Finite Group Databasebeta

← C2×#23777964 #35195612

Subgroups — C2×#23777964 #35195612

Order 20224.

7258 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#23777964C2132yesmaximal, direct product factor
2C2×#19099316C211yesmaximal, characteristic, complemented
3C2×#19099312C211yesmaximal, characteristic, complemented
4C2×#19099309C211yesmaximal, characteristic, complemented
5C2×#19099308C211yesmaximal, characteristic, complemented
6C2×#19099281C211yesmaximal, characteristic, complemented
7C2×#19099280C211yesmaximal, characteristic, complemented
8C2×#19099243C211yesmaximal, characteristic, complemented
9C2×#19099242C211yesmaximal, characteristic, complemented
10C2×#19099238C211yesmaximal, characteristic, complemented
11C2×#19099237C211yesmaximal, characteristic, complemented
12C2×#19099228C211yesmaximal, characteristic, complemented
13C2×#19099226C211yesmaximal, characteristic, complemented
14C2×#19099222C211yesmaximal, characteristic, complemented
15C2×#19099221C211yesmaximal, characteristic, complemented
16C2×#19099205C211yesmaximal, characteristic, complemented
17C2×#19099202C211yesmaximal, characteristic, complemented
18C2×#19099188C211yesmaximal, characteristic, complemented
19C2×#19099188C211yesmaximal, characteristic, complemented
20C2×#19099185C211yesmaximal, characteristic, complemented
21C2×#19099183C211yesmaximal, characteristic, complemented
22C2×#19099179C211yesmaximal, characteristic, complemented
23C2×#19099177C211yesmaximal, characteristic, complemented
24C2×#19099177C211yesmaximal, characteristic, complemented
25C2×#19099149C211yesmaximal, characteristic, complemented
26C2×#19099147C211yesmaximal, characteristic, complemented
27C2×#19099136C211yesmaximal, characteristic, complemented
28C2×#19099135C211yesmaximal, characteristic, complemented
29C2×#19099117C211yesmaximal, characteristic, complemented
30C2×#19099096C211yesmaximal, characteristic, complemented
31C2×#124×D79C211yesmaximal, characteristic, complemented
32C2×#542×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic
34C22×#11929623C2211yescharacteristic
35C23×Dic158C2211yescharacteristic, complemented
36C22×Q8×D79C2211yescharacteristic
37C22×Q8×D79C2211yescharacteristic, complemented
38C22×D4×D79C2211yescharacteristic
39#19099316C22116yescomplemented
40#19099312C22116yescomplemented
41#19099309C22116yescomplemented
42#19099308C22116yescomplemented
43#19099281C22116yescomplemented
44#19099280C22116yescomplemented
45#19099243C22116yescomplemented
46#19099242C22116yescomplemented
47#19099238C22116yescomplemented
48#19099237C22116yescomplemented
49#19099228C22116yescomplemented
50#19099226C22116yescomplemented
51#19099222C22116yescomplemented
52#19099221C22116yescomplemented
53#19099205C22116yescomplemented
54#19099202C22116yescomplemented
55#19099188C22116yescomplemented
56#19099188C22116yescomplemented
57#19099185C22116yescomplemented
58#19099183C22116yescomplemented
59#19099179C22116yescomplemented
60#19099177C22116yescomplemented
61#19099177C22116yescomplemented
62#19099149C22116yescomplemented
63#19099147C22116yescomplemented
64#19099136C22116yescomplemented
65#19099135C22116yescomplemented
66#19099117C22116yescomplemented
67C2×#14579160C2211yescharacteristic, complemented
68C2×#14579160C2211yescharacteristic, complemented
69C2×#14579160C2211yescharacteristic, complemented
70C2×#14579160C2211yescharacteristic, complemented
71C2×#14579160C2211yescharacteristic, complemented
72C2×#14579159C2211yescharacteristic, complemented
73C2×#14579159C2211yescharacteristic, complemented
74#19099096C22116yescomplemented
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×#14579154C2211yescharacteristic, complemented
84C2×#14579154C2211yescharacteristic, complemented
85C2×#14579154C2211yescharacteristic, complemented
86C2×#14579154C2211yescharacteristic, complemented
87C2×#14579151C2211yescharacteristic, complemented
88C2×#14579151C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579150C2211yescharacteristic
91C2×#14579150C2211yescharacteristic, complemented
92C2×#14579149C2211yescharacteristic
93C2×#14579149C2211yescharacteristic, complemented
94C2×#14579148C2211yescharacteristic
95C2×#14579147C2211yescharacteristic
96C2×#14579147C2211yescharacteristic
97C2×#14579147C2211yescharacteristic
98C2×#14579147C2211yescharacteristic
99C2×#14579147C2211yescharacteristic
100C2×#14579147C2211yescharacteristic
101C2×#14579147C2211yescharacteristic, complemented
102C2×#14579147C2211yescharacteristic, complemented
103C2×#14579147C2211yescharacteristic, complemented
104C2×#14579147C2211yescharacteristic, complemented
105C2×#14579147C2211yescharacteristic, complemented
106#124×D79C22116yescomplemented
107C2×#14579146C2211yescharacteristic
108C2×#14579146C2211yescharacteristic
109C2×#14579146C2211yescharacteristic
110C2×#14579146C2211yescharacteristic, complemented
111C2×#14579146C2211yescharacteristic, complemented
112C2×#14579146C2211yescharacteristic, complemented
113C2×#14579145C2211yescharacteristic, complemented
114C2×#14579144C2211yescharacteristic, complemented
115C2×#14579144C2211yescharacteristic, complemented
116C2×#14579143C2211yescharacteristic
117C2×#14579143C2211yescharacteristic, complemented
118C2×#14579143C2211yescharacteristic, complemented
119C2×#14579143C2211yescharacteristic, complemented
120C2×#14579142C2211yescharacteristic
121C2×#14579142C2211yescharacteristic, complemented
122C2×#14579142C2211yescharacteristic, complemented
123C2×#14579141C2211yescharacteristic
124C2×#14579141C2211yescharacteristic
125C2×#14579141C2211yescharacteristic, complemented
126C2×#14579141C2211yescharacteristic, complemented
127C2×#14579140C2211yescharacteristic, complemented
128C2×#14579140C2211yescharacteristic, complemented
129C2×#14579140C2211yescharacteristic, complemented
130C2×#14579139C2211yescharacteristic
131C2×#14579139C2211yescharacteristic
132C2×#14579139C2211yescharacteristic
133C2×#14579139C2211yescharacteristic
134C2×#14579139C2211yescharacteristic
135C2×#14579139C2211yescharacteristic, complemented
136C2×#14579139C2211yescharacteristic, complemented
137C2×#14579139C2211yescharacteristic, complemented
138C2×#14579139C2211yescharacteristic, complemented
139C2×#14579139C2211yescharacteristic, complemented
140C2×#14579139C2211yescharacteristic, complemented
141C2×#14579139C2211yescharacteristic, complemented
142C2×#14579138C2211yescharacteristic, complemented
143C2×#14579138C2211yescharacteristic, complemented
144C2×#14579138C2211yescharacteristic, complemented
145C2×#14579138C2211yescharacteristic, complemented
146C2×#14579138C2211yescharacteristic, complemented
147C2×#14579138C2211yescharacteristic, complemented
148C2×#14579138C2211yescharacteristic, complemented
149C2×#14579137C2211yescharacteristic
150C2×#14579137C2211yescharacteristic
151C2×#14579137C2211yescharacteristic, complemented
152C2×#14579137C2211yescharacteristic, complemented
153C2×#14579137C2211yescharacteristic, complemented
154C2×#14579137C2211yescharacteristic, complemented
155C2×#14579136C2211yescharacteristic
156C2×#14579135C2211yescharacteristic, complemented
157C2×#14579134C2211yescharacteristic
158C2×#14579134C2211yescharacteristic
159C2×#14579134C2211yescharacteristic
160C2×#14579134C2211yescharacteristic, complemented
161C2×#14579133C2211yescharacteristic
162C2×#14579133C2211yescharacteristic
163C2×#14579133C2211yescharacteristic, complemented
164C2×#14579132C2211yescharacteristic, complemented
165C2×#14579131C2211yescharacteristic
166C2×#14579131C2211yescharacteristic
167C2×#14579129C2211yescharacteristic
168C2×#14579129C2211yescharacteristic
169C2×C4×Dic158C2211yescharacteristic, complemented
170C2×C4×Dic158C2211yescharacteristic, complemented
171C2×C4×Dic158C2211yescharacteristic, complemented
172C2×C4×Dic158C2211yescharacteristic, complemented
173C2×#14579126C2211yescharacteristic, complemented
174C2×#14579126C2211yescharacteristic, complemented
175C2×C4×D316C2211yescharacteristic
176C2×C4×D316C2211yescharacteristic, complemented
177C2×#14579123C2211yescharacteristic
178C2×#14579123C2211yescharacteristic
179C2×C4×C22⋊D79C2211yescharacteristic
180C2×C4×C22⋊D79C2211yescharacteristic
181C2×(C22⋊D79)⋊C4C2211yescharacteristic
182C2×(C22⋊D79)⋊C4C2211yescharacteristic
183C2×(C22⋊D79)⋊C4C2211yescharacteristic
184C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
187C2×#14579119C2211yescharacteristic, complemented
188C2×#14579119C2211yescharacteristic, complemented
189C2×#14579118C2211yescharacteristic
190C2×#14579118C2211yescharacteristic
191C2×#14579118C2211yescharacteristic, complemented
192C2×#14579117C2211yescharacteristic, complemented
193C2×#14579117C2211yescharacteristic, complemented
194C22×(C2×D79)⋊C4C2211yescharacteristic
195C22×(C2×D79)⋊C4C2211yescharacteristic
196C2×C22⋊C4×D79C2211yescharacteristic
197C2×C22⋊C4×D79C2211yescharacteristic
198C2×C22⋊C4×D79C2211yescharacteristic
199C2×C22⋊C4×D79C2211yescharacteristic
200C2×C22⋊C4×D79C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C42×D79C2211yescharacteristic
203#542×C79C22116yescomplemented
204C2×C4⋊Q8×C79C2211yescharacteristic, complemented
205C2×#126×C79C2211yescharacteristic, complemented
206C2×#126×C79C2211yescharacteristic, complemented
207C2×#124×C79C2211yescharacteristic
208C2×#124×C79C2211yescharacteristic, complemented
209C2×#124×C79C2211yescharacteristic, complemented
210C2×#123×C79C2211yescharacteristic
211C2×#123×C79C2211yescharacteristic, complemented
212C2×C22⋊Q8×C79C2211yescharacteristic, complemented
213C2×C22⋊Q8×C79C2211yescharacteristic, complemented
214C2×C22⋊Q8×C79C2211yescharacteristic, complemented
215C2×#121×C79C2211yescharacteristic
216C2×C4×Q8×C79C2211yescharacteristic, complemented
217C2×C4×D4×C79C2211yescharacteristic, complemented
218C2×#117×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221C2×#11929624—44no—
222C2×#11929624C2318yes—
223C2×#11929623—44no—
224C2×#11929623C2318yes—
225C22×Dic158—44no—
226C22×Dic158C2311yescharacteristic
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C22×Dic158C2311yescharacteristic
234C22×Dic158C2311yescharacteristic
235C22×Dic158C2311yescharacteristic
236C22×Dic158C2318yescomplemented
237C2×Q8×D79—44no—
238C2×Q8×D79—44no—
239C2×Q8×D79C2318yes—
240C2×Q8×D79C2318yescomplemented
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
251C22×C22⋊D79C2311yescharacteristic
252C22×C22⋊D79C2311yescharacteristic
253C2×D4×D79—44no—
254C2×D4×D79C2318yes—
255C23×Dic79C2311yescharacteristic
256C23×Dic79C2311yescharacteristic
257C23×Dic79C2311yescharacteristic
258C23×Dic79C2311yescharacteristic
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
271#14579160C2318yescomplemented
272#14579160C2318yescomplemented
273#14579160C2318yescomplemented
274#14579160C2318yescomplemented
275#14579160C2318yescomplemented
276#14579159C2318yescomplemented
277#14579159C2318yescomplemented
278#14579156C2318yescomplemented
279#14579156C2318yescomplemented
280#14579156C2318yescomplemented
281#14579155C2318yescomplemented
282#14579155C2318yescomplemented
283#14579155C2318yescomplemented
284#14579155C2318yescomplemented
285#14579154C2318yescomplemented
286#14579154C2318yescomplemented
287#14579154C2318yescomplemented
288#14579154C2318yescomplemented
289#14579154C2318yescomplemented
290#14579151C2318yescomplemented
291#14579151C2318yescomplemented
292#14579151C2318yescomplemented
293#14579150C2318yes—
294#14579150C2318yescomplemented
295#14579149C2318yes—
296#14579149C2318yescomplemented
297#14579148C2318yes—
298#14579147C2318yes—
299#14579147C2318yes—
300#14579147C2318yes—
301#14579147C2318yes—
302#14579147C2318yes—
303#14579147C2318yes—
304#14579147C2318yescomplemented
305#14579147C2318yescomplemented
306#14579147C2318yescomplemented
307#14579147C2318yescomplemented
308#14579147C2318yescomplemented
309#14579146C2318yes—
310#14579146C2318yes—
311#14579146C2318yes—
312#14579146C2318yescomplemented
313#14579146C2318yescomplemented
314#14579146C2318yescomplemented
315#14579145C2318yescomplemented
316#14579144C2318yescomplemented
317#14579144C2318yescomplemented
318#14579143C2318yes—
319#14579143C2318yescomplemented
320#14579143C2318yescomplemented
321#14579143C2318yescomplemented
322#14579142C2318yes—
323#14579142C2318yescomplemented
324#14579142C2318yescomplemented
325#14579141C2318yes—
326#14579141C2318yes—
327#14579141C2318yescomplemented
328#14579141C2318yescomplemented
329#14579140C2318yescomplemented
330#14579140C2318yescomplemented
331#14579140C2318yescomplemented
332#14579139C2318yes—
333#14579139C2318yes—
334#14579139C2318yes—
335#14579139C2318yes—
336#14579139C2318yes—
337#14579139C2318yescomplemented
338#14579139C2318yescomplemented
339#14579139C2318yescomplemented
340#14579139C2318yescomplemented
341#14579139C2318yescomplemented
342#14579139C2318yescomplemented
343#14579139C2318yescomplemented
344#14579138C2318yescomplemented
345#14579138C2318yescomplemented
346#14579138C2318yescomplemented
347#14579138C2318yescomplemented
348#14579138C2318yescomplemented
349#14579138C2318yescomplemented
350#14579138C2318yescomplemented
351#14579137C2318yes—
352#14579137C2318yes—
353#14579137C2318yescomplemented
354#14579137C2318yescomplemented
355#14579137C2318yescomplemented
356#14579137C2318yescomplemented
357#14579136C2318yes—
358#14579135C2318yescomplemented
359#14579134C2318yes—
360#14579134C2318yes—
361#14579134C2318yes—
362#14579134C2318yescomplemented
363#14579133C2318yes—
364#14579133C2318yes—
365#14579133C2318yescomplemented
366#14579132C2318yescomplemented
367#14579131C2318yes—
368#14579131C2318yes—
369#14579129C2318yes—
370#14579129C2318yes—
371C4×Dic158C2318yescomplemented
372C4×Dic158C2318yescomplemented
373C4×Dic158C2318yescomplemented
374C4×Dic158C2318yescomplemented
375#14579126C2318yescomplemented
376#14579126C2318yescomplemented
377C4×D316C2318yes—
378C4×D316C2318yescomplemented
379#14579123C2318yes—
380#14579123C2318yes—
381C4×C22⋊D79C2318yes—
382C4×C22⋊D79C2318yes—
383(C22⋊D79)⋊C4C2318yes—
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yes—
386(C22⋊D79)⋊C4C2318yescomplemented
387(C22⋊D79)⋊C4C2318yescomplemented
388(C22⋊D79)⋊C4C2318yescomplemented
389#14579119C2318yescomplemented
390#14579119C2318yescomplemented
391#14579118C2318yes—
392#14579118C2318yes—
393#14579118C2318yescomplemented
394#14579117C2318yescomplemented
395#14579117C2318yescomplemented
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×C4⋊Dic79C2311yescharacteristic
401C2×C4⋊Dic79C2311yescharacteristic
402C2×C4⋊Dic79C2311yescharacteristic
403C2×C4⋊Dic79C2311yescharacteristic
404C2×Dic79⋊C4C2311yescharacteristic
405C2×Dic79⋊C4C2311yescharacteristic
406C2×Dic79⋊C4C2311yescharacteristic
407C2×Dic79⋊C4C2311yescharacteristic
408C2×Dic79⋊C4C2311yescharacteristic
409C2×Dic79⋊C4C2311yescharacteristic
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2311yescharacteristic
412C2×Dic79⋊C4C2311yescharacteristic
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2311yescharacteristic
427C2×Dic79⋊C4C2311yescharacteristic
428C2×C22⋊Dic79C2311yescharacteristic
429C2×C22⋊Dic79C2311yescharacteristic
430C2×C22⋊Dic79C2311yescharacteristic
431C2×C22⋊Dic79C2311yescharacteristic
432C2×C22⋊Dic79C2311yescharacteristic
433C2×C22⋊Dic79C2311yescharacteristic
434C2×C22⋊Dic79C2311yescharacteristic
435C2×C22⋊Dic79C2311yescharacteristic
436C2×C22⋊Dic79C2311yescharacteristic
437C2×C22⋊Dic79C2311yescharacteristic
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
468C22⋊C4×D79C2318yes—
469C22⋊C4×D79C2318yes—
470C22⋊C4×D79C2318yes—
471C22⋊C4×D79C2318yes—
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2318yes—
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C2×C4×Dic79C2311yescharacteristic
479C2×C4×Dic79C2311yescharacteristic
480C2×C4×Dic79C2311yescharacteristic
481C2×C4×Dic79C2311yescharacteristic
482C2×C4×Dic79C2311yescharacteristic
483C2×C4×Dic79C2311yescharacteristic
484C42×D79C2318yes—
485C22×Q8×C79C2311yescharacteristic
486C22×Q8×C79C2311yescharacteristic
487C22×Q8×C79C2311yescharacteristic
488C22×D4×C79C2311yescharacteristic
489C22×D4×C79C2311yescharacteristic
490C22×D4×C79C2311yescharacteristic
491C23×C4×C79C2311yescharacteristic
492C23×C4×C79C2311yescharacteristic
493C23×C4×C79C2311yescharacteristic
494C4⋊Q8×C79C2318yescomplemented
495#126×C79C2318yescomplemented
496#126×C79C2318yescomplemented
497#124×C79C2318yes—
498#124×C79C2318yescomplemented
499#124×C79C2318yescomplemented
500#123×C79C2318yes—
501#123×C79C2318yescomplemented
502C22⋊Q8×C79C2318yescomplemented
503C22⋊Q8×C79C2318yescomplemented
504C22⋊Q8×C79C2318yescomplemented
505#121×C79C2318yes—
506C4×Q8×C79C2318yescomplemented
507C4×D4×C79C2318yescomplemented
508#117×C79C2318yescomplemented
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×C22⋊C4×C79C2311yescharacteristic
520C2×C22⋊C4×C79C2311yescharacteristic
521C2×C22⋊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×C42×C79C2311yescharacteristic
532C2×C42×C79C2311yescharacteristic
533C2×C42×C79C2311yescharacteristic
534C2×C42×C79C2311yescharacteristic
535C23×D79—24no—
536C23×D79—24no—
537C23×D79—42no—
538C23×D79—42no—
539C23×D79—42no—
540C23×D79—42no—
541C23×D79C2411yescharacteristic
542C23×D79C2411yescharacteristic
543C23×D79C2411yescharacteristic
544C23×D79C2411yescharacteristic
545C23×D79C2414yes—
546C23×D79C2414yes—
547#11929624—416no—
548#11929623—416no—
549C2×Dic158—24no—
550C2×Dic158—24no—
551C2×Dic158—24no—
552C2×Dic158—24no—
553C2×Dic158—42no—
554C2×Dic158—42no—
555C2×Dic158—42no—
556C2×Dic158—42no—
557C2×Dic158—42no—
558C2×Dic158—42no—
559C2×Dic158—416no—
560C2×Dic158C2414yes—
561C2×Dic158C2414yes—
562C2×Dic158C2414yes—
563C2×Dic158C2414yes—
564C2×Dic158C2414yes—
565C2×Dic158C2414yes—
566C2×Dic158C2414yes—
567C2×Dic158C2414yes—
568C2×Dic158C2414yes—
569C2×Dic158C2414yes—
570Q8×D79—416no—
571Q8×D79—416no—
572C2×D316—24no—
573C2×D316—42no—
574C2×D316—42no—
575C2×D316—42no—
576C2×D316C2414yes—
577C2×D316C2414yes—
578C2×D316C2414yes—
579C2×D316C2414yes—
580C2×C22⋊D79—24no—
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⋊D79—42no—
588C2×C22⋊D79C2414yes—
589C2×C22⋊D79C2414yes—
590C2×C22⋊D79C2414yes—
591C2×C22⋊D79C2414yes—
592C2×C22⋊D79C2414yes—
593C2×C22⋊D79C2414yes—
594C2×C22⋊D79C2414yes—
595C2×C22⋊D79C2414yes—
596D4×D79—416no—
597C22×Dic79—24no—
598C22×Dic79—42no—
599C22×Dic79—42no—
600C22×Dic79—42no—
601C22×Dic79C2411yescharacteristic
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2411yescharacteristic
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C22×Dic79C2411yescharacteristic
607C22×Dic79C2411yescharacteristic
608C22×Dic79C2411yescharacteristic
609C22×Dic79C2411yescharacteristic
610C22×Dic79C2414yes—
611C22×Dic79C2411yescharacteristic
612C22×Dic79C2411yescharacteristic
613C22×Dic79C2414yes—
614C22×Dic79C2414yes—
615C22×Dic79C2414yes—
616C22×Dic79C2411yescharacteristic
617C2×C4×D79—24no—
618C2×C4×D79—24no—
619C2×C4×D79—24no—
620C2×C4×D79—42no—
621C2×C4×D79—42no—
622C2×C4×D79—42no—
623C2×C4×D79—42no—
624C2×C4×D79—42no—
625C2×C4×D79—42no—
626C2×C4×D79—42no—
627C2×C4×D79—42no—
628C2×C4×D79—42no—
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—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2414yes—
648C4⋊Dic79C2414yes—
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—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2414yes—
682C22⋊Dic79C2414yes—
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—
711C4×Dic79C2414yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C24×C79C2411yescharacteristic
722C24×C79C2411yescharacteristic
723C24×C79C2411yescharacteristic
724C2×Q8×C79—42no—
725C2×Q8×C79—42no—
726C2×Q8×C79—42no—
727C2×Q8×C79C2414yes—
728C2×Q8×C79C2414yes—
729C2×Q8×C79C2414yes—
730C2×D4×C79—42no—
731C2×D4×C79—42no—
732C2×D4×C79—42no—
733C2×D4×C79C2414yes—
734C2×D4×C79C2414yes—
735C2×D4×C79C2414yes—
736C22×C4×C79—42no—
737C22×C4×C79—42no—
738C22×C4×C79—42no—
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×C79C2411yescharacteristic
750C22×C4×C79C2411yescharacteristic
751C22×C4×C79C2414yes—
752C22×C4×C79C2414yes—
753C22×C4×C79C2414yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2414yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2414yes—
762C4⋊C4×C79C2414yes—
763C4⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C22⋊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—
776C42×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×C79—22no—
787C23×C79—22no—
788C23×C79—22no—
789C23×C79C2512yes—
790C23×C79C2512yes—
791C23×C79C2512yes—
792C23×C79C2511yescharacteristic
793C22×D79—22no—
794C22×D79—22no—
795C22×D79—22no—
796C22×D79—22no—
797C22×D79—22no—
798C22×D79—22no—
799C22×D79—22no—
800C22×D79—22no—
801C22×D79—22no—
802C22×D79—22no—
803C22×D79—22no—
804C22×D79—28no—
805C22×D79—28no—
806C22×D79—44no—
807C22×D79—44no—
808C22×D79—44no—
809C22×D79—44no—
810C22×D79—88no—
811C22×D79—88no—
812C22×D792−1+414yes—
813C22×D79C2512yes—
814C22×D79C2512yes—
815C22×D79C2512yes—
816C22×D79C2512yes—
817Q8×C79—44no—
818Q8×C79—44no—
819Q8×C79—44no—
820D4×C79—44no—
821D4×C79—44no—
822D4×C79—44no—
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—22no—
835C2×C4×C79—44no—
836C2×C4×C79—44no—
837C2×C4×C79—44no—
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—
849C2×C4×C79C2512yes—
850C22⋊D79—28no—
851C22⋊D79—28no—
852C22⋊D79—28no—
853C22⋊D79—44no—
854C22⋊D79—44no—
855C22⋊D79—44no—
856C22⋊D79—44no—
857C22⋊D79—44no—
858C2×Dic79—22no—
859C2×Dic79—22no—
860C2×Dic79—22no—
861C2×Dic79—22no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—22no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—22no—
868C2×Dic79—22no—
869C2×Dic79—28no—
870C2×Dic79—44no—
871C2×Dic79—44no—
872C2×Dic79—44no—
873C2×Dic79H(5,𝔽2)14yes—
874C2×Dic79C2512yes—
875C2×Dic79C2512yes—
876C2×Dic79C2512yes—
877C2×Dic79C2512yes—
878C2×Dic79C2512yes—
879C2×Dic79C2512yes—
880C2×Dic79C2512yes—
881C2×Dic79C2512yes—
882C2×Dic79C2512yes—
883C2×Dic79C2512yes—
884C2×Dic79C2512yes—
885C2×Dic79C2512yes—
886D316—28no—
887D316—44no—
888D316—44no—
889D316—44no—
890C4×D79—28no—
891C4×D79—28no—
892C4×D79—28no—
893C4×D79—44no—
894C4×D79—44no—
895C4×D79—44no—
896C4×D79—44no—
897C4×D79—44no—
898C4×D79—44no—
899C4×D79—44no—
900C4×D79—44no—
901C4×D79—44no—
902Dic158—28no—
903Dic158—28no—
904Dic158—28no—
905Dic158—28no—
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—22no—
919C22×C79—22no—
920C22×C79—22no—
921C22×C79—44no—
922C22×C79—44no—
923C22×C79—44no—
924C22×C79C2×H(5,𝔽2)12yes—
925C22×C79C2×2−1+412yes—
926C22×C79#58512yes—
927C22×C79C2611yescharacteristic
928C2×D79—22no—
929C2×D79—22no—
930C2×D79—28no—
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—22no—
940C2×D79—44no—
941C2×D79—44no—
942C2×D79—44no—
943C2×D79—88no—
944C2×D79—88no—
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—
958Dic79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79—22no—
968Dic79—22no—
969Dic79C2×H(5,𝔽2)14yes—
970C2×#3561—791nomaximal, Sylow
971C2×C79—42no—
972C2×C79—42no—
973C2×C79—42no—
974C2×C79#356114yescomplemented
975C2×C79C22×H(5,𝔽2)11yescharacteristic
976C2×C79C22×2−1+411yescharacteristic
977C2×C79C2×#58511yescharacteristic
978D79—24no—
979D79—42no—
980D79—42no—
981D79—42no—
982#3561—7932no—
983C2×#563—791no—
984C2×#563—791no—
985C2×#562—791no—
986C2×#562—791no—
987C2×#556—791no—
988C2×#556—791no—
989C2×#551—791no—
990C2×#551—791no—
991C2×#551—791no—
992C2×#551—791no—
993C2×D4×Q8—791no—
994C2×D4×Q8—791no—
995C2×#548—791no—
996C2×#548—791no—
997C2×#546—791no—
998C2×#546—791no—
999C2×#543—791no—
1000C2×#543—791no—
1001C2×#542—791no—
1002C2×#542—791no—
1003C2×#542—791no—
1004C2×#542—791no—
1005C2×#542—791no—
1006C2×#542D7911yescharacteristic, complemented
1007C2×#538—791no—
1008C2×#538—791no—
1009C2×#536—791no—
1010C2×#536—791no—
1011C2×#533—791no—
1012C2×#529—791no—
1013C22×#124—791no—
1014C79C2×#356111yescharacteristic, complemented, Sylow
1015C22×#41—791no—
1016C22×#41—791no—
1017C23×Q8—791no—
1018C23×Q8—791no—
1019C23×Q8—791no—
1020C23×D4—791no—
1021#563—7916no—
1022#563—7916no—
1023#562—7916no—
1024#562—7916no—
1025#556—7916no—
1026#556—7916no—
1027#551—7916no—
1028#551—7916no—
1029#551—7916no—
1030#551—7916no—
1031D4×Q8—7916no—
1032D4×Q8—7916no—
1033#548—7916no—
1034#548—7916no—
1035#546—7916no—
1036#546—7916no—
1037#543—7916no—
1038#543—7916no—
1039#542—7916no—
1040#542—7916no—
1041#542—7916no—
1042#542—7916no—
1043#542—7916no—
1044#542C2×D79116yescomplemented
1045#538—7916no—
1046#538—7916no—
1047#536—7916no—
1048#536—7916no—
1049#533—7916no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×C4⋊Q8—791no—
1054C2×C4⋊Q8—791no—
1055C2×C4⋊Q8—791no—
1056C2×C4⋊Q8—791no—
1057C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1058#529—7916no—
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×#126—791no—
1068C2×#126—791no—
1069C2×#126—791no—
1070C2×#126—791no—
1071C2×#126C2×D7911yescharacteristic, complemented
1072C2×#126C2×D7911yescharacteristic, complemented
1073C2×#125—791no—
1074C2×#125—791no—
1075C2×#125—791no—
1076C2×#124—791no—
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—7916no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124—791no—
1084C2×#124—791no—
1085C2×#124—791no—
1086C2×#124—791no—
1087C2×#124—791no—
1088C2×#124—791no—
1089C2×#124—791no—
1090C2×#124—791no—
1091C2×#124—791no—
1092C2×#124—791no—
1093C2×#124C2×D7911yescharacteristic
1094C2×#124C2×D7911yescharacteristic, complemented
1095C2×#124C2×D7911yescharacteristic, complemented
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×#123C2×D7911yescharacteristic
1113C2×#123C2×D7911yescharacteristic, complemented
1114C2×C22⋊Q8—791no—
1115C2×C22⋊Q8—791no—
1116C2×C22⋊Q8—791no—
1117C2×C22⋊Q8—791no—
1118C2×C22⋊Q8—791no—
1119C2×C22⋊Q8—791no—
1120C2×C22⋊Q8—791no—
1121C2×C22⋊Q8—791no—
1122C2×C22⋊Q8—791no—
1123C2×C22⋊Q8—791no—
1124C2×C22⋊Q8—791no—
1125C2×C22⋊Q8—791no—
1126C2×C22⋊Q8—791no—
1127C2×C22⋊Q8—791no—
1128C2×C22⋊Q8—791no—
1129C2×C22⋊Q8—791no—
1130C2×C22⋊Q8—791no—
1131C2×C22⋊Q8—791no—
1132C2×C22⋊Q8—791no—
1133C2×C22⋊Q8—791no—
1134C2×C22⋊Q8—791no—
1135C2×C22⋊Q8—791no—
1136C2×C22⋊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×#121—791no—
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×#121C2×D7911yescharacteristic
1160C2×#120—791no—
1161C2×#120—791no—
1162C2×#120—791no—
1163C2×#120—791no—
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×Q8—791no—
1167C2×C4×Q8—791no—
1168C2×C4×Q8—791no—
1169C2×C4×Q8—791no—
1170C2×C4×Q8C2×D7911yescharacteristic, complemented
1171C2×C4×D4—791no—
1172C2×C4×D4—791no—
1173C2×C4×D4—791no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—791no—
1177C2×C4×D4—791no—
1178C2×C4×D4—791no—
1179C2×C4×D4—791no—
1180C2×C4×D4—791no—
1181C2×C4×D4—791no—
1182C2×C4×D4—791no—
1183C2×C4×D4C2×D7911yescharacteristic, complemented
1184C2×#117—791no—
1185C2×#117—791no—
1186C2×#117—791no—
1187C2×#117—791no—
1188C2×#117—791no—
1189C2×#117—791no—
1190C2×#117—791no—
1191C2×#117C2×D7911yescharacteristic, complemented
1192C22×C22⋊C4—791no—
1193C22×C22⋊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×C42—791no—
1201C25—791no—
1202C25—791no—
1203C2×#41—3164no—
1204C2×#41—3164no—
1205C2×#41—798no—
1206C2×#41—798no—
1207C22×Q8—3164no—
1208C22×Q8—3164no—
1209C22×Q8—3164no—
1210C22×Q8—798no—
1211C22×Q8—798no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8—791no—
1215C22×Q8—791no—
1216C22×Q8—791no—
1217C22×Q8—791no—
1218C22×Q8—798no—
1219C22×Q8—791no—
1220C22×Q8—791no—
1221C22×Q8—791no—
1222C22×Q8—791no—
1223C22×Q8C22×D7911yescharacteristic
1224C22×Q8C22×D7911yescharacteristic
1225C22×Q8C22×D7911yescharacteristic
1226C22×D4—3164no—
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×D4—791no—
1237C22×D4—791no—
1238C22×D4—791no—
1239C22×D4—791no—
1240C22×D4C22×D7911yescharacteristic
1241C22×D4C22×D7911yescharacteristic
1242C22×D4C22×D7911yescharacteristic
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—791no—
1255C23×C4—791no—
1256C23×C4—791no—
1257C23×C4—791no—
1258C23×C4—791no—
1259C23×C4C22×D7911yescharacteristic
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8—798no—
1267C4⋊Q8—798no—
1268C4⋊Q8—798no—
1269C4⋊Q8C22×D7918yescomplemented
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#126—798no—
1281#126—798no—
1282#126C22×D7918yescomplemented
1283#126C22×D7918yescomplemented
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#124—798no—
1288#124—798no—
1289#124—798no—
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#124—798no—
1299#124—798no—
1300#124—798no—
1301#124—798no—
1302#124—798no—
1303#124C22×D7918yes—
1304#124C22×D7918yescomplemented
1305#124C22×D7918yescomplemented
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#123C22×D7918yes—
1323#123C22×D7918yescomplemented
1324C22⋊Q8—798no—
1325C22⋊Q8—798no—
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8—798no—
1342C22⋊Q8—798no—
1343C22⋊Q8—798no—
1344C22⋊Q8—798no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊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
1359#121—798no—
1360#121—798no—
1361#121—798no—
1362#121—798no—
1363#121—798no—
1364#121—798no—
1365#121—798no—
1366#121—798no—
1367#121—798no—
1368#121—798no—
1369#121C22×D7918yes—
1370#120—798no—
1371#120—798no—
1372#120—798no—
1373#120—798no—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×Q8—798no—
1377C4×Q8—798no—
1378C4×Q8—798no—
1379C4×Q8—798no—
1380C4×Q8C22×D7918yescomplemented
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—798no—
1385C4×D4—798no—
1386C4×D4—798no—
1387C4×D4—798no—
1388C4×D4—798no—
1389C4×D4—798no—
1390C4×D4—798no—
1391C4×D4—798no—
1392C4×D4—798no—
1393C4×D4C22×D7918yescomplemented
1394#117—798no—
1395#117—798no—
1396#117—798no—
1397#117—798no—
1398#117—798no—
1399#117—798no—
1400#117—798no—
1401#117C22×D7918yescomplemented
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—791no—
1432C2×C4⋊C4—791no—
1433C2×C4⋊C4—791no—
1434C2×C4⋊C4C22×D7911yescharacteristic
1435C2×C4⋊C4C22×D7911yescharacteristic
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×D7911yescharacteristic
1444C2×C22⋊C4—791no—
1445C2×C22⋊C4—791no—
1446C2×C22⋊C4—791no—
1447C2×C22⋊C4—791no—
1448C2×C22⋊C4—791no—
1449C2×C22⋊C4—791no—
1450C2×C22⋊C4—791no—
1451C2×C22⋊C4—791no—
1452C2×C22⋊C4—791no—
1453C2×C22⋊C4—791no—
1454C2×C22⋊C4—791no—
1455C2×C22⋊C4—791no—
1456C2×C22⋊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—798no—
1473C2×C22⋊C4—798no—
1474C2×C22⋊C4—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—791no—
1478C2×C22⋊C4—791no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—791no—
1481C2×C22⋊C4—791no—
1482C2×C22⋊C4—791no—
1483C2×C22⋊C4—791no—
1484C2×C22⋊C4—798no—
1485C2×C22⋊C4—798no—
1486C2×C22⋊C4—798no—
1487C2×C22⋊C4—798no—
1488C2×C22⋊C4—798no—
1489C2×C22⋊C4—798no—
1490C2×C22⋊C4C22×D7911yescharacteristic
1491C2×C22⋊C4C22×D7911yescharacteristic
1492C2×C22⋊C4C22×D7911yescharacteristic
1493C2×C22⋊C4C22×D7911yescharacteristic
1494C2×C22⋊C4C22×D7911yescharacteristic
1495C2×C22⋊C4C22×D7911yescharacteristic
1496C2×C22⋊C4C22×D7911yescharacteristic
1497C2×C22⋊C4C22×D7911yescharacteristic
1498C2×C22⋊C4C22×D7911yescharacteristic
1499C2×C22⋊C4C22×D7911yescharacteristic
1500C2×C22⋊C4C22×D7911yescharacteristic
1501C2×C22⋊C4C22×D7911yescharacteristic
1502C2×C42—791no—
1503C2×C42—791no—
1504C2×C42—791no—
1505C2×C42—791no—
1506C2×C42—791no—
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—798no—
1513C2×C42C22×D7911yescharacteristic
1514C2×C42C22×D7911yescharacteristic
1515C2×C42C22×D7911yescharacteristic
1516C2×C42C22×D7911yescharacteristic
1517C24—3162no—
1518C24—3162no—
1519C24—3162no—
1520C24—3162no—
1521C24—794no—
1522C24—794no—
1523C24—791no—
1524C24—791no—
1525C24—791no—
1526C24—791no—
1527C24—1584no—
1528C24—1584no—
1529C24C23×D7911yescharacteristic
1530C24C23×D7911yescharacteristic
1531C24C23×D7911yescharacteristic
1532#41—31616no—
1533#41—31616no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—3162no—
1538C2×Q8—3162no—
1539C2×Q8—3162no—
1540C2×Q8—3162no—
1541C2×Q8—3162no—
1542C2×Q8—3162no—
1543C2×Q8—31616no—
1544C2×Q8—31616no—
1545C2×Q8—31616no—
1546C2×Q8—794no—
1547C2×Q8—794no—
1548C2×Q8—794no—
1549C2×Q8—794no—
1550C2×Q8—794no—
1551C2×Q8—794no—
1552C2×Q8—794no—
1553C2×Q8—794no—
1554C2×Q8—794no—
1555C2×Q8—794no—
1556C2×Q8—1584no—
1557C2×Q8—1584no—
1558C2×Q8—1584no—
1559C2×Q8—1584no—
1560C2×Q8C23×D7914yes—
1561C2×Q8C23×D7914yes—
1562C2×Q8C23×D7914yes—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—3162no—
1567C2×D4—3162no—
1568C2×D4—3162no—
1569C2×D4—31616no—
1570C2×D4—3162no—
1571C2×D4—3162no—
1572C2×D4—3162no—
1573C2×D4—3162no—
1574C2×D4—3162no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—794no—
1578C2×D4—794no—
1579C2×D4—794no—
1580C2×D4—794no—
1581C2×D4—794no—
1582C2×D4—794no—
1583C2×D4—794no—
1584C2×D4—794no—
1585C2×D4—794no—
1586C2×D4—794no—
1587C2×D4—1584no—
1588C2×D4—1584no—
1589C2×D4—1584no—
1590C2×D4—1584no—
1591C2×D4C23×D7914yes—
1592C2×D4C23×D7914yes—
1593C2×D4C23×D7914yes—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—3162no—
1598C22×C4—3162no—
1599C22×C4—3162no—
1600C22×C4—3162no—
1601C22×C4—3162no—
1602C22×C4—3162no—
1603C22×C4—3162no—
1604C22×C4—3162no—
1605C22×C4—3162no—
1606C22×C4—3162no—
1607C22×C4—3162no—
1608C22×C4—3162no—
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—794no—
1621C22×C4—791no—
1622C22×C4—794no—
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—791no—
1632C22×C4—791no—
1633C22×C4—791no—
1634C22×C4—794no—
1635C22×C4—794no—
1636C22×C4—794no—
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×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⋊C4C23×D7914yes—
1689C4⋊C4C23×D7914yes—
1690C4⋊C4C23×D7914yes—
1691C4⋊C4C23×D7914yes—
1692C4⋊C4C23×D7914yes—
1693C4⋊C4C23×D7914yes—
1694C4⋊C4C23×D7914yes—
1695C4⋊C4C23×D7914yes—
1696C4⋊C4C23×D7914yes—
1697C4⋊C4C23×D7914yes—
1698C22⋊C4—794no—
1699C22⋊C4—794no—
1700C22⋊C4—794no—
1701C22⋊C4—794no—
1702C22⋊C4—794no—
1703C22⋊C4—794no—
1704C22⋊C4—794no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4—794no—
1714C22⋊C4—794no—
1715C22⋊C4—794no—
1716C22⋊C4—794no—
1717C22⋊C4—794no—
1718C22⋊C4—794no—
1719C22⋊C4—794no—
1720C22⋊C4—794no—
1721C22⋊C4—794no—
1722C22⋊C4—794no—
1723C22⋊C4—794no—
1724C22⋊C4—794no—
1725C22⋊C4—794no—
1726C22⋊C4—794no—
1727C22⋊C4—794no—
1728C22⋊C4—794no—
1729C22⋊C4—794no—
1730C22⋊C4—794no—
1731C22⋊C4—794no—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4—794no—
1735C22⋊C4—794no—
1736C22⋊C4C23×D7914yes—
1737C22⋊C4C23×D7914yes—
1738C22⋊C4C23×D7914yes—
1739C22⋊C4C23×D7914yes—
1740C22⋊C4C23×D7914yes—
1741C22⋊C4C23×D7914yes—
1742C22⋊C4C23×D7914yes—
1743C22⋊C4C23×D7914yes—
1744C22⋊C4C23×D7914yes—
1745C22⋊C4C23×D7914yes—
1746C22⋊C4C23×D7914yes—
1747C22⋊C4C23×D7914yes—
1748C42—794no—
1749C42—794no—
1750C42—794no—
1751C42—794no—
1752C42—794no—
1753C42—794no—
1754C42—794no—
1755C42—794no—
1756C42—794no—
1757C42—794no—
1758C42C23×D7914yes—
1759C42C23×D7914yes—
1760C42C23×D7914yes—
1761C42C23×D7914yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—3164no—
1772C23—3164no—
1773C23—3164no—
1774C23—3164no—
1775C23—794no—
1776C23—792no—
1777C23—792no—
1778C23—792no—
1779C23—792no—
1780C23—6328no—
1781C23—6328no—
1782C23—1588no—
1783C23—1588no—
1784C23—1582no—
1785C23—1582no—
1786C23—1582no—
1787C23—1582no—
1788C23—1582no—
1789C23—1582no—
1790C23—1582no—
1791C23—1582no—
1792C23—1582no—
1793C23—1582no—
1794C23—1582no—
1795C23C24×D7912yes—
1796C23C24×D7912yes—
1797C23C24×D7912yes—
1798C23C24×D7911yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—3164no—
1803Q8—3164no—
1804Q8—3164no—
1805Q8—3164no—
1806Q8—3164no—
1807Q8—3164no—
1808Q8—1588no—
1809Q8—1588no—
1810Q8—1588no—
1811Q8—1588no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
1818D4—3164no—
1819D4—3164no—
1820D4—3164no—
1821D4—3164no—
1822D4—3164no—
1823D4—1588no—
1824D4—1588no—
1825D4—1588no—
1826D4—1588no—
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—22no—
1837C2×C4—22no—
1838C2×C4—22no—
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—794no—
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—792no—
1866C2×C4—792no—
1867C2×C4—1588no—
1868C2×C4—1588no—
1869C2×C4—1588no—
1870C2×C4—1588no—
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×C4—1582no—
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—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—3164no—
1907C22—3164no—
1908C22—3164no—
1909C22—794no—
1910C22—6328no—
1911C22—6328no—
1912C22—1582no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1582no—
1919C22—1582no—
1920C22—1582no—
1921C22—1582no—
1922C22—1582no—
1923C22—1588no—
1924C22H(5,𝔽2)×D7912yes—
1925C222−1+4×D7912yes—
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—794no—
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—42no—
1955C2—3162no—
1956C2—3162no—
1957C2—3162no—
1958C2—1584no—
1959C2#2377796414yesdirect product factor
1960C2C2×H(5,𝔽2)×D7911yescharacteristic
1961C2C2×2−1+4×D7911yescharacteristic
1962C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#542×C79C2
socleC23×C79C25
hypercenterC2×#542D79
hypocenterC79C2×#3561
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #23777964C2direct (N × H)
2. C2×#19099316C2semidirect
3. C2×#19099312C2semidirect
4. C2×#19099309C2semidirect
5. C2×#19099308C2semidirect
6. C2×#19099281C2semidirect
7. C2×#19099280C2semidirect
8. C2×#19099243C2semidirect
9. C2×#19099242C2semidirect
10. C2×#19099238C2semidirect
11. C2×#19099237C2semidirect
12. C2×#19099228C2semidirect
13. C2×#19099226C2semidirect
14. C2×#19099222C2semidirect
15. C2×#19099221C2semidirect
16. C2×#19099205C2semidirect
17. C2×#19099202C2semidirect
18. C2×#19099188C2semidirect
19. C2×#19099188C2semidirect
20. C2×#19099185C2semidirect
21. C2×#19099183C2semidirect
22. C2×#19099179C2semidirect
23. C2×#19099177C2semidirect
24. C2×#19099177C2semidirect
25. C2×#19099149C2semidirect
26. C2×#19099147C2semidirect
27. C2×#19099136C2semidirect
28. C2×#19099135C2semidirect
29. C2×#19099117C2semidirect
30. C2×#19099096C2semidirect
31. C2×#124×D79C2semidirect
32. C2×#542×C79C2semidirect
35. C23×Dic158C22semidirect
37. C22×Q8×D79C22semidirect
39. #19099316C22semidirect
40. #19099312C22semidirect
41. #19099309C22semidirect
42. #19099308C22semidirect
43. #19099281C22semidirect
44. #19099280C22semidirect
45. #19099243C22semidirect
46. #19099242C22semidirect
47. #19099238C22semidirect
48. #19099237C22semidirect
49. #19099228C22semidirect
50. #19099226C22semidirect
51. #19099222C22semidirect
52. #19099221C22semidirect
53. #19099205C22semidirect
54. #19099202C22semidirect
55. #19099188C22semidirect
56. #19099188C22semidirect
57. #19099185C22semidirect
58. #19099183C22semidirect
59. #19099179C22semidirect
60. #19099177C22semidirect
61. #19099177C22semidirect
62. #19099149C22semidirect
63. #19099147C22semidirect
64. #19099136C22semidirect
65. #19099135C22semidirect
66. #19099117C22semidirect
67. C2×#14579160C22semidirect
68. C2×#14579160C22semidirect
69. C2×#14579160C22semidirect
70. C2×#14579160C22semidirect
71. C2×#14579160C22semidirect
72. C2×#14579159C22semidirect
73. C2×#14579159C22semidirect
74. #19099096C22semidirect
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×#14579154C22semidirect
84. C2×#14579154C22semidirect
85. C2×#14579154C22semidirect
86. C2×#14579154C22semidirect
87. C2×#14579151C22semidirect
88. C2×#14579151C22semidirect
89. C2×#14579151C22semidirect
91. C2×#14579150C22semidirect
93. C2×#14579149C22semidirect
101. C2×#14579147C22semidirect
102. C2×#14579147C22semidirect
103. C2×#14579147C22semidirect
104. C2×#14579147C22semidirect
105. C2×#14579147C22semidirect
106. #124×D79C22semidirect
110. C2×#14579146C22semidirect
111. C2×#14579146C22semidirect
112. C2×#14579146C22semidirect
113. C2×#14579145C22semidirect
114. C2×#14579144C22semidirect
115. C2×#14579144C22semidirect
117. C2×#14579143C22semidirect
118. C2×#14579143C22semidirect
119. C2×#14579143C22semidirect
121. C2×#14579142C22semidirect
122. C2×#14579142C22semidirect
125. C2×#14579141C22semidirect
126. C2×#14579141C22semidirect
127. C2×#14579140C22semidirect
128. C2×#14579140C22semidirect
129. C2×#14579140C22semidirect
135. C2×#14579139C22semidirect
136. C2×#14579139C22semidirect
137. C2×#14579139C22semidirect
138. C2×#14579139C22semidirect
139. C2×#14579139C22semidirect
140. C2×#14579139C22semidirect
141. C2×#14579139C22semidirect
142. C2×#14579138C22semidirect
143. C2×#14579138C22semidirect
144. C2×#14579138C22semidirect
145. C2×#14579138C22semidirect
146. C2×#14579138C22semidirect
147. C2×#14579138C22semidirect
148. C2×#14579138C22semidirect
151. C2×#14579137C22semidirect
152. C2×#14579137C22semidirect
153. C2×#14579137C22semidirect
154. C2×#14579137C22semidirect
156. C2×#14579135C22semidirect
160. C2×#14579134C22semidirect
163. C2×#14579133C22semidirect
164. C2×#14579132C22semidirect
169. C2×C4×Dic158C22semidirect
170. C2×C4×Dic158C22semidirect
171. C2×C4×Dic158C22semidirect
172. C2×C4×Dic158C22semidirect
173. C2×#14579126C22semidirect
174. C2×#14579126C22semidirect
176. C2×C4×D316C22semidirect
184. C2×(C22⋊D79)⋊C4C22semidirect
185. C2×(C22⋊D79)⋊C4C22semidirect
186. C2×(C22⋊D79)⋊C4C22semidirect
187. C2×#14579119C22semidirect
188. C2×#14579119C22semidirect
191. C2×#14579118C22semidirect
192. C2×#14579117C22semidirect
193. C2×#14579117C22semidirect
203. #542×C79C22semidirect
204. C2×C4⋊Q8×C79C22semidirect
205. C2×#126×C79C22semidirect
206. C2×#126×C79C22semidirect
208. C2×#124×C79C22semidirect
209. C2×#124×C79C22semidirect
211. C2×#123×C79C22semidirect
212. C2×C22⋊Q8×C79C22semidirect
213. C2×C22⋊Q8×C79C22semidirect
214. C2×C22⋊Q8×C79C22semidirect
216. C2×C4×Q8×C79C22semidirect
217. C2×C4×D4×C79C22semidirect
218. C2×#117×C79C22semidirect
236. C22×Dic158C23semidirect
240. C2×Q8×D79C23semidirect
271. #14579160C23semidirect
272. #14579160C23semidirect
273. #14579160C23semidirect
274. #14579160C23semidirect
275. #14579160C23semidirect
276. #14579159C23semidirect
277. #14579159C23semidirect
278. #14579156C23semidirect
279. #14579156C23semidirect
280. #14579156C23semidirect
281. #14579155C23semidirect
282. #14579155C23semidirect
283. #14579155C23semidirect
284. #14579155C23semidirect
285. #14579154C23semidirect
286. #14579154C23semidirect
287. #14579154C23semidirect
288. #14579154C23semidirect
289. #14579154C23semidirect
290. #14579151C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
294. #14579150C23semidirect
296. #14579149C23semidirect
304. #14579147C23semidirect
305. #14579147C23semidirect
306. #14579147C23semidirect
307. #14579147C23semidirect
308. #14579147C23semidirect
312. #14579146C23semidirect
313. #14579146C23semidirect
314. #14579146C23semidirect
315. #14579145C23semidirect
316. #14579144C23semidirect
317. #14579144C23semidirect
319. #14579143C23semidirect
320. #14579143C23semidirect
321. #14579143C23semidirect
323. #14579142C23semidirect
324. #14579142C23semidirect
327. #14579141C23semidirect
328. #14579141C23semidirect
329. #14579140C23semidirect
330. #14579140C23semidirect
331. #14579140C23semidirect
337. #14579139C23semidirect
338. #14579139C23semidirect
339. #14579139C23semidirect
340. #14579139C23semidirect
341. #14579139C23semidirect
342. #14579139C23semidirect
343. #14579139C23semidirect
344. #14579138C23semidirect
345. #14579138C23semidirect
346. #14579138C23semidirect
347. #14579138C23semidirect
348. #14579138C23semidirect
349. #14579138C23semidirect
350. #14579138C23semidirect
353. #14579137C23semidirect
354. #14579137C23semidirect
355. #14579137C23semidirect
356. #14579137C23semidirect
358. #14579135C23semidirect
362. #14579134C23semidirect
365. #14579133C23semidirect
366. #14579132C23semidirect
371. C4×Dic158C23semidirect
372. C4×Dic158C23semidirect
373. C4×Dic158C23semidirect
374. C4×Dic158C23semidirect
375. #14579126C23semidirect
376. #14579126C23semidirect
378. C4×D316C23semidirect
386. (C22⋊D79)⋊C4C23semidirect
387. (C22⋊D79)⋊C4C23semidirect
388. (C22⋊D79)⋊C4C23semidirect
389. #14579119C23semidirect
390. #14579119C23semidirect
393. #14579118C23semidirect
394. #14579117C23semidirect
395. #14579117C23semidirect
494. C4⋊Q8×C79C23semidirect
495. #126×C79C23semidirect
496. #126×C79C23semidirect
498. #124×C79C23semidirect
499. #124×C79C23semidirect
501. #123×C79C23semidirect
502. C22⋊Q8×C79C23semidirect
503. C22⋊Q8×C79C23semidirect
504. C22⋊Q8×C79C23semidirect
506. C4×Q8×C79C23semidirect
507. C4×D4×C79C23semidirect
508. #117×C79C23semidirect
974. C2×C79#3561semidirect
1006. C2×#542D79semidirect
1014. C79C2×#3561semidirect
1044. #542C2×D79semidirect
1057. C2×C4⋊Q8C2×D79semidirect
1071. C2×#126C2×D79semidirect
1072. C2×#126C2×D79semidirect
1094. C2×#124C2×D79semidirect
1095. C2×#124C2×D79semidirect
1113. C2×#123C2×D79semidirect
1146. C2×C22⋊Q8C2×D79semidirect
1147. C2×C22⋊Q8C2×D79semidirect
1148. C2×C22⋊Q8C2×D79semidirect
1170. C2×C4×Q8C2×D79semidirect
1183. C2×C4×D4C2×D79semidirect
1191. C2×#117C2×D79semidirect
1269. C4⋊Q8C22×D79semidirect
1282. #126C22×D79semidirect
1283. #126C22×D79semidirect
1304. #124C22×D79semidirect
1305. #124C22×D79semidirect
1323. #123C22×D79semidirect
1356. C22⋊Q8C22×D79semidirect
1357. C22⋊Q8C22×D79semidirect
1358. C22⋊Q8C22×D79semidirect
1380. C4×Q8C22×D79semidirect
1393. C4×D4C22×D79semidirect
1401. #117C22×D79semidirect
1959. C2#23777964direct (N × H)

Maximal subgroups

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

subgroupindex
#237779642
C2×#190993162
C2×#190993122
C2×#190993092
C2×#190993082
C2×#190992812
C2×#190992802
C2×#190992432
C2×#190992422
C2×#190992382
C2×#190992372
C2×#190992282
C2×#190992262
C2×#190992222
C2×#190992212
C2×#190992052
C2×#190992022
C2×#190991882
C2×#190991852
C2×#190991832
C2×#190991792
C2×#190991772
C2×#190991492
C2×#190991472
C2×#190991362
C2×#190991352
C2×#190991172
C2×#190990962
C2×#124×D792
C2×#542×C792
C2×#356179