⋊C4—791no—
1470C2×C22⋊C4—791no—
1471C2×C22⋊C4—791no—
1472C2×C22⋊C4—791no—
1473C2×C22⋊C4—791no—
1474C2×C22⋊C4—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—791no—
1478C2×C22⋊C4—791no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—791no—
1481C2×C22⋊C4—791no—
1482C2×C22⋊C4—791no—
1483C2×C22⋊C4—791no—
1484C2×C22⋊C4—791no—
1485C2×C22⋊C4—791no—
1486C2×C22⋊C4—791no—
1487C2×C22⋊C4—791no—
1488C2×C22⋊C4—791no—
1489C2×C22⋊C4—791no—
1490C2×C22⋊C4—791no—
1491C2×C22⋊C4—798no—
1492C2×C22⋊C4—798no—
1493C2×C22⋊C4C22×D7911yescharacteristic
1494C2×C22⋊C4C22×D7911yescharacteristic
1495C2×C22⋊C4C22×D7911yescharacteristic
1496C2×C22⋊C4C22×D7911yescharacteristic
1497C2×C22⋊C4C22×D7911yescharacteristic
1498C2×C22⋊C4C22×D7911yescharacteristic
1499C2×C22⋊C4C22×D7911yescharacteristic
1500C2×C22⋊C4C22×D7911yescharacteristic
1501C2×C22⋊C4C22×D7911yescharacteristic
1502C2×C22⋊C4C22×D7911yescharacteristic
1503C2×C42—791no—
1504C2×C42—791no—
1505C2×C42—791no—
1506C2×C42—791no—
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42C22×D7911yescharacteristic
1514C2×C42C22×D7911yescharacteristic
1515C24—3162no—
1516C24—3162no—
1517C24—794no—
1518C24—791no—
1519C24—791no—
1520C24—791no—
1521C24—791no—
1522C24—1584no—
1523C24C23×D7911yescharacteristic
1524C24C23×D7911yescharacteristic
1525C24C23×D7911yescharacteristic
1526#41—31616no—
1527#41—31616no—
1528#41—31616no—
1529C2×Q8—42no—
1530C2×Q8—3162no—
1531C2×Q8—3162no—
1532C2×Q8—3162no—
1533C2×Q8—3162no—
1534C2×Q8—3162no—
1535C2×Q8—3162no—
1536C2×Q8—31616no—
1537C2×Q8—31616no—
1538C2×Q8—794no—
1539C2×Q8—794no—
1540C2×Q8—794no—
1541C2×Q8—794no—
1542C2×Q8—794no—
1543C2×Q8—794no—
1544C2×Q8—794no—
1545C2×Q8—794no—
1546C2×Q8—794no—
1547C2×Q8—1584no—
1548C2×Q8—1584no—
1549C2×Q8—1584no—
1550C2×Q8C23×D7914yes—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—3162no—
1555C2×D4—3162no—
1556C2×D4—3162no—
1557C2×D4—3162no—
1558C2×D4—3162no—
1559C2×D4—3162no—
1560C2×D4—3162no—
1561C2×D4—3162no—
1562C2×D4—3162no—
1563C2×D4—3162no—
1564C2×D4—794no—
1565C2×D4—794no—
1566C2×D4—794no—
1567C2×D4—794no—
1568C2×D4—794no—
1569C2×D4—794no—
1570C2×D4—794no—
1571C2×D4—794no—
1572C2×D4—794no—
1573C2×D4—794no—
1574C2×D4—794no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—794no—
1578C2×D4—794no—
1579C2×D4—1584no—
1580C2×D4—1584no—
1581C2×D4—1584no—
1582C2×D4—1584no—
1583C2×D4—1584no—
1584C2×D4C23×D7914yes—
1585C2×D4C23×D7914yes—
1586C2×D4C23×D7914yes—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—3162no—
1593C22×C4—3162no—
1594C22×C4—3162no—
1595C22×C4—3162no—
1596C22×C4—3162no—
1597C22×C4—3162no—
1598C22×C4—3162no—
1599C22×C4—3162no—
1600C22×C4—3162no—
1601C22×C4—3162no—
1602C22×C4—3162no—
1603C22×C4—31616no—
1604C22×C4—3162no—
1605C22×C4—794no—
1606C22×C4—794no—
1607C22×C4—794no—
1608C22×C4—794no—
1609C22×C4—794no—
1610C22×C4—794no—
1611C22×C4—794no—
1612C22×C4—794no—
1613C22×C4—794no—
1614C22×C4—794no—
1615C22×C4—794no—
1616C22×C4—794no—
1617C22×C4—791no—
1618C22×C4—794no—
1619C22×C4—794no—
1620C22×C4—791no—
1621C22×C4—791no—
1622C22×C4—791no—
1623C22×C4—791no—
1624C22×C4—791no—
1625C22×C4—791no—
1626C22×C4—791no—
1627C22×C4—791no—
1628C22×C4—791no—
1629C22×C4—791no—
1630C22×C4—791no—
1631C22×C4—794no—
1632C22×C4—794no—
1633C22×C4—794no—
1634C22×C4—1584no—
1635C22×C4—1584no—
1636C22×C4—1584no—
1637C22×C4—1584no—
1638C22×C4—1584no—
1639C22×C4C23×D7911yescharacteristic
1640C22×C4C23×D7911yescharacteristic
1641C22×C4C23×D7911yescharacteristic
1642C22×C4C23×D7911yescharacteristic
1643C22×C4C23×D7911yescharacteristic
1644C22×C4C23×D7911yescharacteristic
1645C22×C4C23×D7911yescharacteristic
1646C22×C4C23×D7911yescharacteristic
1647C22×C4C23×D7911yescharacteristic
1648C22×C4C23×D7911yescharacteristic
1649C22×C4C23×D7911yescharacteristic
1650C22×C4C23×D7911yescharacteristic
1651C22×C4C23×D7914yes—
1652C22×C4C23×D7914yes—
1653C22×C4C23×D7914yes—
1654C22×C4C23×D7914yes—
1655C22×C4C23×D7914yes—
1656C4⋊C4—794no—
1657C4⋊C4—794no—
1658C4⋊C4—794no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—794no—
1663C4⋊C4—794no—
1664C4⋊C4—794no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—794no—
1668C4⋊C4—794no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4—794no—
1672C4⋊C4—794no—
1673C4⋊C4—794no—
1674C4⋊C4—794no—
1675C4⋊C4—794no—
1676C4⋊C4—794no—
1677C4⋊C4—794no—
1678C4⋊C4—794no—
1679C4⋊C4—794no—
1680C4⋊C4—794no—
1681C4⋊C4—794no—
1682C4⋊C4—794no—
1683C4⋊C4—794no—
1684C4⋊C4—794no—
1685C4⋊C4—794no—
1686C4⋊C4—794no—
1687C4⋊C4—794no—
1688C4⋊C4—794no—
1689C4⋊C4—794no—
1690C4⋊C4C23×D7914yes—
1691C4⋊C4C23×D7914yes—
1692C4⋊C4C23×D7914yes—
1693C4⋊C4C23×D7914yes—
1694C4⋊C4C23×D7914yes—
1695C4⋊C4C23×D7914yes—
1696C4⋊C4C23×D7914yes—
1697C4⋊C4C23×D7914yes—
1698C4⋊C4C23×D7914yes—
1699C4⋊C4C23×D7914yes—
1700C4⋊C4C23×D7914yes—
1701C4⋊C4C23×D7914yes—
1702C4⋊C4C23×D7914yes—
1703C4⋊C4C23×D7914yes—
1704C22⋊C4—794no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4—794no—
1714C22⋊C4—794no—
1715C22⋊C4—794no—
1716C22⋊C4—794no—
1717C22⋊C4—794no—
1718C22⋊C4—794no—
1719C22⋊C4—794no—
1720C22⋊C4—794no—
1721C22⋊C4—794no—
1722C22⋊C4—794no—
1723C22⋊C4—794no—
1724C22⋊C4—794no—
1725C22⋊C4—794no—
1726C22⋊C4—794no—
1727C22⋊C4—794no—
1728C22⋊C4—794no—
1729C22⋊C4—794no—
1730C22⋊C4—794no—
1731C22⋊C4—794no—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4—794no—
1735C22⋊C4—794no—
1736C22⋊C4—794no—
1737C22⋊C4—794no—
1738C22⋊C4C23×D7914yes—
1739C22⋊C4C23×D7914yes—
1740C22⋊C4C23×D7914yes—
1741C22⋊C4C23×D7914yes—
1742C22⋊C4C23×D7914yes—
1743C22⋊C4C23×D7914yes—
1744C22⋊C4C23×D7914yes—
1745C22⋊C4C23×D7914yes—
1746C22⋊C4C23×D7914yes—
1747C22⋊C4C23×D7914yes—
1748C42—794no—
1749C42—794no—
1750C42—794no—
1751C42—794no—
1752C42—794no—
1753C42—794no—
1754C42—794no—
1755C42—794no—
1756C42—794no—
1757C42—794no—
1758C42C23×D7914yes—
1759C42C23×D7914yes—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—3164no—
1770C23—3164no—
1771C23—31616no—
1772C23—794no—
1773C23—792no—
1774C23—792no—
1775C23—792no—
1776C23—792no—
1777C23—1588no—
1778C23—1582no—
1779C23—1582no—
1780C23—1582no—
1781C23—1582no—
1782C23—1582no—
1783C23—1582no—
1784C23—1582no—
1785C23—1582no—
1786C23—1582no—
1787C23—1582no—
1788C23—1582no—
1789C23C24×D7912yes—
1790C23C24×D7912yes—
1791C23C24×D7912yes—
1792C23C24×D7911yescharacteristic
1793Q8—44no—
1794Q8—3164no—
1795Q8—3164no—
1796Q8—3164no—
1797Q8—3164no—
1798Q8—3164no—
1799Q8—3164no—
1800Q8—1588no—
1801Q8—1588no—
1802Q8—1588no—
1803D4—44no—
1804D4—44no—
1805D4—44no—
1806D4—3164no—
1807D4—3164no—
1808D4—3164no—
1809D4—3164no—
1810D4—3164no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—1588no—
1817D4—1588no—
1818D4—1588no—
1819D4—1588no—
1820D4—1588no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—3164no—
1839C2×C4—3164no—
1840C2×C4—3164no—
1841C2×C4—3164no—
1842C2×C4—3164no—
1843C2×C4—3164no—
1844C2×C4—3164no—
1845C2×C4—3164no—
1846C2×C4—3164no—
1847C2×C4—3164no—
1848C2×C4—3164no—
1849C2×C4—3164no—
1850C2×C4—794no—
1851C2×C4—792no—
1852C2×C4—792no—
1853C2×C4—792no—
1854C2×C4—792no—
1855C2×C4—792no—
1856C2×C4—792no—
1857C2×C4—792no—
1858C2×C4—792no—
1859C2×C4—792no—
1860C2×C4—792no—
1861C2×C4—792no—
1862C2×C4—792no—
1863C2×C4—1588no—
1864C2×C4—1588no—
1865C2×C4—1588no—
1866C2×C4—1588no—
1867C2×C4—1588no—
1868C2×C4—1582no—
1869C2×C4—1582no—
1870C2×C4—1582no—
1871C2×C4—1582no—
1872C2×C4—1582no—
1873C2×C4—1582no—
1874C2×C4—1582no—
1875C2×C4—1582no—
1876C2×C4—1582no—
1877C2×C4—1582no—
1878C2×C4—1582no—
1879C2×C4C24×D7912yes—
1880C2×C4C24×D7912yes—
1881C2×C4C24×D7912yes—
1882C2×C4C24×D7912yes—
1883C2×C4C24×D7912yes—
1884C2×C4C24×D7912yes—
1885C2×C4C24×D7912yes—
1886C2×C4C24×D7912yes—
1887C2×C4C24×D7912yes—
1888C2×C4C24×D7912yes—
1889C2×C4C24×D7912yes—
1890C2×C4C24×D7912yes—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—31616no—
1904C22—3164no—
1905C22—3164no—
1906C22—3164no—
1907C22—794no—
1908C22—1582no—
1909C22—1582no—
1910C22—1582no—
1911C22—1582no—
1912C22—1582no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1588no—
1919C22—1582no—
1920C22H(5,𝔽2)×D7912yes—
1921C222−1+4×D7912yes—
1922C22#1909939912yes—
1923C22C25×D7911yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—794no—
1937C4—1582no—
1938C4—1582no—
1939C4—1582no—
1940C4—1582no—
1941C4—1582no—
1942C4—1582no—
1943C4—1582no—
1944C4—1582no—
1945C4—1582no—
1946C4—1582no—
1947C4—1582no—
1948C2—42no—
1949C2—42no—
1950C2—42no—
1951C2—3162no—
1952C2—3162no—
1953C2—3162no—
1954C2—1584no—
1955C2#2377769214yesdirect product factor
1956C2C2×H(5,𝔽2)×D7911yescharacteristic
1957C2C2×2−1+4×D7911yescharacteristic
1958C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#539×C79C2
socleC23×C79C25
hypercenterC2×#539D79
hypocenterC79C2×#3541
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #23777692C2direct (N × H)
2. C2×#19099317C2semidirect
3. C2×#19099314C2semidirect
4. C2×#19099310C2semidirect
5. C2×#19099309C2semidirect
6. C2×#19099280C2semidirect
7. C2×#19099269C2semidirect
8. C2×#19099269C2semidirect
9. C2×#19099268C2semidirect
10. C2×#19099264C2semidirect
11. C2×#19099263C2semidirect
12. C2×#19099258C2semidirect
13. C2×#19099245C2semidirect
14. C2×#19099226C2semidirect
15. C2×#19099223C2semidirect
16. C2×#19099222C2semidirect
17. C2×#19099214C2semidirect
18. C2×#19099183C2semidirect
19. C2×#19099181C2semidirect
20. C2×#19099178C2semidirect
21. C2×#19099170C2semidirect
22. C2×#19099156C2semidirect
23. C2×#19099152C2semidirect
24. C2×#19099149C2semidirect
25. C2×#19099149C2semidirect
26. C2×#19099145C2semidirect
27. C2×#19099142C2semidirect
28. C2×#19099135C2semidirect
29. C2×#19099072C2semidirect
30. C2×#19099071C2semidirect
31. C2×C22⋊Q8×D79C2semidirect
32. C2×#539×C79C2semidirect
34. C22×#11929624C22semidirect
36. C23×Dic158C22semidirect
39. #19099317C22semidirect
40. #19099314C22semidirect
41. #19099310C22semidirect
42. #19099309C22semidirect
43. #19099280C22semidirect
44. #19099269C22semidirect
45. #19099269C22semidirect
46. #19099268C22semidirect
47. #19099264C22semidirect
48. #19099263C22semidirect
49. #19099258C22semidirect
50. #19099245C22semidirect
51. #19099226C22semidirect
52. #19099223C22semidirect
53. #19099222C22semidirect
54. #19099214C22semidirect
55. #19099183C22semidirect
56. #19099181C22semidirect
57. #19099178C22semidirect
58. #19099170C22semidirect
59. #19099156C22semidirect
60. #19099152C22semidirect
61. #19099149C22semidirect
62. #19099149C22semidirect
63. #19099145C22semidirect
64. #19099142C22semidirect
65. #19099135C22semidirect
66. C2×#14579160C22semidirect
67. C2×#14579160C22semidirect
68. C2×#14579160C22semidirect
69. C2×#14579160C22semidirect
70. C2×#14579160C22semidirect
71. C2×#14579159C22semidirect
76. C2×#14579156C22semidirect
77. C2×#14579156C22semidirect
81. C2×#14579154C22semidirect
82. C2×#14579154C22semidirect
83. C2×#14579154C22semidirect
84. C2×#14579153C22semidirect
85. C2×#14579152C22semidirect
86. C2×#14579152C22semidirect
87. C2×#14579151C22semidirect
88. C2×#14579151C22semidirect
89. C2×#14579151C22semidirect
90. C2×#14579151C22semidirect
91. C2×#14579150C22semidirect
100. C2×#14579147C22semidirect
101. C2×#14579147C22semidirect
102. #19099072C22semidirect
103. #19099071C22semidirect
108. C2×#14579146C22semidirect
109. C2×#14579145C22semidirect
112. C2×#14579144C22semidirect
113. C2×#14579144C22semidirect
116. C2×#14579143C22semidirect
121. C2×#14579141C22semidirect
122. C2×#14579141C22semidirect
124. C2×#14579140C22semidirect
125. C2×#14579140C22semidirect
126. C2×#14579140C22semidirect
134. C2×#14579139C22semidirect
135. C2×#14579139C22semidirect
136. C2×#14579139C22semidirect
137. C2×#14579139C22semidirect
138. C2×#14579139C22semidirect
139. C2×#14579139C22semidirect
143. C2×#14579138C22semidirect
144. C2×#14579138C22semidirect
146. C22⋊Q8×D79C22semidirect
157. C2×#14579134C22semidirect
160. C2×#14579133C22semidirect
164. C2×#14579132C22semidirect
169. C2×C4×Dic158C22semidirect
170. C2×C4×Dic158C22semidirect
171. C2×#14579126C22semidirect
172. C2×#14579126C22semidirect
173. C2×#14579126C22semidirect
186. C2×C4×C22⋊D79C22semidirect
190. C2×(C22⋊D79)⋊C4C22semidirect
191. C2×#14579119C22semidirect
193. C2×#14579118C22semidirect
195. C2×#14579117C22semidirect
199. C2×C4⋊C4×D79C22semidirect
200. C2×C4⋊C4×D79C22semidirect
203. #539×C79C22semidirect
205. C2×#126×C79C22semidirect
206. C2×#125×C79C22semidirect
207. C2×#125×C79C22semidirect
211. C2×#123×C79C22semidirect
213. C2×C22⋊Q8×C79C22semidirect
214. C2×C22⋊Q8×C79C22semidirect
217. C2×C4×D4×C79C22semidirect
218. C22×C4⋊C4×C79C22semidirect
223. C2×#11929624C23semidirect
236. C22×Dic158C23semidirect
273. #14579160C23semidirect
274. #14579160C23semidirect
275. #14579160C23semidirect
276. #14579160C23semidirect
277. #14579160C23semidirect
278. #14579159C23semidirect
283. #14579156C23semidirect
284. #14579156C23semidirect
288. #14579154C23semidirect
289. #14579154C23semidirect
290. #14579154C23semidirect
291. #14579153C23semidirect
292. #14579152C23semidirect
293. #14579152C23semidirect
294. #14579151C23semidirect
295. #14579151C23semidirect
296. #14579151C23semidirect
297. #14579151C23semidirect
298. #14579150C23semidirect
307. #14579147C23semidirect
308. #14579147C23semidirect
313. #14579146C23semidirect
314. #14579145C23semidirect
317. #14579144C23semidirect
318. #14579144C23semidirect
321. #14579143C23semidirect
326. #14579141C23semidirect
327. #14579141C23semidirect
329. #14579140C23semidirect
330. #14579140C23semidirect
331. #14579140C23semidirect
339. #14579139C23semidirect
340. #14579139C23semidirect
341. #14579139C23semidirect
342. #14579139C23semidirect
343. #14579139C23semidirect
344. #14579139C23semidirect
348. #14579138C23semidirect
349. #14579138C23semidirect
361. #14579134C23semidirect
364. #14579133C23semidirect
368. #14579132C23semidirect
373. C4×Dic158C23semidirect
374. C4×Dic158C23semidirect
375. #14579126C23semidirect
376. #14579126C23semidirect
377. #14579126C23semidirect
390. C4×C22⋊D79C23semidirect
394. (C22⋊D79)⋊C4C23semidirect
395. #14579119C23semidirect
397. #14579118C23semidirect
399. #14579117C23semidirect
437. C4⋊C4×D79C23semidirect
438. C4⋊C4×D79C23semidirect
495. #126×C79C23semidirect
496. #125×C79C23semidirect
497. #125×C79C23semidirect
501. #123×C79C23semidirect
503. C22⋊Q8×C79C23semidirect
504. C22⋊Q8×C79C23semidirect
507. C4×D4×C79C23semidirect
522. C2×C4⋊C4×C79C23semidirect
972. C2×C79#3541semidirect
1002. C2×#539D79semidirect
1012. C79C2×#3541semidirect
1040. #539C2×D79semidirect
1066. C2×#126C2×D79semidirect
1074. C2×#125C2×D79semidirect
1075. C2×#125C2×D79semidirect
1106. C2×#123C2×D79semidirect
1137. C2×C22⋊Q8C2×D79semidirect
1138. C2×C22⋊Q8C2×D79semidirect
1185. C2×C4×D4C2×D79semidirect
1196. C22×C4⋊C4C2×D79semidirect
1281. #126C22×D79semidirect
1289. #125C22×D79semidirect
1290. #125C22×D79semidirect
1319. #123C22×D79semidirect
1349. C22⋊Q8C22×D79semidirect
1350. C22⋊Q8C22×D79semidirect
1397. C4×D4C22×D79semidirect
1456. C2×C4⋊C4C22×D79semidirect
1955. C2#23777692direct (N × H)

Maximal subgroups

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

subgroupindex
#237776922
C2×#190993172
C2×#190993142
C2×#190993102
C2×#190993092
C2×#190992802
C2×#190992692
C2×#190992682
C2×#190992642
C2×#190992632
C2×#190992582
C2×#190992452
C2×#190992262
C2×#190992232
C2×#190992222
C2×#190992142
C2×#190991832
C2×#190991812
C2×#190991782
C2×#190991702
C2×#190991562
C2×#190991522
C2×#190991492
C2×#190991452
C2×#190991422
C2×#190991352
C2×#190990722
C2×#190990712
C2×C22⋊Q8×D792
C2×#539×C792
C2×#354179