Finite Group Databasebeta

← C2×#23777611 #35195472

Subgroups — C2×#23777611 #35195472

Order 20224.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777611C2132yesmaximal, direct product factor
2C2×#19099314C211yesmaximal, characteristic, complemented
3C2×#19099310C211yesmaximal, characteristic, complemented
4C2×#19099309C211yesmaximal, characteristic, complemented
5C2×#19099274C211yesmaximal, characteristic, complemented
6C2×#19099269C211yesmaximal, characteristic, complemented
7C2×#19099251C211yesmaximal, characteristic, complemented
8C2×#19099249C211yesmaximal, characteristic, complemented
9C2×#19099240C211yesmaximal, characteristic, complemented
10C2×#19099238C211yesmaximal, characteristic, complemented
11C2×#19099238C211yesmaximal, characteristic, complemented
12C2×#19099238C211yesmaximal, characteristic, complemented
13C2×#19099216C211yesmaximal, characteristic, complemented
14C2×#19099215C211yesmaximal, characteristic, complemented
15C2×#19099206C211yesmaximal, characteristic, complemented
16C2×#19099205C211yesmaximal, characteristic, complemented
17C2×#19099190C211yesmaximal, characteristic, complemented
18C2×#19099188C211yesmaximal, characteristic, complemented
19C2×#19099179C211yesmaximal, characteristic, complemented
20C2×#19099177C211yesmaximal, characteristic, complemented
21C2×#19099161C211yesmaximal, characteristic, complemented
22C2×#19099161C211yesmaximal, characteristic, complemented
23C2×#19099156C211yesmaximal, characteristic, complemented
24C2×#19099154C211yesmaximal, characteristic, complemented
25C2×#19099154C211yesmaximal, characteristic, complemented
26C2×#19099152C211yesmaximal, characteristic, complemented
27C2×#19099138C211yesmaximal, characteristic, complemented
28C2×#19099136C211yesmaximal, characteristic, complemented
29C2×#19099076C211yesmaximal, characteristic, complemented
30C2×#123×D79C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
32C2×#563×C79C211yesmaximal, characteristic, complemented
33C22×#11929625C2211yescharacteristic
34C22×#11929625C2211yescharacteristic, complemented
35C22×#11929624C2211yescharacteristic
36C22×Q8×D79C2211yescharacteristic, complemented
37C22×D4×D79C2211yescharacteristic
38C23×C4×D79C2211yescharacteristic
39#19099314C22116yescomplemented
40#19099310C22116yescomplemented
41#19099309C22116yescomplemented
42#19099274C22116yescomplemented
43#19099269C22116yescomplemented
44#19099251C22116yescomplemented
45#19099249C22116yescomplemented
46#19099240C22116yescomplemented
47#19099238C22116yescomplemented
48#19099238C22116yescomplemented
49#19099238C22116yescomplemented
50#19099216C22116yescomplemented
51#19099215C22116yescomplemented
52#19099206C22116yescomplemented
53#19099205C22116yescomplemented
54#19099190C22116yescomplemented
55#19099188C22116yescomplemented
56#19099179C22116yescomplemented
57#19099177C22116yescomplemented
58#19099161C22116yescomplemented
59#19099161C22116yescomplemented
60#19099156C22116yescomplemented
61#19099154C22116yescomplemented
62#19099154C22116yescomplemented
63#19099152C22116yescomplemented
64#19099138C22116yescomplemented
65#19099136C22116yescomplemented
66C2×#14579160C2211yescharacteristic, complemented
67C2×#14579160C2211yescharacteristic, complemented
68C2×#14579159C2211yescharacteristic, complemented
69C2×#14579159C2211yescharacteristic, complemented
70C2×#14579156C2211yescharacteristic, complemented
71C2×#14579156C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579156C2211yescharacteristic, complemented
74C2×#14579155C2211yescharacteristic, complemented
75C2×#14579154C2211yescharacteristic, complemented
76C2×#14579154C2211yescharacteristic, complemented
77C2×#14579154C2211yescharacteristic, complemented
78C2×#14579153C2211yescharacteristic, complemented
79C2×#14579152C2211yescharacteristic, complemented
80C2×#14579152C2211yescharacteristic, complemented
81C2×#14579152C2211yescharacteristic, complemented
82C2×#14579152C2211yescharacteristic, complemented
83C2×#14579151C2211yescharacteristic, complemented
84C2×#14579151C2211yescharacteristic, complemented
85C2×#14579151C2211yescharacteristic, complemented
86C2×#14579150C2211yescharacteristic, complemented
87C2×#14579149C2211yescharacteristic, complemented
88C2×#14579147C2211yescharacteristic
89C2×#14579147C2211yescharacteristic, complemented
90C2×#14579147C2211yescharacteristic, complemented
91C2×#14579147C2211yescharacteristic, complemented
92C2×#14579147C2211yescharacteristic, complemented
93#19099076C22116yescomplemented
94C2×#14579146C2211yescharacteristic
95C2×#14579146C2211yescharacteristic
96C2×#14579146C2211yescharacteristic
97C2×#14579146C2211yescharacteristic
98C2×#14579146C2211yescharacteristic
99C2×#14579146C2211yescharacteristic, complemented
100C2×#14579146C2211yescharacteristic, complemented
101C2×#14579146C2211yescharacteristic, complemented
102C2×#14579146C2211yescharacteristic, complemented
103C2×#14579146C2211yescharacteristic, complemented
104C2×#14579146C2211yescharacteristic, complemented
105C2×#14579146C2211yescharacteristic, complemented
106C2×#14579146C2211yescharacteristic, complemented
107C2×#14579146C2211yescharacteristic, complemented
108C2×#14579145C2211yescharacteristic
109C2×#14579145C2211yescharacteristic, complemented
110C2×#14579144C2211yescharacteristic
111C2×#14579143C2211yescharacteristic
112C2×#14579143C2211yescharacteristic
113C2×#14579143C2211yescharacteristic
114C2×#14579143C2211yescharacteristic
115C2×#14579143C2211yescharacteristic, complemented
116C2×#14579143C2211yescharacteristic, complemented
117C2×#14579143C2211yescharacteristic, complemented
118C2×#14579143C2211yescharacteristic, complemented
119C2×#14579142C2211yescharacteristic
120#123×D79C22116yescomplemented
121C2×#14579141C2211yescharacteristic
122C2×#14579141C2211yescharacteristic
123C2×#14579141C2211yescharacteristic, complemented
124C2×#14579141C2211yescharacteristic, complemented
125C2×#14579141C2211yescharacteristic, complemented
126C2×#14579141C2211yescharacteristic, complemented
127C2×#14579141C2211yescharacteristic, complemented
128C2×#14579140C2211yescharacteristic, complemented
129C2×#14579140C2211yescharacteristic, complemented
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×#14579139C2211yescharacteristic, complemented
141C2×#14579138C2211yescharacteristic, complemented
142C2×#14579138C2211yescharacteristic, complemented
143C2×#14579138C2211yescharacteristic, complemented
144C2×#14579138C2211yescharacteristic, complemented
145C2×#14579137C2211yescharacteristic
146C2×#14579137C2211yescharacteristic
147C2×#14579137C2211yescharacteristic
148C2×#14579137C2211yescharacteristic, complemented
149C2×#14579137C2211yescharacteristic, complemented
150C2×#14579137C2211yescharacteristic, complemented
151C22⋊Q8×D79C22116yescomplemented
152C2×#14579136C2211yescharacteristic
153C2×#14579136C2211yescharacteristic
154C2×#14579136C2211yescharacteristic, complemented
155C2×#14579135C2211yescharacteristic, complemented
156C2×#14579134C2211yescharacteristic
157C2×#14579134C2211yescharacteristic
158C2×#14579134C2211yescharacteristic
159C2×#14579134C2211yescharacteristic, complemented
160C2×#14579133C2211yescharacteristic
161C2×#14579132C2211yescharacteristic
162C2×#14579131C2211yescharacteristic
163C2×#14579131C2211yescharacteristic
164C2×#14579131C2211yescharacteristic
165C2×#14579131C2211yescharacteristic
166C2×C4×Dic158C2211yescharacteristic, complemented
167C2×C4×Dic158C2211yescharacteristic, complemented
168C2×C4×D316C2211yescharacteristic
169C2×C4×D316C2211yescharacteristic
170C2×C4×D316C2211yescharacteristic
171C2×C4×D316C2211yescharacteristic, complemented
172C2×C4×D316C2211yescharacteristic, complemented
173C2×#14579123C2211yescharacteristic
174C2×#14579123C2211yescharacteristic
175C2×#14579123C2211yescharacteristic
176C2×#14579123C2211yescharacteristic
177C2×#14579123C2211yescharacteristic, complemented
178C2×C4×C22⋊D79C2211yescharacteristic, complemented
179C2×(C22⋊D79)⋊C4C2211yescharacteristic
180C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
182C2×#14579119C2211yescharacteristic
183C2×#14579119C2211yescharacteristic, complemented
184C2×#14579119C2211yescharacteristic, complemented
185C2×#14579119C2211yescharacteristic, complemented
186C2×#14579118C2211yescharacteristic
187C2×#14579118C2211yescharacteristic, complemented
188C2×#14579117C2211yescharacteristic, complemented
189C2×C4⋊C4×D79C2211yescharacteristic
190C2×C4⋊C4×D79C2211yescharacteristic
191C2×C4⋊C4×D79C2211yescharacteristic, complemented
192C2×C4⋊C4×D79C2211yescharacteristic, complemented
193C2×C4⋊C4×D79C2211yescharacteristic, complemented
194C2×C4⋊C4×D79C2211yescharacteristic, complemented
195C2×C4⋊C4×D79C2211yescharacteristic, complemented
196C22×(C2×D79)⋊C4C2211yescharacteristic
197C2×C22⋊C4×D79C2211yescharacteristic
198C2×C22⋊C4×D79C2211yescharacteristic
199C2×C22⋊C4×D79C2211yescharacteristic
200C2×C22⋊C4×D79C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203#563×C79C22116yescomplemented
204C2×C4⋊Q8×C79C2211yescharacteristic, complemented
205C2×C4⋊Q8×C79C2211yescharacteristic, complemented
206C2×#126×C79C2211yescharacteristic, complemented
207C2×#126×C79C2211yescharacteristic, complemented
208C2×#126×C79C2211yescharacteristic, complemented
209C2×#126×C79C2211yescharacteristic, complemented
210C2×#125×C79C2211yescharacteristic, complemented
211C2×#125×C79C2211yescharacteristic, complemented
212C2×#124×C79C2211yescharacteristic
213C2×#123×C79C2211yescharacteristic
214C2×#123×C79C2211yescharacteristic
215C2×C22⋊Q8×C79C2211yescharacteristic, complemented
216C2×C22⋊Q8×C79C2211yescharacteristic, complemented
217C2×C22⋊Q8×C79C2211yescharacteristic, complemented
218C2×C22⋊Q8×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221C2×#11929625—44no—
222C2×#11929625—44no—
223C2×#11929625C2318yes—
224C2×#11929625C2318yescomplemented
225C2×#11929624—44no—
226C2×#11929624C2318yes—
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C2×Q8×D79—44no—
234C2×Q8×D79C2318yescomplemented
235C22×D316C2311yescharacteristic
236C22×D316C2311yescharacteristic
237C22×D316C2311yescharacteristic
238C22×D316C2311yescharacteristic
239C22×D316C2311yescharacteristic
240C22×D316C2311yescharacteristic
241C22×D316C2311yescharacteristic
242C22×D316C2311yescharacteristic
243C22×C22⋊D79C2311yescharacteristic
244C22×C22⋊D79C2311yescharacteristic
245C22×C22⋊D79C2311yescharacteristic
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C2×D4×D79—44no—
250C2×D4×D79C2318yes—
251C23×Dic79C2311yescharacteristic
252C23×Dic79C2311yescharacteristic
253C22×C4×D79—44no—
254C22×C4×D79C2311yescharacteristic
255C22×C4×D79C2311yescharacteristic
256C22×C4×D79C2311yescharacteristic
257C22×C4×D79C2311yescharacteristic
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×D79C2311yescharacteristic
273C22×C4×D79C2318yes—
274#14579160C2318yescomplemented
275#14579160C2318yescomplemented
276#14579159C2318yescomplemented
277#14579159C2318yescomplemented
278#14579156C2318yescomplemented
279#14579156C2318yescomplemented
280#14579156C2318yescomplemented
281#14579156C2318yescomplemented
282#14579155C2318yescomplemented
283#14579154C2318yescomplemented
284#14579154C2318yescomplemented
285#14579154C2318yescomplemented
286#14579153C2318yescomplemented
287#14579152C2318yescomplemented
288#14579152C2318yescomplemented
289#14579152C2318yescomplemented
290#14579152C2318yescomplemented
291#14579151C2318yescomplemented
292#14579151C2318yescomplemented
293#14579151C2318yescomplemented
294#14579150C2318yescomplemented
295#14579149C2318yescomplemented
296#14579147C2318yes—
297#14579147C2318yescomplemented
298#14579147C2318yescomplemented
299#14579147C2318yescomplemented
300#14579147C2318yescomplemented
301#14579146C2318yes—
302#14579146C2318yes—
303#14579146C2318yes—
304#14579146C2318yes—
305#14579146C2318yes—
306#14579146C2318yescomplemented
307#14579146C2318yescomplemented
308#14579146C2318yescomplemented
309#14579146C2318yescomplemented
310#14579146C2318yescomplemented
311#14579146C2318yescomplemented
312#14579146C2318yescomplemented
313#14579146C2318yescomplemented
314#14579146C2318yescomplemented
315#14579145C2318yes—
316#14579145C2318yescomplemented
317#14579144C2318yes—
318#14579143C2318yes—
319#14579143C2318yes—
320#14579143C2318yes—
321#14579143C2318yes—
322#14579143C2318yescomplemented
323#14579143C2318yescomplemented
324#14579143C2318yescomplemented
325#14579143C2318yescomplemented
326#14579142C2318yes—
327#14579141C2318yes—
328#14579141C2318yes—
329#14579141C2318yescomplemented
330#14579141C2318yescomplemented
331#14579141C2318yescomplemented
332#14579141C2318yescomplemented
333#14579141C2318yescomplemented
334#14579140C2318yescomplemented
335#14579140C2318yescomplemented
336#14579139C2318yes—
337#14579139C2318yes—
338#14579139C2318yes—
339#14579139C2318yes—
340#14579139C2318yescomplemented
341#14579139C2318yescomplemented
342#14579139C2318yescomplemented
343#14579139C2318yescomplemented
344#14579139C2318yescomplemented
345#14579139C2318yescomplemented
346#14579139C2318yescomplemented
347#14579138C2318yescomplemented
348#14579138C2318yescomplemented
349#14579138C2318yescomplemented
350#14579138C2318yescomplemented
351#14579137C2318yes—
352#14579137C2318yes—
353#14579137C2318yes—
354#14579137C2318yescomplemented
355#14579137C2318yescomplemented
356#14579137C2318yescomplemented
357#14579136C2318yes—
358#14579136C2318yes—
359#14579136C2318yescomplemented
360#14579135C2318yescomplemented
361#14579134C2318yes—
362#14579134C2318yes—
363#14579134C2318yes—
364#14579134C2318yescomplemented
365#14579133C2318yes—
366#14579132C2318yes—
367#14579131C2318yes—
368#14579131C2318yes—
369#14579131C2318yes—
370#14579131C2318yes—
371C4×Dic158C2318yescomplemented
372C4×Dic158C2318yescomplemented
373C4×D316C2318yes—
374C4×D316C2318yes—
375C4×D316C2318yes—
376C4×D316C2318yescomplemented
377C4×D316C2318yescomplemented
378#14579123C2318yes—
379#14579123C2318yes—
380#14579123C2318yes—
381#14579123C2318yes—
382#14579123C2318yescomplemented
383C4×C22⋊D79C2318yescomplemented
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yescomplemented
386(C22⋊D79)⋊C4C2318yescomplemented
387#14579119C2318yes—
388#14579119C2318yescomplemented
389#14579119C2318yescomplemented
390#14579119C2318yescomplemented
391#14579118C2318yes—
392#14579118C2318yescomplemented
393#14579117C2318yescomplemented
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×C4⋊Dic79C2311yescharacteristic
405C2×C4⋊Dic79C2311yescharacteristic
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
428C4⋊C4×D79C2318yes—
429C4⋊C4×D79C2318yes—
430C4⋊C4×D79C2318yescomplemented
431C4⋊C4×D79C2318yescomplemented
432C4⋊C4×D79C2318yescomplemented
433C4⋊C4×D79C2318yescomplemented
434C4⋊C4×D79C2318yescomplemented
435C2×C22⋊Dic79C2311yescharacteristic
436C2×C22⋊Dic79C2311yescharacteristic
437C2×C22⋊Dic79C2311yescharacteristic
438C2×C22⋊Dic79C2311yescharacteristic
439C2×C22⋊Dic79C2311yescharacteristic
440C2×C22⋊Dic79C2311yescharacteristic
441C2×(C2×D79)⋊C4C2318yes—
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×(C2×D79)⋊C4C2311yescharacteristic
470C2×(C2×D79)⋊C4C2311yescharacteristic
471C2×(C2×D79)⋊C4C2311yescharacteristic
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2318yes—
474C22⋊C4×D79C2318yes—
475C22⋊C4×D79C2318yes—
476C22⋊C4×D79C2318yes—
477C22⋊C4×D79C2318yes—
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×Q8×C79C2311yescharacteristic
487C22×Q8×C79C2311yescharacteristic
488C22×D4×C79C2311yescharacteristic
489C23×C4×C79C2311yescharacteristic
490C23×C4×C79C2311yescharacteristic
491C4⋊Q8×C79C2318yescomplemented
492C4⋊Q8×C79C2318yescomplemented
493#126×C79C2318yescomplemented
494#126×C79C2318yescomplemented
495#126×C79C2318yescomplemented
496#126×C79C2318yescomplemented
497#125×C79C2318yescomplemented
498#125×C79C2318yescomplemented
499#124×C79C2318yes—
500#123×C79C2318yes—
501#123×C79C2318yes—
502C22⋊Q8×C79C2318yescomplemented
503C22⋊Q8×C79C2318yescomplemented
504C22⋊Q8×C79C2318yescomplemented
505C22⋊Q8×C79C2318yescomplemented
506C2×C4⋊C4×C79C2311yescharacteristic
507C2×C4⋊C4×C79C2311yescharacteristic
508C2×C4⋊C4×C79C2311yescharacteristic
509C2×C4⋊C4×C79C2311yescharacteristic
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C4⋊C4×C79C2311yescharacteristic
513C2×C4⋊C4×C79C2311yescharacteristic
514C2×C4⋊C4×C79C2311yescharacteristic
515C2×C4⋊C4×C79C2311yescharacteristic
516C2×C4⋊C4×C79C2311yescharacteristic
517C2×C4⋊C4×C79C2311yescharacteristic
518C2×C4⋊C4×C79C2311yescharacteristic
519C2×C4⋊C4×C79C2311yescharacteristic
520C2×C4⋊C4×C79C2311yescharacteristic
521C2×C4⋊C4×C79C2311yescharacteristic
522C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79C2311yescharacteristic
533C2×C42×C79C2311yescharacteristic
534C2×C42×C79C2311yescharacteristic
535C23×D79—24no—
536C23×D79—24no—
537C23×D79—24no—
538C23×D79—42no—
539C23×D79—42no—
540C23×D79—42no—
541C23×D79C2411yescharacteristic
542C23×D79C2411yescharacteristic
543C23×D79C2411yescharacteristic
544C23×D79C2414yes—
545C23×D79C2411yescharacteristic
546C23×D79C2411yescharacteristic
547C23×D79C2414yes—
548#11929625—416no—
549#11929625—416no—
550#11929624—416no—
551C2×Dic158—42no—
552C2×Dic158—42no—
553C2×Dic158—42no—
554C2×Dic158—42no—
555C2×Dic158—42no—
556C2×Dic158—42no—
557C2×Dic158C2414yes—
558C2×Dic158C2414yes—
559C2×Dic158C2414yes—
560C2×Dic158C2414yes—
561C2×Dic158C2414yes—
562C2×Dic158C2414yes—
563Q8×D79—416no—
564C2×D316—24no—
565C2×D316—24no—
566C2×D316—24no—
567C2×D316—24no—
568C2×D316—24no—
569C2×D316—42no—
570C2×D316—42no—
571C2×D316—42no—
572C2×D316C2414yes—
573C2×D316C2414yes—
574C2×D316C2414yes—
575C2×D316C2414yes—
576C2×D316C2414yes—
577C2×D316C2414yes—
578C2×D316C2414yes—
579C2×D316C2414yes—
580C2×C22⋊D79—24no—
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—
592D4×D79—416no—
593C22×Dic79—42no—
594C22×Dic79—42no—
595C22×Dic79C2411yescharacteristic
596C22×Dic79C2411yescharacteristic
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2411yescharacteristic
600C22×Dic79C2411yescharacteristic
601C22×Dic79C2411yescharacteristic
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2411yescharacteristic
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C22×Dic79C2414yes—
607C22×Dic79C2414yes—
608C2×C4×D79—24no—
609C2×C4×D79—24no—
610C2×C4×D79—24no—
611C2×C4×D79—24no—
612C2×C4×D79—24no—
613C2×C4×D79—42no—
614C2×C4×D79—42no—
615C2×C4×D79—42no—
616C2×C4×D79—42no—
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—416no—
628C2×C4×D79C2414yes—
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—
643C2×C4×D79C2414yes—
644C2×C4×D79C2414yes—
645C2×C4×D79C2414yes—
646C2×C4×D79C2414yes—
647C4⋊Dic79C2414yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2414yes—
650C4⋊Dic79C2414yes—
651C4⋊Dic79C2414yes—
652C4⋊Dic79C2414yes—
653C4⋊Dic79C2414yes—
654C4⋊Dic79C2414yes—
655C4⋊Dic79C2414yes—
656C4⋊Dic79C2414yes—
657C4⋊Dic79C2414yes—
658C4⋊Dic79C2414yes—
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—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
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—
711(C2×D79)⋊C4C2414yes—
712(C2×D79)⋊C4C2414yes—
713(C2×D79)⋊C4C2414yes—
714(C2×D79)⋊C4C2414yes—
715(C2×D79)⋊C4C2414yes—
716(C2×D79)⋊C4C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C4×Dic79C2414yes—
722C4×Dic79C2414yes—
723C4×Dic79C2414yes—
724C24×C79C2411yescharacteristic
725C24×C79C2411yescharacteristic
726C2×Q8×C79—42no—
727C2×Q8×C79—42no—
728C2×Q8×C79—42no—
729C2×Q8×C79C2414yes—
730C2×Q8×C79C2414yes—
731C2×Q8×C79C2414yes—
732C2×D4×C79—42no—
733C2×D4×C79C2414yes—
734C22×C4×C79—42no—
735C22×C4×C79—42no—
736C22×C4×C79C2411yescharacteristic
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—
751C4⋊C4×C79C2414yes—
752C4⋊C4×C79C2414yes—
753C4⋊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—
767C22⋊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—
777C42×C79C2414yes—
778C42×C79C2414yes—
779C42×C79C2414yes—
780C23×C79—22no—
781C23×C79—22no—
782C23×C79—22no—
783C23×C79—22no—
784C23×C79—22no—
785C23×C79—22no—
786C23×C79C2512yes—
787C23×C79C2512yes—
788C23×C79C2511yescharacteristic
789C22×D79—22no—
790C22×D79—22no—
791C22×D79—22no—
792C22×D79—22no—
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—28no—
803C22×D79—28no—
804C22×D79—28no—
805C22×D79—44no—
806C22×D79—416no—
807C22×D79—44no—
808C22×D79—44no—
809C22×D79—88no—
810C22×D79H(5,𝔽2)14yes—
811C22×D792−1+414yes—
812C22×D79C2512yes—
813C22×D79C2512yes—
814C22×D79C2512yes—
815C22×D79C2512yes—
816C22×D79C2512yes—
817Q8×C79—44no—
818Q8×C79—44no—
819Q8×C79—44no—
820D4×C79—44no—
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—22no—
830C2×C4×C79—22no—
831C2×C4×C79—22no—
832C2×C4×C79—22no—
833C2×C4×C79—22no—
834C2×C4×C79—44no—
835C2×C4×C79—44no—
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—
846C2×C4×C79C2512yes—
847C2×C4×C79C2512yes—
848C2×C4×C79C2512yes—
849C22⋊D79—28no—
850C22⋊D79—44no—
851C22⋊D79—44no—
852C22⋊D79—44no—
853C22⋊D79—44no—
854C22⋊D79—44no—
855C2×Dic79—22no—
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—44no—
867C2×Dic79—44no—
868C2×Dic79C2512yes—
869C2×Dic79C2512yes—
870C2×Dic79C2512yes—
871C2×Dic79C2512yes—
872C2×Dic79C2512yes—
873C2×Dic79C2512yes—
874C2×Dic79C2512yes—
875C2×Dic79C2512yes—
876C2×Dic79C2512yes—
877C2×Dic79C2512yes—
878C2×Dic79C2512yes—
879D316—28no—
880D316—28no—
881D316—28no—
882D316—28no—
883D316—28no—
884D316—44no—
885D316—44no—
886D316—44no—
887C4×D79—28no—
888C4×D79—28no—
889C4×D79—28no—
890C4×D79—28no—
891C4×D79—28no—
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—
902C4×D79—44no—
903C4×D79—44no—
904C4×D79—44no—
905C4×D79—44no—
906Dic158—44no—
907Dic158—44no—
908Dic158—44no—
909Dic158—44no—
910Dic158—44no—
911Dic158—44no—
912C22×C79—22no—
913C22×C79—22no—
914C22×C79—22no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—44no—
919C22×C79—44no—
920C22×C79C2×H(5,𝔽2)12yes—
921C22×C79C2×2−1+412yes—
922C22×C79#58512yes—
923C22×C79C2611yescharacteristic
924C2×D79—22no—
925C2×D79—22no—
926C2×D79—22no—
927C2×D79—22no—
928C2×D79—28no—
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×D79—88no—
944C2×D79C2×H(5,𝔽2)14yes—
945C2×D79C2×2−1+414yes—
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—
956C4×C79—22no—
957C4×C79—22no—
958C4×C79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79—22no—
968Dic79—22no—
969Dic79—22no—
970C2×#3535—791nomaximal, Sylow
971C2×C79—42no—
972C2×C79—42no—
973C2×C79#353514yescomplemented
974C2×C79C22×H(5,𝔽2)11yescharacteristic
975C2×C79C22×2−1+411yescharacteristic
976C2×C79C2×#58511yescharacteristic
977D79—24no—
978D79—24no—
979D79—42no—
980D79—42no—
981D79—42no—
982#3535—7932no—
983C2×#563—791no—
984C2×#563D7911yescharacteristic, complemented
985C2×#562—791no—
986C2×#562—791no—
987C2×#554—791no—
988C2×#554—791no—
989C2×#552—791no—
990C2×#552—791no—
991C2×#551—791no—
992C2×#551—791no—
993C2×#551—791no—
994C2×#551—791no—
995C2×#547—791no—
996C2×#547—791no—
997C2×#546—791no—
998C2×#546—791no—
999C2×#544—791no—
1000C2×#543—791no—
1001C2×#542—791no—
1002C2×#542—791no—
1003C2×#539—791no—
1004C2×#539—791no—
1005C2×#539—791no—
1006C2×#539—791no—
1007C2×#539—791no—
1008C2×#538—791no—
1009C2×#536—791no—
1010C2×#536—791no—
1011C2×#525—791no—
1012C22×#123—791no—
1013C22×C22⋊Q8—791no—
1014C79C2×#353511yescharacteristic, complemented, Sylow
1015C22×#41—791no—
1016C22×#41—791no—
1017C22×#41—791no—
1018C23×Q8—791no—
1019C23×D4—791no—
1020C24×C4—791no—
1021#563—7916no—
1022#563C2×D79116yescomplemented
1023#562—7916no—
1024#562—7916no—
1025#554—7916no—
1026#554—7916no—
1027#552—7916no—
1028#552—7916no—
1029#551—7916no—
1030#551—7916no—
1031#551—7916no—
1032#551—7916no—
1033#547—7916no—
1034#547—7916no—
1035#546—7916no—
1036#546—7916no—
1037#544—7916no—
1038#543—7916no—
1039#542—7916no—
1040#542—7916no—
1041#539—7916no—
1042#539—7916no—
1043#539—7916no—
1044#539—7916no—
1045#539—7916no—
1046#538—7916no—
1047#536—7916no—
1048#536—7916no—
1049C2×C4⋊Q8—791no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1054C2×C4⋊Q8C2×D7911yescharacteristic, complemented
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×#126C2×D7911yescharacteristic, complemented
1064C2×#126C2×D7911yescharacteristic, complemented
1065C2×#126C2×D7911yescharacteristic, complemented
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×#125—791no—
1075C2×#125C2×D7911yescharacteristic, complemented
1076C2×#125C2×D7911yescharacteristic, complemented
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—791no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124—791no—
1084C2×#124C2×D7911yescharacteristic
1085#525—7916no—
1086C2×#123—791no—
1087C2×#123—791no—
1088C2×#123—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×#123—791no—
1104C2×#123—791no—
1105C2×#123—791no—
1106C2×#123—791no—
1107C2×#123—791no—
1108C2×#123—791no—
1109C2×#123—791no—
1110C2×#123—791no—
1111C2×#123—791no—
1112C2×#123—791no—
1113C2×#123C2×D7911yescharacteristic
1114C2×#123C2×D7911yescharacteristic
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—7916no—
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⋊Q8—791no—
1137C2×C22⋊Q8—791no—
1138C2×C22⋊Q8—791no—
1139C2×C22⋊Q8—791no—
1140C2×C22⋊Q8—791no—
1141C2×C22⋊Q8—791no—
1142C2×C22⋊Q8—791no—
1143C2×C22⋊Q8—791no—
1144C2×C22⋊Q8—791no—
1145C2×C22⋊Q8—791no—
1146C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1147C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1148C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1149C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1150C2×#121—791no—
1151C2×#121—791no—
1152C2×#121—791no—
1153C2×#121—791no—
1154C2×#121—791no—
1155C2×#121—791no—
1156C2×#121—791no—
1157C2×#121—791no—
1158C2×#121—791no—
1159C2×#121—791no—
1160C2×#120—791no—
1161C2×#120—791no—
1162C2×#120—791no—
1163C2×#120—791no—
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×D4—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×#117—791no—
1181C2×#117—791no—
1182C2×#117—791no—
1183C2×#117—791no—
1184C2×#117—791no—
1185C2×#117—791no—
1186C2×#117—791no—
1187C22×C4⋊C4—791no—
1188C22×C4⋊C4—791no—
1189C22×C4⋊C4—791no—
1190C22×C4⋊C4—791no—
1191C22×C4⋊C4—791no—
1192C22×C4⋊C4—791no—
1193C22×C4⋊C4—791no—
1194C22×C22⋊C4—791no—
1195C22×C22⋊C4—791no—
1196C22×C22⋊C4—791no—
1197C22×C22⋊C4—791no—
1198C22×C22⋊C4—791no—
1199C22×C22⋊C4—791no—
1200C22×C22⋊C4—791no—
1201C25—791no—
1202C25—791no—
1203C2×#41—3164no—
1204C2×#41—3164no—
1205C2×#41—3164no—
1206C2×#41—798no—
1207C2×#41—798no—
1208C2×#41—798no—
1209C22×Q8—3164no—
1210C22×Q8—798no—
1211C22×Q8—791no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8—791no—
1215C22×Q8—791no—
1216C22×Q8—791no—
1217C22×Q8C22×D7911yescharacteristic
1218C22×Q8C22×D7911yescharacteristic
1219C22×Q8C22×D7911yescharacteristic
1220C22×D4—3164no—
1221C22×D4—791no—
1222C22×D4—791no—
1223C22×D4—791no—
1224C22×D4—791no—
1225C22×D4—791no—
1226C22×D4—798no—
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×D4—791no—
1236C22×D4C22×D7911yescharacteristic
1237C23×C4—3164no—
1238C23×C4—791no—
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—791no—
1252C23×C4—791no—
1253C23×C4—791no—
1254C23×C4—798no—
1255C23×C4—791no—
1256C23×C4—791no—
1257C23×C4—791no—
1258C23×C4—791no—
1259C23×C4—791no—
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8C22×D7918yescomplemented
1267C4⋊Q8C22×D7918yescomplemented
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#126C22×D7918yescomplemented
1277#126C22×D7918yescomplemented
1278#126C22×D7918yescomplemented
1279#126C22×D7918yescomplemented
1280#125—798no—
1281#125—798no—
1282#125—798no—
1283#125—798no—
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#125—798no—
1288#125C22×D7918yescomplemented
1289#125C22×D7918yescomplemented
1290#124—798no—
1291#124—798no—
1292#124—798no—
1293#124—798no—
1294#124—798no—
1295#124—798no—
1296#124—798no—
1297#124C22×D7918yes—
1298#123—798no—
1299#123—798no—
1300#123—798no—
1301#123—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#123—798no—
1317#123—798no—
1318#123—798no—
1319#123—798no—
1320#123—798no—
1321#123—798no—
1322#123—798no—
1323#123—798no—
1324#123C22×D7918yes—
1325#123C22×D7918yes—
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⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8—798no—
1351C22⋊Q8—798no—
1352C22⋊Q8—798no—
1353C22⋊Q8—798no—
1354C22⋊Q8—798no—
1355C22⋊Q8—798no—
1356C22⋊Q8C22×D7918yescomplemented
1357C22⋊Q8C22×D7918yescomplemented
1358C22⋊Q8C22×D7918yescomplemented
1359C22⋊Q8C22×D7918yescomplemented
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#121—798no—
1370#120—798no—
1371#120—798no—
1372#120—798no—
1373#120—798no—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×D4—798no—
1377C4×D4—798no—
1378C4×D4—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—
1390#117—798no—
1391#117—798no—
1392#117—798no—
1393#117—798no—
1394#117—798no—
1395#117—798no—
1396#117—798no—
1397C2×C4⋊C4—791no—
1398C2×C4⋊C4—791no—
1399C2×C4⋊C4—791no—
1400C2×C4⋊C4—791no—
1401C2×C4⋊C4—791no—
1402C2×C4⋊C4—791no—
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—798no—
1432C2×C4⋊C4—798no—
1433C2×C4⋊C4—798no—
1434C2×C4⋊C4—798no—
1435C2×C4⋊C4—798no—
1436C2×C4⋊C4—798no—
1437C2×C4⋊C4—798no—
1438C2×C4⋊C4C22×D7911yescharacteristic
1439C2×C4⋊C4C22×D7911yescharacteristic
1440C2×C4⋊C4C22×D7911yescharacteristic
1441C2×C4⋊C4C22×D7911yescharacteristic
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×C22⋊C4—791no—
1455C2×C22⋊C4—791no—
1456C2×C22⋊C4—791no—
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—798no—
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⋊C4—798no—
1494C2×C22⋊C4—798no—
1495C2×C22⋊C4—798no—
1496C2×C22⋊C4—798no—
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×C22⋊C4C22×D7911yescharacteristic
1504C2×C22⋊C4C22×D7911yescharacteristic
1505C2×C22⋊C4C22×D7911yescharacteristic
1506C2×C22⋊C4C22×D7911yescharacteristic
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42—791no—
1514C2×C42C22×D7911yescharacteristic
1515C2×C42C22×D7911yescharacteristic
1516C2×C42C22×D7911yescharacteristic
1517C24—3162no—
1518C24—3162no—
1519C24—3162no—
1520C24—794no—
1521C24—794no—
1522C24—791no—
1523C24—791no—
1524C24—791no—
1525C24—791no—
1526C24—791no—
1527C24—1584no—
1528C24—1584no—
1529C24—1584no—
1530C24C23×D7911yescharacteristic
1531C24C23×D7911yescharacteristic
1532#41—31616no—
1533#41—31616no—
1534#41—31616no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—3162no—
1539C2×Q8—3162no—
1540C2×Q8—3162no—
1541C2×Q8—3162no—
1542C2×Q8—3162no—
1543C2×Q8—3162no—
1544C2×Q8—31616no—
1545C2×Q8—794no—
1546C2×Q8—794no—
1547C2×Q8—794no—
1548C2×Q8—794no—
1549C2×Q8—794no—
1550C2×Q8—794no—
1551C2×Q8C23×D7914yes—
1552C2×Q8C23×D7914yes—
1553C2×Q8C23×D7914yes—
1554C2×D4—42no—
1555C2×D4—3162no—
1556C2×D4—3162no—
1557C2×D4—3162no—
1558C2×D4—31616no—
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—1584no—
1579C2×D4—1584no—
1580C2×D4—1584no—
1581C2×D4—1584no—
1582C2×D4—1584no—
1583C2×D4—1584no—
1584C2×D4C23×D7914yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—3162no—
1588C22×C4—3162no—
1589C22×C4—3162no—
1590C22×C4—3162no—
1591C22×C4—3162no—
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—31616no—
1602C22×C4—3162no—
1603C22×C4—3162no—
1604C22×C4—794no—
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—794no—
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—794no—
1635C22×C4—794no—
1636C22×C4—1584no—
1637C22×C4—1584no—
1638C22×C4—1584no—
1639C22×C4—1584no—
1640C22×C4—1584no—
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×D7911yescharacteristic
1652C22×C4C23×D7911yescharacteristic
1653C22×C4C23×D7911yescharacteristic
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—
1704C4⋊C4C23×D7914yes—
1705C4⋊C4C23×D7914yes—
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⋊C4—794no—
1739C22⋊C4—794no—
1740C22⋊C4—794no—
1741C22⋊C4—794no—
1742C22⋊C4C23×D7914yes—
1743C22⋊C4C23×D7914yes—
1744C22⋊C4C23×D7914yes—
1745C22⋊C4C23×D7914yes—
1746C22⋊C4C23×D7914yes—
1747C22⋊C4C23×D7914yes—
1748C22⋊C4C23×D7914yes—
1749C22⋊C4C23×D7914yes—
1750C22⋊C4C23×D7914yes—
1751C22⋊C4C23×D7914yes—
1752C42—794no—
1753C42—794no—
1754C42—794no—
1755C42—794no—
1756C42—794no—
1757C42—794no—
1758C42—794no—
1759C42C23×D7914yes—
1760C42C23×D7914yes—
1761C42C23×D7914yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—3164no—
1769C23—3164no—
1770C23—3164no—
1771C23—31616no—
1772C23—794no—
1773C23—794no—
1774C23—792no—
1775C23—792no—
1776C23—792no—
1777C23—792no—
1778C23—792no—
1779C23—6328no—
1780C23—1588no—
1781C23—1588no—
1782C23—1588no—
1783C23—1582no—
1784C23—1582no—
1785C23—1582no—
1786C23—1582no—
1787C23—1582no—
1788C23—1582no—
1789C23—1582no—
1790C23—1582no—
1791C23—1582no—
1792C23—1582no—
1793C23—1582no—
1794C23—1582no—
1795C23—1582no—
1796C23C24×D7912yes—
1797C23C24×D7912yes—
1798C23C24×D7911yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—3164no—
1803Q8—3164no—
1804Q8—3164no—
1805Q8—3164no—
1806Q8—3164no—
1807Q8—3164no—
1808D4—44no—
1809D4—3164no—
1810D4—3164no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—3164no—
1817D4—1588no—
1818D4—1588no—
1819D4—1588no—
1820D4—1588no—
1821D4—1588no—
1822D4—1588no—
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—22no—
1834C2×C4—22no—
1835C2×C4—22no—
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—3164no—
1851C2×C4—3164no—
1852C2×C4—3164no—
1853C2×C4—3164no—
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—792no—
1864C2×C4—792no—
1865C2×C4—1588no—
1866C2×C4—1588no—
1867C2×C4—1588no—
1868C2×C4—1588no—
1869C2×C4—1588no—
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×C4—1582no—
1880C2×C4—1582no—
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—
1891C2×C4C24×D7912yes—
1892C2×C4C24×D7912yes—
1893C2×C4C24×D7912yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—31616no—
1903C22—3164no—
1904C22—3164no—
1905C22—3164no—
1906C22—794no—
1907C22—794no—
1908C22—6328no—
1909C22—1582no—
1910C22—1582no—
1911C22—1582no—
1912C22—1582no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1588no—
1919C22—1588no—
1920C22—1582no—
1921C22—1582no—
1922C22—1582no—
1923C22—1582no—
1924C22H(5,𝔽2)×D7912yes—
1925C222−1+4×D7912yes—
1926C22#1909940012yes—
1927C22C25×D7911yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—1582no—
1942C4—1582no—
1943C4—1582no—
1944C4—1582no—
1945C4—1582no—
1946C4—1582no—
1947C4—1582no—
1948C4—1582no—
1949C4—1582no—
1950C4—1582no—
1951C4—1582no—
1952C2—42no—
1953C2—42no—
1954C2—3162no—
1955C2—3162no—
1956C2—3162no—
1957C2—1584no—
1958C2—1584no—
1959C2#2377761114yesdirect product factor
1960C2C2×H(5,𝔽2)×D7911yescharacteristic
1961C2C2×2−1+4×D7911yescharacteristic
1962C2C2×#1909940011yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#563×C79C2
socleC23×C79C25
hypercenterC2×#563D79
hypocenterC79C2×#3535
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #23777611C2direct (N × H)
2. C2×#19099314C2semidirect
3. C2×#19099310C2semidirect
4. C2×#19099309C2semidirect
5. C2×#19099274C2semidirect
6. C2×#19099269C2semidirect
7. C2×#19099251C2semidirect
8. C2×#19099249C2semidirect
9. C2×#19099240C2semidirect
10. C2×#19099238C2semidirect
11. C2×#19099238C2semidirect
12. C2×#19099238C2semidirect
13. C2×#19099216C2semidirect
14. C2×#19099215C2semidirect
15. C2×#19099206C2semidirect
16. C2×#19099205C2semidirect
17. C2×#19099190C2semidirect
18. C2×#19099188C2semidirect
19. C2×#19099179C2semidirect
20. C2×#19099177C2semidirect
21. C2×#19099161C2semidirect
22. C2×#19099161C2semidirect
23. C2×#19099156C2semidirect
24. C2×#19099154C2semidirect
25. C2×#19099154C2semidirect
26. C2×#19099152C2semidirect
27. C2×#19099138C2semidirect
28. C2×#19099136C2semidirect
29. C2×#19099076C2semidirect
30. C2×#123×D79C2semidirect
31. C2×C22⋊Q8×D79C2semidirect
32. C2×#563×C79C2semidirect
34. C22×#11929625C22semidirect
36. C22×Q8×D79C22semidirect
39. #19099314C22semidirect
40. #19099310C22semidirect
41. #19099309C22semidirect
42. #19099274C22semidirect
43. #19099269C22semidirect
44. #19099251C22semidirect
45. #19099249C22semidirect
46. #19099240C22semidirect
47. #19099238C22semidirect
48. #19099238C22semidirect
49. #19099238C22semidirect
50. #19099216C22semidirect
51. #19099215C22semidirect
52. #19099206C22semidirect
53. #19099205C22semidirect
54. #19099190C22semidirect
55. #19099188C22semidirect
56. #19099179C22semidirect
57. #19099177C22semidirect
58. #19099161C22semidirect
59. #19099161C22semidirect
60. #19099156C22semidirect
61. #19099154C22semidirect
62. #19099154C22semidirect
63. #19099152C22semidirect
64. #19099138C22semidirect
65. #19099136C22semidirect
66. C2×#14579160C22semidirect
67. C2×#14579160C22semidirect
68. C2×#14579159C22semidirect
69. C2×#14579159C22semidirect
70. C2×#14579156C22semidirect
71. C2×#14579156C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579156C22semidirect
74. C2×#14579155C22semidirect
75. C2×#14579154C22semidirect
76. C2×#14579154C22semidirect
77. C2×#14579154C22semidirect
78. C2×#14579153C22semidirect
79. C2×#14579152C22semidirect
80. C2×#14579152C22semidirect
81. C2×#14579152C22semidirect
82. C2×#14579152C22semidirect
83. C2×#14579151C22semidirect
84. C2×#14579151C22semidirect
85. C2×#14579151C22semidirect
86. C2×#14579150C22semidirect
87. C2×#14579149C22semidirect
89. C2×#14579147C22semidirect
90. C2×#14579147C22semidirect
91. C2×#14579147C22semidirect
92. C2×#14579147C22semidirect
93. #19099076C22semidirect
99. C2×#14579146C22semidirect
100. C2×#14579146C22semidirect
101. C2×#14579146C22semidirect
102. C2×#14579146C22semidirect
103. C2×#14579146C22semidirect
104. C2×#14579146C22semidirect
105. C2×#14579146C22semidirect
106. C2×#14579146C22semidirect
107. C2×#14579146C22semidirect
109. C2×#14579145C22semidirect
115. C2×#14579143C22semidirect
116. C2×#14579143C22semidirect
117. C2×#14579143C22semidirect
118. C2×#14579143C22semidirect
120. #123×D79C22semidirect
123. C2×#14579141C22semidirect
124. C2×#14579141C22semidirect
125. C2×#14579141C22semidirect
126. C2×#14579141C22semidirect
127. C2×#14579141C22semidirect
128. C2×#14579140C22semidirect
129. C2×#14579140C22semidirect
134. C2×#14579139C22semidirect
135. C2×#14579139C22semidirect
136. C2×#14579139C22semidirect
137. C2×#14579139C22semidirect
138. C2×#14579139C22semidirect
139. C2×#14579139C22semidirect
140. C2×#14579139C22semidirect
141. C2×#14579138C22semidirect
142. C2×#14579138C22semidirect
143. C2×#14579138C22semidirect
144. C2×#14579138C22semidirect
148. C2×#14579137C22semidirect
149. C2×#14579137C22semidirect
150. C2×#14579137C22semidirect
151. C22⋊Q8×D79C22semidirect
154. C2×#14579136C22semidirect
155. C2×#14579135C22semidirect
159. C2×#14579134C22semidirect
166. C2×C4×Dic158C22semidirect
167. C2×C4×Dic158C22semidirect
171. C2×C4×D316C22semidirect
172. C2×C4×D316C22semidirect
177. C2×#14579123C22semidirect
178. C2×C4×C22⋊D79C22semidirect
180. C2×(C22⋊D79)⋊C4C22semidirect
181. C2×(C22⋊D79)⋊C4C22semidirect
183. C2×#14579119C22semidirect
184. C2×#14579119C22semidirect
185. C2×#14579119C22semidirect
187. C2×#14579118C22semidirect
188. C2×#14579117C22semidirect
191. C2×C4⋊C4×D79C22semidirect
192. C2×C4⋊C4×D79C22semidirect
193. C2×C4⋊C4×D79C22semidirect
194. C2×C4⋊C4×D79C22semidirect
195. C2×C4⋊C4×D79C22semidirect
203. #563×C79C22semidirect
204. C2×C4⋊Q8×C79C22semidirect
205. C2×C4⋊Q8×C79C22semidirect
206. C2×#126×C79C22semidirect
207. C2×#126×C79C22semidirect
208. C2×#126×C79C22semidirect
209. C2×#126×C79C22semidirect
210. C2×#125×C79C22semidirect
211. C2×#125×C79C22semidirect
215. C2×C22⋊Q8×C79C22semidirect
216. C2×C22⋊Q8×C79C22semidirect
217. C2×C22⋊Q8×C79C22semidirect
218. C2×C22⋊Q8×C79C22semidirect
224. C2×#11929625C23semidirect
234. C2×Q8×D79C23semidirect
274. #14579160C23semidirect
275. #14579160C23semidirect
276. #14579159C23semidirect
277. #14579159C23semidirect
278. #14579156C23semidirect
279. #14579156C23semidirect
280. #14579156C23semidirect
281. #14579156C23semidirect
282. #14579155C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579153C23semidirect
287. #14579152C23semidirect
288. #14579152C23semidirect
289. #14579152C23semidirect
290. #14579152C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
294. #14579150C23semidirect
295. #14579149C23semidirect
297. #14579147C23semidirect
298. #14579147C23semidirect
299. #14579147C23semidirect
300. #14579147C23semidirect
306. #14579146C23semidirect
307. #14579146C23semidirect
308. #14579146C23semidirect
309. #14579146C23semidirect
310. #14579146C23semidirect
311. #14579146C23semidirect
312. #14579146C23semidirect
313. #14579146C23semidirect
314. #14579146C23semidirect
316. #14579145C23semidirect
322. #14579143C23semidirect
323. #14579143C23semidirect
324. #14579143C23semidirect
325. #14579143C23semidirect
329. #14579141C23semidirect
330. #14579141C23semidirect
331. #14579141C23semidirect
332. #14579141C23semidirect
333. #14579141C23semidirect
334. #14579140C23semidirect
335. #14579140C23semidirect
340. #14579139C23semidirect
341. #14579139C23semidirect
342. #14579139C23semidirect
343. #14579139C23semidirect
344. #14579139C23semidirect
345. #14579139C23semidirect
346. #14579139C23semidirect
347. #14579138C23semidirect
348. #14579138C23semidirect
349. #14579138C23semidirect
350. #14579138C23semidirect
354. #14579137C23semidirect
355. #14579137C23semidirect
356. #14579137C23semidirect
359. #14579136C23semidirect
360. #14579135C23semidirect
364. #14579134C23semidirect
371. C4×Dic158C23semidirect
372. C4×Dic158C23semidirect
376. C4×D316C23semidirect
377. C4×D316C23semidirect
382. #14579123C23semidirect
383. C4×C22⋊D79C23semidirect
385. (C22⋊D79)⋊C4C23semidirect
386. (C22⋊D79)⋊C4C23semidirect
388. #14579119C23semidirect
389. #14579119C23semidirect
390. #14579119C23semidirect
392. #14579118C23semidirect
393. #14579117C23semidirect
430. C4⋊C4×D79C23semidirect
431. C4⋊C4×D79C23semidirect
432. C4⋊C4×D79C23semidirect
433. C4⋊C4×D79C23semidirect
434. C4⋊C4×D79C23semidirect
491. C4⋊Q8×C79C23semidirect
492. C4⋊Q8×C79C23semidirect
493. #126×C79C23semidirect
494. #126×C79C23semidirect
495. #126×C79C23semidirect
496. #126×C79C23semidirect
497. #125×C79C23semidirect
498. #125×C79C23semidirect
502. C22⋊Q8×C79C23semidirect
503. C22⋊Q8×C79C23semidirect
504. C22⋊Q8×C79C23semidirect
505. C22⋊Q8×C79C23semidirect
973. C2×C79#3535semidirect
984. C2×#563D79semidirect
1014. C79C2×#3535semidirect
1022. #563C2×D79semidirect
1053. C2×C4⋊Q8C2×D79semidirect
1054. C2×C4⋊Q8C2×D79semidirect
1063. C2×#126C2×D79semidirect
1064. C2×#126C2×D79semidirect
1065. C2×#126C2×D79semidirect
1066. C2×#126C2×D79semidirect
1075. C2×#125C2×D79semidirect
1076. C2×#125C2×D79semidirect
1146. C2×C22⋊Q8C2×D79semidirect
1147. C2×C22⋊Q8C2×D79semidirect
1148. C2×C22⋊Q8C2×D79semidirect
1149. C2×C22⋊Q8C2×D79semidirect
1266. C4⋊Q8C22×D79semidirect
1267. C4⋊Q8C22×D79semidirect
1276. #126C22×D79semidirect
1277. #126C22×D79semidirect
1278. #126C22×D79semidirect
1279. #126C22×D79semidirect
1288. #125C22×D79semidirect
1289. #125C22×D79semidirect
1356. C22⋊Q8C22×D79semidirect
1357. C22⋊Q8C22×D79semidirect
1358. C22⋊Q8C22×D79semidirect
1359. C22⋊Q8C22×D79semidirect
1959. C2#23777611direct (N × H)

Maximal subgroups

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

subgroupindex
#237776112
C2×#190993142
C2×#190993102
C2×#190993092
C2×#190992742
C2×#190992692
C2×#190992512
C2×#190992492
C2×#190992402
C2×#190992382
C2×#190992162
C2×#190992152
C2×#190992062
C2×#190992052
C2×#190991902
C2×#190991882
C2×#190991792
C2×#190991772
C2×#190991612
C2×#190991562
C2×#190991542
C2×#190991522
C2×#190991382
C2×#190991362
C2×#190990762
C2×#123×D792
C2×C22⋊Q8×D792
C2×#563×C792
C2×#353579