Finite Group Databasebeta

← C2×#546×D79 #35195187

Subgroups — C2×#546×D79 #35195187

Order 20224.

14462 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D79C211yesmaximal, characteristic, complemented
2C23×D4×D79C211yesmaximal, characteristic, complemented
3C2×#19099210C211yesmaximal, characteristic, complemented
4C2×#19099209C211yesmaximal, characteristic, complemented
5C2×#19099208C211yesmaximal, characteristic, complemented
6C2×#19099207C211yesmaximal, characteristic, complemented
7C2×#19099206C211yesmaximal, characteristic, complemented
8C2×#19099205C212yesmaximal, complemented
9C2×#19099204C211yesmaximal, characteristic, complemented
10C2×#19099203C212yesmaximal, complemented
11C2×#19099202C212yesmaximal, complemented
12C2×#19099201C211yesmaximal, characteristic, complemented
13C2×#19099200C212yesmaximal, complemented
14#546×D79C2132yesmaximal, direct product factor
15C2×#124×D79C211yesmaximal, characteristic, complemented
16C2×#123×D79C212yesmaximal, complemented
17C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
18C2×#121×D79C212yesmaximal, complemented
19C2×#121×D79C211yesmaximal, characteristic, complemented
20C2×#120×D79C212yesmaximal, complemented
21C2×C4×D4×D79C211yesmaximal, characteristic, complemented
22C2×C4×D4×D79C211yesmaximal, characteristic, complemented
23C22×C22⋊C4×D79C212yesmaximal, complemented
24C2×#546×C79C211yesmaximal, characteristic, complemented
25C25×D79C2212yes—
26C22×#11929625C2211yescharacteristic, complemented
27C22×#11929624C2212yescomplemented
28C22×#11929624C2211yescharacteristic, complemented
29C22×#11929623C2211yescharacteristic, complemented
30C22×#11929623C2212yescomplemented
31C2×#41×D79—216no—
32C2×#41×D79C22116yescomplemented
33C22×Q8×D79C2211yescharacteristic, complemented
34C23×D316C2211yescharacteristic, complemented
35C23×C22⋊D79C2212yescomplemented
36C22×D4×D79—216no—
37C22×D4×D79C2211yescharacteristic
38C22×D4×D79C2212yes—
39C22×D4×D79C2211yescharacteristic
40C22×D4×D79C2211yescharacteristic
41C22×D4×D79C2211yescharacteristic, complemented
42C22×D4×D79C2212yescomplemented
43C22×D4×D79C2211yescharacteristic, complemented
44C22×D4×D79C22116yescomplemented
45C22×D4×D79C2212yescomplemented
46C22×D4×D79C2212yescomplemented
47C23×C4×D79C2211yescharacteristic
48C23×C4×D79C2212yescomplemented
49C23×C4×D79C2211yescharacteristic, complemented
50C23×C4×D79C2212yescomplemented
51#19099210C22116yescomplemented
52#19099209C22116yescomplemented
53#19099208C22116yescomplemented
54#19099207C22116yescomplemented
55#19099206C22116yescomplemented
56#19099205C22132yescomplemented
57#19099204C22116yescomplemented
58#19099203C22132yescomplemented
59#19099202C22132yescomplemented
60#19099201C22116yescomplemented
61#19099200C22132yescomplemented
62C2×#14579150C2211yescharacteristic, complemented
63C2×#14579149C2211yescharacteristic, complemented
64C2×#14579148C2211yescharacteristic, complemented
65C2×#14579147C2212yescomplemented
66C2×#14579147C2212yescomplemented
67#124×D79C22116yescomplemented
68C2×#14579146C2212yescomplemented
69C2×#14579146C2212yescomplemented
70C2×#14579145C2212yescomplemented
71C2×#14579144C2212yescomplemented
72C2×#14579143C2212yescomplemented
73C2×#14579143C2212yescomplemented
74C2×#14579142C2212yescomplemented
75#123×D79C22132yescomplemented
76C2×#14579141C2211yescharacteristic, complemented
77C2×#14579140C2211yescharacteristic, complemented
78C2×#14579139C2212yescomplemented
79C2×#14579138C2212yescomplemented
80C2×#14579137C2211yescharacteristic, complemented
81C22⋊Q8×D79C22116yescomplemented
82C2×#14579136C2212yescomplemented
83C2×#14579136C2211yescharacteristic, complemented
84C2×#14579135C2212yescomplemented
85C2×#14579135C2211yescharacteristic, complemented
86C2×#14579134C2212yescomplemented
87C2×#14579134C2212yescomplemented
88C2×#14579134C2212yescomplemented
89C2×#14579133C2212yescomplemented
90C2×#14579133C2212yescomplemented
91C2×#14579133C2212yescomplemented
92C2×#14579132C2211yescharacteristic, complemented
93C2×#14579132C2212yescomplemented
94#121×D79C22132yescomplemented
95#121×D79C22116yescomplemented
96C2×#14579131C2212yescomplemented
97C2×#14579131C2212yescomplemented
98C2×#14579131C2212yescomplemented
99C2×#14579130C2212yescomplemented
100C2×#14579129C2212yescomplemented
101C2×#14579129C2212yescomplemented
102C2×#14579129C2212yescomplemented
103#120×D79C22132yescomplemented
104C2×C4×D316C2211yescharacteristic, complemented
105C2×C4×D316C2211yescharacteristic, complemented
106C2×D4×Dic79C2211yescharacteristic, complemented
107C2×D4×Dic79C2211yescharacteristic, complemented
108C2×#14579123C2211yescharacteristic, complemented
109C2×#14579123C2211yescharacteristic, complemented
110C2×C4×C22⋊D79C2211yescharacteristic, complemented
111C2×C4×C22⋊D79C2211yescharacteristic, complemented
112C2×C4×C22⋊D79C2212yescomplemented
113C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
114C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
115C2×(C22⋊D79)⋊C4C2212yescomplemented
116C4×D4×D79C22116yescomplemented
117C4×D4×D79C22116yescomplemented
118C2×C4⋊C4×D79C2211yescharacteristic, complemented
119C2×C4⋊C4×D79C2211yescharacteristic, complemented
120C2×C4⋊C4×D79C2212yescomplemented
121C22×C22⋊Dic79C2212yescomplemented
122C22×(C2×D79)⋊C4C2212yescomplemented
123C22×(C2×D79)⋊C4C2212yescomplemented
124C2×C22⋊C4×D79C2211yescharacteristic
125C2×C22⋊C4×D79C2212yes—
126C2×C22⋊C4×D79C2212yescomplemented
127C2×C22⋊C4×D79C2212yescomplemented
128C2×C22⋊C4×D79C22132yescomplemented
129C2×C22⋊C4×D79C2212yescomplemented
130C2×C22⋊C4×D79C2212yescomplemented
131C2×C22⋊C4×D79C2212yescomplemented
132C2×C22⋊C4×D79C2212yescomplemented
133C2×C22⋊C4×D79C2212yescomplemented
134C2×C22⋊C4×D79C2211yescharacteristic, complemented
135C2×C22⋊C4×D79C2212yescomplemented
136C2×C42×D79C2211yescharacteristic, complemented
137C22×#41×C79C2211yescharacteristic, complemented
138C23×D4×C79C2211yescharacteristic, complemented
139#546×C79C22116yescomplemented
140C2×#124×C79C2211yescharacteristic, complemented
141C2×#123×C79C2212yescomplemented
142C2×C22⋊Q8×C79C2211yescharacteristic, complemented
143C2×#121×C79C2212yescomplemented
144C2×#121×C79C2211yescharacteristic, complemented
145C2×#120×C79C2212yescomplemented
146C2×C4×D4×C79C2211yescharacteristic, complemented
147C2×C4×D4×C79C2211yescharacteristic, complemented
148C22×C22⋊C4×C79C2212yescomplemented
149C24×D79—216no—
150C24×D79—216no—
151C24×D79—48no—
152C24×D79C2312yes—
153C24×D79C2311yescharacteristic
154C24×D79C23116yes—
155C24×D79C2312yes—
156C24×D79C2312yes—
157C24×D79C2312yes—
158C24×D79C2312yes—
159C24×D79C2311yescharacteristic
160C2×#11929625—28no—
161C2×#11929625C2318yescomplemented
162C2×#11929624—28no—
163C2×#11929624—216no—
164C2×#11929624C23116yescomplemented
165C2×#11929624C2318yescomplemented
166C2×#11929623—28no—
167C2×#11929623—216no—
168C2×#11929623C23116yescomplemented
169C2×#11929623C2318yescomplemented
170#41×D79—2128no—
171C22×Dic158C2312yescomplemented
172C22×Dic158C2311yescharacteristic, complemented
173C2×Q8×D79—28no—
174C2×Q8×D79C2318yescomplemented
175C22×D316—28no—
176C22×D316C2311yescharacteristic
177C22×D316C2312yes—
178C22×D316C2311yescharacteristic
179C22×D316C2311yescharacteristic
180C22×D316C2318yescomplemented
181C22×D316C2312yescomplemented
182C22×D316C2312yescomplemented
183C22×C22⋊D79—216no—
184C22×C22⋊D79C2311yescharacteristic
185C22×C22⋊D79C2311yescharacteristic
186C22×C22⋊D79C2312yes—
187C22×C22⋊D79C2312yes—
188C22×C22⋊D79C2312yes—
189C22×C22⋊D79C2312yes—
190C22×C22⋊D79C23116yescomplemented
191C22×C22⋊D79C2312yescomplemented
192C22×C22⋊D79C2312yescomplemented
193C22×C22⋊D79C2312yescomplemented
194C22×C22⋊D79C2312yescomplemented
195C2×D4×D79—28no—
196C2×D4×D79—216no—
197C2×D4×D79—216no—
198C2×D4×D79—28no—
199C2×D4×D79—28no—
200C2×D4×D79—216no—
201C2×D4×D79—2128no—
202C2×D4×D79—28no—
203C2×D4×D79—48no—
204C2×D4×D79D4116yescomplemented
205C2×D4×D79C2318yes—
206C2×D4×D79C23116yes—
207C2×D4×D79C2318yes—
208C2×D4×D79C2318yes—
209C2×D4×D79C2318yescomplemented
210C2×D4×D79C23116yescomplemented
211C2×D4×D79C2318yescomplemented
212C2×D4×D79C23116yescomplemented
213C2×D4×D79C23116yescomplemented
214C23×Dic79C2311yescharacteristic
215C23×Dic79C2312yescomplemented
216C23×Dic79C2311yescharacteristic, complemented
217C23×Dic79C2312yescomplemented
218C22×C4×D79—216no—
219C22×C4×D79—28no—
220C22×C4×D79—28no—
221C22×C4×D79—48no—
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2312yes—
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2312yes—
227C22×C4×D79C2311yescharacteristic
228C22×C4×D79C2318yes—
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232C22×C4×D79C23116yescomplemented
233C22×C4×D79C2318yescomplemented
234C22×C4×D79C2312yescomplemented
235C22×C4×D79C2312yescomplemented
236C22×C4×D79C2311yescharacteristic, complemented
237C22×C4×D79C2311yescharacteristic, complemented
238C22×C4×D79C23116yescomplemented
239C22×C4×D79C2312yescomplemented
240C22×C4×D79C2312yescomplemented
241#14579150C2318yescomplemented
242#14579149C2318yescomplemented
243#14579148C2318yescomplemented
244#14579147C23116yescomplemented
245#14579147C23116yescomplemented
246#14579146C23116yescomplemented
247#14579146C23116yescomplemented
248#14579145C23116yescomplemented
249#14579144C23116yescomplemented
250#14579143C23116yescomplemented
251#14579143C23116yescomplemented
252#14579142C23116yescomplemented
253#14579141C2318yescomplemented
254#14579140C2318yescomplemented
255#14579139C23116yescomplemented
256#14579138C23116yescomplemented
257#14579137C2318yescomplemented
258#14579136C23116yescomplemented
259#14579136C2318yescomplemented
260#14579135C23116yescomplemented
261#14579135C2318yescomplemented
262#14579134C23116yescomplemented
263#14579134C23116yescomplemented
264#14579134C23116yescomplemented
265#14579133C23116yescomplemented
266#14579133C23116yescomplemented
267#14579133C23116yescomplemented
268#14579132C23116yescomplemented
269#14579132C2318yescomplemented
270#14579131C23116yescomplemented
271#14579131C23116yescomplemented
272#14579131C23116yescomplemented
273#14579130C23116yescomplemented
274#14579129C23116yescomplemented
275#14579129C23116yescomplemented
276#14579129C23116yescomplemented
277C4×D316C2318yescomplemented
278C4×D316C2318yescomplemented
279D4×Dic79C2318yescomplemented
280D4×Dic79C2318yescomplemented
281#14579123C2318yescomplemented
282#14579123C2318yescomplemented
283C4×C22⋊D79C2318yescomplemented
284C4×C22⋊D79C2318yescomplemented
285C4×C22⋊D79C23116yescomplemented
286(C22⋊D79)⋊C4C2318yescomplemented
287(C22⋊D79)⋊C4C2318yescomplemented
288(C22⋊D79)⋊C4C23116yescomplemented
289C2×C4⋊Dic79C2311yescharacteristic, complemented
290C2×C4⋊Dic79C2311yescharacteristic, complemented
291C2×C4⋊Dic79C2312yescomplemented
292C2×Dic79⋊C4C2312yescomplemented
293C2×Dic79⋊C4C2311yescharacteristic, complemented
294C2×Dic79⋊C4C2311yescharacteristic, complemented
295C2×Dic79⋊C4C2312yescomplemented
296C2×Dic79⋊C4C2312yescomplemented
297C4⋊C4×D79C2318yescomplemented
298C4⋊C4×D79C2318yescomplemented
299C4⋊C4×D79C23116yescomplemented
300C2×C22⋊Dic79C2311yescharacteristic
301C2×C22⋊Dic79C2312yes—
302C2×C22⋊Dic79C23116yescomplemented
303C2×C22⋊Dic79C2312yescomplemented
304C2×C22⋊Dic79C2312yescomplemented
305C2×C22⋊Dic79C2312yescomplemented
306C2×C22⋊Dic79C2311yescharacteristic, complemented
307C2×C22⋊Dic79C2312yescomplemented
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2312yes—
311C2×(C2×D79)⋊C4C2312yes—
312C2×(C2×D79)⋊C4C23116yescomplemented
313C2×(C2×D79)⋊C4C23116yescomplemented
314C2×(C2×D79)⋊C4C2312yescomplemented
315C2×(C2×D79)⋊C4C2312yescomplemented
316C2×(C2×D79)⋊C4C2312yescomplemented
317C2×(C2×D79)⋊C4C2312yescomplemented
318C2×(C2×D79)⋊C4C2312yescomplemented
319C2×(C2×D79)⋊C4C2311yescharacteristic, complemented
320C2×(C2×D79)⋊C4C2312yescomplemented
321C2×(C2×D79)⋊C4C2311yescharacteristic, complemented
322C2×(C2×D79)⋊C4C2312yescomplemented
323C2×(C2×D79)⋊C4C2312yescomplemented
324C22⋊C4×D79C2318yes—
325C22⋊C4×D79C23116yes—
326C22⋊C4×D79C23116yescomplemented
327C22⋊C4×D79C23116yescomplemented
328C22⋊C4×D79C23116yescomplemented
329C22⋊C4×D79C23116yescomplemented
330C22⋊C4×D79C23116yescomplemented
331C22⋊C4×D79C23116yescomplemented
332C22⋊C4×D79C23116yescomplemented
333C22⋊C4×D79C2318yescomplemented
334C22⋊C4×D79C23116yescomplemented
335C2×C4×Dic79C2311yescharacteristic, complemented
336C2×C4×Dic79C2311yescharacteristic, complemented
337C2×C4×Dic79C2311yescharacteristic, complemented
338C42×D79C2318yescomplemented
339C25×C79C2312yes—
340C2×#41×C79—28no—
341C2×#41×C79C2318yescomplemented
342C22×Q8×C79C2311yescharacteristic, complemented
343C22×D4×C79—28no—
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2312yes—
346C22×D4×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2318yescomplemented
349C22×D4×C79C2312yescomplemented
350C22×D4×C79C2312yescomplemented
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2312yescomplemented
353C23×C4×C79C2311yescharacteristic, complemented
354C23×C4×C79C2312yescomplemented
355#124×C79C2318yescomplemented
356#123×C79C23116yescomplemented
357C22⋊Q8×C79C2318yescomplemented
358#121×C79C23116yescomplemented
359#121×C79C2318yescomplemented
360#120×C79C23116yescomplemented
361C4×D4×C79C2318yescomplemented
362C4×D4×C79C2318yescomplemented
363C2×C4⋊C4×C79C2311yescharacteristic, complemented
364C2×C4⋊C4×C79C2311yescharacteristic, complemented
365C2×C4⋊C4×C79C2312yescomplemented
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2312yes—
368C2×C22⋊C4×C79C23116yescomplemented
369C2×C22⋊C4×C79C2312yescomplemented
370C2×C22⋊C4×C79C2312yescomplemented
371C2×C22⋊C4×C79C2312yescomplemented
372C2×C22⋊C4×C79C2311yescharacteristic, complemented
373C2×C22⋊C4×C79C2312yescomplemented
374C2×C42×C79C2311yescharacteristic, complemented
375C23×D79—24no—
376C23×D79—28no—
377C23×D79—24no—
378C23×D79—28no—
379C23×D79—28no—
380C23×D79—28no—
381C23×D79—28no—
382C23×D79—264no—
383C23×D79—28no—
384C23×D79—28no—
385C23×D79—24no—
386C23×D79—28no—
387C23×D79—24no—
388C23×D79—28no—
389C23×D79—264no—
390C23×D79—28no—
391C23×D79—28no—
392C23×D79—24no—
393C23×D79—432no—
394C23×D79—44no—
395C23×D79—44no—
396C23×D79—44no—
397C23×D79—4128no—
398C23×D79C2×D4116yes—
399C23×D79#4118yescomplemented
400C23×D79C2418yes—
401C23×D79C2412yes—
402C23×D79C2414yes—
403C23×D79C2411yescharacteristic
404C23×D79C2418yes—
405C23×D79C2418yes—
406C23×D79C2418yes—
407C23×D79C2418yes—
408C23×D79C2412yes—
409C23×D79C2414yes—
410C23×D79C2411yescharacteristic
411C23×D79C2411yescharacteristic
412#11929625—232no—
413#11929624—232no—
414#11929624—264no—
415#11929623—232no—
416#11929623—264no—
417C2×Dic158—28no—
418C2×Dic158—24no—
419C2×Dic158C2418yescomplemented
420C2×Dic158C2414yescomplemented
421Q8×D79—232no—
422C2×D316—232no—
423C2×D316—28no—
424C2×D316—28no—
425C2×D316—24no—
426C2×D316—24no—
427C2×D316—44no—
428C2×D316C2×D418yescomplemented
429C2×D316C2414yes—
430C2×D316C2418yes—
431C2×D316C2414yes—
432C2×D316C2414yes—
433C2×D316C2418yescomplemented
434C2×D316C2418yescomplemented
435C2×C22⋊D79—28no—
436C2×C22⋊D79—28no—
437C2×C22⋊D79—28no—
438C2×C22⋊D79—24no—
439C2×C22⋊D79—28no—
440C2×C22⋊D79—28no—
441C2×C22⋊D79—24no—
442C2×C22⋊D79—264no—
443C2×C22⋊D79—44no—
444C2×C22⋊D79—44no—
445C2×C22⋊D79C2×D4116yescomplemented
446C2×C22⋊D79C2414yes—
447C2×C22⋊D79C2414yes—
448C2×C22⋊D79C2418yes—
449C2×C22⋊D79C2418yes—
450C2×C22⋊D79C2418yes—
451C2×C22⋊D79C2418yes—
452C2×C22⋊D79C2418yescomplemented
453C2×C22⋊D79C2418yescomplemented
454C2×C22⋊D79C2418yescomplemented
455C2×C22⋊D79C2418yescomplemented
456D4×D79—232no—
457D4×D79—232no—
458D4×D79—264no—
459D4×D79—264no—
460D4×D79—232no—
461D4×D79—232no—
462D4×D79—264no—
463D4×D79—432no—
464D4×D79C2×D4164yescomplemented
465C22×Dic79—24no—
466C22×Dic79—24no—
467C22×Dic79—28no—
468C22×Dic79—44no—
469C22×Dic79C2412yes—
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2412yes—
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2414yes—
476C22×Dic79C2411yescharacteristic
477C22×Dic79C2418yescomplemented
478C22×Dic79C2414yescomplemented
479C22×Dic79C2418yescomplemented
480C2×C4×D79—24no—
481C2×C4×D79—24no—
482C2×C4×D79—232no—
483C2×C4×D79—232no—
484C2×C4×D79—28no—
485C2×C4×D79—264no—
486C2×C4×D79—28no—
487C2×C4×D79—28no—
488C2×C4×D79—24no—
489C2×C4×D79—24no—
490C2×C4×D79—24no—
491C2×C4×D79—24no—
492C2×C4×D79—28no—
493C2×C4×D79—24no—
494C2×C4×D79—24no—
495C2×C4×D79—44no—
496C2×C4×D79—44no—
497C2×C4×D79—432no—
498C2×C4×D79C2×D418yes—
499C2×C4×D79C2418yes—
500C2×C4×D79C2414yes—
501C2×C4×D79C2414yes—
502C2×C4×D79C2418yes—
503C2×C4×D79C2414yes—
504C2×C4×D79C2414yes—
505C2×C4×D79C2414yes—
506C2×C4×D79C2414yes—
507C2×C4×D79C2414yes—
508C2×C4×D79C2418yescomplemented
509C2×C4×D79C2414yescomplemented
510C2×C4×D79C2418yescomplemented
511C2×C4×D79C2414yescomplemented
512C2×C4×D79C2418yescomplemented
513C2×C4×D79C2418yescomplemented
514C4⋊Dic79C2414yescomplemented
515C4⋊Dic79C2414yescomplemented
516C4⋊Dic79C2418yescomplemented
517Dic79⋊C4C2418yescomplemented
518Dic79⋊C4C2414yescomplemented
519Dic79⋊C4C2414yescomplemented
520Dic79⋊C4C2418yescomplemented
521Dic79⋊C4C2418yescomplemented
522C22⋊Dic79C2414yes—
523C22⋊Dic79C2418yes—
524C22⋊Dic79C2418yescomplemented
525C22⋊Dic79C2418yescomplemented
526C22⋊Dic79C2418yescomplemented
527C22⋊Dic79C2414yescomplemented
528C22⋊Dic79C2418yescomplemented
529(C2×D79)⋊C4C2414yes—
530(C2×D79)⋊C4C2414yes—
531(C2×D79)⋊C4C2418yes—
532(C2×D79)⋊C4C2418yes—
533(C2×D79)⋊C4C2418yescomplemented
534(C2×D79)⋊C4C2418yescomplemented
535(C2×D79)⋊C4C2418yescomplemented
536(C2×D79)⋊C4C2418yescomplemented
537(C2×D79)⋊C4C2418yescomplemented
538(C2×D79)⋊C4C2414yescomplemented
539(C2×D79)⋊C4C2418yescomplemented
540(C2×D79)⋊C4C2414yescomplemented
541(C2×D79)⋊C4C2418yescomplemented
542(C2×D79)⋊C4C2418yescomplemented
543C4×Dic79C2414yescomplemented
544C4×Dic79C2414yescomplemented
545C4×Dic79C2414yescomplemented
546C24×C79—28no—
547C24×C79—28no—
548C24×C79—44no—
549C24×C79C2412yes—
550C24×C79C2411yescharacteristic
551C24×C79C2418yes—
552C24×C79C2412yes—
553C24×C79C2411yescharacteristic
554#41×C79—232no—
555C2×Q8×C79—24no—
556C2×Q8×C79C2414yescomplemented
557C2×D4×C79—28no—
558C2×D4×C79—28no—
559C2×D4×C79—24no—
560C2×D4×C79—232no—
561C2×D4×C79—24no—
562C2×D4×C79—44no—
563C2×D4×C79C2×D418yescomplemented
564C2×D4×C79C2414yes—
565C2×D4×C79C2418yes—
566C2×D4×C79C2414yes—
567C2×D4×C79C2414yes—
568C2×D4×C79C2418yescomplemented
569C2×D4×C79C2418yescomplemented
570C22×C4×C79—28no—
571C22×C4×C79—24no—
572C22×C4×C79—24no—
573C22×C4×C79—44no—
574C22×C4×C79C2412yes—
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2412yes—
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2414yes—
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2418yescomplemented
583C22×C4×C79C2414yescomplemented
584C22×C4×C79C2418yescomplemented
585C4⋊C4×C79C2414yescomplemented
586C4⋊C4×C79C2414yescomplemented
587C4⋊C4×C79C2418yescomplemented
588C22⋊C4×C79C2414yes—
589C22⋊C4×C79C2418yes—
590C22⋊C4×C79C2418yescomplemented
591C22⋊C4×C79C2418yescomplemented
592C22⋊C4×C79C2418yescomplemented
593C22⋊C4×C79C2414yescomplemented
594C22⋊C4×C79C2418yescomplemented
595C42×C79C2414yescomplemented
596C23×C79—22no—
597C23×C79—24no—
598C23×C79—24no—
599C23×C79—22no—
600C23×C79—22no—
601C23×C79—216no—
602C23×C79—24no—
603C23×C79—22no—
604C23×C79—24no—
605C23×C79—216no—
606C23×C79—22no—
607C23×C79—24no—
608C23×C79—48no—
609C23×C79—432no—
610C23×C79C22×D418yes—
611C23×C79C2×#4114yescomplemented
612C23×C79C2514yes—
613C23×C79C2512yes—
614C23×C79C2514yes—
615C23×C79C2512yes—
616C23×C79C2511yescharacteristic
617C22×D79—22no—
618C22×D79—24no—
619C22×D79—24no—
620C22×D79—22no—
621C22×D79—232no—
622C22×D79—264no—
623C22×D79—28no—
624C22×D79—216no—
625C22×D79—216no—
626C22×D79—28no—
627C22×D79—22no—
628C22×D79—216no—
629C22×D79—24no—
630C22×D79—22no—
631C22×D79—24no—
632C22×D79—216no—
633C22×D79—22no—
634C22×D79—24no—
635C22×D79—28no—
636C22×D79—216no—
637C22×D79—216no—
638C22×D79—216no—
639C22×D79—28no—
640C22×D79—216no—
641C22×D79—216no—
642C22×D79—216no—
643C22×D79—28no—
644C22×D79—216no—
645C22×D79—48no—
646C22×D79—48no—
647C22×D79—48no—
648C22×D79—432no—
649C22×D79—4256no—
650C22×D79—432no—
651C22×D79—432no—
652C22×D79—416no—
653C22×D79—432no—
654C22×D79C22×D4132yes—
655C22×D79C22×D418yes—
656C22×D79C22×D414yes—
657C22×D79C2×#4114yes—
658C22×D79C2×#41116yescomplemented
659C22×D79C2×#4114yescomplemented
660C22×D79H(5,𝔽2)14yes—
661C22×D79C2514yes—
662C22×D79C2512yes—
663C22×D79C2514yes—
664C22×D79C2512yes—
665C22×D79C2512yes—
666Q8×C79—28no—
667D4×C79—216no—
668D4×C79—216no—
669D4×C79—28no—
670D4×C79—28no—
671D4×C79—48no—
672D4×C79C22×D4116yescomplemented
673C2×C4×C79—22no—
674C2×C4×C79—22no—
675C2×C4×C79—24no—
676C2×C4×C79—216no—
677C2×C4×C79—22no—
678C2×C4×C79—22no—
679C2×C4×C79—24no—
680C2×C4×C79—28no—
681C2×C4×C79—28no—
682C2×C4×C79—48no—
683C2×C4×C79C22×D414yes—
684C2×C4×C79C2512yes—
685C2×C4×C79C2512yes—
686C2×C4×C79C2514yes—
687C2×C4×C79C2512yes—
688C2×C4×C79C2514yes—
689C2×C4×C79C2512yes—
690C2×C4×C79C2512yes—
691C22⋊D79—216no—
692C22⋊D79—216no—
693C22⋊D79—28no—
694C22⋊D79—216no—
695C22⋊D79—216no—
696C22⋊D79—28no—
697C22⋊D79—216no—
698C22⋊D79—48no—
699C22⋊D79—48no—
700C22⋊D79C22×D4132yescomplemented
701C2×Dic79—22no—
702C2×Dic79—22no—
703C2×Dic79—24no—
704C2×Dic79—216no—
705C2×Dic79—22no—
706C2×Dic79—22no—
707C2×Dic79—24no—
708C2×Dic79—28no—
709C2×Dic79—28no—
710C2×Dic79—48no—
711C2×Dic79C22×D414yes—
712C2×Dic79C2512yes—
713C2×Dic79C2512yes—
714C2×Dic79C2514yes—
715C2×Dic79C2512yes—
716C2×Dic79C2514yes—
717C2×Dic79C2512yes—
718C2×Dic79C2512yes—
719D316—216no—
720D316—216no—
721D316—28no—
722D316—28no—
723D316—48no—
724D316C22×D4116yescomplemented
725C4×D79—28no—
726C4×D79—28no—
727C4×D79—216no—
728C4×D79—216no—
729C4×D79—216no—
730C4×D79—28no—
731C4×D79—28no—
732C4×D79—216no—
733C4×D79—28no—
734C4×D79—28no—
735C4×D79—28no—
736C4×D79—28no—
737C4×D79—48no—
738C4×D79—48no—
739C4×D79C22×D4116yes—
740Dic158—28no—
741Dic158—216no—
742C22×C79—22no—
743C22×C79—24no—
744C22×C79—24no—
745C22×C79—22no—
746C22×C79—28no—
747C22×C79—216no—
748C22×C79—22no—
749C22×C79—24no—
750C22×C79—22no—
751C22×C79—24no—
752C22×C79—22no—
753C22×C79—24no—
754C22×C79—432no—
755C22×C79—48no—
756C22×C79—44no—
757C22×C79C23×D418yes—
758C22×C79C23×D412yes—
759C22×C79C22×#4112yes—
760C22×C79C22×#4114yescomplemented
761C22×C79C2×H(5,𝔽2)12yes—
762C22×C79C2611yescharacteristic
763C2×D79—22no—
764C2×D79—24no—
765C2×D79—22no—
766C2×D79—24no—
767C2×D79—28no—
768C2×D79—216no—
769C2×D79—232no—
770C2×D79—264no—
771C2×D79—24no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—24no—
775C2×D79—22no—
776C2×D79—24no—
777C2×D79—432no—
778C2×D79—432no—
779C2×D79—432no—
780C2×D79—44no—
781C2×D79—48no—
782C2×D79—416no—
783C2×D79—432no—
784C2×D79#546116yesdirect product factor
785C2×D79C23×D418yes—
786C2×D79C23×D414yes—
787C2×D79C22×#4114yes—
788C2×D79C22×#4114yescomplemented
789C2×D79C2×H(5,𝔽2)14yes—
790C4×C79—22no—
791C4×C79—22no—
792C4×C79—24no—
793C4×C79—22no—
794C4×C79—22no—
795C4×C79—24no—
796C4×C79C23×D414yes—
797Dic79—22no—
798Dic79—24no—
799Dic79—22no—
800Dic79—22no—
801Dic79—24no—
802Dic79—22no—
803Dic79C23×D414yes—
804C22×#546—791nomaximal, Sylow
805C2×C79—24no—
806C2×C79—28no—
807C2×C79—44no—
808C2×C79—42no—
809C2×C79C2×#54614yescomplemented
810C2×C79C24×D411yescharacteristic
811C2×C79C23×#4111yescharacteristic
812C2×C79C22×H(5,𝔽2)11yescharacteristic
813D79—24no—
814D79—28no—
815D79—42no—
816D79—44no—
817D79C2×#54618yesdirect product factor
818C23×#41—791no—
819C24×D4—791no—
820C2×#546—791no—
821C2×#546—791no—
822C2×#546—7932no—
823C2×#546—791no—
824C2×#546—792no—
825C2×#546—791no—
826C2×#546—792no—
827C2×#546—791no—
828C2×#546—792no—
829C2×#546—791no—
830C2×#546—791no—
831C2×#546—792no—
832C2×#546D7911yescharacteristic, direct product factor
833C22×#124—791no—
834C22×#123—792no—
835C22×C22⋊Q8—791no—
836C22×#121—791no—
837C22×#121—792no—
838C22×#120—792no—
839C22×C4×D4—791no—
840C22×C4×D4—791no—
841C23×C22⋊C4—792no—
842C79C22×#54611yescharacteristic, complemented, Sylow
843C26—792no—
844C22×#41—7916no—
845C22×#41—791no—
846C22×#41—791no—
847C22×#41—792no—
848C22×#41—791no—
849C22×#41—792no—
850C22×#41—15816no—
851C22×#41C2×D7911yescharacteristic, complemented
852C23×Q8—791no—
853C23×D4—792no—
854C23×D4—791no—
855C23×D4—792no—
856C23×D4—792no—
857C23×D4—791no—
858C23×D4—792no—
859C23×D4—791no—
860C23×D4—791no—
861C23×D4—791no—
862C23×D4—7916no—
863C23×D4—792no—
864C23×D4—791no—
865C23×D4—15816no—
866C23×D4C2×D7911yescharacteristic, complemented
867C24×C4—792no—
868C24×C4—791no—
869C24×C4—792no—
870C24×C4—791no—
871#546—7916no—
872#546—7916no—
873#546—7916no—
874#546—7932no—
875#546—7916no—
876#546—7932no—
877#546—7916no—
878#546—7932no—
879#546—7916no—
880#546—7916no—
881#546—7932no—
882#546C2×D79116yesdirect product factor
883C2×#124—791no—
884C2×#124—791no—
885C2×#124—7916no—
886C2×#124—792no—
887C2×#124—792no—
888C2×#124—791no—
889C2×#124C2×D7911yescharacteristic, complemented
890C2×#123—792no—
891C2×#123—792no—
892C2×#123—7932no—
893C2×#123—792no—
894C2×#123—792no—
895C2×#123—792no—
896C2×#123—792no—
897C2×#123—792no—
898C2×#123C2×D7912yescomplemented
899C2×C22⋊Q8—791no—
900C2×C22⋊Q8—791no—
901C2×C22⋊Q8—7916no—
902C2×C22⋊Q8—792no—
903C2×C22⋊Q8—791no—
904C2×C22⋊Q8—792no—
905C2×C22⋊Q8C2×D7911yescharacteristic, complemented
906C2×#121—791no—
907C2×#121—792no—
908C2×#121—792no—
909C2×#121—792no—
910C2×#121—792no—
911C2×#121—791no—
912C2×#121—792no—
913C2×#121—7916no—
914C2×#121—7932no—
915C2×#121—791no—
916C2×#121—792no—
917C2×#121—792no—
918C2×#121—792no—
919C2×#121—792no—
920C2×#121C2×D7911yescharacteristic, complemented
921C2×#121C2×D7912yescomplemented
922C2×#120—792no—
923C2×#120—792no—
924C2×#120—792no—
925C2×#120—792no—
926C2×#120—7932no—
927C2×#120—792no—
928C2×#120—792no—
929C2×#120—792no—
930C2×#120C2×D7912yescomplemented
931C2×C4×D4—791no—
932C2×C4×D4—791no—
933C2×C4×D4—791no—
934C2×C4×D4—792no—
935C2×C4×D4—791no—
936C2×C4×D4—7916no—
937C2×C4×D4—7916no—
938C2×C4×D4—791no—
939C2×C4×D4—791no—
940C2×C4×D4—791no—
941C2×C4×D4—791no—
942C2×C4×D4—792no—
943C2×C4×D4—791no—
944C2×C4×D4—791no—
945C2×C4×D4C2×D7911yescharacteristic, complemented
946C2×C4×D4C2×D7911yescharacteristic, complemented
947C22×C4⋊C4—791no—
948C22×C4⋊C4—791no—
949C22×C4⋊C4—792no—
950C22×C22⋊C4—792no—
951C22×C22⋊C4—792no—
952C22×C22⋊C4—792no—
953C22×C22⋊C4—791no—
954C22×C22⋊C4—792no—
955C22×C22⋊C4—792no—
956C22×C22⋊C4—792no—
957C22×C22⋊C4—792no—
958C22×C22⋊C4—792no—
959C22×C22⋊C4—792no—
960C22×C22⋊C4—792no—
961C22×C22⋊C4—7932no—
962C22×C22⋊C4—792no—
963C22×C22⋊C4—791no—
964C22×C22⋊C4—792no—
965C22×C22⋊C4C2×D7912yescomplemented
966C22×C42—791no—
967C25—3168no—
968C25—792no—
969C25—792no—
970C25—792no—
971C25—7916no—
972C25—791no—
973C25—792no—
974C25—792no—
975C25—791no—
976C25—15816no—
977C25—15816no—
978C25C22×D7912yes—
979C2×#41—28no—
980C2×#41—798no—
981C2×#41—798no—
982C2×#41—7916no—
983C2×#41—798no—
984C2×#41—7916no—
985C2×#41—15816no—
986C2×#41—1588no—
987C2×#41—15816no—
988C2×#41—1588no—
989C2×#41—158128no—
990C2×#41—1588no—
991C2×#41C22×D7918yescomplemented
992C22×Q8—798no—
993C22×Q8—792no—
994C22×Q8—791no—
995C22×Q8—1588no—
996C22×Q8C22×D7911yescharacteristic, complemented
997C22×D4—28no—
998C22×D4—3168no—
999C22×D4—792no—
1000C22×D4—792no—
1001C22×D4—7916no—
1002C22×D4—792no—
1003C22×D4—7916no—
1004C22×D4—798no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—792no—
1008C22×D4—792no—
1009C22×D4—792no—
1010C22×D4—792no—
1011C22×D4—792no—
1012C22×D4—7916no—
1013C22×D4—798no—
1014C22×D4—7916no—
1015C22×D4—798no—
1016C22×D4—7916no—
1017C22×D4—798no—
1018C22×D4—798no—
1019C22×D4—7916no—
1020C22×D4—792no—
1021C22×D4—791no—
1022C22×D4—791no—
1023C22×D4—792no—
1024C22×D4—792no—
1025C22×D4—791no—
1026C22×D4—798no—
1027C22×D4—1588no—
1028C22×D4—1588no—
1029C22×D4—15816no—
1030C22×D4—158128no—
1031C22×D4—1588no—
1032C22×D4—15816no—
1033C22×D4—15816no—
1034C22×D4—1588no—
1035C22×D4—15816no—
1036C22×D4—1588no—
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7912yes—
1039C22×D4C22×D7911yescharacteristic
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7918yescomplemented
1042C22×D4C22×D7912yescomplemented
1043C22×D4C22×D7912yescomplemented
1044C23×C4—3168no—
1045C23×C4—792no—
1046C23×C4—792no—
1047C23×C4—792no—
1048C23×C4—7916no—
1049C23×C4—791no—
1050C23×C4—792no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4—792no—
1056C23×C4—791no—
1057C23×C4—792no—
1058C23×C4—792no—
1059C23×C4—792no—
1060C23×C4—791no—
1061C23×C4—791no—
1062C23×C4—791no—
1063C23×C4—791no—
1064C23×C4—798no—
1065C23×C4—791no—
1066C23×C4—7916no—
1067C23×C4—798no—
1068C23×C4—1588no—
1069C23×C4—1588no—
1070C23×C4—15816no—
1071C23×C4C22×D7911yescharacteristic
1072C23×C4C22×D7912yescomplemented
1073C23×C4C22×D7911yescharacteristic, complemented
1074C23×C4C22×D7912yescomplemented
1075#124—798no—
1076#124—798no—
1077#124—7916no—
1078#124—7916no—
1079#124—798no—
1080#124C22×D7918yescomplemented
1081#123—7916no—
1082#123—7916no—
1083#123—7916no—
1084#123—7916no—
1085#123—7916no—
1086#123—7916no—
1087#123—7916no—
1088#123C22×D79116yescomplemented
1089C22⋊Q8—798no—
1090C22⋊Q8—798no—
1091C22⋊Q8—7916no—
1092C22⋊Q8—798no—
1093C22⋊Q8—7916no—
1094C22⋊Q8C22×D7918yescomplemented
1095#121—798no—
1096#121—7916no—
1097#121—7916no—
1098#121—7916no—
1099#121—7916no—
1100#121—798no—
1101#121—7916no—
1102#121—798no—
1103#121—7916no—
1104#121—7916no—
1105#121—7916no—
1106#121—7916no—
1107#121C22×D7918yescomplemented
1108#121C22×D79116yescomplemented
1109#120—7916no—
1110#120—7916no—
1111#120—7916no—
1112#120—7916no—
1113#120—7916no—
1114#120—7916no—
1115#120—7916no—
1116#120C22×D79116yescomplemented
1117C4×D4—798no—
1118C4×D4—798no—
1119C4×D4—798no—
1120C4×D4—7916no—
1121C4×D4—798no—
1122C4×D4—798no—
1123C4×D4—798no—
1124C4×D4—798no—
1125C4×D4—798no—
1126C4×D4—7916no—
1127C4×D4—798no—
1128C4×D4—798no—
1129C4×D4C22×D7918yescomplemented
1130C4×D4C22×D7918yescomplemented
1131C2×C4⋊C4—792no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—792no—
1137C2×C4⋊C4—792no—
1138C2×C4⋊C4—792no—
1139C2×C4⋊C4—798no—
1140C2×C4⋊C4—798no—
1141C2×C4⋊C4—7916no—
1142C2×C4⋊C4C22×D7911yescharacteristic, complemented
1143C2×C4⋊C4C22×D7911yescharacteristic, complemented
1144C2×C4⋊C4C22×D7912yescomplemented
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—792no—
1147C2×C22⋊C4—792no—
1148C2×C22⋊C4—792no—
1149C2×C22⋊C4—7916no—
1150C2×C22⋊C4—792no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—792no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—792no—
1156C2×C22⋊C4—792no—
1157C2×C22⋊C4—792no—
1158C2×C22⋊C4—792no—
1159C2×C22⋊C4—792no—
1160C2×C22⋊C4—792no—
1161C2×C22⋊C4—792no—
1162C2×C22⋊C4—792no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—792no—
1166C2×C22⋊C4—792no—
1167C2×C22⋊C4—7916no—
1168C2×C22⋊C4—7916no—
1169C2×C22⋊C4—798no—
1170C2×C22⋊C4—7916no—
1171C2×C22⋊C4—7916no—
1172C2×C22⋊C4—7916no—
1173C2×C22⋊C4—7916no—
1174C2×C22⋊C4—7916no—
1175C2×C22⋊C4—7916no—
1176C2×C22⋊C4—7916no—
1177C2×C22⋊C4—7916no—
1178C2×C22⋊C4—798no—
1179C2×C22⋊C4—7916no—
1180C2×C22⋊C4C22×D7911yescharacteristic
1181C2×C22⋊C4C22×D7912yes—
1182C2×C22⋊C4C22×D79116yescomplemented
1183C2×C22⋊C4C22×D7912yescomplemented
1184C2×C22⋊C4C22×D7912yescomplemented
1185C2×C22⋊C4C22×D7912yescomplemented
1186C2×C22⋊C4C22×D7911yescharacteristic, complemented
1187C2×C22⋊C4C22×D7912yescomplemented
1188C2×C42—791no—
1189C2×C42—791no—
1190C2×C42—791no—
1191C2×C42—798no—
1192C2×C42C22×D7911yescharacteristic, complemented
1193C24—28no—
1194C24—28no—
1195C24—44no—
1196C24—3164no—
1197C24—3164no—
1198C24—3164no—
1199C24—316128no—
1200C24—31632no—
1201C24—798no—
1202C24—798no—
1203C24—798no—
1204C24—791no—
1205C24—798no—
1206C24—794no—
1207C24—798no—
1208C24—791no—
1209C24—792no—
1210C24—7916no—
1211C24—798no—
1212C24—794no—
1213C24—792no—
1214C24—791no—
1215C24—1584no—
1216C24—1584no—
1217C24—1588no—
1218C24—1588no—
1219C24—1588no—
1220C24—1588no—
1221C24—15864no—
1222C24—1584no—
1223C24—1588no—
1224C24—1588no—
1225C24—1588no—
1226C24—15864no—
1227C24—1588no—
1228C24—1584no—
1229C24—1584no—
1230C24—1588no—
1231C24—1588no—
1232C24—1588no—
1233C24C23×D7912yes—
1234C24C23×D7911yescharacteristic
1235C24C23×D7918yes—
1236C24C23×D7911yescharacteristic
1237C24C23×D7912yes—
1238#41—232no—
1239#41—15864no—
1240#41—15832no—
1241#41—15864no—
1242#41—15832no—
1243#41—15832no—
1244C2×Q8—24no—
1245C2×Q8—798no—
1246C2×Q8—794no—
1247C2×Q8—1588no—
1248C2×Q8—15832no—
1249C2×Q8—1584no—
1250C2×Q8C23×D7914yescomplemented
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—232no—
1255C2×D4—24no—
1256C2×D4—44no—
1257C2×D4—3164no—
1258C2×D4—31632no—
1259C2×D4—3164no—
1260C2×D4—3164no—
1261C2×D4—798no—
1262C2×D4—798no—
1263C2×D4—798no—
1264C2×D4—7916no—
1265C2×D4—7964no—
1266C2×D4—794no—
1267C2×D4—794no—
1268C2×D4—798no—
1269C2×D4—798no—
1270C2×D4—798no—
1271C2×D4—798no—
1272C2×D4—798no—
1273C2×D4—798no—
1274C2×D4—794no—
1275C2×D4—794no—
1276C2×D4—798no—
1277C2×D4—794no—
1278C2×D4—798no—
1279C2×D4—798no—
1280C2×D4—15832no—
1281C2×D4—1584no—
1282C2×D4—1588no—
1283C2×D4—1588no—
1284C2×D4—15832no—
1285C2×D4—1588no—
1286C2×D4—15864no—
1287C2×D4—15832no—
1288C2×D4—15832no—
1289C2×D4—15864no—
1290C2×D4—15864no—
1291C2×D4—15864no—
1292C2×D4—1584no—
1293C2×D4—1588no—
1294C2×D4—1588no—
1295C2×D4—1584no—
1296C2×D4—1588no—
1297C2×D4—1588no—
1298C2×D4—15832no—
1299C2×D4—1584no—
1300C2×D4D4×D7918yescomplemented
1301C2×D4C23×D7914yes—
1302C2×D4C23×D7918yes—
1303C2×D4C23×D7914yes—
1304C2×D4C23×D7914yes—
1305C2×D4C23×D7918yescomplemented
1306C2×D4C23×D7918yescomplemented
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—44no—
1311C22×C4—3164no—
1312C22×C4—3164no—
1313C22×C4—31632no—
1314C22×C4—3164no—
1315C22×C4—798no—
1316C22×C4—798no—
1317C22×C4—798no—
1318C22×C4—791no—
1319C22×C4—794no—
1320C22×C4—798no—
1321C22×C4—794no—
1322C22×C4—798no—
1323C22×C4—794no—
1324C22×C4—791no—
1325C22×C4—791no—
1326C22×C4—792no—
1327C22×C4—791no—
1328C22×C4—792no—
1329C22×C4—791no—
1330C22×C4—794no—
1331C22×C4—794no—
1332C22×C4—798no—
1333C22×C4—794no—
1334C22×C4—798no—
1335C22×C4—794no—
1336C22×C4—794no—
1337C22×C4—794no—
1338C22×C4—798no—
1339C22×C4—798no—
1340C22×C4—794no—
1341C22×C4—794no—
1342C22×C4—1584no—
1343C22×C4—15832no—
1344C22×C4—1584no—
1345C22×C4—15832no—
1346C22×C4—1584no—
1347C22×C4—1588no—
1348C22×C4—1584no—
1349C22×C4—1584no—
1350C22×C4—1588no—
1351C22×C4—1588no—
1352C22×C4—1588no—
1353C22×C4—15864no—
1354C22×C4—1584no—
1355C22×C4—1584no—
1356C22×C4—1584no—
1357C22×C4—1588no—
1358C22×C4—1584no—
1359C22×C4—1584no—
1360C22×C4C23×D7914yes—
1361C22×C4C23×D7911yescharacteristic
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7912yes—
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7912yes—
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7918yescomplemented
1369C22×C4C23×D7914yescomplemented
1370C22×C4C23×D7918yescomplemented
1371C4⋊C4—798no—
1372C4⋊C4—794no—
1373C4⋊C4—794no—
1374C4⋊C4—798no—
1375C4⋊C4—798no—
1376C4⋊C4—794no—
1377C4⋊C4—794no—
1378C4⋊C4—798no—
1379C4⋊C4C23×D7914yescomplemented
1380C4⋊C4C23×D7914yescomplemented
1381C4⋊C4C23×D7918yescomplemented
1382C22⋊C4—794no—
1383C22⋊C4—798no—
1384C22⋊C4—798no—
1385C22⋊C4—798no—
1386C22⋊C4—798no—
1387C22⋊C4—794no—
1388C22⋊C4—798no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—798no—
1392C22⋊C4—798no—
1393C22⋊C4—798no—
1394C22⋊C4—798no—
1395C22⋊C4—798no—
1396C22⋊C4—798no—
1397C22⋊C4—798no—
1398C22⋊C4—798no—
1399C22⋊C4—794no—
1400C22⋊C4—794no—
1401C22⋊C4—798no—
1402C22⋊C4—798no—
1403C22⋊C4C23×D7914yes—
1404C22⋊C4C23×D7918yes—
1405C22⋊C4C23×D7918yescomplemented
1406C22⋊C4C23×D7918yescomplemented
1407C22⋊C4C23×D7918yescomplemented
1408C22⋊C4C23×D7914yescomplemented
1409C22⋊C4C23×D7918yescomplemented
1410C42—794no—
1411C42—794no—
1412C42—794no—
1413C42C23×D7914yescomplemented
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—216no—
1422C23—24no—
1423C23—22no—
1424C23—24no—
1425C23—216no—
1426C23—48no—
1427C23—432no—
1428C23—31632no—
1429C23—31632no—
1430C23—3168no—
1431C23—3168no—
1432C23—3168no—
1433C23—31632no—
1434C23—31616no—
1435C23—316256no—
1436C23—31632no—
1437C23—794no—
1438C23—792no—
1439C23—794no—
1440C23—794no—
1441C23—792no—
1442C23—794no—
1443C23—7932no—
1444C23—798no—
1445C23—794no—
1446C23—7916no—
1447C23—794no—
1448C23—792no—
1449C23—1588no—
1450C23—1588no—
1451C23—15816no—
1452C23—15816no—
1453C23—15816no—
1454C23—15816no—
1455C23—1588no—
1456C23—15816no—
1457C23—15816no—
1458C23—15816no—
1459C23—15816no—
1460C23—1588no—
1461C23—15832no—
1462C23—1588no—
1463C23—15864no—
1464C23—15816no—
1465C23—1582no—
1466C23—1584no—
1467C23—1582no—
1468C23—15816no—
1469C23—1584no—
1470C23—1582no—
1471C23—1584no—
1472C23—15816no—
1473C23—1584no—
1474C23—1582no—
1475C23—1582no—
1476C23—1584no—
1477C23C2×D4×D7918yes—
1478C23#41×D7914yescomplemented
1479C23C24×D7914yes—
1480C23C24×D7912yes—
1481C23C24×D7914yes—
1482C23C24×D7912yes—
1483C23C24×D7911yescharacteristic
1484Q8—28no—
1485Q8—15816no—
1486Q8—1588no—
1487D4—216no—
1488D4—216no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—3168no—
1493D4—3168no—
1494D4—3168no—
1495D4—7932no—
1496D4—7916no—
1497D4—15816no—
1498D4—15816no—
1499D4—1588no—
1500D4—15816no—
1501D4—1588no—
1502D4—15816no—
1503D4—15816no—
1504D4—15816no—
1505D4—15816no—
1506D4—1588no—
1507D4—1588no—
1508D4C2×D4×D79116yescomplemented
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—216no—
1515C2×C4—22no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—48no—
1519C2×C4—3168no—
1520C2×C4—3168no—
1521C2×C4—3168no—
1522C2×C4—792no—
1523C2×C4—794no—
1524C2×C4—7916no—
1525C2×C4—792no—
1526C2×C4—792no—
1527C2×C4—794no—
1528C2×C4—792no—
1529C2×C4—794no—
1530C2×C4—792no—
1531C2×C4—1588no—
1532C2×C4—1588no—
1533C2×C4—1588no—
1534C2×C4—15816no—
1535C2×C4—1588no—
1536C2×C4—1588no—
1537C2×C4—15816no—
1538C2×C4—15816no—
1539C2×C4—15816no—
1540C2×C4—1588no—
1541C2×C4—1588no—
1542C2×C4—1588no—
1543C2×C4—1582no—
1544C2×C4—1584no—
1545C2×C4—1582no—
1546C2×C4—1582no—
1547C2×C4—1584no—
1548C2×C4—15816no—
1549C2×C4—1582no—
1550C2×C4—1588no—
1551C2×C4—1588no—
1552C2×C4C2×D4×D7914yes—
1553C2×C4C24×D7912yes—
1554C2×C4C24×D7912yes—
1555C2×C4C24×D7914yes—
1556C2×C4C24×D7912yes—
1557C2×C4C24×D7914yes—
1558C2×C4C24×D7912yes—
1559C2×C4C24×D7912yes—
1560C22—28no—
1561C22—216no—
1562C22—22no—
1563C22—24no—
1564C22—24no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—432no—
1573C22—48no—
1574C22—44no—
1575C22—31632no—
1576C22—31632no—
1577C22—31632no—
1578C22—31616no—
1579C22—31632no—
1580C22—3168no—
1581C22—3164no—
1582C22—7916no—
1583C22—794no—
1584C22—794no—
1585C22—794no—
1586C22—798no—
1587C22—794no—
1588C22—15832no—
1589C22—15864no—
1590C22—1582no—
1591C22—1584no—
1592C22—1582no—
1593C22—1584no—
1594C22—1582no—
1595C22—1584no—
1596C22—1588no—
1597C22—15816no—
1598C22—1582no—
1599C22—1584no—
1600C22—1584no—
1601C22—1582no—
1602C22C22×D4×D7918yes—
1603C22C22×D4×D7912yes—
1604C22C2×#41×D7912yes—
1605C22C2×#41×D7914yescomplemented
1606C22H(5,𝔽2)×D7912yes—
1607C22C25×D7911yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—794no—
1615C4—1582no—
1616C4—1582no—
1617C4—1584no—
1618C4—1582no—
1619C4—1582no—
1620C4—1584no—
1621C4C22×D4×D7914yes—
1622C2—24no—
1623C2—28no—
1624C2—44no—
1625C2—42no—
1626C2—3164no—
1627C2—3162no—
1628C2—798no—
1629C2—1584no—
1630C2—1588no—
1631C2#546×D7914yesdirect product factor
1632C2C23×D4×D7911yescharacteristic
1633C2C22×#41×D7911yescharacteristic
1634C2C2×H(5,𝔽2)×D7911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#546×C79C2
socleC23×C79C25
hypercenterC2×#546D79
hypocenterC79C22×#546
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#41×D79C2semidirect
2. C23×D4×D79C2semidirect
3. C2×#19099210C2semidirect
4. C2×#19099209C2semidirect
5. C2×#19099208C2semidirect
6. C2×#19099207C2semidirect
7. C2×#19099206C2semidirect
8. C2×#19099205C2semidirect
9. C2×#19099204C2semidirect
10. C2×#19099203C2semidirect
11. C2×#19099202C2semidirect
12. C2×#19099201C2semidirect
13. C2×#19099200C2semidirect
14. #546×D79C2direct (N × H)
15. C2×#124×D79C2semidirect
16. C2×#123×D79C2semidirect
17. C2×C22⋊Q8×D79C2semidirect
18. C2×#121×D79C2semidirect
19. C2×#121×D79C2semidirect
20. C2×#120×D79C2semidirect
21. C2×C4×D4×D79C2semidirect
22. C2×C4×D4×D79C2semidirect
23. C22×C22⋊C4×D79C2semidirect
24. C2×#546×C79C2semidirect
26. C22×#11929625C22semidirect
27. C22×#11929624C22semidirect
28. C22×#11929624C22semidirect
29. C22×#11929623C22semidirect
30. C22×#11929623C22semidirect
32. C2×#41×D79C22semidirect
33. C22×Q8×D79C22semidirect
34. C23×D316C22semidirect
35. C23×C22⋊D79C22semidirect
41. C22×D4×D79C22semidirect
42. C22×D4×D79C22semidirect
43. C22×D4×D79C22semidirect
44. C22×D4×D79C22semidirect
45. C22×D4×D79C22semidirect
46. C22×D4×D79C22semidirect
48. C23×C4×D79C22semidirect
49. C23×C4×D79C22semidirect
50. C23×C4×D79C22semidirect
51. #19099210C22semidirect
52. #19099209C22semidirect
53. #19099208C22semidirect
54. #19099207C22semidirect
55. #19099206C22semidirect
56. #19099205C22semidirect
57. #19099204C22semidirect
58. #19099203C22semidirect
59. #19099202C22semidirect
60. #19099201C22semidirect
61. #19099200C22semidirect
62. C2×#14579150C22semidirect
63. C2×#14579149C22semidirect
64. C2×#14579148C22semidirect
65. C2×#14579147C22semidirect
66. C2×#14579147C22semidirect
67. #124×D79C22semidirect
68. C2×#14579146C22semidirect
69. C2×#14579146C22semidirect
70. C2×#14579145C22semidirect
71. C2×#14579144C22semidirect
72. C2×#14579143C22semidirect
73. C2×#14579143C22semidirect
74. C2×#14579142C22semidirect
75. #123×D79C22semidirect
76. C2×#14579141C22semidirect
77. C2×#14579140C22semidirect
78. C2×#14579139C22semidirect
79. C2×#14579138C22semidirect
80. C2×#14579137C22semidirect
81. C22⋊Q8×D79C22semidirect
82. C2×#14579136C22semidirect
83. C2×#14579136C22semidirect
84. C2×#14579135C22semidirect
85. C2×#14579135C22semidirect
86. C2×#14579134C22semidirect
87. C2×#14579134C22semidirect
88. C2×#14579134C22semidirect
89. C2×#14579133C22semidirect
90. C2×#14579133C22semidirect
91. C2×#14579133C22semidirect
92. C2×#14579132C22semidirect
93. C2×#14579132C22semidirect
94. #121×D79C22semidirect
95. #121×D79C22semidirect
96. C2×#14579131C22semidirect
97. C2×#14579131C22semidirect
98. C2×#14579131C22semidirect
99. C2×#14579130C22semidirect
100. C2×#14579129C22semidirect
101. C2×#14579129C22semidirect
102. C2×#14579129C22semidirect
103. #120×D79C22semidirect
104. C2×C4×D316C22semidirect
105. C2×C4×D316C22semidirect
106. C2×D4×Dic79C22semidirect
107. C2×D4×Dic79C22semidirect
108. C2×#14579123C22semidirect
109. C2×#14579123C22semidirect
110. C2×C4×C22⋊D79C22semidirect
111. C2×C4×C22⋊D79C22semidirect
112. C2×C4×C22⋊D79C22semidirect
113. C2×(C22⋊D79)⋊C4C22semidirect
114. C2×(C22⋊D79)⋊C4C22semidirect
115. C2×(C22⋊D79)⋊C4C22semidirect
116. C4×D4×D79C22semidirect
117. C4×D4×D79C22semidirect
118. C2×C4⋊C4×D79C22semidirect
119. C2×C4⋊C4×D79C22semidirect
120. C2×C4⋊C4×D79C22semidirect
121. C22×C22⋊Dic79C22semidirect
122. C22×(C2×D79)⋊C4C22semidirect
123. C22×(C2×D79)⋊C4C22semidirect
126. C2×C22⋊C4×D79C22semidirect
127. C2×C22⋊C4×D79C22semidirect
128. C2×C22⋊C4×D79C22semidirect
129. C2×C22⋊C4×D79C22semidirect
130. C2×C22⋊C4×D79C22semidirect
131. C2×C22⋊C4×D79C22semidirect
132. C2×C22⋊C4×D79C22semidirect
133. C2×C22⋊C4×D79C22semidirect
134. C2×C22⋊C4×D79C22semidirect
135. C2×C22⋊C4×D79C22semidirect
136. C2×C42×D79C22semidirect
137. C22×#41×C79C22semidirect
138. C23×D4×C79C22semidirect
139. #546×C79C22semidirect
140. C2×#124×C79C22semidirect
141. C2×#123×C79C22semidirect
142. C2×C22⋊Q8×C79C22semidirect
143. C2×#121×C79C22semidirect
144. C2×#121×C79C22semidirect
145. C2×#120×C79C22semidirect
146. C2×C4×D4×C79C22semidirect
147. C2×C4×D4×C79C22semidirect
148. C22×C22⋊C4×C79C22semidirect
161. C2×#11929625C23semidirect
164. C2×#11929624C23semidirect
165. C2×#11929624C23semidirect
168. C2×#11929623C23semidirect
169. C2×#11929623C23semidirect
171. C22×Dic158C23semidirect
172. C22×Dic158C23semidirect
174. C2×Q8×D79C23semidirect
180. C22×D316C23semidirect
181. C22×D316C23semidirect
182. C22×D316C23semidirect
190. C22×C22⋊D79C23semidirect
191. C22×C22⋊D79C23semidirect
192. C22×C22⋊D79C23semidirect
193. C22×C22⋊D79C23semidirect
194. C22×C22⋊D79C23semidirect
204. C2×D4×D79D4semidirect
209. C2×D4×D79C23semidirect
210. C2×D4×D79C23semidirect
211. C2×D4×D79C23semidirect
212. C2×D4×D79C23semidirect
213. C2×D4×D79C23semidirect
215. C23×Dic79C23semidirect
216. C23×Dic79C23semidirect
217. C23×Dic79C23semidirect
232. C22×C4×D79C23semidirect
233. C22×C4×D79C23semidirect
234. C22×C4×D79C23semidirect
235. C22×C4×D79C23semidirect
236. C22×C4×D79C23semidirect
237. C22×C4×D79C23semidirect
238. C22×C4×D79C23semidirect
239. C22×C4×D79C23semidirect
240. C22×C4×D79C23semidirect
241. #14579150C23semidirect
242. #14579149C23semidirect
243. #14579148C23semidirect
244. #14579147C23semidirect
245. #14579147C23semidirect
246. #14579146C23semidirect
247. #14579146C23semidirect
248. #14579145C23semidirect
249. #14579144C23semidirect
250. #14579143C23semidirect
251. #14579143C23semidirect
252. #14579142C23semidirect
253. #14579141C23semidirect
254. #14579140C23semidirect
255. #14579139C23semidirect
256. #14579138C23semidirect
257. #14579137C23semidirect
258. #14579136C23semidirect
259. #14579136C23semidirect
260. #14579135C23semidirect
261. #14579135C23semidirect
262. #14579134C23semidirect
263. #14579134C23semidirect
264. #14579134C23semidirect
265. #14579133C23semidirect
266. #14579133C23semidirect
267. #14579133C23semidirect
268. #14579132C23semidirect
269. #14579132C23semidirect
270. #14579131C23semidirect
271. #14579131C23semidirect
272. #14579131C23semidirect
273. #14579130C23semidirect
274. #14579129C23semidirect
275. #14579129C23semidirect
276. #14579129C23semidirect
277. C4×D316C23semidirect
278. C4×D316C23semidirect
279. D4×Dic79C23semidirect
280. D4×Dic79C23semidirect
281. #14579123C23semidirect
282. #14579123C23semidirect
283. C4×C22⋊D79C23semidirect
284. C4×C22⋊D79C23semidirect
285. C4×C22⋊D79C23semidirect
286. (C22⋊D79)⋊C4C23semidirect
287. (C22⋊D79)⋊C4C23semidirect
288. (C22⋊D79)⋊C4C23semidirect
289. C2×C4⋊Dic79C23semidirect
290. C2×C4⋊Dic79C23semidirect
291. C2×C4⋊Dic79C23semidirect
292. C2×Dic79⋊C4C23semidirect
293. C2×Dic79⋊C4C23semidirect
294. C2×Dic79⋊C4C23semidirect
295. C2×Dic79⋊C4C23semidirect
296. C2×Dic79⋊C4C23semidirect
297. C4⋊C4×D79C23semidirect
298. C4⋊C4×D79C23semidirect
299. C4⋊C4×D79C23semidirect
302. C2×C22⋊Dic79C23semidirect
303. C2×C22⋊Dic79C23semidirect
304. C2×C22⋊Dic79C23semidirect
305. C2×C22⋊Dic79C23semidirect
306. C2×C22⋊Dic79C23semidirect
307. C2×C22⋊Dic79C23semidirect
312. C2×(C2×D79)⋊C4C23semidirect
313. C2×(C2×D79)⋊C4C23semidirect
314. C2×(C2×D79)⋊C4C23semidirect
315. C2×(C2×D79)⋊C4C23semidirect
316. C2×(C2×D79)⋊C4C23semidirect
317. C2×(C2×D79)⋊C4C23semidirect
318. C2×(C2×D79)⋊C4C23semidirect
319. C2×(C2×D79)⋊C4C23semidirect
320. C2×(C2×D79)⋊C4C23semidirect
321. C2×(C2×D79)⋊C4C23semidirect
322. C2×(C2×D79)⋊C4C23semidirect
323. C2×(C2×D79)⋊C4C23semidirect
326. C22⋊C4×D79C23semidirect
327. C22⋊C4×D79C23semidirect
328. C22⋊C4×D79C23semidirect
329. C22⋊C4×D79C23semidirect
330. C22⋊C4×D79C23semidirect
331. C22⋊C4×D79C23semidirect
332. C22⋊C4×D79C23semidirect
333. C22⋊C4×D79C23semidirect
334. C22⋊C4×D79C23semidirect
335. C2×C4×Dic79C23semidirect
336. C2×C4×Dic79C23semidirect
337. C2×C4×Dic79C23semidirect
338. C42×D79C23semidirect
341. C2×#41×C79C23semidirect
342. C22×Q8×C79C23semidirect
348. C22×D4×C79C23semidirect
349. C22×D4×C79C23semidirect
350. C22×D4×C79C23semidirect
352. C23×C4×C79C23semidirect
353. C23×C4×C79C23semidirect
354. C23×C4×C79C23semidirect
355. #124×C79C23semidirect
356. #123×C79C23semidirect
357. C22⋊Q8×C79C23semidirect
358. #121×C79C23semidirect
359. #121×C79C23semidirect
360. #120×C79C23semidirect
361. C4×D4×C79C23semidirect
362. C4×D4×C79C23semidirect
363. C2×C4⋊C4×C79C23semidirect
364. C2×C4⋊C4×C79C23semidirect
365. C2×C4⋊C4×C79C23semidirect
368. C2×C22⋊C4×C79C23semidirect
369. C2×C22⋊C4×C79C23semidirect
370. C2×C22⋊C4×C79C23semidirect
371. C2×C22⋊C4×C79C23semidirect
372. C2×C22⋊C4×C79C23semidirect
373. C2×C22⋊C4×C79C23semidirect
374. C2×C42×C79C23semidirect
399. C23×D79#41semidirect
419. C2×Dic158C24semidirect
420. C2×Dic158C24semidirect
428. C2×D316C2×D4semidirect
433. C2×D316C24semidirect
434. C2×D316C24semidirect
445. C2×C22⋊D79C2×D4semidirect
452. C2×C22⋊D79C24semidirect
453. C2×C22⋊D79C24semidirect
454. C2×C22⋊D79C24semidirect
455. C2×C22⋊D79C24semidirect
464. D4×D79C2×D4semidirect
477. C22×Dic79C24semidirect
478. C22×Dic79C24semidirect
479. C22×Dic79C24semidirect
508. C2×C4×D79C24semidirect
509. C2×C4×D79C24semidirect
510. C2×C4×D79C24semidirect
511. C2×C4×D79C24semidirect
512. C2×C4×D79C24semidirect
513. C2×C4×D79C24semidirect
514. C4⋊Dic79C24semidirect
515. C4⋊Dic79C24semidirect
516. C4⋊Dic79C24semidirect
517. Dic79⋊C4C24semidirect
518. Dic79⋊C4C24semidirect
519. Dic79⋊C4C24semidirect
520. Dic79⋊C4C24semidirect
521. Dic79⋊C4C24semidirect
524. C22⋊Dic79C24semidirect
525. C22⋊Dic79C24semidirect
526. C22⋊Dic79C24semidirect
527. C22⋊Dic79C24semidirect
528. C22⋊Dic79C24semidirect
533. (C2×D79)⋊C4C24semidirect
534. (C2×D79)⋊C4C24semidirect
535. (C2×D79)⋊C4C24semidirect
536. (C2×D79)⋊C4C24semidirect
537. (C2×D79)⋊C4C24semidirect
538. (C2×D79)⋊C4C24semidirect
539. (C2×D79)⋊C4C24semidirect
540. (C2×D79)⋊C4C24semidirect
541. (C2×D79)⋊C4C24semidirect
542. (C2×D79)⋊C4C24semidirect
543. C4×Dic79C24semidirect
544. C4×Dic79C24semidirect
545. C4×Dic79C24semidirect
556. C2×Q8×C79C24semidirect
563. C2×D4×C79C2×D4semidirect
568. C2×D4×C79C24semidirect
569. C2×D4×C79C24semidirect
582. C22×C4×C79C24semidirect
583. C22×C4×C79C24semidirect
584. C22×C4×C79C24semidirect
585. C4⋊C4×C79C24semidirect
586. C4⋊C4×C79C24semidirect
587. C4⋊C4×C79C24semidirect
590. C22⋊C4×C79C24semidirect
591. C22⋊C4×C79C24semidirect
592. C22⋊C4×C79C24semidirect
593. C22⋊C4×C79C24semidirect
594. C22⋊C4×C79C24semidirect
595. C42×C79C24semidirect
611. C23×C79C2×#41semidirect
658. C22×D79C2×#41semidirect
659. C22×D79C2×#41semidirect
672. D4×C79C22×D4semidirect
700. C22⋊D79C22×D4semidirect
724. D316C22×D4semidirect
760. C22×C79C22×#41semidirect
784. C2×D79#546direct (N × H)
788. C2×D79C22×#41semidirect
809. C2×C79C2×#546semidirect
817. D79C2×#546direct (N × H)
832. C2×#546D79direct (N × H)
842. C79C22×#546semidirect
851. C22×#41C2×D79semidirect
866. C23×D4C2×D79semidirect
882. #546C2×D79direct (N × H)
889. C2×#124C2×D79semidirect
898. C2×#123C2×D79semidirect
905. C2×C22⋊Q8C2×D79semidirect
920. C2×#121C2×D79semidirect
921. C2×#121C2×D79semidirect
930. C2×#120C2×D79semidirect
945. C2×C4×D4C2×D79semidirect
946. C2×C4×D4C2×D79semidirect
965. C22×C22⋊C4C2×D79semidirect
991. C2×#41C22×D79semidirect
996. C22×Q8C22×D79semidirect
1041. C22×D4C22×D79semidirect
1042. C22×D4C22×D79semidirect
1043. C22×D4C22×D79semidirect
1072. C23×C4C22×D79semidirect
1073. C23×C4C22×D79semidirect
1074. C23×C4C22×D79semidirect
1080. #124C22×D79semidirect
1088. #123C22×D79semidirect
1094. C22⋊Q8C22×D79semidirect
1107. #121C22×D79semidirect
1108. #121C22×D79semidirect
1116. #120C22×D79semidirect
1129. C4×D4C22×D79semidirect
1130. C4×D4C22×D79semidirect
1142. C2×C4⋊C4C22×D79semidirect
1143. C2×C4⋊C4C22×D79semidirect
1144. C2×C4⋊C4C22×D79semidirect
1182. C2×C22⋊C4C22×D79semidirect
1183. C2×C22⋊C4C22×D79semidirect
1184. C2×C22⋊C4C22×D79semidirect
1185. C2×C22⋊C4C22×D79semidirect
1186. C2×C22⋊C4C22×D79semidirect
1187. C2×C22⋊C4C22×D79semidirect
1192. C2×C42C22×D79semidirect
1250. C2×Q8C23×D79semidirect
1300. C2×D4D4×D79semidirect
1305. C2×D4C23×D79semidirect
1306. C2×D4C23×D79semidirect
1368. C22×C4C23×D79semidirect
1369. C22×C4C23×D79semidirect
1370. C22×C4C23×D79semidirect
1379. C4⋊C4C23×D79semidirect
1380. C4⋊C4C23×D79semidirect
1381. C4⋊C4C23×D79semidirect
1405. C22⋊C4C23×D79semidirect
1406. C22⋊C4C23×D79semidirect
1407. C22⋊C4C23×D79semidirect
1408. C22⋊C4C23×D79semidirect
1409. C22⋊C4C23×D79semidirect
1413. C42C23×D79semidirect
1478. C23#41×D79semidirect
1508. D4C2×D4×D79semidirect
1605. C22C2×#41×D79semidirect
1631. C2#546×D79direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41×D792
C23×D4×D792
C2×#190992102
C2×#190992092
C2×#190992082
C2×#190992072
C2×#190992062
C2×#190992052
C2×#190992042
C2×#190992032
C2×#190992022
C2×#190992012
C2×#190992002
#546×D792
C2×#124×D792
C2×#123×D792
C2×C22⋊Q8×D792
C2×#121×D792
C2×#120×D792
C2×C4×D4×D792
C22×C22⋊C4×D792
C2×#546×C792
C22×#54679