Finite Group Databasebeta

← C2×#23778019 #35195662

Subgroups — C2×#23778019 #35195662

Order 20224.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778019C2132yesmaximal, direct product factor
2C2×#19099315C211yesmaximal, characteristic, complemented
3C2×#19099314C211yesmaximal, characteristic, complemented
4C2×#19099313C211yesmaximal, characteristic, complemented
5C2×#19099312C211yesmaximal, characteristic, complemented
6C2×#19099285C211yesmaximal, characteristic, complemented
7C2×#19099273C211yesmaximal, characteristic, complemented
8C2×#19099267C211yesmaximal, characteristic, complemented
9C2×#19099254C211yesmaximal, characteristic, complemented
10C2×#19099249C211yesmaximal, characteristic, complemented
11C2×#19099249C211yesmaximal, characteristic, complemented
12C2×#19099246C211yesmaximal, characteristic, complemented
13C2×#19099243C211yesmaximal, characteristic, complemented
14C2×#19099242C211yesmaximal, characteristic, complemented
15C2×#19099238C211yesmaximal, characteristic, complemented
16C2×#19099237C211yesmaximal, characteristic, complemented
17C2×#19099190C211yesmaximal, characteristic, complemented
18C2×#19099188C211yesmaximal, characteristic, complemented
19C2×#19099179C211yesmaximal, characteristic, complemented
20C2×#19099177C211yesmaximal, characteristic, complemented
21C2×#19099175C211yesmaximal, characteristic, complemented
22C2×#19099171C211yesmaximal, characteristic, complemented
23C2×#19099171C211yesmaximal, characteristic, complemented
24C2×#19099170C211yesmaximal, characteristic, complemented
25C2×#19099159C211yesmaximal, characteristic, complemented
26C2×#19099155C211yesmaximal, characteristic, complemented
27C2×#19099154C211yesmaximal, characteristic, complemented
28C2×#19099147C211yesmaximal, characteristic
29C2×#19099117C211yesmaximal, characteristic, complemented
30C2×#19099091C211yesmaximal, characteristic, complemented
31C2×#126×D79C211yesmaximal, characteristic, complemented
32C2×#556×C79C211yesmaximal, characteristic, complemented
33#19099315C22116yescomplemented
34#19099314C22116yescomplemented
35#19099313C22116yescomplemented
36#19099312C22116yescomplemented
37#19099285C22116yescomplemented
38#19099273C22116yescomplemented
39#19099267C22116yescomplemented
40#19099254C22116yescomplemented
41#19099249C22116yescomplemented
42#19099249C22116yescomplemented
43#19099246C22116yescomplemented
44#19099243C22116yescomplemented
45#19099242C22116yescomplemented
46#19099238C22116yescomplemented
47#19099237C22116yescomplemented
48#19099190C22116yescomplemented
49#19099188C22116yescomplemented
50#19099179C22116yescomplemented
51#19099177C22116yescomplemented
52#19099175C22116yescomplemented
53#19099171C22116yescomplemented
54#19099171C22116yescomplemented
55#19099170C22116yescomplemented
56#19099159C22116yescomplemented
57#19099155C22116yescomplemented
58#19099154C22116yescomplemented
59#19099147C22116yes—
60#19099117C22116yescomplemented
61C2×#14579161C2211yescharacteristic, complemented
62C2×#14579160C2211yescharacteristic, complemented
63C2×#14579160C2211yescharacteristic, complemented
64C2×#14579159C2211yescharacteristic, complemented
65C2×#14579159C2211yescharacteristic, complemented
66C2×#14579159C2211yescharacteristic, complemented
67C2×#14579159C2211yescharacteristic, complemented
68#19099091C22116yescomplemented
69C2×#14579156C2211yescharacteristic
70C2×#14579156C2211yescharacteristic
71C2×#14579156C2211yescharacteristic
72C2×#14579156C2211yescharacteristic
73C2×#14579156C2211yescharacteristic
74C2×#14579156C2211yescharacteristic, complemented
75C2×#14579156C2211yescharacteristic, complemented
76C2×#14579155C2211yescharacteristic
77C2×#14579155C2211yescharacteristic
78C2×#14579155C2211yescharacteristic
79C2×#14579155C2211yescharacteristic
80C2×#14579155C2211yescharacteristic, complemented
81C2×#14579155C2211yescharacteristic, complemented
82C2×#14579154C2211yescharacteristic
83C2×#14579154C2211yescharacteristic
84C2×#14579154C2211yescharacteristic
85C2×#14579154C2211yescharacteristic
86C2×#14579154C2211yescharacteristic
87C2×#14579154C2211yescharacteristic
88C2×#14579154C2211yescharacteristic
89C2×#14579154C2211yescharacteristic, complemented
90C2×#14579154C2211yescharacteristic, complemented
91#126×D79C22116yescomplemented
92C2×#14579153C2211yescharacteristic, complemented
93C2×#14579153C2211yescharacteristic, complemented
94C2×#14579153C2211yescharacteristic, complemented
95C2×#14579153C2211yescharacteristic, complemented
96C2×#14579153C2211yescharacteristic, complemented
97C2×#14579152C2211yescharacteristic, complemented
98C2×#14579152C2211yescharacteristic, complemented
99C2×#14579152C2211yescharacteristic, complemented
100C2×#14579151C2211yescharacteristic, complemented
101C2×#14579151C2211yescharacteristic, complemented
102C2×#14579151C2211yescharacteristic, complemented
103C2×#14579151C2211yescharacteristic, complemented
104C2×#14579151C2211yescharacteristic, complemented
105C2×#14579151C2211yescharacteristic, complemented
106C2×#14579151C2211yescharacteristic, complemented
107C2×#14579151C2211yescharacteristic, complemented
108C2×#14579151C2211yescharacteristic, complemented
109C2×#14579151C2211yescharacteristic, complemented
110C2×#14579151C2211yescharacteristic, complemented
111C2×#14579150C2211yescharacteristic
112C2×#14579149C2211yescharacteristic
113C2×#14579147C2211yescharacteristic
114C2×#14579147C2211yescharacteristic
115C2×#14579147C2211yescharacteristic, complemented
116C2×#14579146C2211yescharacteristic
117C2×#14579146C2211yescharacteristic
118C2×#14579146C2211yescharacteristic
119C2×#14579146C2211yescharacteristic
120C2×#14579145C2211yescharacteristic
121C2×#14579145C2211yescharacteristic, complemented
122C2×#14579144C2211yescharacteristic
123C2×#14579144C2211yescharacteristic
124C2×#14579143C2211yescharacteristic
125C2×#14579143C2211yescharacteristic
126C2×#14579143C2211yescharacteristic
127C2×#14579143C2211yescharacteristic
128C2×#14579143C2211yescharacteristic
129C2×#14579143C2211yescharacteristic, complemented
130C2×#14579142C2211yescharacteristic
131C2×#14579142C2211yescharacteristic
132C2×#14579141C2211yescharacteristic
133C2×#14579141C2211yescharacteristic
134C2×#14579141C2211yescharacteristic
135C2×#14579140C2211yescharacteristic
136C2×#14579140C2211yescharacteristic
137C2×#14579139C2211yescharacteristic
138C2×#14579139C2211yescharacteristic
139C2×#14579139C2211yescharacteristic
140C2×#14579139C2211yescharacteristic
141C2×#14579139C2211yescharacteristic
142C2×#14579139C2211yescharacteristic
143C2×#14579139C2211yescharacteristic
144C2×#14579139C2211yescharacteristic, complemented
145C2×#14579139C2211yescharacteristic, complemented
146C2×#14579139C2211yescharacteristic, complemented
147C2×#14579138C2211yescharacteristic
148C2×#14579138C2211yescharacteristic
149C2×#14579138C2211yescharacteristic
150C2×#14579138C2211yescharacteristic, complemented
151C2×#14579138C2211yescharacteristic, complemented
152C2×#14579138C2211yescharacteristic, complemented
153C2×#14579138C2211yescharacteristic, complemented
154C2×#14579137C2211yescharacteristic
155C2×#14579137C2211yescharacteristic
156C2×#14579137C2211yescharacteristic
157C2×#14579137C2211yescharacteristic
158C2×#14579137C2211yescharacteristic
159C2×#14579137C2211yescharacteristic, complemented
160C2×#14579137C2211yescharacteristic, complemented
161C2×#14579134C2211yescharacteristic
162C2×#14579134C2211yescharacteristic
163C2×#14579133C2211yescharacteristic
164C2×#14579131C2211yescharacteristic
165C2×#14579129C2211yescharacteristic
166C2×C4×Dic158C2211yescharacteristic, complemented
167C2×C4×Dic158C2211yescharacteristic, complemented
168C2×C4×Dic158C2211yescharacteristic, complemented
169C2×C4×Dic158C2211yescharacteristic, complemented
170C2×C4×Dic158C2211yescharacteristic, complemented
171C2×#14579126C2211yescharacteristic, complemented
172C2×C4×D316C2211yescharacteristic
173C2×C4×D316C2211yescharacteristic
174C2×C4×D316C2211yescharacteristic
175C2×#14579123C2211yescharacteristic
176C2×C4×C22⋊D79C2211yescharacteristic
177C2×C4×C22⋊D79C2211yescharacteristic, complemented
178C2×(C22⋊D79)⋊C4C2211yescharacteristic
179C2×(C22⋊D79)⋊C4C2211yescharacteristic
180C2×(C22⋊D79)⋊C4C2211yescharacteristic
181C2×(C22⋊D79)⋊C4C2211yescharacteristic
182C2×#14579119C2211yescharacteristic
183C2×#14579119C2211yescharacteristic, complemented
184C2×#14579118C2211yescharacteristic
185C2×#14579118C2211yescharacteristic
186C2×#14579118C2211yescharacteristic
187C2×#14579118C2211yescharacteristic
188C2×#14579118C2211yescharacteristic
189C2×#14579118C2211yescharacteristic, complemented
190C2×#14579117C2211yescharacteristic
191C2×#14579117C2211yescharacteristic, complemented
192C22×Dic79⋊C4C2211yescharacteristic, complemented
193C2×C4⋊C4×D79C2211yescharacteristic
194C2×C4⋊C4×D79C2211yescharacteristic
195C2×C4⋊C4×D79C2211yescharacteristic
196C2×C4⋊C4×D79C2211yescharacteristic, complemented
197C22×(C2×D79)⋊C4C2211yescharacteristic
198C2×C22⋊C4×D79C2211yescharacteristic
199C2×C22⋊C4×D79C2211yescharacteristic
200C2×C22⋊C4×D79C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C42×D79C2211yescharacteristic
203#556×C79C22116yescomplemented
204C2×C4⋊Q8×C79C2211yescharacteristic, complemented
205C2×#126×C79C2211yescharacteristic
206C2×#126×C79C2211yescharacteristic
207C2×#126×C79C2211yescharacteristic, complemented
208C2×#126×C79C2211yescharacteristic, complemented
209C2×#124×C79C2211yescharacteristic
210C2×#124×C79C2211yescharacteristic
211C2×C22⋊Q8×C79C2211yescharacteristic
212C2×C22⋊Q8×C79C2211yescharacteristic, complemented
213C2×C4×Q8×C79C2211yescharacteristic, complemented
214C2×C4×Q8×C79C2211yescharacteristic, complemented
215C2×C4×Q8×C79C2211yescharacteristic, complemented
216C2×C4×D4×C79C2211yescharacteristic
217C2×#117×C79C2211yescharacteristic
218C2×#117×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×Dic158C2311yescharacteristic
222C22×Dic158C2311yescharacteristic
223C22×Dic158C2311yescharacteristic
224C22×Dic158C2311yescharacteristic
225C22×Dic158C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C22×D316C2311yescharacteristic
228C22×C22⋊D79C2311yescharacteristic
229C22×C22⋊D79C2311yescharacteristic
230C22×C22⋊D79C2311yescharacteristic
231C22×C22⋊D79C2311yescharacteristic
232C23×Dic79C2311yescharacteristic
233C23×Dic79C2311yescharacteristic
234C23×Dic79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236C22×C4×D79C2311yescharacteristic
237C22×C4×D79C2311yescharacteristic
238C22×C4×D79C2311yescharacteristic
239C22×C4×D79C2311yescharacteristic
240C22×C4×D79C2311yescharacteristic
241C22×C4×D79C2311yescharacteristic
242C22×C4×D79C2311yescharacteristic
243C22×C4×D79C2311yescharacteristic
244C22×C4×D79C2311yescharacteristic
245C22×C4×D79C2311yescharacteristic
246#14579161C2318yescomplemented
247#14579160C2318yescomplemented
248#14579160C2318yescomplemented
249#14579159C2318yescomplemented
250#14579159C2318yescomplemented
251#14579159C2318yescomplemented
252#14579159C2318yescomplemented
253#14579156C2318yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579156C2318yescomplemented
259#14579156C2318yescomplemented
260#14579155C2318yes—
261#14579155C2318yes—
262#14579155C2318yes—
263#14579155C2318yes—
264#14579155C2318yescomplemented
265#14579155C2318yescomplemented
266#14579154C2318yes—
267#14579154C2318yes—
268#14579154C2318yes—
269#14579154C2318yes—
270#14579154C2318yes—
271#14579154C2318yes—
272#14579154C2318yes—
273#14579154C2318yescomplemented
274#14579154C2318yescomplemented
275#14579153C2318yescomplemented
276#14579153C2318yescomplemented
277#14579153C2318yescomplemented
278#14579153C2318yescomplemented
279#14579153C2318yescomplemented
280#14579152C2318yescomplemented
281#14579152C2318yescomplemented
282#14579152C2318yescomplemented
283#14579151C2318yescomplemented
284#14579151C2318yescomplemented
285#14579151C2318yescomplemented
286#14579151C2318yescomplemented
287#14579151C2318yescomplemented
288#14579151C2318yescomplemented
289#14579151C2318yescomplemented
290#14579151C2318yescomplemented
291#14579151C2318yescomplemented
292#14579151C2318yescomplemented
293#14579151C2318yescomplemented
294#14579150C2318yes—
295#14579149C2318yes—
296#14579147C2318yes—
297#14579147C2318yes—
298#14579147C2318yescomplemented
299#14579146C2318yes—
300#14579146C2318yes—
301#14579146C2318yes—
302#14579146C2318yes—
303#14579145C2318yes—
304#14579145C2318yescomplemented
305#14579144C2318yes—
306#14579144C2318yes—
307#14579143C2318yes—
308#14579143C2318yes—
309#14579143C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2318yescomplemented
313#14579142C2318yes—
314#14579142C2318yes—
315#14579141C2318yes—
316#14579141C2318yes—
317#14579141C2318yes—
318#14579140C2318yes—
319#14579140C2318yes—
320#14579139C2318yes—
321#14579139C2318yes—
322#14579139C2318yes—
323#14579139C2318yes—
324#14579139C2318yes—
325#14579139C2318yes—
326#14579139C2318yes—
327#14579139C2318yescomplemented
328#14579139C2318yescomplemented
329#14579139C2318yescomplemented
330#14579138C2318yes—
331#14579138C2318yes—
332#14579138C2318yes—
333#14579138C2318yescomplemented
334#14579138C2318yescomplemented
335#14579138C2318yescomplemented
336#14579138C2318yescomplemented
337#14579137C2318yes—
338#14579137C2318yes—
339#14579137C2318yes—
340#14579137C2318yes—
341#14579137C2318yes—
342#14579137C2318yescomplemented
343#14579137C2318yescomplemented
344#14579134C2318yes—
345#14579134C2318yes—
346#14579133C2318yes—
347#14579131C2318yes—
348#14579129C2318yes—
349C4×Dic158C2318yescomplemented
350C4×Dic158C2318yescomplemented
351C4×Dic158C2318yescomplemented
352C4×Dic158C2318yescomplemented
353C4×Dic158C2318yescomplemented
354#14579126C2318yescomplemented
355C4×D316C2318yes—
356C4×D316C2318yes—
357C4×D316C2318yes—
358#14579123C2318yes—
359C4×C22⋊D79C2318yes—
360C4×C22⋊D79C2318yescomplemented
361(C22⋊D79)⋊C4C2318yes—
362(C22⋊D79)⋊C4C2318yes—
363(C22⋊D79)⋊C4C2318yes—
364(C22⋊D79)⋊C4C2318yes—
365#14579119C2318yes—
366#14579119C2318yescomplemented
367#14579118C2318yes—
368#14579118C2318yes—
369#14579118C2318yes—
370#14579118C2318yes—
371#14579118C2318yes—
372#14579118C2318yescomplemented
373#14579117C2318yes—
374#14579117C2318yescomplemented
375C2×C4⋊Dic79C2311yescharacteristic
376C2×C4⋊Dic79C2311yescharacteristic
377C2×C4⋊Dic79C2311yescharacteristic
378C2×C4⋊Dic79C2311yescharacteristic
379C2×C4⋊Dic79C2311yescharacteristic
380C2×C4⋊Dic79C2311yescharacteristic
381C2×C4⋊Dic79C2311yescharacteristic
382C2×C4⋊Dic79C2311yescharacteristic
383C2×C4⋊Dic79C2311yescharacteristic
384C2×C4⋊Dic79C2311yescharacteristic
385C2×C4⋊Dic79C2311yescharacteristic
386C2×C4⋊Dic79C2311yescharacteristic
387C2×C4⋊Dic79C2311yescharacteristic
388C2×C4⋊Dic79C2311yescharacteristic
389C2×Dic79⋊C4C2311yescharacteristic
390C2×Dic79⋊C4C2311yescharacteristic
391C2×Dic79⋊C4C2311yescharacteristic
392C2×Dic79⋊C4C2311yescharacteristic
393C2×Dic79⋊C4C2311yescharacteristic
394C2×Dic79⋊C4C2311yescharacteristic
395C2×Dic79⋊C4C2311yescharacteristic
396C2×Dic79⋊C4C2311yescharacteristic
397C2×Dic79⋊C4C2311yescharacteristic
398C2×Dic79⋊C4C2311yescharacteristic
399C2×Dic79⋊C4C2311yescharacteristic
400C2×Dic79⋊C4C2311yescharacteristic
401C2×Dic79⋊C4C2311yescharacteristic
402C2×Dic79⋊C4C2311yescharacteristic
403C2×Dic79⋊C4C2311yescharacteristic
404C2×Dic79⋊C4C2311yescharacteristic
405C2×Dic79⋊C4C2311yescharacteristic
406C2×Dic79⋊C4C2311yescharacteristic
407C2×Dic79⋊C4C2311yescharacteristic
408C2×Dic79⋊C4C2311yescharacteristic
409C2×Dic79⋊C4C2311yescharacteristic
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2311yescharacteristic
412C2×Dic79⋊C4C2311yescharacteristic
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2318yescomplemented
426C4⋊C4×D79C2318yes—
427C4⋊C4×D79C2318yes—
428C4⋊C4×D79C2318yes—
429C4⋊C4×D79C2318yescomplemented
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)⋊C4C2311yescharacteristic
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
463C22⋊C4×D79C2318yes—
464C22⋊C4×D79C2318yes—
465C22⋊C4×D79C2318yes—
466C22⋊C4×D79C2318yes—
467C2×C4×Dic79C2311yescharacteristic
468C2×C4×Dic79C2311yescharacteristic
469C2×C4×Dic79C2311yescharacteristic
470C2×C4×Dic79C2311yescharacteristic
471C2×C4×Dic79C2311yescharacteristic
472C2×C4×Dic79C2311yescharacteristic
473C2×C4×Dic79C2311yescharacteristic
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C42×D79C2318yes—
479C22×Q8×C79C2311yescharacteristic
480C22×Q8×C79C2311yescharacteristic
481C22×Q8×C79C2311yescharacteristic
482C22×D4×C79C2311yescharacteristic
483C23×C4×C79C2311yescharacteristic
484C23×C4×C79C2311yescharacteristic
485C4⋊Q8×C79C2318yescomplemented
486#126×C79C2318yes—
487#126×C79C2318yes—
488#126×C79C2318yescomplemented
489#126×C79C2318yescomplemented
490#124×C79C2318yes—
491#124×C79C2318yes—
492C22⋊Q8×C79C2318yes—
493C22⋊Q8×C79C2318yescomplemented
494C4×Q8×C79C2318yescomplemented
495C4×Q8×C79C2318yescomplemented
496C4×Q8×C79C2318yescomplemented
497C4×D4×C79C2318yes—
498#117×C79C2318yes—
499#117×C79C2318yescomplemented
500C2×C4⋊C4×C79C2311yescharacteristic
501C2×C4⋊C4×C79C2311yescharacteristic
502C2×C4⋊C4×C79C2311yescharacteristic
503C2×C4⋊C4×C79C2311yescharacteristic
504C2×C4⋊C4×C79C2311yescharacteristic
505C2×C4⋊C4×C79C2311yescharacteristic
506C2×C4⋊C4×C79C2311yescharacteristic
507C2×C4⋊C4×C79C2311yescharacteristic
508C2×C4⋊C4×C79C2311yescharacteristic
509C2×C4⋊C4×C79C2311yescharacteristic
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C22⋊C4×C79C2311yescharacteristic
513C2×C22⋊C4×C79C2311yescharacteristic
514C2×C22⋊C4×C79C2311yescharacteristic
515C2×C22⋊C4×C79C2311yescharacteristic
516C2×C22⋊C4×C79C2311yescharacteristic
517C2×C22⋊C4×C79C2311yescharacteristic
518C2×C22⋊C4×C79C2311yescharacteristic
519C2×C22⋊C4×C79C2311yescharacteristic
520C2×C22⋊C4×C79C2311yescharacteristic
521C2×C22⋊C4×C79C2311yescharacteristic
522C2×C42×C79C2311yescharacteristic
523C2×C42×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C23×D79—24no—
530C23×D79—42no—
531C23×D79—42no—
532C23×D79C2411yescharacteristic
533C23×D79C2411yescharacteristic
534C23×D79C2411yescharacteristic
535C23×D79C2414yes—
536C2×Dic158—42no—
537C2×Dic158—42no—
538C2×Dic158—42no—
539C2×Dic158—42no—
540C2×Dic158—42no—
541C2×Dic158—42no—
542C2×Dic158C2414yes—
543C2×Dic158C2414yes—
544C2×Dic158C2414yes—
545C2×Dic158C2414yes—
546C2×Dic158C2414yes—
547C2×Dic158C2414yes—
548C2×D316—24no—
549C2×D316—42no—
550C2×D316C2414yes—
551C2×D316C2414yes—
552C2×C22⋊D79—24no—
553C2×C22⋊D79—42no—
554C2×C22⋊D79—42no—
555C2×C22⋊D79—42no—
556C2×C22⋊D79C2414yes—
557C2×C22⋊D79C2414yes—
558C2×C22⋊D79C2414yes—
559C2×C22⋊D79C2414yes—
560C22×Dic79—42no—
561C22×Dic79—42no—
562C22×Dic79—42no—
563C22×Dic79C2411yescharacteristic
564C22×Dic79C2411yescharacteristic
565C22×Dic79C2411yescharacteristic
566C22×Dic79C2411yescharacteristic
567C22×Dic79C2411yescharacteristic
568C22×Dic79C2411yescharacteristic
569C22×Dic79C2411yescharacteristic
570C22×Dic79C2411yescharacteristic
571C22×Dic79C2411yescharacteristic
572C22×Dic79C2411yescharacteristic
573C22×Dic79C2411yescharacteristic
574C22×Dic79C2411yescharacteristic
575C22×Dic79C2411yescharacteristic
576C22×Dic79C2414yes—
577C22×Dic79C2414yes—
578C22×Dic79C2414yes—
579C2×C4×D79—24no—
580C2×C4×D79—24no—
581C2×C4×D79—42no—
582C2×C4×D79—42no—
583C2×C4×D79—42no—
584C2×C4×D79—42no—
585C2×C4×D79—42no—
586C2×C4×D79—42no—
587C2×C4×D79—42no—
588C2×C4×D79—42no—
589C2×C4×D79—42no—
590C2×C4×D79C2414yes—
591C2×C4×D79C2414yes—
592C2×C4×D79C2414yes—
593C2×C4×D79C2414yes—
594C2×C4×D79C2414yes—
595C2×C4×D79C2414yes—
596C2×C4×D79C2414yes—
597C2×C4×D79C2414yes—
598C2×C4×D79C2414yes—
599C2×C4×D79C2414yes—
600C2×C4×D79C2414yes—
601C4⋊Dic79C2414yes—
602C4⋊Dic79C2414yes—
603C4⋊Dic79C2414yes—
604C4⋊Dic79C2414yes—
605C4⋊Dic79C2414yes—
606C4⋊Dic79C2414yes—
607C4⋊Dic79C2414yes—
608C4⋊Dic79C2414yes—
609C4⋊Dic79C2414yes—
610C4⋊Dic79C2414yes—
611C4⋊Dic79C2414yes—
612C4⋊Dic79C2414yes—
613C4⋊Dic79C2414yes—
614C4⋊Dic79C2414yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2414yes—
619Dic79⋊C4C2414yes—
620Dic79⋊C4C2414yes—
621Dic79⋊C4C2414yes—
622Dic79⋊C4C2414yes—
623Dic79⋊C4C2414yes—
624Dic79⋊C4C2414yes—
625Dic79⋊C4C2414yes—
626Dic79⋊C4C2414yes—
627Dic79⋊C4C2414yes—
628Dic79⋊C4C2414yes—
629Dic79⋊C4C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2414yes—
632Dic79⋊C4C2414yes—
633Dic79⋊C4C2414yes—
634Dic79⋊C4C2414yes—
635Dic79⋊C4C2414yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2414yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650Dic79⋊C4C2414yes—
651C22⋊Dic79C2414yes—
652C22⋊Dic79C2414yes—
653C22⋊Dic79C2414yes—
654C22⋊Dic79C2414yes—
655C22⋊Dic79C2414yes—
656C22⋊Dic79C2414yes—
657C22⋊Dic79C2414yes—
658C22⋊Dic79C2414yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2414yes—
664(C2×D79)⋊C4C2414yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2414yes—
670(C2×D79)⋊C4C2414yes—
671(C2×D79)⋊C4C2414yes—
672(C2×D79)⋊C4C2414yes—
673(C2×D79)⋊C4C2414yes—
674(C2×D79)⋊C4C2414yes—
675(C2×D79)⋊C4C2414yes—
676(C2×D79)⋊C4C2414yes—
677(C2×D79)⋊C4C2414yes—
678(C2×D79)⋊C4C2414yes—
679(C2×D79)⋊C4C2414yes—
680(C2×D79)⋊C4C2414yes—
681(C2×D79)⋊C4C2414yes—
682(C2×D79)⋊C4C2414yes—
683C4×Dic79C2414yes—
684C4×Dic79C2414yes—
685C4×Dic79C2414yes—
686C4×Dic79C2414yes—
687C4×Dic79C2414yes—
688C4×Dic79C2414yes—
689C4×Dic79C2414yes—
690C4×Dic79C2414yes—
691C4×Dic79C2414yes—
692C4×Dic79C2414yes—
693C4×Dic79C2414yes—
694C24×C79C2411yescharacteristic
695C24×C79C2411yescharacteristic
696C2×Q8×C79—42no—
697C2×Q8×C79—42no—
698C2×Q8×C79—42no—
699C2×Q8×C79C2414yes—
700C2×Q8×C79C2414yes—
701C2×Q8×C79C2414yes—
702C2×D4×C79—42no—
703C2×D4×C79C2414yes—
704C22×C4×C79—42no—
705C22×C4×C79—42no—
706C22×C4×C79C2411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2411yescharacteristic
713C22×C4×C79C2411yescharacteristic
714C22×C4×C79C2411yescharacteristic
715C22×C4×C79C2411yescharacteristic
716C22×C4×C79C2411yescharacteristic
717C22×C4×C79C2411yescharacteristic
718C22×C4×C79C2411yescharacteristic
719C22×C4×C79C2414yes—
720C22×C4×C79C2414yes—
721C4⋊C4×C79C2414yes—
722C4⋊C4×C79C2414yes—
723C4⋊C4×C79C2414yes—
724C4⋊C4×C79C2414yes—
725C4⋊C4×C79C2414yes—
726C4⋊C4×C79C2414yes—
727C4⋊C4×C79C2414yes—
728C4⋊C4×C79C2414yes—
729C4⋊C4×C79C2414yes—
730C4⋊C4×C79C2414yes—
731C4⋊C4×C79C2414yes—
732C4⋊C4×C79C2414yes—
733C22⋊C4×C79C2414yes—
734C22⋊C4×C79C2414yes—
735C22⋊C4×C79C2414yes—
736C22⋊C4×C79C2414yes—
737C22⋊C4×C79C2414yes—
738C22⋊C4×C79C2414yes—
739C22⋊C4×C79C2414yes—
740C22⋊C4×C79C2414yes—
741C22⋊C4×C79C2414yes—
742C22⋊C4×C79C2414yes—
743C42×C79C2414yes—
744C42×C79C2414yes—
745C42×C79C2414yes—
746C42×C79C2414yes—
747C42×C79C2414yes—
748C42×C79C2414yes—
749C42×C79C2414yes—
750C23×C79—22no—
751C23×C79—22no—
752C23×C79—22no—
753C23×C79—22no—
754C23×C79—22no—
755C23×C79—22no—
756C23×C79C2512yes—
757C23×C79C2512yes—
758C23×C79C2511yescharacteristic
759C22×D79—22no—
760C22×D79—22no—
761C22×D79—22no—
762C22×D79—22no—
763C22×D79—22no—
764C22×D79—22no—
765C22×D79—22no—
766C22×D79—22no—
767C22×D79—28no—
768C22×D79—44no—
769C22×D79—44no—
770C22×D79—88no—
771C22×D792−1+414yes—
772C22×D79C2512yes—
773C22×D79C2512yes—
774C22×D79C2512yes—
775Q8×C79—44no—
776Q8×C79—44no—
777Q8×C79—44no—
778D4×C79—44no—
779C2×C4×C79—22no—
780C2×C4×C79—22no—
781C2×C4×C79—22no—
782C2×C4×C79—22no—
783C2×C4×C79—22no—
784C2×C4×C79—22no—
785C2×C4×C79—22no—
786C2×C4×C79—22no—
787C2×C4×C79—22no—
788C2×C4×C79—22no—
789C2×C4×C79—22no—
790C2×C4×C79—22no—
791C2×C4×C79—22no—
792C2×C4×C79—44no—
793C2×C4×C79—44no—
794C2×C4×C79C2512yes—
795C2×C4×C79C2512yes—
796C2×C4×C79C2512yes—
797C2×C4×C79C2512yes—
798C2×C4×C79C2512yes—
799C2×C4×C79C2512yes—
800C2×C4×C79C2512yes—
801C2×C4×C79C2512yes—
802C2×C4×C79C2512yes—
803C2×C4×C79C2512yes—
804C2×C4×C79C2512yes—
805C2×C4×C79C2512yes—
806C2×C4×C79C2512yes—
807C22⋊D79—28no—
808C22⋊D79—44no—
809C22⋊D79—44no—
810C22⋊D79—44no—
811C2×Dic79—22no—
812C2×Dic79—22no—
813C2×Dic79—22no—
814C2×Dic79—22no—
815C2×Dic79—22no—
816C2×Dic79—22no—
817C2×Dic79—22no—
818C2×Dic79—22no—
819C2×Dic79—22no—
820C2×Dic79—22no—
821C2×Dic79—22no—
822C2×Dic79—22no—
823C2×Dic79—22no—
824C2×Dic79—44no—
825C2×Dic79—44no—
826C2×Dic79—44no—
827C2×Dic79C2512yes—
828C2×Dic79C2512yes—
829C2×Dic79C2512yes—
830C2×Dic79C2512yes—
831C2×Dic79C2512yes—
832C2×Dic79C2512yes—
833C2×Dic79C2512yes—
834C2×Dic79C2512yes—
835C2×Dic79C2512yes—
836C2×Dic79C2512yes—
837C2×Dic79C2512yes—
838C2×Dic79C2512yes—
839C2×Dic79C2512yes—
840D316—28no—
841D316—44no—
842C4×D79—28no—
843C4×D79—28no—
844C4×D79—44no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—44no—
848C4×D79—44no—
849C4×D79—44no—
850C4×D79—44no—
851C4×D79—44no—
852C4×D79—44no—
853Dic158—44no—
854Dic158—44no—
855Dic158—44no—
856Dic158—44no—
857Dic158—44no—
858Dic158—44no—
859C22×C79—22no—
860C22×C79—22no—
861C22×C79—22no—
862C22×C79—22no—
863C22×C79—22no—
864C22×C79—22no—
865C22×C79—44no—
866C22×C79—44no—
867C22×C79C2×2−1+412yes—
868C22×C79#58512yes—
869C22×C79#58512yes—
870C22×C79C2611yescharacteristic
871C2×D79—22no—
872C2×D79—22no—
873C2×D79—28no—
874C2×D79—22no—
875C2×D79—22no—
876C2×D79—22no—
877C2×D79—22no—
878C2×D79—22no—
879C2×D79—22no—
880C2×D79—44no—
881C2×D79—44no—
882C2×D79—88no—
883C2×D79C2×2−1+414yes—
884C4×C79—22no—
885C4×C79—22no—
886C4×C79—22no—
887C4×C79—22no—
888C4×C79—22no—
889C4×C79—22no—
890C4×C79—22no—
891C4×C79—22no—
892C4×C79—22no—
893C4×C79—22no—
894C4×C79—22no—
895C4×C79—22no—
896C4×C79—22no—
897Dic79—22no—
898Dic79—22no—
899Dic79—22no—
900Dic79—22no—
901Dic79—22no—
902Dic79—22no—
903Dic79—22no—
904Dic79—22no—
905Dic79—22no—
906Dic79—22no—
907Dic79—22no—
908Dic79—22no—
909Dic79—22no—
910C2×#3564—791nomaximal, Sylow
911C2×C79—42no—
912C2×C79—42no—
913C2×C79#356414yescomplemented
914C2×C79C22×2−1+411yescharacteristic
915C2×C79C2×#58511yescharacteristic
916C2×C79C2×#58511yescharacteristic
917D79—24no—
918D79—42no—
919D79—42no—
920#3564—7932no—
921C2×#563—791no—
922C2×#563—791no—
923C2×#563—791no—
924C2×#563—791no—
925C2×#556—791no—
926C2×#556D7911yescharacteristic, complemented
927C2×#554—791no—
928C2×#554—791no—
929C2×#552—791no—
930C2×#552—791no—
931C2×#552—791no—
932C2×#552—791no—
933C2×#551—791no—
934C2×#551—791no—
935C2×#551—791no—
936C2×#551—791no—
937C2×#544—791no—
938C2×#543—791no—
939C2×#542—791no—
940C2×#542—791no—
941C2×#541—791no—
942C2×#541—791no—
943C2×#541—791no—
944C2×#541—791no—
945C2×#539—791no—
946C2×#539—791no—
947C2×#539—791no—
948C2×#538—791no—
949C2×#533—791no—
950C2×#529—791no—
951C22×#126—791no—
952C79C2×#356411yescharacteristic, complemented, Sylow
953#563—7916no—
954#563—7916no—
955#563—7916no—
956#563—7916no—
957#556—7916no—
958#556C2×D79116yescomplemented
959#554—7916no—
960#554—7916no—
961#552—7916no—
962#552—7916no—
963#552—7916no—
964#552—7916no—
965#551—7916no—
966#551—7916no—
967#551—7916no—
968#551—7916no—
969#544—7916no—
970#543—7916no—
971#542—7916no—
972#542—7916no—
973#541—7916no—
974#541—7916no—
975#541—7916no—
976#541—7916no—
977#539—7916no—
978#539—7916no—
979#539—7916no—
980#538—7916no—
981#533—7916no—
982C2×C4⋊Q8—791no—
983C2×C4⋊Q8—791no—
984C2×C4⋊Q8—791no—
985C2×C4⋊Q8—791no—
986C2×C4⋊Q8—791no—
987C2×C4⋊Q8—791no—
988C2×C4⋊Q8—791no—
989C2×C4⋊Q8C2×D7911yescharacteristic, complemented
990#529—7916no—
991C2×#126—7916no—
992C2×#126—791no—
993C2×#126—791no—
994C2×#126—791no—
995C2×#126—791no—
996C2×#126—791no—
997C2×#126—791no—
998C2×#126—791no—
999C2×#126—791no—
1000C2×#126—791no—
1001C2×#126—791no—
1002C2×#126—791no—
1003C2×#126—791no—
1004C2×#126—791no—
1005C2×#126—791no—
1006C2×#126—791no—
1007C2×#126—791no—
1008C2×#126—791no—
1009C2×#126—791no—
1010C2×#126—791no—
1011C2×#126—791no—
1012C2×#126—791no—
1013C2×#126—791no—
1014C2×#126C2×D7911yescharacteristic
1015C2×#126C2×D7911yescharacteristic
1016C2×#126C2×D7911yescharacteristic, complemented
1017C2×#126C2×D7911yescharacteristic, complemented
1018C2×#125—791no—
1019C2×#125—791no—
1020C2×#125—791no—
1021C2×#125—791no—
1022C2×#125—791no—
1023C2×#125—791no—
1024C2×#125—791no—
1025C2×#125—791no—
1026C2×#125—791no—
1027C2×#125—791no—
1028C2×#125—791no—
1029C2×#125—791no—
1030C2×#125—791no—
1031C2×#125—791no—
1032C2×#125—791no—
1033C2×#125—791no—
1034C2×#125—791no—
1035C2×#125—791no—
1036C2×#125—791no—
1037C2×#124—791no—
1038C2×#124—791no—
1039C2×#124—791no—
1040C2×#124—791no—
1041C2×#124—791no—
1042C2×#124C2×D7911yescharacteristic
1043C2×#124C2×D7911yescharacteristic
1044C2×#123—791no—
1045C2×#123—791no—
1046C2×#123—791no—
1047C2×#123—791no—
1048C2×#123—791no—
1049C2×#123—791no—
1050C2×#123—791no—
1051C2×#123—791no—
1052C2×#123—791no—
1053C2×#123—791no—
1054C2×#123—791no—
1055C2×#123—791no—
1056C2×#123—791no—
1057C2×#123—791no—
1058C2×#123—791no—
1059C2×#123—791no—
1060C2×C22⋊Q8—791no—
1061C2×C22⋊Q8—791no—
1062C2×C22⋊Q8—791no—
1063C2×C22⋊Q8—791no—
1064C2×C22⋊Q8—791no—
1065C2×C22⋊Q8—791no—
1066C2×C22⋊Q8—791no—
1067C2×C22⋊Q8—791no—
1068C2×C22⋊Q8—791no—
1069C2×C22⋊Q8—791no—
1070C2×C22⋊Q8—791no—
1071C2×C22⋊Q8—791no—
1072C2×C22⋊Q8—791no—
1073C2×C22⋊Q8—791no—
1074C2×C22⋊Q8—791no—
1075C2×C22⋊Q8—791no—
1076C2×C22⋊Q8—791no—
1077C2×C22⋊Q8—791no—
1078C2×C22⋊Q8—791no—
1079C2×C22⋊Q8—791no—
1080C2×C22⋊Q8—791no—
1081C2×C22⋊Q8—791no—
1082C2×C22⋊Q8—791no—
1083C2×C22⋊Q8—791no—
1084C2×C22⋊Q8—791no—
1085C2×C22⋊Q8—791no—
1086C2×C22⋊Q8—791no—
1087C2×C22⋊Q8—791no—
1088C2×C22⋊Q8—791no—
1089C2×C22⋊Q8C2×D7911yescharacteristic
1090C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1091C2×#121—791no—
1092C2×#121—791no—
1093C2×#121—791no—
1094C2×#120—791no—
1095C2×#120—791no—
1096C2×C4×Q8—791no—
1097C2×C4×Q8—791no—
1098C2×C4×Q8—791no—
1099C2×C4×Q8—791no—
1100C2×C4×Q8—791no—
1101C2×C4×Q8—791no—
1102C2×C4×Q8C2×D7911yescharacteristic, complemented
1103C2×C4×Q8C2×D7911yescharacteristic, complemented
1104C2×C4×Q8C2×D7911yescharacteristic, complemented
1105C2×C4×D4—791no—
1106C2×C4×D4—791no—
1107C2×C4×D4—791no—
1108C2×C4×D4—791no—
1109C2×C4×D4—791no—
1110C2×C4×D4—791no—
1111C2×C4×D4—791no—
1112C2×C4×D4—791no—
1113C2×C4×D4—791no—
1114C2×C4×D4—791no—
1115C2×C4×D4C2×D7911yescharacteristic
1116C2×#117—791no—
1117C2×#117—791no—
1118C2×#117—791no—
1119C2×#117—791no—
1120C2×#117—791no—
1121C2×#117—791no—
1122C2×#117—791no—
1123C2×#117—791no—
1124C2×#117—791no—
1125C2×#117—791no—
1126C2×#117C2×D7911yescharacteristic
1127C2×#117C2×D7911yescharacteristic, complemented
1128C22×C4⋊C4—791no—
1129C22×C4⋊C4—791no—
1130C22×C4⋊C4—791no—
1131C22×C4⋊C4—791no—
1132C22×C4⋊C4—791no—
1133C22×C22⋊C4—791no—
1134C22×C22⋊C4—791no—
1135C22×C22⋊C4—791no—
1136C22×C22⋊C4—791no—
1137C22×C22⋊C4—791no—
1138C22×C42—791no—
1139C25—791no—
1140C22×Q8—791no—
1141C22×Q8—791no—
1142C22×Q8—791no—
1143C22×Q8—791no—
1144C22×Q8—791no—
1145C22×Q8—791no—
1146C22×Q8C22×D7911yescharacteristic
1147C22×Q8C22×D7911yescharacteristic
1148C22×Q8C22×D7911yescharacteristic
1149C22×D4—791no—
1150C22×D4—791no—
1151C22×D4—791no—
1152C22×D4—791no—
1153C22×D4—791no—
1154C22×D4—791no—
1155C22×D4C22×D7911yescharacteristic
1156C23×C4—791no—
1157C23×C4—791no—
1158C23×C4—791no—
1159C23×C4—791no—
1160C23×C4—791no—
1161C23×C4—791no—
1162C23×C4—791no—
1163C23×C4—791no—
1164C23×C4—791no—
1165C23×C4—791no—
1166C23×C4—791no—
1167C23×C4—791no—
1168C23×C4—791no—
1169C23×C4—791no—
1170C23×C4C22×D7911yescharacteristic
1171C23×C4C22×D7911yescharacteristic
1172C4⋊Q8—798no—
1173C4⋊Q8—798no—
1174C4⋊Q8—798no—
1175C4⋊Q8—798no—
1176C4⋊Q8—798no—
1177C4⋊Q8—798no—
1178C4⋊Q8—798no—
1179C4⋊Q8C22×D7918yescomplemented
1180#126—798no—
1181#126—798no—
1182#126—798no—
1183#126—798no—
1184#126—798no—
1185#126—798no—
1186#126—798no—
1187#126—798no—
1188#126—798no—
1189#126—798no—
1190#126—798no—
1191#126—798no—
1192#126—798no—
1193#126—798no—
1194#126—798no—
1195#126—798no—
1196#126—798no—
1197#126—798no—
1198#126—798no—
1199#126—798no—
1200#126—798no—
1201#126—798no—
1202#126C22×D7918yes—
1203#126C22×D7918yes—
1204#126C22×D7918yescomplemented
1205#126C22×D7918yescomplemented
1206#125—798no—
1207#125—798no—
1208#125—798no—
1209#125—798no—
1210#125—798no—
1211#125—798no—
1212#125—798no—
1213#125—798no—
1214#125—798no—
1215#125—798no—
1216#125—798no—
1217#125—798no—
1218#125—798no—
1219#125—798no—
1220#125—798no—
1221#125—798no—
1222#125—798no—
1223#125—798no—
1224#125—798no—
1225#124—798no—
1226#124—798no—
1227#124—798no—
1228#124—798no—
1229#124—798no—
1230#124C22×D7918yes—
1231#124C22×D7918yes—
1232#123—798no—
1233#123—798no—
1234#123—798no—
1235#123—798no—
1236#123—798no—
1237#123—798no—
1238#123—798no—
1239#123—798no—
1240#123—798no—
1241#123—798no—
1242#123—798no—
1243#123—798no—
1244#123—798no—
1245#123—798no—
1246#123—798no—
1247#123—798no—
1248C22⋊Q8—798no—
1249C22⋊Q8—798no—
1250C22⋊Q8—798no—
1251C22⋊Q8—798no—
1252C22⋊Q8—798no—
1253C22⋊Q8—798no—
1254C22⋊Q8—798no—
1255C22⋊Q8—798no—
1256C22⋊Q8—798no—
1257C22⋊Q8—798no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8—798no—
1264C22⋊Q8—798no—
1265C22⋊Q8—798no—
1266C22⋊Q8—798no—
1267C22⋊Q8—798no—
1268C22⋊Q8—798no—
1269C22⋊Q8—798no—
1270C22⋊Q8—798no—
1271C22⋊Q8—798no—
1272C22⋊Q8—798no—
1273C22⋊Q8—798no—
1274C22⋊Q8—798no—
1275C22⋊Q8—798no—
1276C22⋊Q8—798no—
1277C22⋊Q8C22×D7918yes—
1278C22⋊Q8C22×D7918yescomplemented
1279#121—798no—
1280#121—798no—
1281#121—798no—
1282#120—798no—
1283#120—798no—
1284C4×Q8—798no—
1285C4×Q8—798no—
1286C4×Q8—798no—
1287C4×Q8—798no—
1288C4×Q8—798no—
1289C4×Q8—798no—
1290C4×Q8C22×D7918yescomplemented
1291C4×Q8C22×D7918yescomplemented
1292C4×Q8C22×D7918yescomplemented
1293C4×D4—798no—
1294C4×D4—798no—
1295C4×D4—798no—
1296C4×D4—798no—
1297C4×D4—798no—
1298C4×D4—798no—
1299C4×D4—798no—
1300C4×D4—798no—
1301C4×D4—798no—
1302C4×D4—798no—
1303C4×D4C22×D7918yes—
1304#117—798no—
1305#117—798no—
1306#117—798no—
1307#117—798no—
1308#117—798no—
1309#117—798no—
1310#117—798no—
1311#117—798no—
1312#117—798no—
1313#117—798no—
1314#117C22×D7918yes—
1315#117C22×D7918yescomplemented
1316C2×C4⋊C4—791no—
1317C2×C4⋊C4—791no—
1318C2×C4⋊C4—791no—
1319C2×C4⋊C4—791no—
1320C2×C4⋊C4—791no—
1321C2×C4⋊C4—791no—
1322C2×C4⋊C4—791no—
1323C2×C4⋊C4—791no—
1324C2×C4⋊C4—791no—
1325C2×C4⋊C4—791no—
1326C2×C4⋊C4—791no—
1327C2×C4⋊C4—791no—
1328C2×C4⋊C4—791no—
1329C2×C4⋊C4—791no—
1330C2×C4⋊C4—791no—
1331C2×C4⋊C4—798no—
1332C2×C4⋊C4—791no—
1333C2×C4⋊C4—791no—
1334C2×C4⋊C4—791no—
1335C2×C4⋊C4—791no—
1336C2×C4⋊C4—791no—
1337C2×C4⋊C4—791no—
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—791no—
1340C2×C4⋊C4—791no—
1341C2×C4⋊C4—791no—
1342C2×C4⋊C4—791no—
1343C2×C4⋊C4—791no—
1344C2×C4⋊C4—791no—
1345C2×C4⋊C4—791no—
1346C2×C4⋊C4—791no—
1347C2×C4⋊C4—791no—
1348C2×C4⋊C4—791no—
1349C2×C4⋊C4—791no—
1350C2×C4⋊C4—791no—
1351C2×C4⋊C4—791no—
1352C2×C4⋊C4—791no—
1353C2×C4⋊C4—791no—
1354C2×C4⋊C4—791no—
1355C2×C4⋊C4—791no—
1356C2×C4⋊C4—791no—
1357C2×C4⋊C4—791no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—791no—
1361C2×C4⋊C4—791no—
1362C2×C4⋊C4—791no—
1363C2×C4⋊C4—791no—
1364C2×C4⋊C4—791no—
1365C2×C4⋊C4—791no—
1366C2×C4⋊C4—791no—
1367C2×C4⋊C4—798no—
1368C2×C4⋊C4—798no—
1369C2×C4⋊C4—798no—
1370C2×C4⋊C4—798no—
1371C2×C4⋊C4C22×D7911yescharacteristic
1372C2×C4⋊C4C22×D7911yescharacteristic
1373C2×C4⋊C4C22×D7911yescharacteristic
1374C2×C4⋊C4C22×D7911yescharacteristic
1375C2×C4⋊C4C22×D7911yescharacteristic
1376C2×C4⋊C4C22×D7911yescharacteristic
1377C2×C4⋊C4C22×D7911yescharacteristic
1378C2×C4⋊C4C22×D7911yescharacteristic
1379C2×C4⋊C4C22×D7911yescharacteristic
1380C2×C4⋊C4C22×D7911yescharacteristic
1381C2×C4⋊C4C22×D7911yescharacteristic
1382C2×C4⋊C4C22×D7911yescharacteristic
1383C2×C22⋊C4—791no—
1384C2×C22⋊C4—791no—
1385C2×C22⋊C4—791no—
1386C2×C22⋊C4—791no—
1387C2×C22⋊C4—791no—
1388C2×C22⋊C4—791no—
1389C2×C22⋊C4—791no—
1390C2×C22⋊C4—791no—
1391C2×C22⋊C4—791no—
1392C2×C22⋊C4—791no—
1393C2×C22⋊C4—791no—
1394C2×C22⋊C4—791no—
1395C2×C22⋊C4—791no—
1396C2×C22⋊C4—791no—
1397C2×C22⋊C4—791no—
1398C2×C22⋊C4—791no—
1399C2×C22⋊C4—791no—
1400C2×C22⋊C4—791no—
1401C2×C22⋊C4—791no—
1402C2×C22⋊C4—791no—
1403C2×C22⋊C4—798no—
1404C2×C22⋊C4—791no—
1405C2×C22⋊C4—791no—
1406C2×C22⋊C4—791no—
1407C2×C22⋊C4—791no—
1408C2×C22⋊C4—791no—
1409C2×C22⋊C4—791no—
1410C2×C22⋊C4—791no—
1411C2×C22⋊C4—791no—
1412C2×C22⋊C4—791no—
1413C2×C22⋊C4—791no—
1414C2×C22⋊C4—791no—
1415C2×C22⋊C4—791no—
1416C2×C22⋊C4—798no—
1417C2×C22⋊C4—798no—
1418C2×C22⋊C4—798no—
1419C2×C22⋊C4—798no—
1420C2×C22⋊C4C22×D7911yescharacteristic
1421C2×C22⋊C4C22×D7911yescharacteristic
1422C2×C22⋊C4C22×D7911yescharacteristic
1423C2×C22⋊C4C22×D7911yescharacteristic
1424C2×C22⋊C4C22×D7911yescharacteristic
1425C2×C22⋊C4C22×D7911yescharacteristic
1426C2×C22⋊C4C22×D7911yescharacteristic
1427C2×C22⋊C4C22×D7911yescharacteristic
1428C2×C22⋊C4C22×D7911yescharacteristic
1429C2×C22⋊C4C22×D7911yescharacteristic
1430C2×C42—791no—
1431C2×C42—791no—
1432C2×C42—791no—
1433C2×C42—791no—
1434C2×C42—791no—
1435C2×C42—791no—
1436C2×C42—791no—
1437C2×C42—791no—
1438C2×C42—791no—
1439C2×C42—791no—
1440C2×C42—791no—
1441C2×C42—798no—
1442C2×C42C22×D7911yescharacteristic
1443C2×C42C22×D7911yescharacteristic
1444C2×C42C22×D7911yescharacteristic
1445C2×C42C22×D7911yescharacteristic
1446C2×C42C22×D7911yescharacteristic
1447C2×C42C22×D7911yescharacteristic
1448C2×C42C22×D7911yescharacteristic
1449C24—3162no—
1450C24—3162no—
1451C24—794no—
1452C24—791no—
1453C24—791no—
1454C24—791no—
1455C24—1584no—
1456C24C23×D7911yescharacteristic
1457C24C23×D7911yescharacteristic
1458C2×Q8—42no—
1459C2×Q8—42no—
1460C2×Q8—42no—
1461C2×Q8—3162no—
1462C2×Q8—3162no—
1463C2×Q8—3162no—
1464C2×Q8—3162no—
1465C2×Q8—3162no—
1466C2×Q8—3162no—
1467C2×Q8—794no—
1468C2×Q8—794no—
1469C2×Q8—794no—
1470C2×Q8—794no—
1471C2×Q8—794no—
1472C2×Q8—794no—
1473C2×Q8C23×D7914yes—
1474C2×Q8C23×D7914yes—
1475C2×Q8C23×D7914yes—
1476C2×D4—42no—
1477C2×D4—3162no—
1478C2×D4—3162no—
1479C2×D4—3162no—
1480C2×D4—3162no—
1481C2×D4—794no—
1482C2×D4—794no—
1483C2×D4—794no—
1484C2×D4—794no—
1485C2×D4—794no—
1486C2×D4—794no—
1487C2×D4—1584no—
1488C2×D4—1584no—
1489C2×D4C23×D7914yes—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—3162no—
1493C22×C4—3162no—
1494C22×C4—3162no—
1495C22×C4—3162no—
1496C22×C4—3162no—
1497C22×C4—3162no—
1498C22×C4—3162no—
1499C22×C4—3162no—
1500C22×C4—3162no—
1501C22×C4—3162no—
1502C22×C4—3162no—
1503C22×C4—3162no—
1504C22×C4—794no—
1505C22×C4—794no—
1506C22×C4—794no—
1507C22×C4—794no—
1508C22×C4—794no—
1509C22×C4—794no—
1510C22×C4—794no—
1511C22×C4—794no—
1512C22×C4—794no—
1513C22×C4—794no—
1514C22×C4—794no—
1515C22×C4—794no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—791no—
1520C22×C4—791no—
1521C22×C4—791no—
1522C22×C4—791no—
1523C22×C4—791no—
1524C22×C4—791no—
1525C22×C4—791no—
1526C22×C4—791no—
1527C22×C4—791no—
1528C22×C4—791no—
1529C22×C4—794no—
1530C22×C4—794no—
1531C22×C4—1584no—
1532C22×C4—1584no—
1533C22×C4C23×D7911yescharacteristic
1534C22×C4C23×D7911yescharacteristic
1535C22×C4C23×D7911yescharacteristic
1536C22×C4C23×D7911yescharacteristic
1537C22×C4C23×D7911yescharacteristic
1538C22×C4C23×D7911yescharacteristic
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541C22×C4C23×D7911yescharacteristic
1542C22×C4C23×D7911yescharacteristic
1543C22×C4C23×D7911yescharacteristic
1544C22×C4C23×D7911yescharacteristic
1545C22×C4C23×D7911yescharacteristic
1546C22×C4C23×D7914yes—
1547C22×C4C23×D7914yes—
1548C4⋊C4—794no—
1549C4⋊C4—794no—
1550C4⋊C4—794no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4—794no—
1559C4⋊C4—794no—
1560C4⋊C4—794no—
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4—794no—
1567C4⋊C4—794no—
1568C4⋊C4—794no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—794no—
1572C4⋊C4—794no—
1573C4⋊C4—794no—
1574C4⋊C4—794no—
1575C4⋊C4—794no—
1576C4⋊C4—794no—
1577C4⋊C4—794no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
1580C4⋊C4—794no—
1581C4⋊C4—794no—
1582C4⋊C4—794no—
1583C4⋊C4—794no—
1584C4⋊C4—794no—
1585C4⋊C4—794no—
1586C4⋊C4—794no—
1587C4⋊C4—794no—
1588C4⋊C4—794no—
1589C4⋊C4—794no—
1590C4⋊C4—794no—
1591C4⋊C4—794no—
1592C4⋊C4—794no—
1593C4⋊C4—794no—
1594C4⋊C4—794no—
1595C4⋊C4—794no—
1596C4⋊C4—794no—
1597C4⋊C4—794no—
1598C4⋊C4C23×D7914yes—
1599C4⋊C4C23×D7914yes—
1600C4⋊C4C23×D7914yes—
1601C4⋊C4C23×D7914yes—
1602C4⋊C4C23×D7914yes—
1603C4⋊C4C23×D7914yes—
1604C4⋊C4C23×D7914yes—
1605C4⋊C4C23×D7914yes—
1606C4⋊C4C23×D7914yes—
1607C4⋊C4C23×D7914yes—
1608C4⋊C4C23×D7914yes—
1609C4⋊C4C23×D7914yes—
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—794no—
1622C22⋊C4—794no—
1623C22⋊C4—794no—
1624C22⋊C4—794no—
1625C22⋊C4—794no—
1626C22⋊C4—794no—
1627C22⋊C4—794no—
1628C22⋊C4—794no—
1629C22⋊C4—794no—
1630C22⋊C4—794no—
1631C22⋊C4—794no—
1632C22⋊C4—794no—
1633C22⋊C4—794no—
1634C22⋊C4—794no—
1635C22⋊C4—794no—
1636C22⋊C4—794no—
1637C22⋊C4—794no—
1638C22⋊C4—794no—
1639C22⋊C4—794no—
1640C22⋊C4—794no—
1641C22⋊C4—794no—
1642C22⋊C4C23×D7914yes—
1643C22⋊C4C23×D7914yes—
1644C22⋊C4C23×D7914yes—
1645C22⋊C4C23×D7914yes—
1646C22⋊C4C23×D7914yes—
1647C22⋊C4C23×D7914yes—
1648C22⋊C4C23×D7914yes—
1649C22⋊C4C23×D7914yes—
1650C22⋊C4C23×D7914yes—
1651C22⋊C4C23×D7914yes—
1652C42—794no—
1653C42—794no—
1654C42—794no—
1655C42—794no—
1656C42—794no—
1657C42—794no—
1658C42—794no—
1659C42—794no—
1660C42—794no—
1661C42—794no—
1662C42—794no—
1663C42C23×D7914yes—
1664C42C23×D7914yes—
1665C42C23×D7914yes—
1666C42C23×D7914yes—
1667C42C23×D7914yes—
1668C42C23×D7914yes—
1669C42C23×D7914yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—3164no—
1677C23—3164no—
1678C23—794no—
1679C23—792no—
1680C23—792no—
1681C23—792no—
1682C23—6328no—
1683C23—1588no—
1684C23—1582no—
1685C23—1582no—
1686C23—1582no—
1687C23—1582no—
1688C23—1582no—
1689C23—1582no—
1690C23—1582no—
1691C23—1582no—
1692C23C24×D7912yes—
1693C23C24×D7912yes—
1694C23C24×D7911yescharacteristic
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698Q8—3164no—
1699Q8—3164no—
1700Q8—3164no—
1701Q8—3164no—
1702Q8—3164no—
1703Q8—3164no—
1704D4—44no—
1705D4—3164no—
1706D4—3164no—
1707D4—3164no—
1708D4—3164no—
1709D4—1588no—
1710D4—1588no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—3164no—
1727C2×C4—3164no—
1728C2×C4—3164no—
1729C2×C4—3164no—
1730C2×C4—3164no—
1731C2×C4—3164no—
1732C2×C4—3164no—
1733C2×C4—3164no—
1734C2×C4—3164no—
1735C2×C4—3164no—
1736C2×C4—3164no—
1737C2×C4—3164no—
1738C2×C4—792no—
1739C2×C4—792no—
1740C2×C4—792no—
1741C2×C4—792no—
1742C2×C4—792no—
1743C2×C4—792no—
1744C2×C4—792no—
1745C2×C4—792no—
1746C2×C4—792no—
1747C2×C4—792no—
1748C2×C4—792no—
1749C2×C4—792no—
1750C2×C4—792no—
1751C2×C4—1588no—
1752C2×C4—1588no—
1753C2×C4—1582no—
1754C2×C4—1582no—
1755C2×C4—1582no—
1756C2×C4—1582no—
1757C2×C4—1582no—
1758C2×C4—1582no—
1759C2×C4—1582no—
1760C2×C4—1582no—
1761C2×C4—1582no—
1762C2×C4—1582no—
1763C2×C4—1582no—
1764C2×C4—1582no—
1765C2×C4—1582no—
1766C2×C4C24×D7912yes—
1767C2×C4C24×D7912yes—
1768C2×C4C24×D7912yes—
1769C2×C4C24×D7912yes—
1770C2×C4C24×D7912yes—
1771C2×C4C24×D7912yes—
1772C2×C4C24×D7912yes—
1773C2×C4C24×D7912yes—
1774C2×C4C24×D7912yes—
1775C2×C4C24×D7912yes—
1776C2×C4C24×D7912yes—
1777C2×C4C24×D7912yes—
1778C2×C4C24×D7912yes—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—3164no—
1788C22—3164no—
1789C22—794no—
1790C22—6328no—
1791C22—1582no—
1792C22—1582no—
1793C22—1582no—
1794C22—1582no—
1795C22—1582no—
1796C22—1582no—
1797C22—1582no—
1798C22—1582no—
1799C22—1588no—
1800C222−1+4×D7912yes—
1801C22#1909939912yes—
1802C22#1909939912yes—
1803C22C25×D7911yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—1582no—
1818C4—1582no—
1819C4—1582no—
1820C4—1582no—
1821C4—1582no—
1822C4—1582no—
1823C4—1582no—
1824C4—1582no—
1825C4—1582no—
1826C4—1582no—
1827C4—1582no—
1828C4—1582no—
1829C4—1582no—
1830C2—42no—
1831C2—42no—
1832C2—3162no—
1833C2—3162no—
1834C2—1584no—
1835C2#2377801914yesdirect product factor
1836C2C2×2−1+4×D7911yescharacteristic
1837C2C2×#1909939911yescharacteristic
1838C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#556×C79C2
socleC23×C79C25
prime radicalC2×#19099147C2
hypercenterC2×#556D79
hypocenterC79C2×#3564
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
1. #23778019C2direct (N × H)
2. C2×#19099315C2semidirect
3. C2×#19099314C2semidirect
4. C2×#19099313C2semidirect
5. C2×#19099312C2semidirect
6. C2×#19099285C2semidirect
7. C2×#19099273C2semidirect
8. C2×#19099267C2semidirect
9. C2×#19099254C2semidirect
10. C2×#19099249C2semidirect
11. C2×#19099249C2semidirect
12. C2×#19099246C2semidirect
13. C2×#19099243C2semidirect
14. C2×#19099242C2semidirect
15. C2×#19099238C2semidirect
16. C2×#19099237C2semidirect
17. C2×#19099190C2semidirect
18. C2×#19099188C2semidirect
19. C2×#19099179C2semidirect
20. C2×#19099177C2semidirect
21. C2×#19099175C2semidirect
22. C2×#19099171C2semidirect
23. C2×#19099171C2semidirect
24. C2×#19099170C2semidirect
25. C2×#19099159C2semidirect
26. C2×#19099155C2semidirect
27. C2×#19099154C2semidirect
29. C2×#19099117C2semidirect
30. C2×#19099091C2semidirect
31. C2×#126×D79C2semidirect
32. C2×#556×C79C2semidirect
33. #19099315C22semidirect
34. #19099314C22semidirect
35. #19099313C22semidirect
36. #19099312C22semidirect
37. #19099285C22semidirect
38. #19099273C22semidirect
39. #19099267C22semidirect
40. #19099254C22semidirect
41. #19099249C22semidirect
42. #19099249C22semidirect
43. #19099246C22semidirect
44. #19099243C22semidirect
45. #19099242C22semidirect
46. #19099238C22semidirect
47. #19099237C22semidirect
48. #19099190C22semidirect
49. #19099188C22semidirect
50. #19099179C22semidirect
51. #19099177C22semidirect
52. #19099175C22semidirect
53. #19099171C22semidirect
54. #19099171C22semidirect
55. #19099170C22semidirect
56. #19099159C22semidirect
57. #19099155C22semidirect
58. #19099154C22semidirect
60. #19099117C22semidirect
61. C2×#14579161C22semidirect
62. C2×#14579160C22semidirect
63. C2×#14579160C22semidirect
64. C2×#14579159C22semidirect
65. C2×#14579159C22semidirect
66. C2×#14579159C22semidirect
67. C2×#14579159C22semidirect
68. #19099091C22semidirect
74. C2×#14579156C22semidirect
75. C2×#14579156C22semidirect
80. C2×#14579155C22semidirect
81. C2×#14579155C22semidirect
89. C2×#14579154C22semidirect
90. C2×#14579154C22semidirect
91. #126×D79C22semidirect
92. C2×#14579153C22semidirect
93. C2×#14579153C22semidirect
94. C2×#14579153C22semidirect
95. C2×#14579153C22semidirect
96. C2×#14579153C22semidirect
97. C2×#14579152C22semidirect
98. C2×#14579152C22semidirect
99. C2×#14579152C22semidirect
100. C2×#14579151C22semidirect
101. C2×#14579151C22semidirect
102. C2×#14579151C22semidirect
103. C2×#14579151C22semidirect
104. C2×#14579151C22semidirect
105. C2×#14579151C22semidirect
106. C2×#14579151C22semidirect
107. C2×#14579151C22semidirect
108. C2×#14579151C22semidirect
109. C2×#14579151C22semidirect
110. C2×#14579151C22semidirect
115. C2×#14579147C22semidirect
121. C2×#14579145C22semidirect
129. C2×#14579143C22semidirect
144. C2×#14579139C22semidirect
145. C2×#14579139C22semidirect
146. C2×#14579139C22semidirect
150. C2×#14579138C22semidirect
151. C2×#14579138C22semidirect
152. C2×#14579138C22semidirect
153. C2×#14579138C22semidirect
159. C2×#14579137C22semidirect
160. C2×#14579137C22semidirect
166. C2×C4×Dic158C22semidirect
167. C2×C4×Dic158C22semidirect
168. C2×C4×Dic158C22semidirect
169. C2×C4×Dic158C22semidirect
170. C2×C4×Dic158C22semidirect
171. C2×#14579126C22semidirect
177. C2×C4×C22⋊D79C22semidirect
183. C2×#14579119C22semidirect
189. C2×#14579118C22semidirect
191. C2×#14579117C22semidirect
192. C22×Dic79⋊C4C22semidirect
196. C2×C4⋊C4×D79C22semidirect
203. #556×C79C22semidirect
204. C2×C4⋊Q8×C79C22semidirect
207. C2×#126×C79C22semidirect
208. C2×#126×C79C22semidirect
212. C2×C22⋊Q8×C79C22semidirect
213. C2×C4×Q8×C79C22semidirect
214. C2×C4×Q8×C79C22semidirect
215. C2×C4×Q8×C79C22semidirect
218. C2×#117×C79C22semidirect
246. #14579161C23semidirect
247. #14579160C23semidirect
248. #14579160C23semidirect
249. #14579159C23semidirect
250. #14579159C23semidirect
251. #14579159C23semidirect
252. #14579159C23semidirect
258. #14579156C23semidirect
259. #14579156C23semidirect
264. #14579155C23semidirect
265. #14579155C23semidirect
273. #14579154C23semidirect
274. #14579154C23semidirect
275. #14579153C23semidirect
276. #14579153C23semidirect
277. #14579153C23semidirect
278. #14579153C23semidirect
279. #14579153C23semidirect
280. #14579152C23semidirect
281. #14579152C23semidirect
282. #14579152C23semidirect
283. #14579151C23semidirect
284. #14579151C23semidirect
285. #14579151C23semidirect
286. #14579151C23semidirect
287. #14579151C23semidirect
288. #14579151C23semidirect
289. #14579151C23semidirect
290. #14579151C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
298. #14579147C23semidirect
304. #14579145C23semidirect
312. #14579143C23semidirect
327. #14579139C23semidirect
328. #14579139C23semidirect
329. #14579139C23semidirect
333. #14579138C23semidirect
334. #14579138C23semidirect
335. #14579138C23semidirect
336. #14579138C23semidirect
342. #14579137C23semidirect
343. #14579137C23semidirect
349. C4×Dic158C23semidirect
350. C4×Dic158C23semidirect
351. C4×Dic158C23semidirect
352. C4×Dic158C23semidirect
353. C4×Dic158C23semidirect
354. #14579126C23semidirect
360. C4×C22⋊D79C23semidirect
366. #14579119C23semidirect
372. #14579118C23semidirect
374. #14579117C23semidirect
425. C2×Dic79⋊C4C23semidirect
429. C4⋊C4×D79C23semidirect
485. C4⋊Q8×C79C23semidirect
488. #126×C79C23semidirect
489. #126×C79C23semidirect
493. C22⋊Q8×C79C23semidirect
494. C4×Q8×C79C23semidirect
495. C4×Q8×C79C23semidirect
496. C4×Q8×C79C23semidirect
499. #117×C79C23semidirect
913. C2×C79#3564semidirect
926. C2×#556D79semidirect
952. C79C2×#3564semidirect
958. #556C2×D79semidirect
989. C2×C4⋊Q8C2×D79semidirect
1016. C2×#126C2×D79semidirect
1017. C2×#126C2×D79semidirect
1090. C2×C22⋊Q8C2×D79semidirect
1102. C2×C4×Q8C2×D79semidirect
1103. C2×C4×Q8C2×D79semidirect
1104. C2×C4×Q8C2×D79semidirect
1127. C2×#117C2×D79semidirect
1179. C4⋊Q8C22×D79semidirect
1204. #126C22×D79semidirect
1205. #126C22×D79semidirect
1278. C22⋊Q8C22×D79semidirect
1290. C4×Q8C22×D79semidirect
1291. C4×Q8C22×D79semidirect
1292. C4×Q8C22×D79semidirect
1315. #117C22×D79semidirect
1835. C2#23778019direct (N × H)

Maximal subgroups

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

subgroupindex
#237780192
C2×#190993152
C2×#190993142
C2×#190993132
C2×#190993122
C2×#190992852
C2×#190992732
C2×#190992672
C2×#190992542
C2×#190992492
C2×#190992462
C2×#190992432
C2×#190992422
C2×#190992382
C2×#190992372
C2×#190991902
C2×#190991882
C2×#190991792
C2×#190991772
C2×#190991752
C2×#190991712
C2×#190991702
C2×#190991592
C2×#190991552
C2×#190991542
C2×#190991472
C2×#190991172
C2×#190990912
C2×#126×D792
C2×#556×C792
C2×#356479