Finite Group Databasebeta

← C2×#23777688 #35195434

Subgroups — C2×#23777688 #35195434

Order 20224.

7258 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777688C2132yesmaximal, direct product factor
2C2×#19099316C211yesmaximal, characteristic, complemented
3C2×#19099315C211yesmaximal, characteristic, complemented
4C2×#19099308C211yesmaximal, characteristic, complemented
5C2×#19099307C211yesmaximal, characteristic, complemented
6C2×#19099282C211yesmaximal, characteristic, complemented
7C2×#19099272C211yesmaximal, characteristic, complemented
8C2×#19099271C211yesmaximal, characteristic, complemented
9C2×#19099267C211yesmaximal, characteristic, complemented
10C2×#19099265C211yesmaximal, characteristic, complemented
11C2×#19099262C211yesmaximal, characteristic, complemented
12C2×#19099256C211yesmaximal, characteristic, complemented
13C2×#19099249C211yesmaximal, characteristic, complemented
14C2×D4×Dic158C211yesmaximal, characteristic, complemented
15C2×#19099222C211yesmaximal, characteristic, complemented
16C2×#19099219C211yesmaximal, characteristic, complemented
17C2×#19099211C211yesmaximal, characteristic, complemented
18C2×#19099182C211yesmaximal, characteristic, complemented
19C2×#19099179C211yesmaximal, characteristic, complemented
20C2×#19099177C211yesmaximal, characteristic, complemented
21C2×#19099170C211yesmaximal, characteristic, complemented
22C2×#19099158C211yesmaximal, characteristic, complemented
23C2×#19099156C211yesmaximal, characteristic, complemented
24C2×#19099151C211yesmaximal, characteristic, complemented
25C2×#19099148C211yesmaximal, characteristic, complemented
26C2×#19099148C211yesmaximal, characteristic, complemented
27C2×#19099142C211yesmaximal, characteristic, complemented
28C2×#19099135C211yesmaximal, characteristic, complemented
29C2×#19099069C211yesmaximal, characteristic, complemented
30C2×#19099069C211yesmaximal, characteristic, complemented
31C22×#14579138C211yesmaximal, characteristic, complemented
32C2×#538×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic, complemented
34C22×#11929623C2211yescharacteristic
35C22×#11929623C2211yescharacteristic
36C23×Dic158C2211yescharacteristic
37C23×Dic158C2211yescharacteristic, complemented
38C24×Dic79C2211yescharacteristic
39#19099316C22116yescomplemented
40#19099315C22116yescomplemented
41#19099308C22116yescomplemented
42#19099307C22116yescomplemented
43#19099282C22116yescomplemented
44#19099272C22116yescomplemented
45#19099271C22116yescomplemented
46#19099267C22116yescomplemented
47#19099265C22116yescomplemented
48#19099262C22116yescomplemented
49#19099256C22116yescomplemented
50#19099249C22116yescomplemented
51D4×Dic158C22116yescomplemented
52#19099222C22116yescomplemented
53#19099219C22116yescomplemented
54#19099211C22116yescomplemented
55#19099182C22116yescomplemented
56#19099179C22116yescomplemented
57#19099177C22116yescomplemented
58#19099170C22116yescomplemented
59#19099158C22116yescomplemented
60#19099156C22116yescomplemented
61#19099151C22116yescomplemented
62#19099148C22116yescomplemented
63#19099148C22116yescomplemented
64#19099142C22116yescomplemented
65#19099135C22116yescomplemented
66C2×#14579161C2211yescharacteristic, complemented
67C2×#14579160C2211yescharacteristic, complemented
68C2×#14579160C2211yescharacteristic, complemented
69C2×#14579160C2211yescharacteristic, complemented
70C2×#14579160C2211yescharacteristic, complemented
71C2×#14579159C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579155C2211yescharacteristic, complemented
74C2×#14579154C2211yescharacteristic
75C2×#14579154C2211yescharacteristic
76C2×#14579154C2211yescharacteristic
77C2×#14579154C2211yescharacteristic
78C2×#14579154C2211yescharacteristic
79C2×#14579154C2211yescharacteristic
80C2×#14579154C2211yescharacteristic, complemented
81C2×#14579154C2211yescharacteristic, complemented
82C2×#14579154C2211yescharacteristic, complemented
83C2×#14579154C2211yescharacteristic, complemented
84C2×#14579153C2211yescharacteristic, complemented
85C2×#14579152C2211yescharacteristic, complemented
86C2×#14579152C2211yescharacteristic, complemented
87C2×#14579151C2211yescharacteristic, complemented
88C2×#14579151C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579151C2211yescharacteristic, complemented
91C2×#14579151C2211yescharacteristic, complemented
92C2×#14579151C2211yescharacteristic, complemented
93C2×#14579149C2211yescharacteristic, complemented
94C2×#14579148C2211yescharacteristic
95C2×#14579148C2211yescharacteristic
96C2×#14579147C2211yescharacteristic
97C2×#14579147C2211yescharacteristic
98C2×#14579147C2211yescharacteristic
99C2×#14579147C2211yescharacteristic
100C2×#14579147C2211yescharacteristic, complemented
101C2×#14579147C2211yescharacteristic, complemented
102#19099069C22116yescomplemented
103#19099069C22116yescomplemented
104C2×#14579146C2211yescharacteristic, complemented
105C2×#14579145C2211yescharacteristic
106C2×#14579145C2211yescharacteristic
107C2×#14579145C2211yescharacteristic, complemented
108C2×#14579145C2211yescharacteristic, complemented
109C2×#14579144C2211yescharacteristic, complemented
110C2×#14579143C2211yescharacteristic
111C2×#14579143C2211yescharacteristic
112C2×#14579143C2211yescharacteristic
113C2×#14579143C2211yescharacteristic
114C2×#14579143C2211yescharacteristic, complemented
115C2×#14579142C2211yescharacteristic
116C2×#14579142C2211yescharacteristic
117C2×#14579142C2211yescharacteristic
118C2×#14579142C2211yescharacteristic
119C2×#14579142C2211yescharacteristic, complemented
120C2×#14579141C2211yescharacteristic, complemented
121C2×#14579141C2211yescharacteristic, complemented
122C2×#14579140C2211yescharacteristic
123C2×#14579140C2211yescharacteristic, complemented
124C2×#14579140C2211yescharacteristic, complemented
125C2×#14579140C2211yescharacteristic, complemented
126C2×#14579139C2211yescharacteristic, complemented
127C2×#14579139C2211yescharacteristic, complemented
128C2×#14579139C2211yescharacteristic, complemented
129C2×#14579139C2211yescharacteristic, complemented
130C2×#14579138C2211yescharacteristic
131C2×#14579138C2211yescharacteristic
132C2×#14579138C2211yescharacteristic
133C2×#14579138C2211yescharacteristic
134C2×#14579138C2211yescharacteristic
135C2×#14579138C2211yescharacteristic
136C2×#14579138C2211yescharacteristic
137C2×#14579138C2211yescharacteristic
138C2×#14579138C2211yescharacteristic
139C2×#14579138C2211yescharacteristic
140C2×#14579138C2211yescharacteristic
141C2×#14579138C2211yescharacteristic
142C2×#14579138C2211yescharacteristic
143C2×#14579138C2211yescharacteristic
144C2×#14579138C22116yescomplemented
145C2×#14579138C2211yescharacteristic, complemented
146C2×#14579138C2211yescharacteristic, complemented
147C2×#14579138C2211yescharacteristic, complemented
148C2×#14579138C2211yescharacteristic, complemented
149C2×#14579137C2211yescharacteristic, complemented
150C2×#14579137C2211yescharacteristic, complemented
151C2×#14579135C2211yescharacteristic
152C2×#14579134C2211yescharacteristic
153C2×#14579134C2211yescharacteristic
154C2×#14579134C2211yescharacteristic, complemented
155C2×#14579133C2211yescharacteristic
156C2×#14579133C2211yescharacteristic
157C2×#14579133C2211yescharacteristic
158C2×#14579133C2211yescharacteristic
159C2×#14579133C2211yescharacteristic
160C2×#14579133C2211yescharacteristic
161C2×#14579133C2211yescharacteristic
162C2×#14579133C2211yescharacteristic
163C2×#14579133C2211yescharacteristic, complemented
164C2×#14579132C2211yescharacteristic
165C2×#14579132C2211yescharacteristic
166C2×#14579132C2211yescharacteristic, complemented
167C2×#14579130C2211yescharacteristic
168C2×#14579130C2211yescharacteristic
169C2×Q8×Dic79C2211yescharacteristic, complemented
170C2×C4×Dic158C2211yescharacteristic, complemented
171C2×C4×Dic158C2211yescharacteristic, complemented
172C2×C4×Dic158C2211yescharacteristic, complemented
173C2×#14579126C2211yescharacteristic, complemented
174C2×D4×Dic79C2211yescharacteristic
175C2×D4×Dic79C2211yescharacteristic
176C2×D4×Dic79C2211yescharacteristic
177C2×D4×Dic79C2211yescharacteristic
178C2×D4×Dic79C2211yescharacteristic
179C2×D4×Dic79C2211yescharacteristic
180C2×D4×Dic79C2211yescharacteristic, complemented
181C2×C4×C22⋊D79C2211yescharacteristic
182C2×C4×C22⋊D79C2211yescharacteristic
183C2×C4×C22⋊D79C2211yescharacteristic, complemented
184C2×(C22⋊D79)⋊C4C2211yescharacteristic
185C2×(C22⋊D79)⋊C4C2211yescharacteristic
186C2×(C22⋊D79)⋊C4C2211yescharacteristic
187C2×(C22⋊D79)⋊C4C2211yescharacteristic
188C2×(C22⋊D79)⋊C4C2211yescharacteristic
189C2×(C22⋊D79)⋊C4C2211yescharacteristic
190C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
191C2×#14579119C2211yescharacteristic, complemented
192C2×#14579118C2211yescharacteristic, complemented
193C2×#14579117C2211yescharacteristic
194C2×#14579117C2211yescharacteristic
195C2×#14579117C2211yescharacteristic, complemented
196C22×C4⋊Dic79C2211yescharacteristic
197C22×Dic79⋊C4C2211yescharacteristic
198C22×Dic79⋊C4C2211yescharacteristic
199C22×Dic79⋊C4C2211yescharacteristic, complemented
200C2×C4⋊C4×D79C2211yescharacteristic, complemented
201C2×C4⋊C4×D79C2211yescharacteristic, complemented
202C22×C22⋊Dic79C2211yescharacteristic
203#538×C79C22116yescomplemented
204C2×#126×C79C2211yescharacteristic
205C2×#126×C79C2211yescharacteristic
206C2×#124×C79C2211yescharacteristic
207C2×#124×C79C2211yescharacteristic
208C2×#123×C79C2211yescharacteristic
209C2×#123×C79C2211yescharacteristic
210C2×C22⋊Q8×C79C2211yescharacteristic
211C2×#121×C79C2211yescharacteristic
212C2×#121×C79C2211yescharacteristic
213C2×#121×C79C2211yescharacteristic
214C2×#120×C79C2211yescharacteristic
215C2×#120×C79C2211yescharacteristic
216C2×C4×D4×C79C2211yescharacteristic
217C2×C4×D4×C79C2211yescharacteristic
218C22×C22⋊C4×C79C2211yescharacteristic
219C2×#11929624—44no—
220C2×#11929624C2318yescomplemented
221C2×#11929623—44no—
222C2×#11929623—44no—
223C2×#11929623C2318yes—
224C2×#11929623C2318yes—
225C22×Dic158—44no—
226C22×Dic158—44no—
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2318yes—
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C22×Dic158C2311yescharacteristic
234C22×Dic158C2311yescharacteristic
235C22×Dic158C2311yescharacteristic
236C22×Dic158C2311yescharacteristic
237C22×Dic158C2318yescomplemented
238C22×D316C2311yescharacteristic
239C22×C22⋊D79C2311yescharacteristic
240C22×C22⋊D79C2311yescharacteristic
241C22×C22⋊D79C2311yescharacteristic
242C22×C22⋊D79C2311yescharacteristic
243C22×C22⋊D79C2311yescharacteristic
244C22×C22⋊D79C2311yescharacteristic
245C22×C22⋊D79C2311yescharacteristic
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C23×Dic79—44no—
250C23×Dic79C2311yescharacteristic
251C23×Dic79C2311yescharacteristic
252C23×Dic79C2311yescharacteristic
253C23×Dic79C2311yescharacteristic
254C23×Dic79C2311yescharacteristic
255C23×Dic79C2311yescharacteristic
256C23×Dic79C2311yescharacteristic
257C23×Dic79C2311yescharacteristic
258C23×Dic79C2311yescharacteristic
259C23×Dic79C2311yescharacteristic
260C23×Dic79C2311yescharacteristic
261C23×Dic79C2311yescharacteristic
262C23×Dic79C2318yes—
263C22×C4×D79C2311yescharacteristic
264C22×C4×D79C2311yescharacteristic
265C22×C4×D79C2311yescharacteristic
266C22×C4×D79C2311yescharacteristic
267C22×C4×D79C2311yescharacteristic
268C22×C4×D79C2311yescharacteristic
269#14579161C2318yescomplemented
270#14579160C2318yescomplemented
271#14579160C2318yescomplemented
272#14579160C2318yescomplemented
273#14579160C2318yescomplemented
274#14579159C2318yescomplemented
275#14579156C2318yescomplemented
276#14579155C2318yescomplemented
277#14579154C2318yes—
278#14579154C2318yes—
279#14579154C2318yes—
280#14579154C2318yes—
281#14579154C2318yes—
282#14579154C2318yes—
283#14579154C2318yescomplemented
284#14579154C2318yescomplemented
285#14579154C2318yescomplemented
286#14579154C2318yescomplemented
287#14579153C2318yescomplemented
288#14579152C2318yescomplemented
289#14579152C2318yescomplemented
290#14579151C2318yescomplemented
291#14579151C2318yescomplemented
292#14579151C2318yescomplemented
293#14579151C2318yescomplemented
294#14579151C2318yescomplemented
295#14579151C2318yescomplemented
296#14579149C2318yescomplemented
297#14579148C2318yes—
298#14579148C2318yes—
299#14579147C2318yes—
300#14579147C2318yes—
301#14579147C2318yes—
302#14579147C2318yes—
303#14579147C2318yescomplemented
304#14579147C2318yescomplemented
305#14579146C2318yescomplemented
306#14579145C2318yes—
307#14579145C2318yes—
308#14579145C2318yescomplemented
309#14579145C2318yescomplemented
310#14579144C2318yescomplemented
311#14579143C2318yes—
312#14579143C2318yes—
313#14579143C2318yes—
314#14579143C2318yes—
315#14579143C2318yescomplemented
316#14579142C2318yes—
317#14579142C2318yes—
318#14579142C2318yes—
319#14579142C2318yes—
320#14579142C2318yescomplemented
321#14579141C2318yescomplemented
322#14579141C2318yescomplemented
323#14579140C2318yes—
324#14579140C2318yescomplemented
325#14579140C2318yescomplemented
326#14579140C2318yescomplemented
327#14579139C2318yescomplemented
328#14579139C2318yescomplemented
329#14579139C2318yescomplemented
330#14579139C2318yescomplemented
331#14579138C2318yes—
332#14579138C2318yes—
333#14579138C2318yes—
334#14579138C2318yes—
335#14579138C2318yes—
336#14579138C2318yes—
337#14579138C2318yes—
338#14579138C2318yes—
339#14579138C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yes—
343#14579138C2318yes—
344#14579138C2318yes—
345#14579138C2318yescomplemented
346#14579138C2318yescomplemented
347#14579138C2318yescomplemented
348#14579138C2318yescomplemented
349#14579137C2318yescomplemented
350#14579137C2318yescomplemented
351#14579135C2318yes—
352#14579134C2318yes—
353#14579134C2318yes—
354#14579134C2318yescomplemented
355#14579133C2318yes—
356#14579133C2318yes—
357#14579133C2318yes—
358#14579133C2318yes—
359#14579133C2318yes—
360#14579133C2318yes—
361#14579133C2318yes—
362#14579133C2318yes—
363#14579133C2318yescomplemented
364#14579132C2318yes—
365#14579132C2318yes—
366#14579132C2318yescomplemented
367#14579130C2318yes—
368#14579130C2318yes—
369Q8×Dic79C2318yescomplemented
370C4×Dic158C2318yescomplemented
371C4×Dic158C2318yescomplemented
372C4×Dic158C2318yescomplemented
373#14579126C2318yescomplemented
374D4×Dic79C2318yes—
375D4×Dic79C2318yes—
376D4×Dic79C2318yes—
377D4×Dic79C2318yes—
378D4×Dic79C2318yes—
379D4×Dic79C2318yes—
380D4×Dic79C2318yescomplemented
381C4×C22⋊D79C2318yes—
382C4×C22⋊D79C2318yes—
383C4×C22⋊D79C2318yescomplemented
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yes—
386(C22⋊D79)⋊C4C2318yes—
387(C22⋊D79)⋊C4C2318yes—
388(C22⋊D79)⋊C4C2318yes—
389(C22⋊D79)⋊C4C2318yes—
390(C22⋊D79)⋊C4C2318yescomplemented
391#14579119C2318yescomplemented
392#14579118C2318yescomplemented
393#14579117C2318yes—
394#14579117C2318yes—
395#14579117C2318yescomplemented
396C2×C4⋊Dic79C2318yes—
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×C4⋊Dic79C2311yescharacteristic
401C2×C4⋊Dic79C2311yescharacteristic
402C2×C4⋊Dic79C2311yescharacteristic
403C2×C4⋊Dic79C2311yescharacteristic
404C2×C4⋊Dic79C2311yescharacteristic
405C2×C4⋊Dic79C2311yescharacteristic
406C2×C4⋊Dic79C2311yescharacteristic
407C2×C4⋊Dic79C2311yescharacteristic
408C2×C4⋊Dic79C2311yescharacteristic
409C2×C4⋊Dic79C2311yescharacteristic
410C2×C4⋊Dic79C2311yescharacteristic
411C2×Dic79⋊C4C2318yes—
412C2×Dic79⋊C4C2318yes—
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2311yescharacteristic
427C2×Dic79⋊C4C2311yescharacteristic
428C2×Dic79⋊C4C2311yescharacteristic
429C2×Dic79⋊C4C2311yescharacteristic
430C2×Dic79⋊C4C2311yescharacteristic
431C2×Dic79⋊C4C2311yescharacteristic
432C2×Dic79⋊C4C2311yescharacteristic
433C2×Dic79⋊C4C2311yescharacteristic
434C2×Dic79⋊C4C2311yescharacteristic
435C2×Dic79⋊C4C2311yescharacteristic
436C2×Dic79⋊C4C2311yescharacteristic
437C2×Dic79⋊C4C2311yescharacteristic
438C2×Dic79⋊C4C2311yescharacteristic
439C2×Dic79⋊C4C2311yescharacteristic
440C2×Dic79⋊C4C2311yescharacteristic
441C2×Dic79⋊C4C2318yescomplemented
442C4⋊C4×D79C2318yescomplemented
443C4⋊C4×D79C2318yescomplemented
444C2×C22⋊Dic79C2318yes—
445C2×C22⋊Dic79C2311yescharacteristic
446C2×C22⋊Dic79C2311yescharacteristic
447C2×C22⋊Dic79C2311yescharacteristic
448C2×C22⋊Dic79C2311yescharacteristic
449C2×C22⋊Dic79C2311yescharacteristic
450C2×C22⋊Dic79C2311yescharacteristic
451C2×C22⋊Dic79C2311yescharacteristic
452C2×C22⋊Dic79C2311yescharacteristic
453C2×C22⋊Dic79C2311yescharacteristic
454C2×C22⋊Dic79C2311yescharacteristic
455C2×C22⋊Dic79C2311yescharacteristic
456C2×C22⋊Dic79C2311yescharacteristic
457C2×C22⋊Dic79C2311yescharacteristic
458C2×C22⋊Dic79C2311yescharacteristic
459C2×C22⋊Dic79C2311yescharacteristic
460C2×C22⋊Dic79C2311yescharacteristic
461C2×C22⋊Dic79C2311yescharacteristic
462C2×C22⋊Dic79C2311yescharacteristic
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
474C2×(C2×D79)⋊C4C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C2×C4×Dic79C2311yescharacteristic
479C2×C4×Dic79C2311yescharacteristic
480C2×C4×Dic79C2311yescharacteristic
481C2×C4×Dic79C2311yescharacteristic
482C2×C4×Dic79C2311yescharacteristic
483C2×C4×Dic79C2311yescharacteristic
484C2×C4×Dic79C2311yescharacteristic
485C25×C79C2311yescharacteristic
486C22×Q8×C79C2311yescharacteristic
487C22×D4×C79C2311yescharacteristic
488C22×D4×C79C2311yescharacteristic
489C22×D4×C79C2311yescharacteristic
490C22×D4×C79C2311yescharacteristic
491C22×D4×C79C2311yescharacteristic
492C22×D4×C79C2311yescharacteristic
493C22×D4×C79C2311yescharacteristic
494C23×C4×C79C2311yescharacteristic
495C23×C4×C79C2311yescharacteristic
496C23×C4×C79C2311yescharacteristic
497C23×C4×C79C2311yescharacteristic
498#126×C79C2318yes—
499#126×C79C2318yes—
500#124×C79C2318yes—
501#124×C79C2318yes—
502#123×C79C2318yes—
503#123×C79C2318yes—
504C22⋊Q8×C79C2318yes—
505#121×C79C2318yes—
506#121×C79C2318yes—
507#121×C79C2318yes—
508#120×C79C2318yes—
509#120×C79C2318yes—
510C4×D4×C79C2318yes—
511C4×D4×C79C2318yes—
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×C22⋊C4×C79C2318yes—
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×C22⋊C4×C79C2311yescharacteristic
532C2×C22⋊C4×C79C2311yescharacteristic
533C2×C42×C79C2311yescharacteristic
534C2×C42×C79C2311yescharacteristic
535C23×D79C2411yescharacteristic
536C23×D79C2411yescharacteristic
537#11929624—416no—
538#11929623—416no—
539#11929623—416no—
540C2×Dic158—24no—
541C2×Dic158—24no—
542C2×Dic158—24no—
543C2×Dic158—42no—
544C2×Dic158—42no—
545C2×Dic158—42no—
546C2×Dic158—42no—
547C2×Dic158—42no—
548C2×Dic158—42no—
549C2×Dic158—416no—
550C2×Dic158—416no—
551C2×Dic158C2414yes—
552C2×Dic158C2414yes—
553C2×Dic158C2414yes—
554C2×Dic158C2414yes—
555C2×Dic158C2414yes—
556C2×Dic158C2414yes—
557C2×Dic158C2414yes—
558C2×Dic158C2414yes—
559C2×Dic158C2414yes—
560C2×D316—42no—
561C2×D316C2414yes—
562C2×C22⋊D79—24no—
563C2×C22⋊D79—24no—
564C2×C22⋊D79—24no—
565C2×C22⋊D79—42no—
566C2×C22⋊D79—42no—
567C2×C22⋊D79—42no—
568C2×C22⋊D79—42no—
569C2×C22⋊D79—42no—
570C2×C22⋊D79—42no—
571C2×C22⋊D79—42no—
572C2×C22⋊D79C2414yes—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2414yes—
575C2×C22⋊D79C2414yes—
576C2×C22⋊D79C2414yes—
577C2×C22⋊D79C2414yes—
578C2×C22⋊D79C2414yes—
579C2×C22⋊D79C2414yes—
580C2×C22⋊D79C2414yes—
581C2×C22⋊D79C2414yes—
582C22×Dic79—24no—
583C22×Dic79—24no—
584C22×Dic79—24no—
585C22×Dic79—24no—
586C22×Dic79—42no—
587C22×Dic79—42no—
588C22×Dic79—42no—
589C22×Dic79—42no—
590C22×Dic79—42no—
591C22×Dic79—42no—
592C22×Dic79—42no—
593C22×Dic79—42no—
594C22×Dic79—416no—
595C22×Dic79C2411yescharacteristic
596C22×Dic79C2411yescharacteristic
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2411yescharacteristic
600C22×Dic79C2414yes—
601C22×Dic79C2411yescharacteristic
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2411yescharacteristic
604C22×Dic79C2414yes—
605C22×Dic79C2414yes—
606C22×Dic79C2414yes—
607C22×Dic79C2411yescharacteristic
608C22×Dic79C2411yescharacteristic
609C22×Dic79C2411yescharacteristic
610C22×Dic79C2411yescharacteristic
611C22×Dic79C2411yescharacteristic
612C22×Dic79C2414yes—
613C22×Dic79C2414yes—
614C22×Dic79C2414yes—
615C22×Dic79C2414yes—
616C22×Dic79C2414yes—
617C22×Dic79C2414yes—
618C22×Dic79C2414yes—
619C22×Dic79C2414yes—
620C22×Dic79C2411yescharacteristic
621C2×C4×D79—24no—
622C2×C4×D79—42no—
623C2×C4×D79—42no—
624C2×C4×D79—42no—
625C2×C4×D79—42no—
626C2×C4×D79—42no—
627C2×C4×D79C2414yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2414yes—
630C2×C4×D79C2414yes—
631C2×C4×D79C2414yes—
632C2×C4×D79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2414yes—
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—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675C22⋊Dic79C2414yes—
676C22⋊Dic79C2414yes—
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2414yes—
682C22⋊Dic79C2414yes—
683C22⋊Dic79C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691C22⋊Dic79C2414yes—
692C22⋊Dic79C2414yes—
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—
705C4×Dic79C2414yes—
706C4×Dic79C2414yes—
707C4×Dic79C2414yes—
708C4×Dic79C2414yes—
709C4×Dic79C2414yes—
710C4×Dic79C2414yes—
711C4×Dic79C2414yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C24×C79—24no—
716C24×C79—42no—
717C24×C79—42no—
718C24×C79C2411yescharacteristic
719C24×C79C2411yescharacteristic
720C24×C79C2411yescharacteristic
721C24×C79C2411yescharacteristic
722C24×C79C2411yescharacteristic
723C24×C79C2414yes—
724C2×Q8×C79—42no—
725C2×Q8×C79C2414yes—
726C2×D4×C79—24no—
727C2×D4×C79—24no—
728C2×D4×C79—42no—
729C2×D4×C79—42no—
730C2×D4×C79—42no—
731C2×D4×C79—42no—
732C2×D4×C79—42no—
733C2×D4×C79C2414yes—
734C2×D4×C79C2414yes—
735C2×D4×C79C2414yes—
736C2×D4×C79C2414yes—
737C2×D4×C79C2414yes—
738C2×D4×C79C2414yes—
739C2×D4×C79C2414yes—
740C22×C4×C79—42no—
741C22×C4×C79—42no—
742C22×C4×C79—42no—
743C22×C4×C79—42no—
744C22×C4×C79C2411yescharacteristic
745C22×C4×C79C2411yescharacteristic
746C22×C4×C79C2411yescharacteristic
747C22×C4×C79C2411yescharacteristic
748C22×C4×C79C2411yescharacteristic
749C22×C4×C79C2411yescharacteristic
750C22×C4×C79C2411yescharacteristic
751C22×C4×C79C2411yescharacteristic
752C22×C4×C79C2411yescharacteristic
753C22×C4×C79C2411yescharacteristic
754C22×C4×C79C2414yes—
755C22×C4×C79C2414yes—
756C22×C4×C79C2414yes—
757C22×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—
776C22⋊C4×C79C2414yes—
777C22⋊C4×C79C2414yes—
778C42×C79C2414yes—
779C42×C79C2414yes—
780C23×C79—22no—
781C23×C79—22no—
782C23×C79—22no—
783C23×C79—22no—
784C23×C79—22no—
785C23×C79—22no—
786C23×C79—22no—
787C23×C79—22no—
788C23×C79—28no—
789C23×C79—22no—
790C23×C79—22no—
791C23×C79—22no—
792C23×C79—22no—
793C23×C79—22no—
794C23×C79—22no—
795C23×C79—44no—
796C23×C79—44no—
797C23×C79—416no—
798C23×C792−1+414yes—
799C23×C79C2512yes—
800C23×C79C2512yes—
801C23×C79C2512yes—
802C23×C79C2512yes—
803C23×C79C2512yes—
804C23×C79C2511yescharacteristic
805C22×D79—22no—
806C22×D79—22no—
807C22×D79—22no—
808C22×D79—22no—
809C22×D79—22no—
810C22×D79—22no—
811C22×D79C2512yes—
812C22×D79C2512yes—
813Q8×C79—44no—
814D4×C79—28no—
815D4×C79—28no—
816D4×C79—44no—
817D4×C79—44no—
818D4×C79—44no—
819D4×C79—44no—
820D4×C79—44no—
821C2×C4×C79—22no—
822C2×C4×C79—22no—
823C2×C4×C79—22no—
824C2×C4×C79—22no—
825C2×C4×C79—22no—
826C2×C4×C79—22no—
827C2×C4×C79—22no—
828C2×C4×C79—22no—
829C2×C4×C79—22no—
830C2×C4×C79—22no—
831C2×C4×C79—44no—
832C2×C4×C79—44no—
833C2×C4×C79—44no—
834C2×C4×C79—44no—
835C2×C4×C79C2512yes—
836C2×C4×C79C2512yes—
837C2×C4×C79C2512yes—
838C2×C4×C79C2512yes—
839C2×C4×C79C2512yes—
840C2×C4×C79C2512yes—
841C2×C4×C79C2512yes—
842C2×C4×C79C2512yes—
843C2×C4×C79C2512yes—
844C2×C4×C79C2512yes—
845C22⋊D79—28no—
846C22⋊D79—28no—
847C22⋊D79—28no—
848C22⋊D79—44no—
849C22⋊D79—44no—
850C22⋊D79—44no—
851C22⋊D79—44no—
852C22⋊D79—44no—
853C22⋊D79—44no—
854C22⋊D79—44no—
855C2×Dic79—22no—
856C2×Dic79—22no—
857C2×Dic79—22no—
858C2×Dic79—22no—
859C2×Dic79—22no—
860C2×Dic79—22no—
861C2×Dic79—22no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—22no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—22no—
868C2×Dic79—28no—
869C2×Dic79—28no—
870C2×Dic79—28no—
871C2×Dic79—28no—
872C2×Dic79—44no—
873C2×Dic79—44no—
874C2×Dic79—44no—
875C2×Dic79—44no—
876C2×Dic79—44no—
877C2×Dic79—44no—
878C2×Dic79—44no—
879C2×Dic79—44no—
880C2×Dic79H(5,𝔽2)14yes—
881C2×Dic79C2512yes—
882C2×Dic79C2512yes—
883C2×Dic79C2512yes—
884C2×Dic79C2512yes—
885C2×Dic79C2512yes—
886C2×Dic79C2512yes—
887C2×Dic79C2512yes—
888C2×Dic79C2512yes—
889C2×Dic79C2512yes—
890C2×Dic79C2512yes—
891C2×Dic79C2512yes—
892C2×Dic79C2512yes—
893C2×Dic79C2512yes—
894C2×Dic79C2512yes—
895D316—44no—
896C4×D79—28no—
897C4×D79—44no—
898C4×D79—44no—
899C4×D79—44no—
900C4×D79—44no—
901C4×D79—44no—
902Dic158—28no—
903Dic158—28no—
904Dic158—28no—
905Dic158—44no—
906Dic158—44no—
907Dic158—44no—
908Dic158—44no—
909Dic158—44no—
910Dic158—44no—
911C22×C79—22no—
912C22×C79—22no—
913C22×C79—28no—
914C22×C79—22no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—22no—
919C22×C79—22no—
920C22×C79—22no—
921C22×C79—22no—
922C22×C79—22no—
923C22×C79—22no—
924C22×C79—22no—
925C22×C79—22no—
926C22×C79—416no—
927C22×C79—44no—
928C22×C79—44no—
929C22×C79—44no—
930C22×C79—44no—
931C22×C79C2×H(5,𝔽2)12yes—
932C22×C79C2×2−1+414yes—
933C22×C79C2×2−1+412yes—
934C22×C79#58512yes—
935C22×C79C2611yescharacteristic
936C2×D79—22no—
937C2×D79—22no—
938C2×D79—22no—
939C2×D79—22no—
940C2×D79—22no—
941C2×D79—22no—
942C2×D79—44no—
943C2×D79—44no—
944C4×C79—22no—
945C4×C79—22no—
946C4×C79—22no—
947C4×C79—22no—
948C4×C79—22no—
949C4×C79—22no—
950C4×C79—22no—
951C4×C79—22no—
952C4×C79—22no—
953C4×C79—22no—
954Dic79—22no—
955Dic79—22no—
956Dic79—22no—
957Dic79—22no—
958Dic79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79C2×H(5,𝔽2)14yes—
968C2×#3541—791nomaximal, Sylow
969C2×C79—24no—
970C2×C79—42no—
971C2×C79—42no—
972C2×C79—42no—
973C2×C79—42no—
974C2×C79#354114yescomplemented
975C2×C79C22×H(5,𝔽2)11yescharacteristic
976C2×C79C22×2−1+411yescharacteristic
977C2×C79C2×#58511yescharacteristic
978D79—42no—
979D79—42no—
980#3541—7932no—
981C2×#563—791no—
982C2×#563—791no—
983C2×#562—791no—
984C2×#562—791no—
985C2×#556—791no—
986C2×#554—791no—
987C2×#554—791no—
988C2×#554—791no—
989C2×#553—791no—
990C2×#553—791no—
991C2×#553—791no—
992C2×#552—791no—
993C2×D4×Q8—791no—
994C2×#548—791no—
995C2×#548—791no—
996C2×#547—791no—
997C2×#542—791no—
998C2×#542—791no—
999C2×#542—791no—
1000C2×#541—791no—
1001C2×#539—791no—
1002C2×#539—791no—
1003C2×#538—791no—
1004C2×#538—791no—
1005C2×#538—791no—
1006C2×#538D7911yescharacteristic, complemented
1007C2×#537—791no—
1008C2×#536—791no—
1009C2×#525—791no—
1010C2×#525—791no—
1011C22×C22⋊Q8—791no—
1012C79C2×#354111yescharacteristic, complemented, Sylow
1013C22×#41—791no—
1014C22×#41—791no—
1015C22×#41—791no—
1016C23×Q8—791no—
1017C23×Q8—791no—
1018C24×C4—791no—
1019#563—7916no—
1020#563—7916no—
1021#562—7916no—
1022#562—7916no—
1023#556—7916no—
1024#554—7916no—
1025#554—7916no—
1026#554—7916no—
1027#553—7916no—
1028#553—7916no—
1029#553—7916no—
1030#552—7916no—
1031D4×Q8—7916no—
1032#548—7916no—
1033#548—7916no—
1034#547—7916no—
1035#542—7916no—
1036#542—7916no—
1037#542—7916no—
1038#541—7916no—
1039#539—7916no—
1040#539—7916no—
1041#538—7916no—
1042#538—7916no—
1043#538—7916no—
1044#538C2×D79116yescomplemented
1045#537—7916no—
1046#536—7916no—
1047C2×C4⋊Q8—791no—
1048C2×C4⋊Q8—791no—
1049C2×C4⋊Q8—791no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×#126—791no—
1054C2×#126—791no—
1055C2×#126—791no—
1056C2×#126—791no—
1057C2×#126—791no—
1058C2×#126—791no—
1059C2×#126—791no—
1060C2×#126—791no—
1061C2×#126—791no—
1062C2×#126—791no—
1063C2×#126—791no—
1064C2×#126—791no—
1065C2×#126C2×D7911yescharacteristic
1066C2×#126C2×D7911yescharacteristic
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×#125—791no—
1076C2×#124—791no—
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—791no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124—791no—
1084C2×#124—791no—
1085C2×#124C2×D7911yescharacteristic
1086C2×#124C2×D7911yescharacteristic
1087#525—7916no—
1088#525—7916no—
1089C2×#123—791no—
1090C2×#123—791no—
1091C2×#123—791no—
1092C2×#123—791no—
1093C2×#123—791no—
1094C2×#123—791no—
1095C2×#123—791no—
1096C2×#123—791no—
1097C2×#123—791no—
1098C2×#123—791no—
1099C2×#123—791no—
1100C2×#123—791no—
1101C2×#123—791no—
1102C2×#123—791no—
1103C2×#123—791no—
1104C2×#123—791no—
1105C2×#123C2×D7911yescharacteristic
1106C2×#123C2×D7911yescharacteristic
1107C2×C22⋊Q8—791no—
1108C2×C22⋊Q8—791no—
1109C2×C22⋊Q8—791no—
1110C2×C22⋊Q8—791no—
1111C2×C22⋊Q8—791no—
1112C2×C22⋊Q8—791no—
1113C2×C22⋊Q8—791no—
1114C2×C22⋊Q8—791no—
1115C2×C22⋊Q8—791no—
1116C2×C22⋊Q8—791no—
1117C2×C22⋊Q8—791no—
1118C2×C22⋊Q8—791no—
1119C2×C22⋊Q8—791no—
1120C2×C22⋊Q8—791no—
1121C2×C22⋊Q8—791no—
1122C2×C22⋊Q8—791no—
1123C2×C22⋊Q8—791no—
1124C2×C22⋊Q8—791no—
1125C2×C22⋊Q8—791no—
1126C2×C22⋊Q8—791no—
1127C2×C22⋊Q8—7916no—
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⋊Q8C2×D7911yescharacteristic
1139C2×#121—791no—
1140C2×#121—791no—
1141C2×#121—791no—
1142C2×#121—791no—
1143C2×#121—791no—
1144C2×#121—791no—
1145C2×#121—791no—
1146C2×#121—791no—
1147C2×#121—791no—
1148C2×#121—791no—
1149C2×#121—791no—
1150C2×#121—791no—
1151C2×#121—791no—
1152C2×#121—791no—
1153C2×#121—791no—
1154C2×#121—791no—
1155C2×#121C2×D7911yescharacteristic
1156C2×#121C2×D7911yescharacteristic
1157C2×#121C2×D7911yescharacteristic
1158C2×#120—791no—
1159C2×#120—791no—
1160C2×#120C2×D7911yescharacteristic
1161C2×#120C2×D7911yescharacteristic
1162C2×C4×Q8—791no—
1163C2×C4×Q8—791no—
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×Q8—791no—
1167C2×C4×D4—791no—
1168C2×C4×D4—791no—
1169C2×C4×D4—791no—
1170C2×C4×D4—791no—
1171C2×C4×D4—791no—
1172C2×C4×D4—791no—
1173C2×C4×D4—791no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—791no—
1177C2×C4×D4—791no—
1178C2×C4×D4—791no—
1179C2×C4×D4—791no—
1180C2×C4×D4—791no—
1181C2×C4×D4—791no—
1182C2×C4×D4—791no—
1183C2×C4×D4—791no—
1184C2×C4×D4C2×D7911yescharacteristic
1185C2×C4×D4C2×D7911yescharacteristic
1186C2×#117—791no—
1187C2×#117—791no—
1188C2×#117—791no—
1189C2×#117—791no—
1190C2×#117—791no—
1191C22×C4⋊C4—791no—
1192C22×C4⋊C4—791no—
1193C22×C4⋊C4—791no—
1194C22×C4⋊C4—791no—
1195C22×C4⋊C4—791no—
1196C22×C4⋊C4—791no—
1197C22×C22⋊C4—791no—
1198C22×C22⋊C4C2×D7911yescharacteristic
1199C25C22×D7911yescharacteristic
1200C2×#41—3164no—
1201C2×#41—3164no—
1202C2×#41—3164no—
1203C2×#41—798no—
1204C2×#41—798no—
1205C2×#41—798no—
1206C22×Q8—3164no—
1207C22×Q8—3164no—
1208C22×Q8—791no—
1209C22×Q8—791no—
1210C22×Q8—791no—
1211C22×Q8—791no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8—798no—
1215C22×Q8—798no—
1216C22×Q8—791no—
1217C22×Q8—791no—
1218C22×Q8—791no—
1219C22×Q8C22×D7911yescharacteristic
1220C22×D4—791no—
1221C22×D4—791no—
1222C22×D4—791no—
1223C22×D4—791no—
1224C22×D4—791no—
1225C22×D4—791no—
1226C22×D4—791no—
1227C22×D4—791no—
1228C22×D4—791no—
1229C22×D4—791no—
1230C22×D4—791no—
1231C22×D4C22×D7911yescharacteristic
1232C22×D4C22×D7911yescharacteristic
1233C22×D4C22×D7911yescharacteristic
1234C22×D4C22×D7911yescharacteristic
1235C22×D4C22×D7911yescharacteristic
1236C22×D4C22×D7911yescharacteristic
1237C22×D4C22×D7911yescharacteristic
1238C23×C4—3164no—
1239C23×C4—791no—
1240C23×C4—791no—
1241C23×C4—791no—
1242C23×C4—791no—
1243C23×C4—791no—
1244C23×C4—791no—
1245C23×C4—791no—
1246C23×C4—791no—
1247C23×C4—798no—
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×C4C22×D7911yescharacteristic
1259C23×C4C22×D7911yescharacteristic
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8—798no—
1267C4⋊Q8—798no—
1268#126—798no—
1269#126—798no—
1270#126—798no—
1271#126—798no—
1272#126—798no—
1273#126—798no—
1274#126—798no—
1275#126—798no—
1276#126—798no—
1277#126—798no—
1278#126—798no—
1279#126—798no—
1280#126C22×D7918yes—
1281#126C22×D7918yes—
1282#125—798no—
1283#125—798no—
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#125—798no—
1288#125—798no—
1289#125—798no—
1290#125—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#124C22×D7918yes—
1301#124C22×D7918yes—
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#123C22×D7918yes—
1319#123C22×D7918yes—
1320C22⋊Q8—798no—
1321C22⋊Q8—798no—
1322C22⋊Q8—798no—
1323C22⋊Q8—798no—
1324C22⋊Q8—798no—
1325C22⋊Q8—798no—
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8—798no—
1342C22⋊Q8—798no—
1343C22⋊Q8—798no—
1344C22⋊Q8—798no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8C22×D7918yes—
1351#121—798no—
1352#121—798no—
1353#121—798no—
1354#121—798no—
1355#121—798no—
1356#121—798no—
1357#121—798no—
1358#121—798no—
1359#121—798no—
1360#121—798no—
1361#121—798no—
1362#121—798no—
1363#121—798no—
1364#121—798no—
1365#121—798no—
1366#121—798no—
1367#121C22×D7918yes—
1368#121C22×D7918yes—
1369#121C22×D7918yes—
1370#120—798no—
1371#120—798no—
1372#120C22×D7918yes—
1373#120C22×D7918yes—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×Q8—798no—
1377C4×Q8—798no—
1378C4×Q8—798no—
1379C4×D4—798no—
1380C4×D4—798no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—798no—
1385C4×D4—798no—
1386C4×D4—798no—
1387C4×D4—798no—
1388C4×D4—798no—
1389C4×D4—798no—
1390C4×D4—798no—
1391C4×D4—798no—
1392C4×D4—798no—
1393C4×D4—798no—
1394C4×D4—798no—
1395C4×D4—798no—
1396C4×D4C22×D7918yes—
1397C4×D4C22×D7918yes—
1398#117—798no—
1399#117—798no—
1400#117—798no—
1401#117—798no—
1402#117—798no—
1403C2×C4⋊C4—791no—
1404C2×C4⋊C4—791no—
1405C2×C4⋊C4—791no—
1406C2×C4⋊C4—791no—
1407C2×C4⋊C4—791no—
1408C2×C4⋊C4—791no—
1409C2×C4⋊C4—791no—
1410C2×C4⋊C4—791no—
1411C2×C4⋊C4—791no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—791no—
1414C2×C4⋊C4—791no—
1415C2×C4⋊C4—791no—
1416C2×C4⋊C4—791no—
1417C2×C4⋊C4—791no—
1418C2×C4⋊C4—791no—
1419C2×C4⋊C4—791no—
1420C2×C4⋊C4—791no—
1421C2×C4⋊C4—798no—
1422C2×C4⋊C4—798no—
1423C2×C4⋊C4—798no—
1424C2×C4⋊C4—798no—
1425C2×C4⋊C4—791no—
1426C2×C4⋊C4—791no—
1427C2×C4⋊C4—791no—
1428C2×C4⋊C4—791no—
1429C2×C4⋊C4—791no—
1430C2×C4⋊C4—791no—
1431C2×C4⋊C4—791no—
1432C2×C4⋊C4—791no—
1433C2×C4⋊C4—791no—
1434C2×C4⋊C4—791no—
1435C2×C4⋊C4—791no—
1436C2×C4⋊C4—791no—
1437C2×C4⋊C4—791no—
1438C2×C4⋊C4—791no—
1439C2×C4⋊C4—791no—
1440C2×C4⋊C4—791no—
1441C2×C4⋊C4—791no—
1442C2×C4⋊C4—791no—
1443C2×C4⋊C4—791no—
1444C2×C4⋊C4—791no—
1445C2×C4⋊C4—791no—
1446C2×C4⋊C4—791no—
1447C2×C4⋊C4—791no—
1448C2×C4⋊C4—791no—
1449C2×C4⋊C4—798no—
1450C2×C4⋊C4—798no—
1451C2×C4⋊C4C22×D7911yescharacteristic
1452C2×C4⋊C4C22×D7911yescharacteristic
1453C2×C4⋊C4C22×D7911yescharacteristic
1454C2×C4⋊C4C22×D7911yescharacteristic
1455C2×C4⋊C4C22×D7911yescharacteristic
1456C2×C4⋊C4C22×D7911yescharacteristic
1457C2×C22⋊C4—791no—
1458C2×C22⋊C4—791no—
1459C2×C22⋊C4—791no—
1460C2×C22⋊C4—791no—
1461C2×C22⋊C4—798no—
1462C2×C22⋊C4—791no—
1463C2×C22⋊C4—791no—
1464C2×C22⋊C4—791no—
1465C2×C22⋊C4—791no—
1466C2×C22⋊C4—791no—
1467C2×C22⋊C4—791no—
1468C2×C22⋊C4—791no—
1469C2×C22⋊C4—791no—
1470C2×C22⋊C4—791no—
1471C2×C22⋊C4—791no—
1472C2×C22⋊C4—791no—
1473C2×C22⋊C4—791no—
1474C2×C22⋊C4—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—791no—
1478C2×C22⋊C4—791no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—791no—
1481C2×C22⋊C4—791no—
1482C2×C22⋊C4—791no—
1483C2×C22⋊C4—791no—
1484C2×C22⋊C4—791no—
1485C2×C22⋊C4—791no—
1486C2×C22⋊C4—791no—
1487C2×C22⋊C4—791no—
1488C2×C22⋊C4C22×D7911yescharacteristic
1489C2×C22⋊C4C22×D7911yescharacteristic
1490C2×C22⋊C4C22×D7911yescharacteristic
1491C2×C22⋊C4C22×D7911yescharacteristic
1492C2×C22⋊C4C22×D7918yes—
1493C2×C22⋊C4C22×D7911yescharacteristic
1494C2×C22⋊C4C22×D7911yescharacteristic
1495C2×C22⋊C4C22×D7911yescharacteristic
1496C2×C22⋊C4C22×D7911yescharacteristic
1497C2×C22⋊C4C22×D7911yescharacteristic
1498C2×C22⋊C4C22×D7911yescharacteristic
1499C2×C22⋊C4C22×D7911yescharacteristic
1500C2×C22⋊C4C22×D7911yescharacteristic
1501C2×C22⋊C4C22×D7911yescharacteristic
1502C2×C22⋊C4C22×D7911yescharacteristic
1503C2×C42—791no—
1504C2×C42—791no—
1505C2×C42—791no—
1506C2×C42—791no—
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42C22×D7911yescharacteristic
1514C2×C42C22×D7911yescharacteristic
1515C24—24no—
1516C24—42no—
1517C24—42no—
1518C24—791no—
1519C24—791no—
1520C24C23×D7911yescharacteristic
1521C24C23×D7911yescharacteristic
1522C24C23×D7911yescharacteristic
1523C24C23×D7911yescharacteristic
1524C24C23×D7911yescharacteristic
1525C24C23×D7914yes—
1526#41—31616no—
1527#41—31616no—
1528#41—31616no—
1529C2×Q8—42no—
1530C2×Q8—3162no—
1531C2×Q8—3162no—
1532C2×Q8—3162no—
1533C2×Q8—3162no—
1534C2×Q8—3162no—
1535C2×Q8—3162no—
1536C2×Q8—31616no—
1537C2×Q8—31616no—
1538C2×Q8—794no—
1539C2×Q8—794no—
1540C2×Q8—794no—
1541C2×Q8—794no—
1542C2×Q8—794no—
1543C2×Q8—794no—
1544C2×Q8—794no—
1545C2×Q8—794no—
1546C2×Q8—794no—
1547C2×Q8—1584no—
1548C2×Q8—1584no—
1549C2×Q8—1584no—
1550C2×Q8C23×D7914yes—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—3162no—
1559C2×D4—3162no—
1560C2×D4—3162no—
1561C2×D4—3162no—
1562C2×D4—3162no—
1563C2×D4—3162no—
1564C2×D4—3162no—
1565C2×D4—3162no—
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—1584no—
1578C2×D4—1584no—
1579C2×D4—1584no—
1580C2×D4C23×D7914yes—
1581C2×D4C23×D7914yes—
1582C2×D4C23×D7914yes—
1583C2×D4C23×D7914yes—
1584C2×D4C23×D7914yes—
1585C2×D4C23×D7914yes—
1586C2×D4C23×D7914yes—
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—3162no—
1603C22×C4—3162no—
1604C22×C4—31616no—
1605C22×C4—794no—
1606C22×C4—794no—
1607C22×C4—794no—
1608C22×C4—794no—
1609C22×C4—794no—
1610C22×C4—794no—
1611C22×C4—794no—
1612C22×C4—794no—
1613C22×C4—794no—
1614C22×C4—794no—
1615C22×C4—794no—
1616C22×C4—794no—
1617C22×C4—794no—
1618C22×C4—791no—
1619C22×C4—794no—
1620C22×C4—794no—
1621C22×C4—794no—
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—791no—
1635C22×C4—791no—
1636C22×C4—794no—
1637C22×C4—1584no—
1638C22×C4—1584no—
1639C22×C4—1584no—
1640C22×C4—1584no—
1641C22×C4—1584no—
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×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⋊C4—794no—
1691C4⋊C4—794no—
1692C4⋊C4—794no—
1693C4⋊C4—794no—
1694C4⋊C4—794no—
1695C4⋊C4—794no—
1696C4⋊C4—794no—
1697C4⋊C4—794no—
1698C4⋊C4C23×D7914yes—
1699C4⋊C4C23×D7914yes—
1700C4⋊C4C23×D7914yes—
1701C4⋊C4C23×D7914yes—
1702C4⋊C4C23×D7914yes—
1703C4⋊C4C23×D7914yes—
1704C22⋊C4—794no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4—794no—
1714C22⋊C4—794no—
1715C22⋊C4—794no—
1716C22⋊C4—794no—
1717C22⋊C4—794no—
1718C22⋊C4—794no—
1719C22⋊C4—794no—
1720C22⋊C4—794no—
1721C22⋊C4—794no—
1722C22⋊C4—794no—
1723C22⋊C4—794no—
1724C22⋊C4—794no—
1725C22⋊C4—794no—
1726C22⋊C4—794no—
1727C22⋊C4—794no—
1728C22⋊C4—794no—
1729C22⋊C4—794no—
1730C22⋊C4—794no—
1731C22⋊C4—794no—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4C23×D7914yes—
1735C22⋊C4C23×D7914yes—
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—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—28no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—22no—
1775C23—44no—
1776C23—44no—
1777C23—416no—
1778C23—792no—
1779C23—792no—
1780C23—1582no—
1781C23—1582no—
1782C23—1582no—
1783C23—1582no—
1784C23—1582no—
1785C23—1582no—
1786C23#1457920814yes—
1787C23C24×D7912yes—
1788C23C24×D7912yes—
1789C23C24×D7912yes—
1790C23C24×D7912yes—
1791C23C24×D7912yes—
1792C23C24×D7911yescharacteristic
1793Q8—44no—
1794Q8—3164no—
1795Q8—3164no—
1796Q8—3164no—
1797Q8—3164no—
1798Q8—3164no—
1799Q8—3164no—
1800Q8—1588no—
1801Q8—1588no—
1802Q8—1588no—
1803D4—28no—
1804D4—28no—
1805D4—44no—
1806D4—44no—
1807D4—44no—
1808D4—44no—
1809D4—44no—
1810D4—3164no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
1818D4—1588no—
1819D4—1588no—
1820D4—1588no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—3164no—
1836C2×C4—3164no—
1837C2×C4—3164no—
1838C2×C4—3164no—
1839C2×C4—3164no—
1840C2×C4—3164no—
1841C2×C4—3164no—
1842C2×C4—3164no—
1843C2×C4—3164no—
1844C2×C4—3164no—
1845C2×C4—3164no—
1846C2×C4—3164no—
1847C2×C4—3164no—
1848C2×C4—794no—
1849C2×C4—792no—
1850C2×C4—792no—
1851C2×C4—792no—
1852C2×C4—792no—
1853C2×C4—792no—
1854C2×C4—792no—
1855C2×C4—792no—
1856C2×C4—792no—
1857C2×C4—792no—
1858C2×C4—792no—
1859C2×C4—792no—
1860C2×C4—792no—
1861C2×C4—792no—
1862C2×C4—792no—
1863C2×C4—1588no—
1864C2×C4—1588no—
1865C2×C4—1588no—
1866C2×C4—1588no—
1867C2×C4—1588no—
1868C2×C4—1582no—
1869C2×C4—1582no—
1870C2×C4—1582no—
1871C2×C4—1582no—
1872C2×C4—1582no—
1873C2×C4—1582no—
1874C2×C4—1582no—
1875C2×C4—1582no—
1876C2×C4—1582no—
1877C2×C4—1582no—
1878C2×C4—1582no—
1879C2×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—
1891C22—28no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—416no—
1907C22—44no—
1908C22—44no—
1909C22—44no—
1910C22—44no—
1911C22—3164no—
1912C22—3164no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1582no—
1919C22H(5,𝔽2)×D7912yes—
1920C22C2×#1457920814yes—
1921C22C2×#1457920812yes—
1922C22#1909939812yes—
1923C22C25×D7911yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—794no—
1935C4—1582no—
1936C4—1582no—
1937C4—1582no—
1938C4—1582no—
1939C4—1582no—
1940C4—1582no—
1941C4—1582no—
1942C4—1582no—
1943C4—1582no—
1944C4—1582no—
1945C4—1582no—
1946C4—1582no—
1947C4—1582no—
1948C2—24no—
1949C2—42no—
1950C2—42no—
1951C2—42no—
1952C2—42no—
1953C2—3162no—
1954C2—3162no—
1955C2#2377768814yesdirect product factor
1956C2C2×H(5,𝔽2)×D7911yescharacteristic
1957C2C22×#1457920811yescharacteristic
1958C2C2×#1909939811yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#538×C79C2
socleC23×C79C25
hypercenterC2×#538D79
hypocenterC79C2×#3541
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #23777688C2direct (N × H)
2. C2×#19099316C2semidirect
3. C2×#19099315C2semidirect
4. C2×#19099308C2semidirect
5. C2×#19099307C2semidirect
6. C2×#19099282C2semidirect
7. C2×#19099272C2semidirect
8. C2×#19099271C2semidirect
9. C2×#19099267C2semidirect
10. C2×#19099265C2semidirect
11. C2×#19099262C2semidirect
12. C2×#19099256C2semidirect
13. C2×#19099249C2semidirect
14. C2×D4×Dic158C2semidirect
15. C2×#19099222C2semidirect
16. C2×#19099219C2semidirect
17. C2×#19099211C2semidirect
18. C2×#19099182C2semidirect
19. C2×#19099179C2semidirect
20. C2×#19099177C2semidirect
21. C2×#19099170C2semidirect
22. C2×#19099158C2semidirect
23. C2×#19099156C2semidirect
24. C2×#19099151C2semidirect
25. C2×#19099148C2semidirect
26. C2×#19099148C2semidirect
27. C2×#19099142C2semidirect
28. C2×#19099135C2semidirect
29. C2×#19099069C2semidirect
30. C2×#19099069C2semidirect
31. C22×#14579138C2semidirect
32. C2×#538×C79C2semidirect
33. C22×#11929624C22semidirect
37. C23×Dic158C22semidirect
39. #19099316C22semidirect
40. #19099315C22semidirect
41. #19099308C22semidirect
42. #19099307C22semidirect
43. #19099282C22semidirect
44. #19099272C22semidirect
45. #19099271C22semidirect
46. #19099267C22semidirect
47. #19099265C22semidirect
48. #19099262C22semidirect
49. #19099256C22semidirect
50. #19099249C22semidirect
51. D4×Dic158C22semidirect
52. #19099222C22semidirect
53. #19099219C22semidirect
54. #19099211C22semidirect
55. #19099182C22semidirect
56. #19099179C22semidirect
57. #19099177C22semidirect
58. #19099170C22semidirect
59. #19099158C22semidirect
60. #19099156C22semidirect
61. #19099151C22semidirect
62. #19099148C22semidirect
63. #19099148C22semidirect
64. #19099142C22semidirect
65. #19099135C22semidirect
66. C2×#14579161C22semidirect
67. C2×#14579160C22semidirect
68. C2×#14579160C22semidirect
69. C2×#14579160C22semidirect
70. C2×#14579160C22semidirect
71. C2×#14579159C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579155C22semidirect
80. C2×#14579154C22semidirect
81. C2×#14579154C22semidirect
82. C2×#14579154C22semidirect
83. C2×#14579154C22semidirect
84. C2×#14579153C22semidirect
85. C2×#14579152C22semidirect
86. C2×#14579152C22semidirect
87. C2×#14579151C22semidirect
88. C2×#14579151C22semidirect
89. C2×#14579151C22semidirect
90. C2×#14579151C22semidirect
91. C2×#14579151C22semidirect
92. C2×#14579151C22semidirect
93. C2×#14579149C22semidirect
100. C2×#14579147C22semidirect
101. C2×#14579147C22semidirect
102. #19099069C22semidirect
103. #19099069C22semidirect
104. C2×#14579146C22semidirect
107. C2×#14579145C22semidirect
108. C2×#14579145C22semidirect
109. C2×#14579144C22semidirect
114. C2×#14579143C22semidirect
119. C2×#14579142C22semidirect
120. C2×#14579141C22semidirect
121. C2×#14579141C22semidirect
123. C2×#14579140C22semidirect
124. C2×#14579140C22semidirect
125. C2×#14579140C22semidirect
126. C2×#14579139C22semidirect
127. C2×#14579139C22semidirect
128. C2×#14579139C22semidirect
129. C2×#14579139C22semidirect
144. C2×#14579138C22semidirect
145. C2×#14579138C22semidirect
146. C2×#14579138C22semidirect
147. C2×#14579138C22semidirect
148. C2×#14579138C22semidirect
149. C2×#14579137C22semidirect
150. C2×#14579137C22semidirect
154. C2×#14579134C22semidirect
163. C2×#14579133C22semidirect
166. C2×#14579132C22semidirect
169. C2×Q8×Dic79C22semidirect
170. C2×C4×Dic158C22semidirect
171. C2×C4×Dic158C22semidirect
172. C2×C4×Dic158C22semidirect
173. C2×#14579126C22semidirect
180. C2×D4×Dic79C22semidirect
183. C2×C4×C22⋊D79C22semidirect
190. C2×(C22⋊D79)⋊C4C22semidirect
191. C2×#14579119C22semidirect
192. C2×#14579118C22semidirect
195. C2×#14579117C22semidirect
199. C22×Dic79⋊C4C22semidirect
200. C2×C4⋊C4×D79C22semidirect
201. C2×C4⋊C4×D79C22semidirect
203. #538×C79C22semidirect
220. C2×#11929624C23semidirect
237. C22×Dic158C23semidirect
269. #14579161C23semidirect
270. #14579160C23semidirect
271. #14579160C23semidirect
272. #14579160C23semidirect
273. #14579160C23semidirect
274. #14579159C23semidirect
275. #14579156C23semidirect
276. #14579155C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579154C23semidirect
287. #14579153C23semidirect
288. #14579152C23semidirect
289. #14579152C23semidirect
290. #14579151C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
294. #14579151C23semidirect
295. #14579151C23semidirect
296. #14579149C23semidirect
303. #14579147C23semidirect
304. #14579147C23semidirect
305. #14579146C23semidirect
308. #14579145C23semidirect
309. #14579145C23semidirect
310. #14579144C23semidirect
315. #14579143C23semidirect
320. #14579142C23semidirect
321. #14579141C23semidirect
322. #14579141C23semidirect
324. #14579140C23semidirect
325. #14579140C23semidirect
326. #14579140C23semidirect
327. #14579139C23semidirect
328. #14579139C23semidirect
329. #14579139C23semidirect
330. #14579139C23semidirect
345. #14579138C23semidirect
346. #14579138C23semidirect
347. #14579138C23semidirect
348. #14579138C23semidirect
349. #14579137C23semidirect
350. #14579137C23semidirect
354. #14579134C23semidirect
363. #14579133C23semidirect
366. #14579132C23semidirect
369. Q8×Dic79C23semidirect
370. C4×Dic158C23semidirect
371. C4×Dic158C23semidirect
372. C4×Dic158C23semidirect
373. #14579126C23semidirect
380. D4×Dic79C23semidirect
383. C4×C22⋊D79C23semidirect
390. (C22⋊D79)⋊C4C23semidirect
391. #14579119C23semidirect
392. #14579118C23semidirect
395. #14579117C23semidirect
441. C2×Dic79⋊C4C23semidirect
442. C4⋊C4×D79C23semidirect
443. C4⋊C4×D79C23semidirect
974. C2×C79#3541semidirect
1006. C2×#538D79semidirect
1012. C79C2×#3541semidirect
1044. #538C2×D79semidirect
1955. C2#23777688direct (N × H)

Maximal subgroups

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

subgroupindex
#237776882
C2×#190993162
C2×#190993152
C2×#190993082
C2×#190993072
C2×#190992822
C2×#190992722
C2×#190992712
C2×#190992672
C2×#190992652
C2×#190992622
C2×#190992562
C2×#190992492
C2×D4×Dic1582
C2×#190992222
C2×#190992192
C2×#190992112
C2×#190991822
C2×#190991792
C2×#190991772
C2×#190991702
C2×#190991582
C2×#190991562
C2×#190991512
C2×#190991482
C2×#190991422
C2×#190991352
C2×#190990692
C22×#145791382
C2×#538×C792
C2×#354179