Finite Group Databasebeta

← C2×#23777599 #35195467

Subgroups — C2×#23777599 #35195467

Order 20224.

7302 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777599C2132yesmaximal, direct product factor
2C2×#19099314C211yesmaximal, characteristic, complemented
3C2×#19099312C211yesmaximal, characteristic, complemented
4C2×#19099309C211yesmaximal, characteristic, complemented
5C2×#19099307C211yesmaximal, characteristic, complemented
6C2×#19099274C211yesmaximal, characteristic, complemented
7C2×#19099267C211yesmaximal, characteristic, complemented
8C2×#19099250C211yesmaximal, characteristic, complemented
9C2×#19099246C211yesmaximal, characteristic, complemented
10C2×#19099243C211yesmaximal, characteristic, complemented
11C2×#19099240C211yesmaximal, characteristic, complemented
12C2×#19099237C211yesmaximal, characteristic, complemented
13C2×#19099236C211yesmaximal, characteristic, complemented
14C2×#19099212C211yesmaximal, characteristic, complemented
15C2×#19099211C211yesmaximal, characteristic, complemented
16C2×#19099205C211yesmaximal, characteristic, complemented
17C2×#19099201C211yesmaximal, characteristic, complemented
18C2×#19099190C211yesmaximal, characteristic, complemented
19C2×#19099188C211yesmaximal, characteristic, complemented
20C2×#19099187C211yesmaximal, characteristic, complemented
21C2×#19099177C211yesmaximal, characteristic, complemented
22C2×#19099162C211yesmaximal, characteristic, complemented
23C2×#19099159C211yesmaximal, characteristic, complemented
24C2×#19099159C211yesmaximal, characteristic, complemented
25C2×#19099157C211yesmaximal, characteristic, complemented
26C2×#19099157C211yesmaximal, characteristic, complemented
27C2×#19099147C211yesmaximal, characteristic, complemented
28C2×#19099137C211yesmaximal, characteristic, complemented
29C2×#19099071C211yesmaximal, characteristic, complemented
30C2×#123×D79C211yesmaximal, characteristic, complemented
31C22×#14579137C211yesmaximal, characteristic, complemented
32C2×#536×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic
34C22×#11929623C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic
36C23×C4×D79C2211yescharacteristic
37#19099314C22116yescomplemented
38#19099312C22116yescomplemented
39#19099309C22116yescomplemented
40#19099307C22116yescomplemented
41#19099274C22116yescomplemented
42#19099267C22116yescomplemented
43#19099250C22116yescomplemented
44#19099246C22116yescomplemented
45#19099243C22116yescomplemented
46#19099240C22116yescomplemented
47#19099237C22116yescomplemented
48#19099236C22116yescomplemented
49#19099212C22116yescomplemented
50#19099211C22116yescomplemented
51#19099205C22116yescomplemented
52#19099201C22116yescomplemented
53#19099190C22116yescomplemented
54#19099188C22116yescomplemented
55#19099187C22116yescomplemented
56#19099177C22116yescomplemented
57#19099162C22116yescomplemented
58#19099159C22116yescomplemented
59#19099159C22116yescomplemented
60#19099157C22116yescomplemented
61#19099157C22116yescomplemented
62#19099147C22116yescomplemented
63#19099137C22116yescomplemented
64C2×#14579160C2211yescharacteristic, complemented
65C2×#14579159C2211yescharacteristic, complemented
66C2×#14579159C2211yescharacteristic, complemented
67C2×#14579159C2211yescharacteristic, complemented
68C2×#14579156C2211yescharacteristic, complemented
69C2×#14579156C2211yescharacteristic, complemented
70C2×#14579156C2211yescharacteristic, complemented
71C2×#14579156C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579156C2211yescharacteristic, complemented
74C2×#14579155C2211yescharacteristic, complemented
75C2×#14579155C2211yescharacteristic, complemented
76C2×#14579154C2211yescharacteristic, complemented
77C2×#14579154C2211yescharacteristic, complemented
78C2×#14579154C2211yescharacteristic, complemented
79C2×#14579154C2211yescharacteristic, complemented
80C2×#14579153C2211yescharacteristic, complemented
81C2×#14579152C2211yescharacteristic, complemented
82C2×#14579152C2211yescharacteristic, complemented
83C2×#14579152C2211yescharacteristic, complemented
84C2×#14579151C2211yescharacteristic, complemented
85C2×#14579151C2211yescharacteristic, complemented
86C2×#14579151C2211yescharacteristic, complemented
87C2×#14579151C2211yescharacteristic, complemented
88C2×#14579151C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579150C2211yescharacteristic
91C2×#14579150C2211yescharacteristic, complemented
92C2×#14579150C2211yescharacteristic, complemented
93C2×#14579149C2211yescharacteristic, complemented
94C2×#14579147C2211yescharacteristic
95C2×#14579147C2211yescharacteristic, complemented
96#19099071C22116yescomplemented
97C2×#14579146C2211yescharacteristic
98C2×#14579146C2211yescharacteristic
99C2×#14579146C2211yescharacteristic
100C2×#14579146C2211yescharacteristic
101C2×#14579146C2211yescharacteristic, complemented
102C2×#14579146C2211yescharacteristic, complemented
103C2×#14579145C2211yescharacteristic
104C2×#14579145C2211yescharacteristic, complemented
105C2×#14579145C2211yescharacteristic, complemented
106C2×#14579145C2211yescharacteristic, complemented
107C2×#14579144C2211yescharacteristic
108C2×#14579144C2211yescharacteristic
109C2×#14579144C2211yescharacteristic
110C2×#14579144C2211yescharacteristic, complemented
111C2×#14579144C2211yescharacteristic, complemented
112C2×#14579144C2211yescharacteristic, complemented
113C2×#14579143C2211yescharacteristic
114C2×#14579143C2211yescharacteristic
115C2×#14579143C2211yescharacteristic
116C2×#14579143C2211yescharacteristic, complemented
117C2×#14579143C2211yescharacteristic, complemented
118C2×#14579143C2211yescharacteristic, complemented
119C2×#14579142C2211yescharacteristic
120C2×#14579142C2211yescharacteristic, complemented
121#123×D79C22116yescomplemented
122C2×#14579141C2211yescharacteristic
123C2×#14579141C2211yescharacteristic, complemented
124C2×#14579141C2211yescharacteristic, complemented
125C2×#14579140C2211yescharacteristic, complemented
126C2×#14579139C2211yescharacteristic
127C2×#14579139C2211yescharacteristic
128C2×#14579139C2211yescharacteristic
129C2×#14579139C2211yescharacteristic, complemented
130C2×#14579139C2211yescharacteristic, complemented
131C2×#14579139C2211yescharacteristic, complemented
132C2×#14579138C2211yescharacteristic, complemented
133C2×#14579138C2211yescharacteristic, complemented
134C2×#14579138C2211yescharacteristic, complemented
135C2×#14579138C2211yescharacteristic, complemented
136C2×#14579138C2211yescharacteristic, complemented
137C2×#14579138C2211yescharacteristic, complemented
138C2×#14579137C2211yescharacteristic
139C2×#14579137C2211yescharacteristic
140C2×#14579137C2211yescharacteristic
141C2×#14579137C2211yescharacteristic
142C2×#14579137C2211yescharacteristic
143C2×#14579137C2211yescharacteristic, complemented
144C2×#14579137C2211yescharacteristic, complemented
145C2×#14579137C2211yescharacteristic, complemented
146C2×#14579137C2211yescharacteristic, complemented
147C2×#14579137C2211yescharacteristic, complemented
148C2×#14579137C2211yescharacteristic, complemented
149C2×#14579137C2211yescharacteristic, complemented
150C2×#14579137C2211yescharacteristic, complemented
151C2×#14579137C2211yescharacteristic, complemented
152C2×#14579137C22116yescomplemented
153C2×#14579136C2211yescharacteristic
154C2×#14579135C2211yescharacteristic
155C2×#14579134C2211yescharacteristic
156C2×#14579134C2211yescharacteristic
157C2×#14579134C2211yescharacteristic, complemented
158C2×#14579134C2211yescharacteristic, complemented
159C2×#14579133C2211yescharacteristic
160C2×#14579133C2211yescharacteristic
161C2×#14579133C2211yescharacteristic
162C2×#14579133C2211yescharacteristic, complemented
163C2×#14579131C2211yescharacteristic
164C2×#14579131C2211yescharacteristic
165C2×#14579129C2211yescharacteristic
166C2×#14579129C2211yescharacteristic
167C2×C4×Dic158C2211yescharacteristic, complemented
168C2×#14579126C2211yescharacteristic, complemented
169C2×C4×D316C2211yescharacteristic
170C2×D4×Dic79C2211yescharacteristic
171C2×D4×Dic79C2211yescharacteristic, complemented
172C2×#14579123C2211yescharacteristic
173C2×#14579123C2211yescharacteristic
174C2×#14579123C2211yescharacteristic, complemented
175C2×C4×C22⋊D79C2211yescharacteristic
176C2×C4×C22⋊D79C2211yescharacteristic, complemented
177C2×(C22⋊D79)⋊C4C2211yescharacteristic
178C2×(C22⋊D79)⋊C4C2211yescharacteristic
179C2×(C22⋊D79)⋊C4C2211yescharacteristic
180C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
182C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
183C2×#14579120C2211yescharacteristic, complemented
184C2×#14579119C2211yescharacteristic
185C2×#14579118C2211yescharacteristic
186C2×#14579118C2211yescharacteristic, complemented
187C2×#14579117C2211yescharacteristic, complemented
188C2×#14579117C2211yescharacteristic, complemented
189C22×C4⋊Dic79C2211yescharacteristic, complemented
190C22×Dic79⋊C4C2211yescharacteristic, complemented
191C22×Dic79⋊C4C2211yescharacteristic, complemented
192C22×Dic79⋊C4C2211yescharacteristic, complemented
193C2×C4⋊C4×D79C2211yescharacteristic
194C2×C4⋊C4×D79C2211yescharacteristic
195C2×C4⋊C4×D79C2211yescharacteristic, complemented
196C22×(C2×D79)⋊C4C2211yescharacteristic
197C22×(C2×D79)⋊C4C2211yescharacteristic
198C22×(C2×D79)⋊C4C2211yescharacteristic
199C2×C22⋊C4×D79C2211yescharacteristic
200C2×C22⋊C4×D79C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203C22×#41×C79C2211yescharacteristic
204C23×Q8×C79C2211yescharacteristic, complemented
205#536×C79C22116yescomplemented
206C2×C4⋊Q8×C79C2211yescharacteristic, complemented
207C2×C4⋊Q8×C79C2211yescharacteristic, complemented
208C2×#124×C79C2211yescharacteristic, complemented
209C2×#124×C79C2211yescharacteristic, complemented
210C2×#123×C79C2211yescharacteristic
211C2×#123×C79C2211yescharacteristic
212C2×#123×C79C2211yescharacteristic, complemented
213C2×#123×C79C2211yescharacteristic, complemented
214C2×C22⋊Q8×C79C2211yescharacteristic, complemented
215C2×C22⋊Q8×C79C2211yescharacteristic, complemented
216C2×C22⋊Q8×C79C2211yescharacteristic, complemented
217C2×C22⋊Q8×C79C2211yescharacteristic, complemented
218C2×#117×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221C2×#11929624—44no—
222C2×#11929624C2318yes—
223C2×#11929623—44no—
224C2×#11929623C2318yescomplemented
225C22×Dic158C2311yescharacteristic
226C22×Dic158C2311yescharacteristic
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×D316C2311yescharacteristic
230C22×D316C2311yescharacteristic
231C22×D316C2311yescharacteristic
232C22×D316C2311yescharacteristic
233C22×C22⋊D79C2311yescharacteristic
234C22×C22⋊D79C2311yescharacteristic
235C22×C22⋊D79C2311yescharacteristic
236C22×C22⋊D79C2311yescharacteristic
237C22×C22⋊D79C2311yescharacteristic
238C22×C22⋊D79C2311yescharacteristic
239C22×C22⋊D79C2311yescharacteristic
240C22×C22⋊D79C2311yescharacteristic
241C2×D4×D79—44no—
242C2×D4×D79C2318yes—
243C23×Dic79C2311yescharacteristic
244C23×Dic79C2311yescharacteristic
245C23×Dic79C2311yescharacteristic
246C23×Dic79C2311yescharacteristic
247C23×Dic79C2311yescharacteristic
248C23×Dic79C2311yescharacteristic
249C22×C4×D79—44no—
250C22×C4×D79C2311yescharacteristic
251C22×C4×D79C2311yescharacteristic
252C22×C4×D79C2311yescharacteristic
253C22×C4×D79C2311yescharacteristic
254C22×C4×D79C2311yescharacteristic
255C22×C4×D79C2311yescharacteristic
256C22×C4×D79C2311yescharacteristic
257C22×C4×D79C2311yescharacteristic
258C22×C4×D79C2311yescharacteristic
259C22×C4×D79C2311yescharacteristic
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2318yes—
263#14579160C2318yescomplemented
264#14579159C2318yescomplemented
265#14579159C2318yescomplemented
266#14579159C2318yescomplemented
267#14579156C2318yescomplemented
268#14579156C2318yescomplemented
269#14579156C2318yescomplemented
270#14579156C2318yescomplemented
271#14579156C2318yescomplemented
272#14579156C2318yescomplemented
273#14579155C2318yescomplemented
274#14579155C2318yescomplemented
275#14579154C2318yescomplemented
276#14579154C2318yescomplemented
277#14579154C2318yescomplemented
278#14579154C2318yescomplemented
279#14579153C2318yescomplemented
280#14579152C2318yescomplemented
281#14579152C2318yescomplemented
282#14579152C2318yescomplemented
283#14579151C2318yescomplemented
284#14579151C2318yescomplemented
285#14579151C2318yescomplemented
286#14579151C2318yescomplemented
287#14579151C2318yescomplemented
288#14579151C2318yescomplemented
289#14579150C2318yes—
290#14579150C2318yescomplemented
291#14579150C2318yescomplemented
292#14579149C2318yescomplemented
293#14579147C2318yes—
294#14579147C2318yescomplemented
295#14579146C2318yes—
296#14579146C2318yes—
297#14579146C2318yes—
298#14579146C2318yes—
299#14579146C2318yescomplemented
300#14579146C2318yescomplemented
301#14579145C2318yes—
302#14579145C2318yescomplemented
303#14579145C2318yescomplemented
304#14579145C2318yescomplemented
305#14579144C2318yes—
306#14579144C2318yes—
307#14579144C2318yes—
308#14579144C2318yescomplemented
309#14579144C2318yescomplemented
310#14579144C2318yescomplemented
311#14579143C2318yes—
312#14579143C2318yes—
313#14579143C2318yes—
314#14579143C2318yescomplemented
315#14579143C2318yescomplemented
316#14579143C2318yescomplemented
317#14579142C2318yes—
318#14579142C2318yescomplemented
319#14579141C2318yes—
320#14579141C2318yescomplemented
321#14579141C2318yescomplemented
322#14579140C2318yescomplemented
323#14579139C2318yes—
324#14579139C2318yes—
325#14579139C2318yes—
326#14579139C2318yescomplemented
327#14579139C2318yescomplemented
328#14579139C2318yescomplemented
329#14579138C2318yescomplemented
330#14579138C2318yescomplemented
331#14579138C2318yescomplemented
332#14579138C2318yescomplemented
333#14579138C2318yescomplemented
334#14579138C2318yescomplemented
335#14579137C2318yes—
336#14579137C2318yes—
337#14579137C2318yes—
338#14579137C2318yes—
339#14579137C2318yes—
340#14579137C2318yescomplemented
341#14579137C2318yescomplemented
342#14579137C2318yescomplemented
343#14579137C2318yescomplemented
344#14579137C2318yescomplemented
345#14579137C2318yescomplemented
346#14579137C2318yescomplemented
347#14579137C2318yescomplemented
348#14579137C2318yescomplemented
349#14579136C2318yes—
350#14579135C2318yes—
351#14579134C2318yes—
352#14579134C2318yes—
353#14579134C2318yescomplemented
354#14579134C2318yescomplemented
355#14579133C2318yes—
356#14579133C2318yes—
357#14579133C2318yes—
358#14579133C2318yescomplemented
359#14579131C2318yes—
360#14579131C2318yes—
361#14579129C2318yes—
362#14579129C2318yes—
363C4×Dic158C2318yescomplemented
364#14579126C2318yescomplemented
365C4×D316C2318yes—
366D4×Dic79C2318yes—
367D4×Dic79C2318yescomplemented
368#14579123C2318yes—
369#14579123C2318yes—
370#14579123C2318yescomplemented
371C4×C22⋊D79C2318yes—
372C4×C22⋊D79C2318yescomplemented
373(C22⋊D79)⋊C4C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2318yes—
376(C22⋊D79)⋊C4C2318yescomplemented
377(C22⋊D79)⋊C4C2318yescomplemented
378(C22⋊D79)⋊C4C2318yescomplemented
379#14579120C2318yescomplemented
380#14579119C2318yes—
381#14579118C2318yes—
382#14579118C2318yescomplemented
383#14579117C2318yescomplemented
384#14579117C2318yescomplemented
385C2×C4⋊Dic79C2311yescharacteristic
386C2×C4⋊Dic79C2311yescharacteristic
387C2×C4⋊Dic79C2311yescharacteristic
388C2×C4⋊Dic79C2311yescharacteristic
389C2×C4⋊Dic79C2311yescharacteristic
390C2×C4⋊Dic79C2311yescharacteristic
391C2×C4⋊Dic79C2311yescharacteristic
392C2×C4⋊Dic79C2311yescharacteristic
393C2×C4⋊Dic79C2311yescharacteristic
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2311yescharacteristic
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2318yescomplemented
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⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2318yescomplemented
427C2×Dic79⋊C4C2318yescomplemented
428C2×Dic79⋊C4C2318yescomplemented
429C4⋊C4×D79C2318yes—
430C4⋊C4×D79C2318yes—
431C4⋊C4×D79C2318yescomplemented
432C2×C22⋊Dic79C2311yescharacteristic
433C2×C22⋊Dic79C2311yescharacteristic
434C2×C22⋊Dic79C2311yescharacteristic
435C2×C22⋊Dic79C2311yescharacteristic
436C2×C22⋊Dic79C2311yescharacteristic
437C2×C22⋊Dic79C2311yescharacteristic
438C2×C22⋊Dic79C2311yescharacteristic
439C2×C22⋊Dic79C2311yescharacteristic
440C2×(C2×D79)⋊C4C2318yes—
441C2×(C2×D79)⋊C4C2318yes—
442C2×(C2×D79)⋊C4C2318yes—
443C2×(C2×D79)⋊C4C2311yescharacteristic
444C2×(C2×D79)⋊C4C2311yescharacteristic
445C2×(C2×D79)⋊C4C2311yescharacteristic
446C2×(C2×D79)⋊C4C2311yescharacteristic
447C2×(C2×D79)⋊C4C2311yescharacteristic
448C2×(C2×D79)⋊C4C2311yescharacteristic
449C2×(C2×D79)⋊C4C2311yescharacteristic
450C2×(C2×D79)⋊C4C2311yescharacteristic
451C2×(C2×D79)⋊C4C2311yescharacteristic
452C2×(C2×D79)⋊C4C2311yescharacteristic
453C2×(C2×D79)⋊C4C2311yescharacteristic
454C2×(C2×D79)⋊C4C2311yescharacteristic
455C2×(C2×D79)⋊C4C2311yescharacteristic
456C2×(C2×D79)⋊C4C2311yescharacteristic
457C2×(C2×D79)⋊C4C2311yescharacteristic
458C2×(C2×D79)⋊C4C2311yescharacteristic
459C2×(C2×D79)⋊C4C2311yescharacteristic
460C2×(C2×D79)⋊C4C2311yescharacteristic
461C2×(C2×D79)⋊C4C2311yescharacteristic
462C2×(C2×D79)⋊C4C2311yescharacteristic
463C2×(C2×D79)⋊C4C2311yescharacteristic
464C2×(C2×D79)⋊C4C2311yescharacteristic
465C2×(C2×D79)⋊C4C2311yescharacteristic
466C2×(C2×D79)⋊C4C2311yescharacteristic
467C2×(C2×D79)⋊C4C2311yescharacteristic
468C2×(C2×D79)⋊C4C2311yescharacteristic
469C2×(C2×D79)⋊C4C2311yescharacteristic
470C2×(C2×D79)⋊C4C2311yescharacteristic
471C22⋊C4×D79C2318yes—
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2318yes—
474C22⋊C4×D79C2318yes—
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×#41×C79—44no—
484C2×#41×C79C2318yes—
485C22×Q8×C79—44no—
486C22×Q8×C79C2311yescharacteristic
487C22×Q8×C79C2311yescharacteristic
488C22×Q8×C79C2311yescharacteristic
489C22×Q8×C79C2311yescharacteristic
490C22×Q8×C79C2311yescharacteristic
491C22×Q8×C79C2318yescomplemented
492C22×D4×C79C2311yescharacteristic
493C22×D4×C79C2311yescharacteristic
494C22×D4×C79C2311yescharacteristic
495C23×C4×C79C2311yescharacteristic
496C23×C4×C79C2311yescharacteristic
497C23×C4×C79C2311yescharacteristic
498C23×C4×C79C2311yescharacteristic
499C23×C4×C79C2311yescharacteristic
500C4⋊Q8×C79C2318yescomplemented
501C4⋊Q8×C79C2318yescomplemented
502#124×C79C2318yescomplemented
503#124×C79C2318yescomplemented
504#123×C79C2318yes—
505#123×C79C2318yes—
506#123×C79C2318yescomplemented
507#123×C79C2318yescomplemented
508C22⋊Q8×C79C2318yescomplemented
509C22⋊Q8×C79C2318yescomplemented
510C22⋊Q8×C79C2318yescomplemented
511C22⋊Q8×C79C2318yescomplemented
512#117×C79C2318yescomplemented
513C2×C4⋊C4×C79C2311yescharacteristic
514C2×C4⋊C4×C79C2311yescharacteristic
515C2×C4⋊C4×C79C2311yescharacteristic
516C2×C4⋊C4×C79C2311yescharacteristic
517C2×C4⋊C4×C79C2311yescharacteristic
518C2×C4⋊C4×C79C2311yescharacteristic
519C2×C4⋊C4×C79C2311yescharacteristic
520C2×C4⋊C4×C79C2311yescharacteristic
521C2×C4⋊C4×C79C2311yescharacteristic
522C2×C4⋊C4×C79C2311yescharacteristic
523C2×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×D79—24no—
536C23×D79—24no—
537C23×D79—24no—
538C23×D79—42no—
539C23×D79—42no—
540C23×D79—42no—
541C23×D79C2411yescharacteristic
542C23×D79C2411yescharacteristic
543C23×D79C2411yescharacteristic
544C23×D79C2414yes—
545C23×D79C2411yescharacteristic
546C23×D79C2414yes—
547#11929624—416no—
548#11929623—416no—
549C2×Dic158—42no—
550C2×Dic158—42no—
551C2×Dic158—42no—
552C2×Dic158—42no—
553C2×Dic158C2414yes—
554C2×Dic158C2414yes—
555C2×Dic158C2414yes—
556C2×Dic158C2414yes—
557C2×D316—24no—
558C2×D316—42no—
559C2×D316—42no—
560C2×D316—42no—
561C2×D316C2414yes—
562C2×D316C2414yes—
563C2×D316C2414yes—
564C2×D316C2414yes—
565C2×C22⋊D79—24no—
566C2×C22⋊D79—24no—
567C2×C22⋊D79—24no—
568C2×C22⋊D79—42no—
569C2×C22⋊D79—42no—
570C2×C22⋊D79—42no—
571C2×C22⋊D79—42no—
572C2×C22⋊D79—42no—
573C2×C22⋊D79C2414yes—
574C2×C22⋊D79C2414yes—
575C2×C22⋊D79C2414yes—
576C2×C22⋊D79C2414yes—
577C2×C22⋊D79C2414yes—
578C2×C22⋊D79C2414yes—
579C2×C22⋊D79C2414yes—
580C2×C22⋊D79C2414yes—
581D4×D79—416no—
582C22×Dic79—24no—
583C22×Dic79—42no—
584C22×Dic79—42no—
585C22×Dic79—42no—
586C22×Dic79—42no—
587C22×Dic79—42no—
588C22×Dic79C2411yescharacteristic
589C22×Dic79C2411yescharacteristic
590C22×Dic79C2411yescharacteristic
591C22×Dic79C2411yescharacteristic
592C22×Dic79C2411yescharacteristic
593C22×Dic79C2411yescharacteristic
594C22×Dic79C2411yescharacteristic
595C22×Dic79C2414yes—
596C22×Dic79C2411yescharacteristic
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2411yescharacteristic
600C22×Dic79C2411yescharacteristic
601C22×Dic79C2414yes—
602C22×Dic79C2414yes—
603C22×Dic79C2414yes—
604C22×Dic79C2414yes—
605C22×Dic79C2414yes—
606C2×C4×D79—24no—
607C2×C4×D79—42no—
608C2×C4×D79—42no—
609C2×C4×D79—42no—
610C2×C4×D79—42no—
611C2×C4×D79—42no—
612C2×C4×D79—416no—
613C2×C4×D79—42no—
614C2×C4×D79—42no—
615C2×C4×D79—42no—
616C2×C4×D79—42no—
617C2×C4×D79—42no—
618C2×C4×D79—42no—
619C2×C4×D79C2414yes—
620C2×C4×D79C2414yes—
621C2×C4×D79C2414yes—
622C2×C4×D79C2414yes—
623C2×C4×D79C2414yes—
624C2×C4×D79C2414yes—
625C2×C4×D79C2414yes—
626C2×C4×D79C2414yes—
627C2×C4×D79C2414yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2414yes—
630C2×C4×D79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2414yes—
639C4⋊Dic79C2414yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2414yes—
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—
671C22⋊Dic79C2414yes—
672C22⋊Dic79C2414yes—
673C22⋊Dic79C2414yes—
674C22⋊Dic79C2414yes—
675C22⋊Dic79C2414yes—
676C22⋊Dic79C2414yes—
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679(C2×D79)⋊C4C2414yes—
680(C2×D79)⋊C4C2414yes—
681(C2×D79)⋊C4C2414yes—
682(C2×D79)⋊C4C2414yes—
683(C2×D79)⋊C4C2414yes—
684(C2×D79)⋊C4C2414yes—
685(C2×D79)⋊C4C2414yes—
686(C2×D79)⋊C4C2414yes—
687(C2×D79)⋊C4C2414yes—
688(C2×D79)⋊C4C2414yes—
689(C2×D79)⋊C4C2414yes—
690(C2×D79)⋊C4C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707C4×Dic79C2414yes—
708C4×Dic79C2414yes—
709C4×Dic79C2414yes—
710C4×Dic79C2414yes—
711C4×Dic79C2414yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C24×C79C2411yescharacteristic
716C24×C79C2411yescharacteristic
717C24×C79C2411yescharacteristic
718#41×C79—416no—
719C2×Q8×C79—42no—
720C2×Q8×C79—42no—
721C2×Q8×C79—42no—
722C2×Q8×C79—42no—
723C2×Q8×C79—416no—
724C2×Q8×C79—42no—
725C2×Q8×C79C2414yes—
726C2×Q8×C79C2414yes—
727C2×Q8×C79C2414yes—
728C2×Q8×C79C2414yes—
729C2×Q8×C79C2414yes—
730C2×D4×C79—24no—
731C2×D4×C79—24no—
732C2×D4×C79—42no—
733C2×D4×C79C2414yes—
734C2×D4×C79C2414yes—
735C2×D4×C79C2414yes—
736C22×C4×C79—24no—
737C22×C4×C79—24no—
738C22×C4×C79—24no—
739C22×C4×C79—42no—
740C22×C4×C79—42no—
741C22×C4×C79C2411yescharacteristic
742C22×C4×C79C2411yescharacteristic
743C22×C4×C79C2411yescharacteristic
744C22×C4×C79C2411yescharacteristic
745C22×C4×C79C2414yes—
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—
764C4⋊C4×C79C2414yes—
765C4⋊C4×C79C2414yes—
766C4⋊C4×C79C2414yes—
767C4⋊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×C79H(5,𝔽2)14yes—
789C23×C79C2512yes—
790C23×C79C2512yes—
791C23×C79C2512yes—
792C23×C79C2511yescharacteristic
793C22×D79—22no—
794C22×D79—22no—
795C22×D79—28no—
796C22×D79—22no—
797C22×D79—22no—
798C22×D79—22no—
799C22×D79—22no—
800C22×D79—22no—
801C22×D79—22no—
802C22×D79—22no—
803C22×D79—22no—
804C22×D79—22no—
805C22×D79—28no—
806C22×D79—28no—
807C22×D79—44no—
808C22×D79—44no—
809C22×D79—44no—
810C22×D79—416no—
811C22×D79—88no—
812C22×D792−1+414yes—
813C22×D79C2512yes—
814C22×D79C2512yes—
815C22×D79C2512yes—
816C22×D79C2512yes—
817Q8×C79—44no—
818Q8×C79—44no—
819Q8×C79—44no—
820Q8×C79—44no—
821Q8×C79—44no—
822D4×C79—28no—
823D4×C79—28no—
824D4×C79—44no—
825C2×C4×C79—28no—
826C2×C4×C79—22no—
827C2×C4×C79—22no—
828C2×C4×C79—22no—
829C2×C4×C79—22no—
830C2×C4×C79—22no—
831C2×C4×C79—22no—
832C2×C4×C79—28no—
833C2×C4×C79—22no—
834C2×C4×C79—22no—
835C2×C4×C79—28no—
836C2×C4×C79—22no—
837C2×C4×C79—22no—
838C2×C4×C79—22no—
839C2×C4×C79—22no—
840C2×C4×C79—44no—
841C2×C4×C79—44no—
842C2×C4×C79C2512yes—
843C2×C4×C79C2512yes—
844C2×C4×C79C2512yes—
845C2×C4×C79C2512yes—
846C2×C4×C79C2512yes—
847C2×C4×C79C2512yes—
848C2×C4×C79C2512yes—
849C2×C4×C79C2512yes—
850C2×C4×C79C2512yes—
851C2×C4×C79C2512yes—
852C2×C4×C79C2512yes—
853C2×C4×C79C2512yes—
854C22⋊D79—28no—
855C22⋊D79—28no—
856C22⋊D79—28no—
857C22⋊D79—44no—
858C22⋊D79—44no—
859C22⋊D79—44no—
860C22⋊D79—44no—
861C22⋊D79—44no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—28no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—22no—
868C2×Dic79—22no—
869C2×Dic79—22no—
870C2×Dic79—22no—
871C2×Dic79—22no—
872C2×Dic79—22no—
873C2×Dic79—22no—
874C2×Dic79—22no—
875C2×Dic79—44no—
876C2×Dic79—44no—
877C2×Dic79—44no—
878C2×Dic79—44no—
879C2×Dic79—44no—
880C2×Dic79C2512yes—
881C2×Dic79C2512yes—
882C2×Dic79C2512yes—
883C2×Dic79C2512yes—
884C2×Dic79C2512yes—
885C2×Dic79C2512yes—
886C2×Dic79C2512yes—
887C2×Dic79C2512yes—
888C2×Dic79C2512yes—
889C2×Dic79C2512yes—
890C2×Dic79C2512yes—
891C2×Dic79C2512yes—
892D316—28no—
893D316—44no—
894D316—44no—
895D316—44no—
896C4×D79—28no—
897C4×D79—44no—
898C4×D79—44no—
899C4×D79—44no—
900C4×D79—44no—
901C4×D79—44no—
902C4×D79—44no—
903C4×D79—44no—
904C4×D79—44no—
905C4×D79—44no—
906C4×D79—44no—
907C4×D79—44no—
908Dic158—44no—
909Dic158—44no—
910Dic158—44no—
911Dic158—44no—
912C22×C79—22no—
913C22×C79—22no—
914C22×C79—28no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—22no—
919C22×C79—22no—
920C22×C79—22no—
921C22×C79—44no—
922C22×C79—44no—
923C22×C79C2×H(5,𝔽2)14yes—
924C22×C79C2×H(5,𝔽2)12yes—
925C22×C79C2×2−1+412yes—
926C22×C79#58512yes—
927C22×C79C2611yescharacteristic
928C2×D79—22no—
929C2×D79—22no—
930C2×D79—28no—
931C2×D79—22no—
932C2×D79—22no—
933C2×D79—22no—
934C2×D79—22no—
935C2×D79—22no—
936C2×D79—22no—
937C2×D79—22no—
938C2×D79—22no—
939C2×D79—22no—
940C2×D79—416no—
941C2×D79—44no—
942C2×D79—44no—
943C2×D79—44no—
944C2×D79—88no—
945C2×D79C2×2−1+414yes—
946C4×C79—22no—
947C4×C79—22no—
948C4×C79—22no—
949C4×C79—22no—
950C4×C79—22no—
951C4×C79—22no—
952C4×C79—22no—
953C4×C79—22no—
954C4×C79—22no—
955C4×C79—22no—
956C4×C79—22no—
957C4×C79—22no—
958Dic79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79—22no—
968Dic79—22no—
969Dic79—22no—
970C2×#3535—791nomaximal, Sylow
971C2×C79—24no—
972C2×C79—42no—
973C2×C79—42no—
974C2×C79#353514yescomplemented
975C2×C79C22×H(5,𝔽2)11yescharacteristic
976C2×C79C22×2−1+411yescharacteristic
977C2×C79C2×#58511yescharacteristic
978D79—24no—
979D79—42no—
980D79—42no—
981D79—42no—
982#3535—7932no—
983C2×#563—791no—
984C2×#563—791no—
985C2×#562—791no—
986C2×#562—791no—
987C2×#554—791no—
988C2×#554—791no—
989C2×#552—791no—
990C2×#552—791no—
991C2×#551—791no—
992C2×#551—791no—
993C2×#551—791no—
994C2×#551—791no—
995C2×#547—791no—
996C2×#547—791no—
997C2×#546—791no—
998C2×#546—791no—
999C2×#544—791no—
1000C2×#543—791no—
1001C2×#542—791no—
1002C2×#542—791no—
1003C2×#539—791no—
1004C2×#539—791no—
1005C2×#539—791no—
1006C2×#539—791no—
1007C2×#539—791no—
1008C2×#538—791no—
1009C2×#536—791no—
1010C2×#536D7911yescharacteristic, complemented
1011C2×#525—791no—
1012C22×#123—791no—
1013C22×C22⋊Q8—791no—
1014C79C2×#353511yescharacteristic, complemented, Sylow
1015C22×#41—791no—
1016C22×#41—791no—
1017C22×#41C2×D7911yescharacteristic
1018C23×Q8C2×D7911yescharacteristic, complemented
1019C23×D4—791no—
1020C24×C4—791no—
1021#563—7916no—
1022#563—7916no—
1023#562—7916no—
1024#562—7916no—
1025#554—7916no—
1026#554—7916no—
1027#552—7916no—
1028#552—7916no—
1029#551—7916no—
1030#551—7916no—
1031#551—7916no—
1032#551—7916no—
1033#547—7916no—
1034#547—7916no—
1035#546—7916no—
1036#546—7916no—
1037#544—7916no—
1038#543—7916no—
1039#542—7916no—
1040#542—7916no—
1041#539—7916no—
1042#539—7916no—
1043#539—7916no—
1044#539—7916no—
1045#539—7916no—
1046#538—7916no—
1047#536—7916no—
1048#536C2×D79116yescomplemented
1049C2×C4⋊Q8—791no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1054C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1055C2×#126—791no—
1056C2×#126—791no—
1057C2×#126—791no—
1058C2×#126—791no—
1059C2×#126—791no—
1060C2×#126—791no—
1061C2×#126—791no—
1062C2×#126—791no—
1063C2×#126—791no—
1064C2×#126—791no—
1065C2×#126—791no—
1066C2×#126—791no—
1067C2×#125—791no—
1068C2×#125—791no—
1069C2×#125—791no—
1070C2×#125—791no—
1071C2×#125—791no—
1072C2×#125—791no—
1073C2×#125—791no—
1074C2×#125—791no—
1075C2×#125—791no—
1076C2×#125—791no—
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—791no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124C2×D7911yescharacteristic, complemented
1084C2×#124C2×D7911yescharacteristic, complemented
1085#525—7916no—
1086C2×#123—791no—
1087C2×#123—791no—
1088C2×#123—791no—
1089C2×#123—791no—
1090C2×#123—791no—
1091C2×#123—791no—
1092C2×#123—791no—
1093C2×#123—791no—
1094C2×#123—7916no—
1095C2×#123—791no—
1096C2×#123—791no—
1097C2×#123—791no—
1098C2×#123—791no—
1099C2×#123—791no—
1100C2×#123—791no—
1101C2×#123—791no—
1102C2×#123—791no—
1103C2×#123—791no—
1104C2×#123—791no—
1105C2×#123—791no—
1106C2×#123—791no—
1107C2×#123—791no—
1108C2×#123—791no—
1109C2×#123—791no—
1110C2×#123—791no—
1111C2×#123C2×D7911yescharacteristic
1112C2×#123C2×D7911yescharacteristic
1113C2×#123C2×D7911yescharacteristic, complemented
1114C2×#123C2×D7911yescharacteristic, complemented
1115C2×C22⋊Q8—791no—
1116C2×C22⋊Q8—791no—
1117C2×C22⋊Q8—791no—
1118C2×C22⋊Q8—791no—
1119C2×C22⋊Q8—791no—
1120C2×C22⋊Q8—791no—
1121C2×C22⋊Q8—791no—
1122C2×C22⋊Q8—791no—
1123C2×C22⋊Q8—791no—
1124C2×C22⋊Q8—791no—
1125C2×C22⋊Q8—791no—
1126C2×C22⋊Q8—791no—
1127C2×C22⋊Q8—791no—
1128C2×C22⋊Q8—791no—
1129C2×C22⋊Q8—7916no—
1130C2×C22⋊Q8—791no—
1131C2×C22⋊Q8—791no—
1132C2×C22⋊Q8—791no—
1133C2×C22⋊Q8—791no—
1134C2×C22⋊Q8—791no—
1135C2×C22⋊Q8—791no—
1136C2×C22⋊Q8—791no—
1137C2×C22⋊Q8—791no—
1138C2×C22⋊Q8—791no—
1139C2×C22⋊Q8—791no—
1140C2×C22⋊Q8—791no—
1141C2×C22⋊Q8—791no—
1142C2×C22⋊Q8—791no—
1143C2×C22⋊Q8—791no—
1144C2×C22⋊Q8—791no—
1145C2×C22⋊Q8—791no—
1146C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1147C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1148C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1149C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1150C2×#121—791no—
1151C2×#121—791no—
1152C2×#121—791no—
1153C2×#121—791no—
1154C2×#121—791no—
1155C2×#121—791no—
1156C2×#121—791no—
1157C2×#121—791no—
1158C2×#121—791no—
1159C2×#121—791no—
1160C2×#120—791no—
1161C2×#120—791no—
1162C2×#120—791no—
1163C2×#120—791no—
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×D4—791no—
1167C2×C4×D4—791no—
1168C2×C4×D4—791no—
1169C2×C4×D4—791no—
1170C2×C4×D4—791no—
1171C2×C4×D4—791no—
1172C2×C4×D4—791no—
1173C2×C4×D4—791no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—791no—
1177C2×C4×D4—791no—
1178C2×C4×D4—791no—
1179C2×C4×D4—791no—
1180C2×#117—791no—
1181C2×#117—791no—
1182C2×#117—791no—
1183C2×#117—791no—
1184C2×#117—791no—
1185C2×#117—791no—
1186C2×#117C2×D7911yescharacteristic, complemented
1187C22×C4⋊C4—791no—
1188C22×C4⋊C4—791no—
1189C22×C4⋊C4—791no—
1190C22×C4⋊C4—791no—
1191C22×C4⋊C4—791no—
1192C22×C4⋊C4—791no—
1193C22×C4⋊C4—791no—
1194C22×C22⋊C4—791no—
1195C22×C22⋊C4—791no—
1196C22×C22⋊C4—791no—
1197C22×C22⋊C4—791no—
1198C22×C22⋊C4—791no—
1199C22×C22⋊C4—791no—
1200C22×C22⋊C4—791no—
1201C25—791no—
1202C25—791no—
1203C2×#41—44no—
1204C2×#41—3164no—
1205C2×#41—3164no—
1206C2×#41—798no—
1207C2×#41—798no—
1208C2×#41C22×D7918yes—
1209C22×Q8—44no—
1210C22×Q8—791no—
1211C22×Q8—791no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8C22×D7911yescharacteristic
1215C22×Q8C22×D7911yescharacteristic
1216C22×Q8C22×D7911yescharacteristic
1217C22×Q8C22×D7911yescharacteristic
1218C22×Q8C22×D7911yescharacteristic
1219C22×Q8C22×D7918yescomplemented
1220C22×D4—3164no—
1221C22×D4—791no—
1222C22×D4—791no—
1223C22×D4—791no—
1224C22×D4—791no—
1225C22×D4—791no—
1226C22×D4—798no—
1227C22×D4—791no—
1228C22×D4—791no—
1229C22×D4—791no—
1230C22×D4—791no—
1231C22×D4—791no—
1232C22×D4—791no—
1233C22×D4—791no—
1234C22×D4C22×D7911yescharacteristic
1235C22×D4C22×D7911yescharacteristic
1236C22×D4C22×D7911yescharacteristic
1237C23×C4—3164no—
1238C23×C4—791no—
1239C23×C4—791no—
1240C23×C4—791no—
1241C23×C4—791no—
1242C23×C4—791no—
1243C23×C4—791no—
1244C23×C4—791no—
1245C23×C4—791no—
1246C23×C4—791no—
1247C23×C4—791no—
1248C23×C4—791no—
1249C23×C4—791no—
1250C23×C4—791no—
1251C23×C4—791no—
1252C23×C4—791no—
1253C23×C4—791no—
1254C23×C4—798no—
1255C23×C4—791no—
1256C23×C4—791no—
1257C23×C4C22×D7911yescharacteristic
1258C23×C4C22×D7911yescharacteristic
1259C23×C4C22×D7911yescharacteristic
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8C22×D7918yescomplemented
1267C4⋊Q8C22×D7918yescomplemented
1268#126—798no—
1269#126—798no—
1270#126—798no—
1271#126—798no—
1272#126—798no—
1273#126—798no—
1274#126—798no—
1275#126—798no—
1276#126—798no—
1277#126—798no—
1278#126—798no—
1279#126—798no—
1280#125—798no—
1281#125—798no—
1282#125—798no—
1283#125—798no—
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#125—798no—
1288#125—798no—
1289#125—798no—
1290#124—798no—
1291#124—798no—
1292#124—798no—
1293#124—798no—
1294#124—798no—
1295#124—798no—
1296#124C22×D7918yescomplemented
1297#124C22×D7918yescomplemented
1298#123—798no—
1299#123—798no—
1300#123—798no—
1301#123—798no—
1302#123—798no—
1303#123—798no—
1304#123—798no—
1305#123—798no—
1306#123—798no—
1307#123—798no—
1308#123—798no—
1309#123—798no—
1310#123—798no—
1311#123—798no—
1312#123—798no—
1313#123—798no—
1314#123—798no—
1315#123—798no—
1316#123—798no—
1317#123—798no—
1318#123—798no—
1319#123—798no—
1320#123—798no—
1321#123—798no—
1322#123C22×D7918yes—
1323#123C22×D7918yes—
1324#123C22×D7918yescomplemented
1325#123C22×D7918yescomplemented
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8—798no—
1342C22⋊Q8—798no—
1343C22⋊Q8—798no—
1344C22⋊Q8—798no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8—798no—
1351C22⋊Q8—798no—
1352C22⋊Q8—798no—
1353C22⋊Q8—798no—
1354C22⋊Q8—798no—
1355C22⋊Q8—798no—
1356C22⋊Q8C22×D7918yescomplemented
1357C22⋊Q8C22×D7918yescomplemented
1358C22⋊Q8C22×D7918yescomplemented
1359C22⋊Q8C22×D7918yescomplemented
1360#121—798no—
1361#121—798no—
1362#121—798no—
1363#121—798no—
1364#121—798no—
1365#121—798no—
1366#121—798no—
1367#121—798no—
1368#121—798no—
1369#121—798no—
1370#120—798no—
1371#120—798no—
1372#120—798no—
1373#120—798no—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×D4—798no—
1377C4×D4—798no—
1378C4×D4—798no—
1379C4×D4—798no—
1380C4×D4—798no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—798no—
1385C4×D4—798no—
1386C4×D4—798no—
1387C4×D4—798no—
1388C4×D4—798no—
1389C4×D4—798no—
1390#117—798no—
1391#117—798no—
1392#117—798no—
1393#117—798no—
1394#117—798no—
1395#117—798no—
1396#117C22×D7918yescomplemented
1397C2×C4⋊C4—791no—
1398C2×C4⋊C4—791no—
1399C2×C4⋊C4—791no—
1400C2×C4⋊C4—791no—
1401C2×C4⋊C4—791no—
1402C2×C4⋊C4—791no—
1403C2×C4⋊C4—791no—
1404C2×C4⋊C4—791no—
1405C2×C4⋊C4—791no—
1406C2×C4⋊C4—791no—
1407C2×C4⋊C4—791no—
1408C2×C4⋊C4—791no—
1409C2×C4⋊C4—791no—
1410C2×C4⋊C4—791no—
1411C2×C4⋊C4—791no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—791no—
1414C2×C4⋊C4—791no—
1415C2×C4⋊C4—798no—
1416C2×C4⋊C4—798no—
1417C2×C4⋊C4—798no—
1418C2×C4⋊C4—791no—
1419C2×C4⋊C4—791no—
1420C2×C4⋊C4—791no—
1421C2×C4⋊C4—798no—
1422C2×C4⋊C4—791no—
1423C2×C4⋊C4—791no—
1424C2×C4⋊C4—791no—
1425C2×C4⋊C4—791no—
1426C2×C4⋊C4—791no—
1427C2×C4⋊C4—791no—
1428C2×C4⋊C4—791no—
1429C2×C4⋊C4—791no—
1430C2×C4⋊C4—791no—
1431C2×C4⋊C4—791no—
1432C2×C4⋊C4—791no—
1433C2×C4⋊C4—791no—
1434C2×C4⋊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—798no—
1442C2×C4⋊C4—798no—
1443C2×C4⋊C4—798no—
1444C2×C4⋊C4C22×D7911yescharacteristic
1445C2×C4⋊C4C22×D7911yescharacteristic
1446C2×C4⋊C4C22×D7911yescharacteristic
1447C2×C4⋊C4C22×D7911yescharacteristic
1448C2×C4⋊C4C22×D7911yescharacteristic
1449C2×C4⋊C4C22×D7911yescharacteristic
1450C2×C4⋊C4C22×D7911yescharacteristic
1451C2×C4⋊C4C22×D7911yescharacteristic
1452C2×C4⋊C4C22×D7911yescharacteristic
1453C2×C4⋊C4C22×D7911yescharacteristic
1454C2×C22⋊C4—791no—
1455C2×C22⋊C4—791no—
1456C2×C22⋊C4—791no—
1457C2×C22⋊C4—791no—
1458C2×C22⋊C4—791no—
1459C2×C22⋊C4—791no—
1460C2×C22⋊C4—791no—
1461C2×C22⋊C4—791no—
1462C2×C22⋊C4—791no—
1463C2×C22⋊C4—791no—
1464C2×C22⋊C4—791no—
1465C2×C22⋊C4—791no—
1466C2×C22⋊C4—791no—
1467C2×C22⋊C4—791no—
1468C2×C22⋊C4—791no—
1469C2×C22⋊C4—791no—
1470C2×C22⋊C4—791no—
1471C2×C22⋊C4—791no—
1472C2×C22⋊C4—791no—
1473C2×C22⋊C4—791no—
1474C2×C22⋊C4—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—798no—
1478C2×C22⋊C4—798no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—791no—
1481C2×C22⋊C4—791no—
1482C2×C22⋊C4—798no—
1483C2×C22⋊C4—791no—
1484C2×C22⋊C4—791no—
1485C2×C22⋊C4—791no—
1486C2×C22⋊C4—791no—
1487C2×C22⋊C4—791no—
1488C2×C22⋊C4—791no—
1489C2×C22⋊C4—791no—
1490C2×C22⋊C4—791no—
1491C2×C22⋊C4—791no—
1492C2×C22⋊C4—791no—
1493C2×C22⋊C4—798no—
1494C2×C22⋊C4—798no—
1495C2×C22⋊C4—798no—
1496C2×C22⋊C4—798no—
1497C2×C22⋊C4C22×D7911yescharacteristic
1498C2×C22⋊C4C22×D7911yescharacteristic
1499C2×C22⋊C4C22×D7911yescharacteristic
1500C2×C22⋊C4C22×D7911yescharacteristic
1501C2×C22⋊C4C22×D7911yescharacteristic
1502C2×C22⋊C4C22×D7911yescharacteristic
1503C2×C22⋊C4C22×D7911yescharacteristic
1504C2×C22⋊C4C22×D7911yescharacteristic
1505C2×C22⋊C4C22×D7911yescharacteristic
1506C2×C22⋊C4C22×D7911yescharacteristic
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42—791no—
1514C2×C42—791no—
1515C2×C42C22×D7911yescharacteristic
1516C2×C42C22×D7911yescharacteristic
1517C24—3162no—
1518C24—3162no—
1519C24—3162no—
1520C24—794no—
1521C24—794no—
1522C24—791no—
1523C24—791no—
1524C24—791no—
1525C24—791no—
1526C24—1584no—
1527C24—1584no—
1528C24—1584no—
1529C24C23×D7911yescharacteristic
1530C24C23×D7911yescharacteristic
1531C24C23×D7911yescharacteristic
1532#41—416no—
1533#41—31616no—
1534#41—31616no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—416no—
1540C2×Q8—42no—
1541C2×Q8—3162no—
1542C2×Q8—3162no—
1543C2×Q8—3162no—
1544C2×Q8—3162no—
1545C2×Q8—794no—
1546C2×Q8—794no—
1547C2×Q8—794no—
1548C2×Q8—794no—
1549C2×Q8C23×D7914yes—
1550C2×Q8C23×D7914yes—
1551C2×Q8C23×D7914yes—
1552C2×Q8C23×D7914yes—
1553C2×Q8C23×D7914yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—3162no—
1558C2×D4—3162no—
1559C2×D4—3162no—
1560C2×D4—31616no—
1561C2×D4—3162no—
1562C2×D4—3162no—
1563C2×D4—3162no—
1564C2×D4—3162no—
1565C2×D4—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—794no—
1578C2×D4—1584no—
1579C2×D4—1584no—
1580C2×D4—1584no—
1581C2×D4—1584no—
1582C2×D4C23×D7914yes—
1583C2×D4C23×D7914yes—
1584C2×D4C23×D7914yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—3162no—
1591C22×C4—3162no—
1592C22×C4—3162no—
1593C22×C4—3162no—
1594C22×C4—31616no—
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—3162no—
1605C22×C4—3162no—
1606C22×C4—3162no—
1607C22×C4—794no—
1608C22×C4—794no—
1609C22×C4—794no—
1610C22×C4—794no—
1611C22×C4—794no—
1612C22×C4—794no—
1613C22×C4—794no—
1614C22×C4—794no—
1615C22×C4—794no—
1616C22×C4—794no—
1617C22×C4—794no—
1618C22×C4—794no—
1619C22×C4—794no—
1620C22×C4—794no—
1621C22×C4—794no—
1622C22×C4—794no—
1623C22×C4—794no—
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×C4C23×D7914yes—
1640C22×C4C23×D7914yes—
1641C22×C4C23×D7914yes—
1642C22×C4C23×D7911yescharacteristic
1643C22×C4C23×D7911yescharacteristic
1644C22×C4C23×D7911yescharacteristic
1645C22×C4C23×D7911yescharacteristic
1646C22×C4C23×D7911yescharacteristic
1647C22×C4C23×D7911yescharacteristic
1648C22×C4C23×D7911yescharacteristic
1649C22×C4C23×D7911yescharacteristic
1650C22×C4C23×D7911yescharacteristic
1651C22×C4C23×D7911yescharacteristic
1652C22×C4C23×D7911yescharacteristic
1653C22×C4C23×D7911yescharacteristic
1654C22×C4C23×D7914yes—
1655C22×C4C23×D7914yes—
1656C4⋊C4—794no—
1657C4⋊C4—794no—
1658C4⋊C4—794no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—794no—
1663C4⋊C4—794no—
1664C4⋊C4—794no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—794no—
1668C4⋊C4—794no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4—794no—
1672C4⋊C4—794no—
1673C4⋊C4—794no—
1674C4⋊C4—794no—
1675C4⋊C4—794no—
1676C4⋊C4—794no—
1677C4⋊C4—794no—
1678C4⋊C4—794no—
1679C4⋊C4—794no—
1680C4⋊C4—794no—
1681C4⋊C4—794no—
1682C4⋊C4—794no—
1683C4⋊C4—794no—
1684C4⋊C4—794no—
1685C4⋊C4—794no—
1686C4⋊C4—794no—
1687C4⋊C4—794no—
1688C4⋊C4—794no—
1689C4⋊C4—794no—
1690C4⋊C4—794no—
1691C4⋊C4—794no—
1692C4⋊C4—794no—
1693C4⋊C4—794no—
1694C4⋊C4—794no—
1695C4⋊C4—794no—
1696C4⋊C4C23×D7914yes—
1697C4⋊C4C23×D7914yes—
1698C4⋊C4C23×D7914yes—
1699C4⋊C4C23×D7914yes—
1700C4⋊C4C23×D7914yes—
1701C4⋊C4C23×D7914yes—
1702C4⋊C4C23×D7914yes—
1703C4⋊C4C23×D7914yes—
1704C4⋊C4C23×D7914yes—
1705C4⋊C4C23×D7914yes—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4—794no—
1714C22⋊C4—794no—
1715C22⋊C4—794no—
1716C22⋊C4—794no—
1717C22⋊C4—794no—
1718C22⋊C4—794no—
1719C22⋊C4—794no—
1720C22⋊C4—794no—
1721C22⋊C4—794no—
1722C22⋊C4—794no—
1723C22⋊C4—794no—
1724C22⋊C4—794no—
1725C22⋊C4—794no—
1726C22⋊C4—794no—
1727C22⋊C4—794no—
1728C22⋊C4—794no—
1729C22⋊C4—794no—
1730C22⋊C4—794no—
1731C22⋊C4—794no—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4—794no—
1735C22⋊C4—794no—
1736C22⋊C4—794no—
1737C22⋊C4—794no—
1738C22⋊C4—794no—
1739C22⋊C4—794no—
1740C22⋊C4—794no—
1741C22⋊C4—794no—
1742C22⋊C4C23×D7914yes—
1743C22⋊C4C23×D7914yes—
1744C22⋊C4C23×D7914yes—
1745C22⋊C4C23×D7914yes—
1746C22⋊C4C23×D7914yes—
1747C22⋊C4C23×D7914yes—
1748C22⋊C4C23×D7914yes—
1749C22⋊C4C23×D7914yes—
1750C22⋊C4C23×D7914yes—
1751C22⋊C4C23×D7914yes—
1752C42—794no—
1753C42—794no—
1754C42—794no—
1755C42—794no—
1756C42—794no—
1757C42—794no—
1758C42—794no—
1759C42—794no—
1760C42C23×D7914yes—
1761C42C23×D7914yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—31616no—
1771C23—3164no—
1772C23—3164no—
1773C23—3164no—
1774C23—794no—
1775C23—792no—
1776C23—792no—
1777C23—792no—
1778C23—792no—
1779C23—6328no—
1780C23—1588no—
1781C23—1588no—
1782C23—1582no—
1783C23—1588no—
1784C23—1582no—
1785C23—1582no—
1786C23—1582no—
1787C23—1582no—
1788C23—1582no—
1789C23—1582no—
1790C23—1582no—
1791C23—1582no—
1792C23—1582no—
1793C23—1582no—
1794C23#1457920614yes—
1795C23C24×D7912yes—
1796C23C24×D7912yes—
1797C23C24×D7912yes—
1798C23C24×D7911yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—44no—
1803Q8—44no—
1804Q8—3164no—
1805Q8—3164no—
1806Q8—3164no—
1807Q8—3164no—
1808D4—28no—
1809D4—28no—
1810D4—44no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
1818D4—3164no—
1819D4—1588no—
1820D4—1588no—
1821D4—1588no—
1822D4—1588no—
1823C2×C4—22no—
1824C2×C4—28no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—3164no—
1841C2×C4—3164no—
1842C2×C4—3164no—
1843C2×C4—3164no—
1844C2×C4—3164no—
1845C2×C4—3164no—
1846C2×C4—3164no—
1847C2×C4—3164no—
1848C2×C4—3164no—
1849C2×C4—3164no—
1850C2×C4—3164no—
1851C2×C4—3164no—
1852C2×C4—3164no—
1853C2×C4—3164no—
1854C2×C4—3164no—
1855C2×C4—3164no—
1856C2×C4—792no—
1857C2×C4—792no—
1858C2×C4—792no—
1859C2×C4—792no—
1860C2×C4—792no—
1861C2×C4—792no—
1862C2×C4—792no—
1863C2×C4—792no—
1864C2×C4—792no—
1865C2×C4—792no—
1866C2×C4—792no—
1867C2×C4—792no—
1868C2×C4—1588no—
1869C2×C4—1582no—
1870C2×C4—1582no—
1871C2×C4—1588no—
1872C2×C4—1582no—
1873C2×C4—1582no—
1874C2×C4—1582no—
1875C2×C4—1582no—
1876C2×C4—1582no—
1877C2×C4—1582no—
1878C2×C4—1582no—
1879C2×C4—1582no—
1880C2×C4—1582no—
1881C2×C4—1582no—
1882C2×C4C24×D7912yes—
1883C2×C4C24×D7912yes—
1884C2×C4C24×D7912yes—
1885C2×C4C24×D7912yes—
1886C2×C4C24×D7912yes—
1887C2×C4C24×D7912yes—
1888C2×C4C24×D7912yes—
1889C2×C4C24×D7912yes—
1890C2×C4C24×D7912yes—
1891C2×C4C24×D7912yes—
1892C2×C4C24×D7912yes—
1893C2×C4C24×D7912yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—31616no—
1906C22—3164no—
1907C22—3164no—
1908C22—3164no—
1909C22—794no—
1910C22—6328no—
1911C22—1582no—
1912C22—1582no—
1913C22—1582no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1582no—
1919C22—1582no—
1920C22—1588no—
1921C22—1582no—
1922C22—1582no—
1923C22C2×#1457920614yes—
1924C22C2×#1457920612yes—
1925C222−1+4×D7912yes—
1926C22#1909940012yes—
1927C22C25×D7911yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—1582no—
1941C4—1582no—
1942C4—1582no—
1943C4—1582no—
1944C4—1582no—
1945C4—1582no—
1946C4—1582no—
1947C4—1582no—
1948C4—1582no—
1949C4—1582no—
1950C4—1582no—
1951C4—1582no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—3162no—
1956C2—3162no—
1957C2—3162no—
1958C2—1584no—
1959C2#2377759914yesdirect product factor
1960C2C22×#1457920611yescharacteristic
1961C2C2×2−1+4×D7911yescharacteristic
1962C2C2×#1909940011yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#536×C79C2
socleC23×C79C25
hypercenterC2×#536D79
hypocenterC79C2×#3535
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
1. #23777599C2direct (N × H)
2. C2×#19099314C2semidirect
3. C2×#19099312C2semidirect
4. C2×#19099309C2semidirect
5. C2×#19099307C2semidirect
6. C2×#19099274C2semidirect
7. C2×#19099267C2semidirect
8. C2×#19099250C2semidirect
9. C2×#19099246C2semidirect
10. C2×#19099243C2semidirect
11. C2×#19099240C2semidirect
12. C2×#19099237C2semidirect
13. C2×#19099236C2semidirect
14. C2×#19099212C2semidirect
15. C2×#19099211C2semidirect
16. C2×#19099205C2semidirect
17. C2×#19099201C2semidirect
18. C2×#19099190C2semidirect
19. C2×#19099188C2semidirect
20. C2×#19099187C2semidirect
21. C2×#19099177C2semidirect
22. C2×#19099162C2semidirect
23. C2×#19099159C2semidirect
24. C2×#19099159C2semidirect
25. C2×#19099157C2semidirect
26. C2×#19099157C2semidirect
27. C2×#19099147C2semidirect
28. C2×#19099137C2semidirect
29. C2×#19099071C2semidirect
30. C2×#123×D79C2semidirect
31. C22×#14579137C2semidirect
32. C2×#536×C79C2semidirect
34. C22×#11929623C22semidirect
37. #19099314C22semidirect
38. #19099312C22semidirect
39. #19099309C22semidirect
40. #19099307C22semidirect
41. #19099274C22semidirect
42. #19099267C22semidirect
43. #19099250C22semidirect
44. #19099246C22semidirect
45. #19099243C22semidirect
46. #19099240C22semidirect
47. #19099237C22semidirect
48. #19099236C22semidirect
49. #19099212C22semidirect
50. #19099211C22semidirect
51. #19099205C22semidirect
52. #19099201C22semidirect
53. #19099190C22semidirect
54. #19099188C22semidirect
55. #19099187C22semidirect
56. #19099177C22semidirect
57. #19099162C22semidirect
58. #19099159C22semidirect
59. #19099159C22semidirect
60. #19099157C22semidirect
61. #19099157C22semidirect
62. #19099147C22semidirect
63. #19099137C22semidirect
64. C2×#14579160C22semidirect
65. C2×#14579159C22semidirect
66. C2×#14579159C22semidirect
67. C2×#14579159C22semidirect
68. C2×#14579156C22semidirect
69. C2×#14579156C22semidirect
70. C2×#14579156C22semidirect
71. C2×#14579156C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579156C22semidirect
74. C2×#14579155C22semidirect
75. C2×#14579155C22semidirect
76. C2×#14579154C22semidirect
77. C2×#14579154C22semidirect
78. C2×#14579154C22semidirect
79. C2×#14579154C22semidirect
80. C2×#14579153C22semidirect
81. C2×#14579152C22semidirect
82. C2×#14579152C22semidirect
83. C2×#14579152C22semidirect
84. C2×#14579151C22semidirect
85. C2×#14579151C22semidirect
86. C2×#14579151C22semidirect
87. C2×#14579151C22semidirect
88. C2×#14579151C22semidirect
89. C2×#14579151C22semidirect
91. C2×#14579150C22semidirect
92. C2×#14579150C22semidirect
93. C2×#14579149C22semidirect
95. C2×#14579147C22semidirect
96. #19099071C22semidirect
101. C2×#14579146C22semidirect
102. C2×#14579146C22semidirect
104. C2×#14579145C22semidirect
105. C2×#14579145C22semidirect
106. C2×#14579145C22semidirect
110. C2×#14579144C22semidirect
111. C2×#14579144C22semidirect
112. C2×#14579144C22semidirect
116. C2×#14579143C22semidirect
117. C2×#14579143C22semidirect
118. C2×#14579143C22semidirect
120. C2×#14579142C22semidirect
121. #123×D79C22semidirect
123. C2×#14579141C22semidirect
124. C2×#14579141C22semidirect
125. C2×#14579140C22semidirect
129. C2×#14579139C22semidirect
130. C2×#14579139C22semidirect
131. C2×#14579139C22semidirect
132. C2×#14579138C22semidirect
133. C2×#14579138C22semidirect
134. C2×#14579138C22semidirect
135. C2×#14579138C22semidirect
136. C2×#14579138C22semidirect
137. C2×#14579138C22semidirect
143. C2×#14579137C22semidirect
144. C2×#14579137C22semidirect
145. C2×#14579137C22semidirect
146. C2×#14579137C22semidirect
147. C2×#14579137C22semidirect
148. C2×#14579137C22semidirect
149. C2×#14579137C22semidirect
150. C2×#14579137C22semidirect
151. C2×#14579137C22semidirect
152. C2×#14579137C22semidirect
157. C2×#14579134C22semidirect
158. C2×#14579134C22semidirect
162. C2×#14579133C22semidirect
167. C2×C4×Dic158C22semidirect
168. C2×#14579126C22semidirect
171. C2×D4×Dic79C22semidirect
174. C2×#14579123C22semidirect
176. C2×C4×C22⋊D79C22semidirect
180. C2×(C22⋊D79)⋊C4C22semidirect
181. C2×(C22⋊D79)⋊C4C22semidirect
182. C2×(C22⋊D79)⋊C4C22semidirect
183. C2×#14579120C22semidirect
186. C2×#14579118C22semidirect
187. C2×#14579117C22semidirect
188. C2×#14579117C22semidirect
189. C22×C4⋊Dic79C22semidirect
190. C22×Dic79⋊C4C22semidirect
191. C22×Dic79⋊C4C22semidirect
192. C22×Dic79⋊C4C22semidirect
195. C2×C4⋊C4×D79C22semidirect
204. C23×Q8×C79C22semidirect
205. #536×C79C22semidirect
206. C2×C4⋊Q8×C79C22semidirect
207. C2×C4⋊Q8×C79C22semidirect
208. C2×#124×C79C22semidirect
209. C2×#124×C79C22semidirect
212. C2×#123×C79C22semidirect
213. C2×#123×C79C22semidirect
214. C2×C22⋊Q8×C79C22semidirect
215. C2×C22⋊Q8×C79C22semidirect
216. C2×C22⋊Q8×C79C22semidirect
217. C2×C22⋊Q8×C79C22semidirect
218. C2×#117×C79C22semidirect
224. C2×#11929623C23semidirect
263. #14579160C23semidirect
264. #14579159C23semidirect
265. #14579159C23semidirect
266. #14579159C23semidirect
267. #14579156C23semidirect
268. #14579156C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579156C23semidirect
272. #14579156C23semidirect
273. #14579155C23semidirect
274. #14579155C23semidirect
275. #14579154C23semidirect
276. #14579154C23semidirect
277. #14579154C23semidirect
278. #14579154C23semidirect
279. #14579153C23semidirect
280. #14579152C23semidirect
281. #14579152C23semidirect
282. #14579152C23semidirect
283. #14579151C23semidirect
284. #14579151C23semidirect
285. #14579151C23semidirect
286. #14579151C23semidirect
287. #14579151C23semidirect
288. #14579151C23semidirect
290. #14579150C23semidirect
291. #14579150C23semidirect
292. #14579149C23semidirect
294. #14579147C23semidirect
299. #14579146C23semidirect
300. #14579146C23semidirect
302. #14579145C23semidirect
303. #14579145C23semidirect
304. #14579145C23semidirect
308. #14579144C23semidirect
309. #14579144C23semidirect
310. #14579144C23semidirect
314. #14579143C23semidirect
315. #14579143C23semidirect
316. #14579143C23semidirect
318. #14579142C23semidirect
320. #14579141C23semidirect
321. #14579141C23semidirect
322. #14579140C23semidirect
326. #14579139C23semidirect
327. #14579139C23semidirect
328. #14579139C23semidirect
329. #14579138C23semidirect
330. #14579138C23semidirect
331. #14579138C23semidirect
332. #14579138C23semidirect
333. #14579138C23semidirect
334. #14579138C23semidirect
340. #14579137C23semidirect
341. #14579137C23semidirect
342. #14579137C23semidirect
343. #14579137C23semidirect
344. #14579137C23semidirect
345. #14579137C23semidirect
346. #14579137C23semidirect
347. #14579137C23semidirect
348. #14579137C23semidirect
353. #14579134C23semidirect
354. #14579134C23semidirect
358. #14579133C23semidirect
363. C4×Dic158C23semidirect
364. #14579126C23semidirect
367. D4×Dic79C23semidirect
370. #14579123C23semidirect
372. C4×C22⋊D79C23semidirect
376. (C22⋊D79)⋊C4C23semidirect
377. (C22⋊D79)⋊C4C23semidirect
378. (C22⋊D79)⋊C4C23semidirect
379. #14579120C23semidirect
382. #14579118C23semidirect
383. #14579117C23semidirect
384. #14579117C23semidirect
397. C2×C4⋊Dic79C23semidirect
426. C2×Dic79⋊C4C23semidirect
427. C2×Dic79⋊C4C23semidirect
428. C2×Dic79⋊C4C23semidirect
431. C4⋊C4×D79C23semidirect
491. C22×Q8×C79C23semidirect
500. C4⋊Q8×C79C23semidirect
501. C4⋊Q8×C79C23semidirect
502. #124×C79C23semidirect
503. #124×C79C23semidirect
506. #123×C79C23semidirect
507. #123×C79C23semidirect
508. C22⋊Q8×C79C23semidirect
509. C22⋊Q8×C79C23semidirect
510. C22⋊Q8×C79C23semidirect
511. C22⋊Q8×C79C23semidirect
512. #117×C79C23semidirect
974. C2×C79#3535semidirect
1010. C2×#536D79semidirect
1014. C79C2×#3535semidirect
1018. C23×Q8C2×D79semidirect
1048. #536C2×D79semidirect
1053. C2×C4⋊Q8C2×D79semidirect
1054. C2×C4⋊Q8C2×D79semidirect
1083. C2×#124C2×D79semidirect
1084. C2×#124C2×D79semidirect
1113. C2×#123C2×D79semidirect
1114. C2×#123C2×D79semidirect
1146. C2×C22⋊Q8C2×D79semidirect
1147. C2×C22⋊Q8C2×D79semidirect
1148. C2×C22⋊Q8C2×D79semidirect
1149. C2×C22⋊Q8C2×D79semidirect
1186. C2×#117C2×D79semidirect
1219. C22×Q8C22×D79semidirect
1266. C4⋊Q8C22×D79semidirect
1267. C4⋊Q8C22×D79semidirect
1296. #124C22×D79semidirect
1297. #124C22×D79semidirect
1324. #123C22×D79semidirect
1325. #123C22×D79semidirect
1356. C22⋊Q8C22×D79semidirect
1357. C22⋊Q8C22×D79semidirect
1358. C22⋊Q8C22×D79semidirect
1359. C22⋊Q8C22×D79semidirect
1396. #117C22×D79semidirect
1959. C2#23777599direct (N × H)

Maximal subgroups

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

subgroupindex
#237775992
C2×#190993142
C2×#190993122
C2×#190993092
C2×#190993072
C2×#190992742
C2×#190992672
C2×#190992502
C2×#190992462
C2×#190992432
C2×#190992402
C2×#190992372
C2×#190992362
C2×#190992122
C2×#190992112
C2×#190992052
C2×#190992012
C2×#190991902
C2×#190991882
C2×#190991872
C2×#190991772
C2×#190991622
C2×#190991592
C2×#190991572
C2×#190991472
C2×#190991372
C2×#190990712
C2×#123×D792
C22×#145791372
C2×#536×C792
C2×#353579