Finite Group Databasebeta

← C2×#23777604 #35195474

Subgroups — C2×#23777604 #35195474

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#23777604C2132yesmaximal, direct product factor
2C2×#19099317C211yesmaximal, characteristic, complemented
3C2×#19099312C211yesmaximal, characteristic, complemented
4C2×#19099309C211yesmaximal, characteristic, complemented
5C2×#19099309C211yesmaximal, characteristic, complemented
6C2×#19099268C211yesmaximal, characteristic, complemented
7C2×#19099254C211yesmaximal, characteristic, complemented
8C2×#19099245C211yesmaximal, characteristic, complemented
9C2×#19099242C211yesmaximal, characteristic, complemented
10C2×#19099242C211yesmaximal, characteristic, complemented
11C2×#19099240C211yesmaximal, characteristic, complemented
12C2×#19099240C211yesmaximal, characteristic, complemented
13C2×#19099215C211yesmaximal, characteristic, complemented
14C2×#19099214C211yesmaximal, characteristic, complemented
15C2×#19099209C211yesmaximal, characteristic, complemented
16C2×#19099204C211yesmaximal, characteristic, complemented
17C2×#19099192C211yesmaximal, characteristic, complemented
18C2×#19099188C211yesmaximal, characteristic, complemented
19C2×#19099185C211yesmaximal, characteristic, complemented
20C2×#19099183C211yesmaximal, characteristic, complemented
21C2×#19099161C211yesmaximal, characteristic, complemented
22C2×#19099161C211yesmaximal, characteristic, complemented
23C2×#19099160C211yesmaximal, characteristic, complemented
24C2×#19099159C211yesmaximal, characteristic, complemented
25C2×#19099155C211yesmaximal, characteristic, complemented
26C2×#19099146C211yesmaximal, characteristic, complemented
27C2×#19099138C211yesmaximal, characteristic, complemented
28C2×#19099136C211yesmaximal, characteristic, complemented
29C2×#19099072C211yesmaximal, characteristic, complemented
30C22×#14579146C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
32C2×#554×C79C211yesmaximal, characteristic, complemented
33C22×#11929625C2211yescharacteristic
34C22×#11929624C2211yescharacteristic
35C22×#11929624C2211yescharacteristic, complemented
36C22×Q8×D79C2211yescharacteristic, complemented
37C23×D316C2211yescharacteristic
38C23×C4×D79C2211yescharacteristic
39#19099317C22116yescomplemented
40#19099312C22116yescomplemented
41#19099309C22116yescomplemented
42#19099309C22116yescomplemented
43#19099268C22116yescomplemented
44#19099254C22116yescomplemented
45#19099245C22116yescomplemented
46#19099242C22116yescomplemented
47#19099242C22116yescomplemented
48#19099240C22116yescomplemented
49#19099240C22116yescomplemented
50#19099215C22116yescomplemented
51#19099214C22116yescomplemented
52#19099209C22116yescomplemented
53#19099204C22116yescomplemented
54#19099192C22116yescomplemented
55#19099188C22116yescomplemented
56#19099185C22116yescomplemented
57#19099183C22116yescomplemented
58#19099161C22116yescomplemented
59#19099161C22116yescomplemented
60#19099160C22116yescomplemented
61#19099159C22116yescomplemented
62#19099155C22116yescomplemented
63#19099146C22116yescomplemented
64#19099138C22116yescomplemented
65#19099136C22116yescomplemented
66C2×#14579160C2211yescharacteristic, complemented
67C2×#14579160C2211yescharacteristic, complemented
68C2×#14579160C2211yescharacteristic, complemented
69C2×#14579159C2211yescharacteristic, complemented
70C2×#14579159C2211yescharacteristic, complemented
71C2×#14579156C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579156C2211yescharacteristic, complemented
74C2×#14579156C2211yescharacteristic, complemented
75C2×#14579156C2211yescharacteristic, complemented
76C2×#14579156C2211yescharacteristic, complemented
77C2×#14579156C2211yescharacteristic, complemented
78C2×#14579155C2211yescharacteristic, complemented
79C2×#14579155C2211yescharacteristic, complemented
80C2×#14579155C2211yescharacteristic, complemented
81C2×#14579155C2211yescharacteristic, complemented
82C2×#14579154C2211yescharacteristic, complemented
83C2×#14579153C2211yescharacteristic, complemented
84C2×#14579151C2211yescharacteristic, complemented
85C2×#14579151C2211yescharacteristic, complemented
86C2×#14579151C2211yescharacteristic, complemented
87C2×#14579151C2211yescharacteristic, complemented
88C2×#14579151C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579151C2211yescharacteristic, complemented
91C2×#14579150C2211yescharacteristic
92C2×#14579150C2211yescharacteristic, complemented
93C2×#14579150C2211yescharacteristic, complemented
94C2×#14579149C2211yescharacteristic
95C2×#14579149C2211yescharacteristic, complemented
96C2×#14579147C2211yescharacteristic, complemented
97C2×#14579147C2211yescharacteristic, complemented
98C2×#14579147C2211yescharacteristic, complemented
99#19099072C22116yescomplemented
100C2×#14579146C2211yescharacteristic
101C2×#14579146C2211yescharacteristic
102C2×#14579146C2211yescharacteristic
103C2×#14579146C2211yescharacteristic
104C2×#14579146C2211yescharacteristic
105C2×#14579146C2211yescharacteristic
106C2×#14579146C2211yescharacteristic
107C2×#14579146C2211yescharacteristic
108C2×#14579146C2211yescharacteristic
109C2×#14579146C2211yescharacteristic
110C2×#14579146C2211yescharacteristic
111C2×#14579146C2211yescharacteristic
112C2×#14579146C22116yescomplemented
113C2×#14579146C2211yescharacteristic, complemented
114C2×#14579146C2211yescharacteristic, complemented
115C2×#14579146C2211yescharacteristic, complemented
116C2×#14579146C2211yescharacteristic, complemented
117C2×#14579146C2211yescharacteristic, complemented
118C2×#14579146C2211yescharacteristic, complemented
119C2×#14579145C2211yescharacteristic
120C2×#14579144C2211yescharacteristic, complemented
121C2×#14579144C2211yescharacteristic, complemented
122C2×#14579144C2211yescharacteristic, complemented
123C2×#14579144C2211yescharacteristic, complemented
124C2×#14579143C2211yescharacteristic, complemented
125C2×#14579143C2211yescharacteristic, complemented
126C2×#14579143C2211yescharacteristic, complemented
127C2×#14579143C2211yescharacteristic, complemented
128C2×#14579142C2211yescharacteristic
129C2×#14579141C2211yescharacteristic, complemented
130C2×#14579141C2211yescharacteristic, complemented
131C2×#14579141C2211yescharacteristic, complemented
132C2×#14579141C2211yescharacteristic, complemented
133C2×#14579140C2211yescharacteristic
134C2×#14579140C2211yescharacteristic
135C2×#14579140C2211yescharacteristic
136C2×#14579140C2211yescharacteristic, complemented
137C2×#14579139C2211yescharacteristic, complemented
138C2×#14579139C2211yescharacteristic, complemented
139C2×#14579139C2211yescharacteristic, complemented
140C2×#14579139C2211yescharacteristic, complemented
141C2×#14579139C2211yescharacteristic, complemented
142C2×#14579139C2211yescharacteristic, complemented
143C2×#14579139C2211yescharacteristic, complemented
144C2×#14579139C2211yescharacteristic, complemented
145C2×#14579139C2211yescharacteristic, complemented
146C2×#14579139C2211yescharacteristic, complemented
147C2×#14579139C2211yescharacteristic, complemented
148C2×#14579139C2211yescharacteristic, complemented
149C2×#14579138C2211yescharacteristic
150C2×#14579138C2211yescharacteristic
151C2×#14579138C2211yescharacteristic
152C2×#14579137C2211yescharacteristic, complemented
153C2×#14579137C2211yescharacteristic, complemented
154C2×#14579137C2211yescharacteristic, complemented
155C2×#14579137C2211yescharacteristic, complemented
156C2×#14579137C2211yescharacteristic, complemented
157C22⋊Q8×D79C22116yescomplemented
158C2×#14579136C2211yescharacteristic
159C2×#14579136C2211yescharacteristic
160C2×#14579136C2211yescharacteristic
161C2×#14579135C2211yescharacteristic
162C2×#14579135C2211yescharacteristic, complemented
163C2×#14579134C2211yescharacteristic
164C2×#14579134C2211yescharacteristic
165C2×#14579134C2211yescharacteristic, complemented
166C2×#14579134C2211yescharacteristic, complemented
167C2×#14579133C2211yescharacteristic
168C2×#14579131C2211yescharacteristic
169C2×#14579131C2211yescharacteristic
170C2×#14579129C2211yescharacteristic
171C2×#14579129C2211yescharacteristic
172C2×#14579126C2211yescharacteristic, complemented
173C2×C4×D316C2211yescharacteristic
174C2×C4×D316C2211yescharacteristic, complemented
175C2×#14579123C2211yescharacteristic
176C2×#14579123C2211yescharacteristic, complemented
177C2×#14579123C2211yescharacteristic, complemented
178C2×C4×C22⋊D79C2211yescharacteristic
179C2×C4×C22⋊D79C2211yescharacteristic
180C2×C4×C22⋊D79C2211yescharacteristic
181C2×C4×C22⋊D79C2211yescharacteristic, complemented
182C2×C4×C22⋊D79C2211yescharacteristic, complemented
183C2×C4×C22⋊D79C2211yescharacteristic, complemented
184C2×#14579119C2211yescharacteristic, complemented
185C2×#14579119C2211yescharacteristic, complemented
186C2×#14579118C2211yescharacteristic, complemented
187C2×#14579118C2211yescharacteristic, complemented
188C2×#14579118C2211yescharacteristic, complemented
189C2×#14579117C2211yescharacteristic
190C2×#14579117C2211yescharacteristic
191C22×Dic79⋊C4C2211yescharacteristic
192C2×C4⋊C4×D79C2211yescharacteristic, complemented
193C2×C4⋊C4×D79C2211yescharacteristic, complemented
194C2×C4⋊C4×D79C2211yescharacteristic, complemented
195C2×C4⋊C4×D79C2211yescharacteristic, complemented
196C22×(C2×D79)⋊C4C2211yescharacteristic
197C22×(C2×D79)⋊C4C2211yescharacteristic
198C22×(C2×D79)⋊C4C2211yescharacteristic
199C2×C22⋊C4×D79C2211yescharacteristic
200C2×C22⋊C4×D79C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203#554×C79C22116yescomplemented
204C2×C4⋊Q8×C79C2211yescharacteristic, complemented
205C2×#125×C79C2211yescharacteristic, complemented
206C2×#125×C79C2211yescharacteristic, complemented
207C2×C22⋊Q8×C79C2211yescharacteristic
208C2×C22⋊Q8×C79C2211yescharacteristic
209C2×C22⋊Q8×C79C2211yescharacteristic
210C2×C22⋊Q8×C79C2211yescharacteristic, complemented
211C2×C22⋊Q8×C79C2211yescharacteristic, complemented
212C2×C22⋊Q8×C79C2211yescharacteristic, complemented
213C2×C4×Q8×C79C2211yescharacteristic, complemented
214C2×C4×D4×C79C2211yescharacteristic
215C2×C4×D4×C79C2211yescharacteristic
216C2×C4×D4×C79C2211yescharacteristic
217C22×C4⋊C4×C79C2211yescharacteristic
218C22×C4⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221C2×#11929625—44no—
222C2×#11929625C2318yes—
223C2×#11929624—44no—
224C2×#11929624—44no—
225C2×#11929624C2318yes—
226C2×#11929624C2318yescomplemented
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C2×Q8×D79—44no—
234C2×Q8×D79C2318yescomplemented
235C22×D316—44no—
236C22×D316C2311yescharacteristic
237C22×D316C2311yescharacteristic
238C22×D316C2311yescharacteristic
239C22×D316C2318yes—
240C22×D316C2311yescharacteristic
241C22×D316C2311yescharacteristic
242C22×D316C2311yescharacteristic
243C22×D316C2311yescharacteristic
244C22×D316C2311yescharacteristic
245C22×C22⋊D79C2311yescharacteristic
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C22×C22⋊D79C2311yescharacteristic
250C22×C22⋊D79C2311yescharacteristic
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×D79C2318yes—
270#14579160C2318yescomplemented
271#14579160C2318yescomplemented
272#14579160C2318yescomplemented
273#14579159C2318yescomplemented
274#14579159C2318yescomplemented
275#14579156C2318yescomplemented
276#14579156C2318yescomplemented
277#14579156C2318yescomplemented
278#14579156C2318yescomplemented
279#14579156C2318yescomplemented
280#14579156C2318yescomplemented
281#14579156C2318yescomplemented
282#14579155C2318yescomplemented
283#14579155C2318yescomplemented
284#14579155C2318yescomplemented
285#14579155C2318yescomplemented
286#14579154C2318yescomplemented
287#14579153C2318yescomplemented
288#14579151C2318yescomplemented
289#14579151C2318yescomplemented
290#14579151C2318yescomplemented
291#14579151C2318yescomplemented
292#14579151C2318yescomplemented
293#14579151C2318yescomplemented
294#14579151C2318yescomplemented
295#14579150C2318yes—
296#14579150C2318yescomplemented
297#14579150C2318yescomplemented
298#14579149C2318yes—
299#14579149C2318yescomplemented
300#14579147C2318yescomplemented
301#14579147C2318yescomplemented
302#14579147C2318yescomplemented
303#14579146C2318yes—
304#14579146C2318yes—
305#14579146C2318yes—
306#14579146C2318yes—
307#14579146C2318yes—
308#14579146C2318yes—
309#14579146C2318yes—
310#14579146C2318yes—
311#14579146C2318yes—
312#14579146C2318yes—
313#14579146C2318yes—
314#14579146C2318yes—
315#14579146C2318yescomplemented
316#14579146C2318yescomplemented
317#14579146C2318yescomplemented
318#14579146C2318yescomplemented
319#14579146C2318yescomplemented
320#14579146C2318yescomplemented
321#14579145C2318yes—
322#14579144C2318yescomplemented
323#14579144C2318yescomplemented
324#14579144C2318yescomplemented
325#14579144C2318yescomplemented
326#14579143C2318yescomplemented
327#14579143C2318yescomplemented
328#14579143C2318yescomplemented
329#14579143C2318yescomplemented
330#14579142C2318yes—
331#14579141C2318yescomplemented
332#14579141C2318yescomplemented
333#14579141C2318yescomplemented
334#14579141C2318yescomplemented
335#14579140C2318yes—
336#14579140C2318yes—
337#14579140C2318yes—
338#14579140C2318yescomplemented
339#14579139C2318yescomplemented
340#14579139C2318yescomplemented
341#14579139C2318yescomplemented
342#14579139C2318yescomplemented
343#14579139C2318yescomplemented
344#14579139C2318yescomplemented
345#14579139C2318yescomplemented
346#14579139C2318yescomplemented
347#14579139C2318yescomplemented
348#14579139C2318yescomplemented
349#14579139C2318yescomplemented
350#14579139C2318yescomplemented
351#14579138C2318yes—
352#14579138C2318yes—
353#14579138C2318yes—
354#14579137C2318yescomplemented
355#14579137C2318yescomplemented
356#14579137C2318yescomplemented
357#14579137C2318yescomplemented
358#14579137C2318yescomplemented
359#14579136C2318yes—
360#14579136C2318yes—
361#14579136C2318yes—
362#14579135C2318yes—
363#14579135C2318yescomplemented
364#14579134C2318yes—
365#14579134C2318yes—
366#14579134C2318yescomplemented
367#14579134C2318yescomplemented
368#14579133C2318yes—
369#14579131C2318yes—
370#14579131C2318yes—
371#14579129C2318yes—
372#14579129C2318yes—
373#14579126C2318yescomplemented
374C4×D316C2318yes—
375C4×D316C2318yescomplemented
376#14579123C2318yes—
377#14579123C2318yescomplemented
378#14579123C2318yescomplemented
379C4×C22⋊D79C2318yes—
380C4×C22⋊D79C2318yes—
381C4×C22⋊D79C2318yes—
382C4×C22⋊D79C2318yescomplemented
383C4×C22⋊D79C2318yescomplemented
384C4×C22⋊D79C2318yescomplemented
385#14579119C2318yescomplemented
386#14579119C2318yescomplemented
387#14579118C2318yescomplemented
388#14579118C2318yescomplemented
389#14579118C2318yescomplemented
390#14579117C2318yes—
391#14579117C2318yes—
392C2×C4⋊Dic79C2311yescharacteristic
393C2×C4⋊Dic79C2311yescharacteristic
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2311yescharacteristic
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×Dic79⋊C4C2318yes—
401C2×Dic79⋊C4C2311yescharacteristic
402C2×Dic79⋊C4C2311yescharacteristic
403C2×Dic79⋊C4C2311yescharacteristic
404C2×Dic79⋊C4C2311yescharacteristic
405C2×Dic79⋊C4C2311yescharacteristic
406C2×Dic79⋊C4C2311yescharacteristic
407C2×Dic79⋊C4C2311yescharacteristic
408C2×Dic79⋊C4C2311yescharacteristic
409C2×Dic79⋊C4C2311yescharacteristic
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2311yescharacteristic
412C2×Dic79⋊C4C2311yescharacteristic
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2311yescharacteristic
427C4⋊C4×D79C2318yescomplemented
428C4⋊C4×D79C2318yescomplemented
429C4⋊C4×D79C2318yescomplemented
430C4⋊C4×D79C2318yescomplemented
431C2×C22⋊Dic79C2311yescharacteristic
432C2×C22⋊Dic79C2311yescharacteristic
433C2×C22⋊Dic79C2311yescharacteristic
434C2×C22⋊Dic79C2311yescharacteristic
435C2×C22⋊Dic79C2311yescharacteristic
436C2×C22⋊Dic79C2311yescharacteristic
437C2×(C2×D79)⋊C4C2318yes—
438C2×(C2×D79)⋊C4C2318yes—
439C2×(C2×D79)⋊C4C2318yes—
440C2×(C2×D79)⋊C4C2311yescharacteristic
441C2×(C2×D79)⋊C4C2311yescharacteristic
442C2×(C2×D79)⋊C4C2311yescharacteristic
443C2×(C2×D79)⋊C4C2311yescharacteristic
444C2×(C2×D79)⋊C4C2311yescharacteristic
445C2×(C2×D79)⋊C4C2311yescharacteristic
446C2×(C2×D79)⋊C4C2311yescharacteristic
447C2×(C2×D79)⋊C4C2311yescharacteristic
448C2×(C2×D79)⋊C4C2311yescharacteristic
449C2×(C2×D79)⋊C4C2311yescharacteristic
450C2×(C2×D79)⋊C4C2311yescharacteristic
451C2×(C2×D79)⋊C4C2311yescharacteristic
452C2×(C2×D79)⋊C4C2311yescharacteristic
453C2×(C2×D79)⋊C4C2311yescharacteristic
454C2×(C2×D79)⋊C4C2311yescharacteristic
455C2×(C2×D79)⋊C4C2311yescharacteristic
456C2×(C2×D79)⋊C4C2311yescharacteristic
457C2×(C2×D79)⋊C4C2311yescharacteristic
458C2×(C2×D79)⋊C4C2311yescharacteristic
459C2×(C2×D79)⋊C4C2311yescharacteristic
460C2×(C2×D79)⋊C4C2311yescharacteristic
461C2×(C2×D79)⋊C4C2311yescharacteristic
462C2×(C2×D79)⋊C4C2311yescharacteristic
463C2×(C2×D79)⋊C4C2311yescharacteristic
464C2×(C2×D79)⋊C4C2311yescharacteristic
465C2×(C2×D79)⋊C4C2311yescharacteristic
466C2×(C2×D79)⋊C4C2311yescharacteristic
467C2×(C2×D79)⋊C4C2311yescharacteristic
468C2×(C2×D79)⋊C4C2311yescharacteristic
469C2×(C2×D79)⋊C4C2311yescharacteristic
470C2×(C2×D79)⋊C4C2311yescharacteristic
471C2×(C2×D79)⋊C4C2311yescharacteristic
472C2×(C2×D79)⋊C4C2311yescharacteristic
473C2×(C2×D79)⋊C4C2311yescharacteristic
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
491C23×C4×C79C2311yescharacteristic
492C23×C4×C79C2311yescharacteristic
493C23×C4×C79C2311yescharacteristic
494C23×C4×C79C2311yescharacteristic
495C4⋊Q8×C79C2318yescomplemented
496#125×C79C2318yescomplemented
497#125×C79C2318yescomplemented
498C22⋊Q8×C79C2318yes—
499C22⋊Q8×C79C2318yes—
500C22⋊Q8×C79C2318yes—
501C22⋊Q8×C79C2318yescomplemented
502C22⋊Q8×C79C2318yescomplemented
503C22⋊Q8×C79C2318yescomplemented
504C4×Q8×C79C2318yescomplemented
505C4×D4×C79C2318yes—
506C4×D4×C79C2318yes—
507C4×D4×C79C2318yes—
508C2×C4⋊C4×C79C2311yescharacteristic
509C2×C4⋊C4×C79C2311yescharacteristic
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C4⋊C4×C79C2318yes—
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×C79C2311yescharacteristic
523C2×C4⋊C4×C79C2311yescharacteristic
524C2×C4⋊C4×C79C2311yescharacteristic
525C2×C4⋊C4×C79C2318yescomplemented
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×D79C2411yescharacteristic
545C23×D79C2414yes—
546C23×D79C2411yescharacteristic
547C23×D79C2414yes—
548#11929625—416no—
549#11929624—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—42no—
568C2×D316—42no—
569C2×D316—42no—
570C2×D316—42no—
571C2×D316—42no—
572C2×D316—416no—
573C2×D316C2414yes—
574C2×D316C2414yes—
575C2×D316C2414yes—
576C2×D316C2414yes—
577C2×D316C2414yes—
578C2×D316C2414yes—
579C2×D316C2414yes—
580C2×D316C2414yes—
581C2×C22⋊D79—24no—
582C2×C22⋊D79—24no—
583C2×C22⋊D79—42no—
584C2×C22⋊D79—42no—
585C2×C22⋊D79—42no—
586C2×C22⋊D79—42no—
587C2×C22⋊D79C2414yes—
588C2×C22⋊D79C2414yes—
589C2×C22⋊D79C2414yes—
590C2×C22⋊D79C2414yes—
591C2×C22⋊D79C2414yes—
592C2×C22⋊D79C2414yes—
593C22×Dic79—24no—
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—42no—
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—416no—
624C2×C4×D79C2414yes—
625C2×C4×D79C2414yes—
626C2×C4×D79C2414yes—
627C2×C4×D79C2414yes—
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—
639C4⋊Dic79C2414yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650Dic79⋊C4C2414yes—
651Dic79⋊C4C2414yes—
652Dic79⋊C4C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673C22⋊Dic79C2414yes—
674C22⋊Dic79C2414yes—
675C22⋊Dic79C2414yes—
676C22⋊Dic79C2414yes—
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679(C2×D79)⋊C4C2414yes—
680(C2×D79)⋊C4C2414yes—
681(C2×D79)⋊C4C2414yes—
682(C2×D79)⋊C4C2414yes—
683(C2×D79)⋊C4C2414yes—
684(C2×D79)⋊C4C2414yes—
685(C2×D79)⋊C4C2414yes—
686(C2×D79)⋊C4C2414yes—
687(C2×D79)⋊C4C2414yes—
688(C2×D79)⋊C4C2414yes—
689(C2×D79)⋊C4C2414yes—
690(C2×D79)⋊C4C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
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—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C24×C79C2411yescharacteristic
721C24×C79C2411yescharacteristic
722C2×Q8×C79—42no—
723C2×Q8×C79—42no—
724C2×Q8×C79—42no—
725C2×Q8×C79C2414yes—
726C2×Q8×C79C2414yes—
727C2×Q8×C79C2414yes—
728C2×D4×C79—24no—
729C2×D4×C79C2414yes—
730C22×C4×C79—42no—
731C22×C4×C79—42no—
732C22×C4×C79—42no—
733C22×C4×C79—42no—
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—
751C22×C4×C79C2414yes—
752C22×C4×C79C2414yes—
753C22×C4×C79C2414yes—
754C22×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—
768C4⋊C4×C79C2414yes—
769C4⋊C4×C79C2414yes—
770C4⋊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×C792−1+414yes—
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—28no—
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—28no—
806C22×D79—44no—
807C22×D79—44no—
808C22×D79—44no—
809C22×D79—416no—
810C22×D79—88no—
811C22×D79H(5,𝔽2)14yes—
812C22×D79C2512yes—
813C22×D79C2512yes—
814C22×D79C2512yes—
815C22×D79C2512yes—
816C22×D79C2512yes—
817Q8×C79—44no—
818Q8×C79—44no—
819Q8×C79—44no—
820D4×C79—28no—
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×C79—44no—
837C2×C4×C79—44no—
838C2×C4×C79—44no—
839C2×C4×C79—44no—
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—
849C2×C4×C79C2512yes—
850C2×C4×C79C2512yes—
851C2×C4×C79C2512yes—
852C2×C4×C79C2512yes—
853C22⋊D79—28no—
854C22⋊D79—28no—
855C22⋊D79—44no—
856C22⋊D79—44no—
857C22⋊D79—44no—
858C22⋊D79—44no—
859C2×Dic79—22no—
860C2×Dic79—22no—
861C2×Dic79—22no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—28no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—22no—
868C2×Dic79—22no—
869C2×Dic79—22no—
870C2×Dic79—22no—
871C2×Dic79—44no—
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—28no—
886D316—44no—
887D316—44no—
888D316—44no—
889D316—44no—
890D316—44no—
891C4×D79—28no—
892C4×D79—28no—
893C4×D79—28no—
894C4×D79—28no—
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—28no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—44no—
919C22×C79C2×H(5,𝔽2)12yes—
920C22×C79C2×2−1+414yes—
921C22×C79C2×2−1+412yes—
922C22×C79#58512yes—
923C22×C79C2611yescharacteristic
924C2×D79—22no—
925C2×D79—22no—
926C2×D79—28no—
927C2×D79—22no—
928C2×D79—22no—
929C2×D79—22no—
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—44no—
944C2×D79—88no—
945C2×D79C2×H(5,𝔽2)14yes—
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—24no—
972C2×C79—42no—
973C2×C79#353514yescomplemented
974C2×C79C22×H(5,𝔽2)11yescharacteristic
975C2×C79C22×2−1+411yescharacteristic
976C2×C79C2×#58511yescharacteristic
977D79—24no—
978D79—42no—
979D79—42no—
980D79—42no—
981D79—42no—
982#3535—7932no—
983C2×#563—791no—
984C2×#563—791no—
985C2×#562—791no—
986C2×#562—791no—
987C2×#554—791no—
988C2×#554D7911yescharacteristic, complemented
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#563—7916no—
1023#562—7916no—
1024#562—7916no—
1025#554—7916no—
1026#554C2×D79116yescomplemented
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⋊Q8—791no—
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×#126—791no—
1064C2×#126—791no—
1065C2×#126—791no—
1066C2×#126—791no—
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×#124—791no—
1085#525—7916no—
1086C2×#123—791no—
1087C2×#123—791no—
1088C2×#123—791no—
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—7916no—
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×#123—791no—
1114C2×#123—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—7916no—
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⋊Q8C2×D7911yescharacteristic
1145C2×C22⋊Q8C2×D7911yescharacteristic
1146C2×C22⋊Q8C2×D7911yescharacteristic
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×Q8C2×D7911yescharacteristic, complemented
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×D4C2×D7911yescharacteristic
1178C2×C4×D4C2×D7911yescharacteristic
1179C2×C4×D4C2×D7911yescharacteristic
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⋊C4C2×D7911yescharacteristic
1193C22×C4⋊C4C2×D7911yescharacteristic, complemented
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—791no—
1227C22×D4—791no—
1228C22×D4—791no—
1229C22×D4—791no—
1230C22×D4—791no—
1231C22×D4—791no—
1232C22×D4—798no—
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—798no—
1251C23×C4—791no—
1252C23×C4—791no—
1253C23×C4—791no—
1254C23×C4—791no—
1255C23×C4—791no—
1256C23×C4C22×D7911yescharacteristic
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⋊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#126—798no—
1277#126—798no—
1278#126—798no—
1279#126—798no—
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#124—798no—
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#123—798no—
1325#123—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⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8—798no—
1351C22⋊Q8—798no—
1352C22⋊Q8—798no—
1353C22⋊Q8—798no—
1354C22⋊Q8C22×D7918yes—
1355C22⋊Q8C22×D7918yes—
1356C22⋊Q8C22×D7918yes—
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×Q8C22×D7918yescomplemented
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×D4C22×D7918yes—
1388C4×D4C22×D7918yes—
1389C4×D4C22×D7918yes—
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—798no—
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—798no—
1433C2×C4⋊C4—798no—
1434C2×C4⋊C4—798no—
1435C2×C4⋊C4—798no—
1436C2×C4⋊C4C22×D7911yescharacteristic
1437C2×C4⋊C4C22×D7911yescharacteristic
1438C2×C4⋊C4C22×D7911yescharacteristic
1439C2×C4⋊C4C22×D7911yescharacteristic
1440C2×C4⋊C4C22×D7911yescharacteristic
1441C2×C4⋊C4C22×D7911yescharacteristic
1442C2×C4⋊C4C22×D7911yescharacteristic
1443C2×C4⋊C4C22×D7918yes—
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×D7918yescomplemented
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—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—791no—
1478C2×C22⋊C4—791no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—798no—
1481C2×C22⋊C4—798no—
1482C2×C22⋊C4—798no—
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—791no—
1492C2×C22⋊C4—791no—
1493C2×C22⋊C4—791no—
1494C2×C22⋊C4—791no—
1495C2×C22⋊C4—791no—
1496C2×C22⋊C4—791no—
1497C2×C22⋊C4—798no—
1498C2×C22⋊C4—798no—
1499C2×C22⋊C4—798no—
1500C2×C22⋊C4—798no—
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—24no—
1555C2×D4—3162no—
1556C2×D4—3162no—
1557C2×D4—3162no—
1558C2×D4—3162no—
1559C2×D4—3162no—
1560C2×D4—31616no—
1561C2×D4—3162no—
1562C2×D4—3162no—
1563C2×D4—3162no—
1564C2×D4—3162no—
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—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
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—3162no—
1602C22×C4—31616no—
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—791no—
1618C22×C4—791no—
1619C22×C4—791no—
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—794no—
1629C22×C4—794no—
1630C22×C4—794no—
1631C22×C4—794no—
1632C22×C4—1584no—
1633C22×C4—1584no—
1634C22×C4—1584no—
1635C22×C4—1584no—
1636C22×C4—1584no—
1637C22×C4C23×D7911yescharacteristic
1638C22×C4C23×D7911yescharacteristic
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×D7914yes—
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—
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⋊C4—794no—
1743C22⋊C4—794no—
1744C22⋊C4—794no—
1745C22⋊C4—794no—
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—31616no—
1768C23—3164no—
1769C23—3164no—
1770C23—3164no—
1771C23—794no—
1772C23—792no—
1773C23—792no—
1774C23—792no—
1775C23—792no—
1776C23—792no—
1777C23—6328no—
1778C23—1588no—
1779C23—1582no—
1780C23—1582no—
1781C23—1582no—
1782C23—1582no—
1783C23—1582no—
1784C23—1588no—
1785C23—1582no—
1786C23—1582no—
1787C23—1582no—
1788C23—1582no—
1789C23—1582no—
1790C23—1582no—
1791C23—1582no—
1792C23—1588no—
1793C23—1582no—
1794C23—1582no—
1795C23#1457920914yes—
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—28no—
1809D4—3164no—
1810D4—3164no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
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—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
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—1582no—
1870C2×C4—1582no—
1871C2×C4—1582no—
1872C2×C4—1582no—
1873C2×C4—1582no—
1874C2×C4—1588no—
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—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—31616no—
1902C22—3164no—
1903C22—3164no—
1904C22—3164no—
1905C22—3164no—
1906C22—794no—
1907C22—6328no—
1908C22—1582no—
1909C22—1582no—
1910C22—1582no—
1911C22—1582no—
1912C22—1582no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1582no—
1919C22—1582no—
1920C22—1588no—
1921C22—1582no—
1922C22—1582no—
1923C22H(5,𝔽2)×D7912yes—
1924C22C2×#1457920914yes—
1925C22C2×#1457920912yes—
1926C22#1909939912yes—
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—24no—
1953C2—42no—
1954C2—3162no—
1955C2—3162no—
1956C2—3162no—
1957C2—3162no—
1958C2—1584no—
1959C2#2377760414yesdirect product factor
1960C2C2×H(5,𝔽2)×D7911yescharacteristic
1961C2C22×#1457920911yescharacteristic
1962C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#554×C79C2
socleC23×C79C25
hypercenterC2×#554D79
hypocenterC79C2×#3535
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #23777604C2direct (N × H)
2. C2×#19099317C2semidirect
3. C2×#19099312C2semidirect
4. C2×#19099309C2semidirect
5. C2×#19099309C2semidirect
6. C2×#19099268C2semidirect
7. C2×#19099254C2semidirect
8. C2×#19099245C2semidirect
9. C2×#19099242C2semidirect
10. C2×#19099242C2semidirect
11. C2×#19099240C2semidirect
12. C2×#19099240C2semidirect
13. C2×#19099215C2semidirect
14. C2×#19099214C2semidirect
15. C2×#19099209C2semidirect
16. C2×#19099204C2semidirect
17. C2×#19099192C2semidirect
18. C2×#19099188C2semidirect
19. C2×#19099185C2semidirect
20. C2×#19099183C2semidirect
21. C2×#19099161C2semidirect
22. C2×#19099161C2semidirect
23. C2×#19099160C2semidirect
24. C2×#19099159C2semidirect
25. C2×#19099155C2semidirect
26. C2×#19099146C2semidirect
27. C2×#19099138C2semidirect
28. C2×#19099136C2semidirect
29. C2×#19099072C2semidirect
30. C22×#14579146C2semidirect
31. C2×C22⋊Q8×D79C2semidirect
32. C2×#554×C79C2semidirect
35. C22×#11929624C22semidirect
36. C22×Q8×D79C22semidirect
39. #19099317C22semidirect
40. #19099312C22semidirect
41. #19099309C22semidirect
42. #19099309C22semidirect
43. #19099268C22semidirect
44. #19099254C22semidirect
45. #19099245C22semidirect
46. #19099242C22semidirect
47. #19099242C22semidirect
48. #19099240C22semidirect
49. #19099240C22semidirect
50. #19099215C22semidirect
51. #19099214C22semidirect
52. #19099209C22semidirect
53. #19099204C22semidirect
54. #19099192C22semidirect
55. #19099188C22semidirect
56. #19099185C22semidirect
57. #19099183C22semidirect
58. #19099161C22semidirect
59. #19099161C22semidirect
60. #19099160C22semidirect
61. #19099159C22semidirect
62. #19099155C22semidirect
63. #19099146C22semidirect
64. #19099138C22semidirect
65. #19099136C22semidirect
66. C2×#14579160C22semidirect
67. C2×#14579160C22semidirect
68. C2×#14579160C22semidirect
69. C2×#14579159C22semidirect
70. C2×#14579159C22semidirect
71. C2×#14579156C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579156C22semidirect
74. C2×#14579156C22semidirect
75. C2×#14579156C22semidirect
76. C2×#14579156C22semidirect
77. C2×#14579156C22semidirect
78. C2×#14579155C22semidirect
79. C2×#14579155C22semidirect
80. C2×#14579155C22semidirect
81. C2×#14579155C22semidirect
82. C2×#14579154C22semidirect
83. C2×#14579153C22semidirect
84. C2×#14579151C22semidirect
85. C2×#14579151C22semidirect
86. C2×#14579151C22semidirect
87. C2×#14579151C22semidirect
88. C2×#14579151C22semidirect
89. C2×#14579151C22semidirect
90. C2×#14579151C22semidirect
92. C2×#14579150C22semidirect
93. C2×#14579150C22semidirect
95. C2×#14579149C22semidirect
96. C2×#14579147C22semidirect
97. C2×#14579147C22semidirect
98. C2×#14579147C22semidirect
99. #19099072C22semidirect
112. C2×#14579146C22semidirect
113. C2×#14579146C22semidirect
114. C2×#14579146C22semidirect
115. C2×#14579146C22semidirect
116. C2×#14579146C22semidirect
117. C2×#14579146C22semidirect
118. C2×#14579146C22semidirect
120. C2×#14579144C22semidirect
121. C2×#14579144C22semidirect
122. C2×#14579144C22semidirect
123. C2×#14579144C22semidirect
124. C2×#14579143C22semidirect
125. C2×#14579143C22semidirect
126. C2×#14579143C22semidirect
127. C2×#14579143C22semidirect
129. C2×#14579141C22semidirect
130. C2×#14579141C22semidirect
131. C2×#14579141C22semidirect
132. C2×#14579141C22semidirect
136. C2×#14579140C22semidirect
137. C2×#14579139C22semidirect
138. C2×#14579139C22semidirect
139. C2×#14579139C22semidirect
140. C2×#14579139C22semidirect
141. C2×#14579139C22semidirect
142. C2×#14579139C22semidirect
143. C2×#14579139C22semidirect
144. C2×#14579139C22semidirect
145. C2×#14579139C22semidirect
146. C2×#14579139C22semidirect
147. C2×#14579139C22semidirect
148. C2×#14579139C22semidirect
152. C2×#14579137C22semidirect
153. C2×#14579137C22semidirect
154. C2×#14579137C22semidirect
155. C2×#14579137C22semidirect
156. C2×#14579137C22semidirect
157. C22⋊Q8×D79C22semidirect
162. C2×#14579135C22semidirect
165. C2×#14579134C22semidirect
166. C2×#14579134C22semidirect
172. C2×#14579126C22semidirect
174. C2×C4×D316C22semidirect
176. C2×#14579123C22semidirect
177. C2×#14579123C22semidirect
181. C2×C4×C22⋊D79C22semidirect
182. C2×C4×C22⋊D79C22semidirect
183. C2×C4×C22⋊D79C22semidirect
184. C2×#14579119C22semidirect
185. C2×#14579119C22semidirect
186. C2×#14579118C22semidirect
187. C2×#14579118C22semidirect
188. C2×#14579118C22semidirect
192. C2×C4⋊C4×D79C22semidirect
193. C2×C4⋊C4×D79C22semidirect
194. C2×C4⋊C4×D79C22semidirect
195. C2×C4⋊C4×D79C22semidirect
203. #554×C79C22semidirect
204. C2×C4⋊Q8×C79C22semidirect
205. C2×#125×C79C22semidirect
206. C2×#125×C79C22semidirect
210. C2×C22⋊Q8×C79C22semidirect
211. C2×C22⋊Q8×C79C22semidirect
212. C2×C22⋊Q8×C79C22semidirect
213. C2×C4×Q8×C79C22semidirect
218. C22×C4⋊C4×C79C22semidirect
226. C2×#11929624C23semidirect
234. C2×Q8×D79C23semidirect
270. #14579160C23semidirect
271. #14579160C23semidirect
272. #14579160C23semidirect
273. #14579159C23semidirect
274. #14579159C23semidirect
275. #14579156C23semidirect
276. #14579156C23semidirect
277. #14579156C23semidirect
278. #14579156C23semidirect
279. #14579156C23semidirect
280. #14579156C23semidirect
281. #14579156C23semidirect
282. #14579155C23semidirect
283. #14579155C23semidirect
284. #14579155C23semidirect
285. #14579155C23semidirect
286. #14579154C23semidirect
287. #14579153C23semidirect
288. #14579151C23semidirect
289. #14579151C23semidirect
290. #14579151C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
294. #14579151C23semidirect
296. #14579150C23semidirect
297. #14579150C23semidirect
299. #14579149C23semidirect
300. #14579147C23semidirect
301. #14579147C23semidirect
302. #14579147C23semidirect
315. #14579146C23semidirect
316. #14579146C23semidirect
317. #14579146C23semidirect
318. #14579146C23semidirect
319. #14579146C23semidirect
320. #14579146C23semidirect
322. #14579144C23semidirect
323. #14579144C23semidirect
324. #14579144C23semidirect
325. #14579144C23semidirect
326. #14579143C23semidirect
327. #14579143C23semidirect
328. #14579143C23semidirect
329. #14579143C23semidirect
331. #14579141C23semidirect
332. #14579141C23semidirect
333. #14579141C23semidirect
334. #14579141C23semidirect
338. #14579140C23semidirect
339. #14579139C23semidirect
340. #14579139C23semidirect
341. #14579139C23semidirect
342. #14579139C23semidirect
343. #14579139C23semidirect
344. #14579139C23semidirect
345. #14579139C23semidirect
346. #14579139C23semidirect
347. #14579139C23semidirect
348. #14579139C23semidirect
349. #14579139C23semidirect
350. #14579139C23semidirect
354. #14579137C23semidirect
355. #14579137C23semidirect
356. #14579137C23semidirect
357. #14579137C23semidirect
358. #14579137C23semidirect
363. #14579135C23semidirect
366. #14579134C23semidirect
367. #14579134C23semidirect
373. #14579126C23semidirect
375. C4×D316C23semidirect
377. #14579123C23semidirect
378. #14579123C23semidirect
382. C4×C22⋊D79C23semidirect
383. C4×C22⋊D79C23semidirect
384. C4×C22⋊D79C23semidirect
385. #14579119C23semidirect
386. #14579119C23semidirect
387. #14579118C23semidirect
388. #14579118C23semidirect
389. #14579118C23semidirect
427. C4⋊C4×D79C23semidirect
428. C4⋊C4×D79C23semidirect
429. C4⋊C4×D79C23semidirect
430. C4⋊C4×D79C23semidirect
495. C4⋊Q8×C79C23semidirect
496. #125×C79C23semidirect
497. #125×C79C23semidirect
501. C22⋊Q8×C79C23semidirect
502. C22⋊Q8×C79C23semidirect
503. C22⋊Q8×C79C23semidirect
504. C4×Q8×C79C23semidirect
525. C2×C4⋊C4×C79C23semidirect
973. C2×C79#3535semidirect
988. C2×#554D79semidirect
1014. C79C2×#3535semidirect
1026. #554C2×D79semidirect
1054. C2×C4⋊Q8C2×D79semidirect
1075. C2×#125C2×D79semidirect
1076. C2×#125C2×D79semidirect
1147. C2×C22⋊Q8C2×D79semidirect
1148. C2×C22⋊Q8C2×D79semidirect
1149. C2×C22⋊Q8C2×D79semidirect
1165. C2×C4×Q8C2×D79semidirect
1193. C22×C4⋊C4C2×D79semidirect
1267. C4⋊Q8C22×D79semidirect
1288. #125C22×D79semidirect
1289. #125C22×D79semidirect
1357. C22⋊Q8C22×D79semidirect
1358. C22⋊Q8C22×D79semidirect
1359. C22⋊Q8C22×D79semidirect
1375. C4×Q8C22×D79semidirect
1453. C2×C4⋊C4C22×D79semidirect
1959. C2#23777604direct (N × H)

Maximal subgroups

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

subgroupindex
#237776042
C2×#190993172
C2×#190993122
C2×#190993092
C2×#190992682
C2×#190992542
C2×#190992452
C2×#190992422
C2×#190992402
C2×#190992152
C2×#190992142
C2×#190992092
C2×#190992042
C2×#190991922
C2×#190991882
C2×#190991852
C2×#190991832
C2×#190991612
C2×#190991602
C2×#190991592
C2×#190991552
C2×#190991462
C2×#190991382
C2×#190991362
C2×#190990722
C22×#145791462
C2×C22⋊Q8×D792
C2×#554×C792
C2×#353579