Finite Group Databasebeta

← C2×D4⋊C8×D79 #34254609

Subgroups — C2×D4⋊C8×D79 #34254609

Order 20224.

1886 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D79C211yesmaximal, characteristic
2C2×C4⋊C8×D79C211yesmaximal, characteristic, complemented
3C2×C4×C8×D79C211yesmaximal, characteristic, complemented
4C2×#19098292C211yesmaximal, characteristic, complemented
5C2×D4⋊(C79⋊C8)C211yesmaximal, characteristic, complemented
6C2×#19098290C211yesmaximal, characteristic, complemented
7D4⋊C8×D79C218yesmaximal, direct product factor
8C2×D4⋊C8×C79C211yesmaximal, characteristic, complemented
9C22×D4×D79C411yescharacteristic
10C23×C4×D79—21no—
11C22×C8×D79—21no—
12C22×C8×D79—21no—
13C2×C4×D316C2211yescharacteristic
14C2×D4×Dic79C411yescharacteristic
15C2×#14579123C411yescharacteristic
16C2×C4×C22⋊D79—21no—
17C2×(C22⋊D79)⋊C4—21no—
18C4×D4×D79—22no—
19C4×D4×D79—22no—
20C4×D4×D79C414yes—
21C4×D4×D79C2214yes—
22C2×C4⋊C4×D79C411yescharacteristic
23C2×C22⋊C4×D79—21no—
24C2×C42×D79C2211yescharacteristic
25C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
26C2×Dic79⋊C8—21no—
27C4⋊C8×D79—22no—
28C4⋊C8×D79C2214yescomplemented
29C2×C4×C79⋊C8C2211yescharacteristic, complemented
30C2×C8×Dic79—21no—
31C4×C8×D79—22no—
32C4×C8×D79C2214yescomplemented
33#19098292C2214yescomplemented
34D4⋊(C79⋊C8)C2214yescomplemented
35#19098290C2214yescomplemented
36C2×C4×D4×C79C2211yescharacteristic
37C2×C4⋊C8×C79C2211yescharacteristic, complemented
38C2×C4×C8×C79C2211yescharacteristic, complemented
39D4⋊C8×C79C2214yescomplemented
40C24×D79—21no—
41C22×D316C2×C411yescharacteristic
42C22×C22⋊D79—21no—
43C2×D4×D79—22no—
44C2×D4×D79—24no—
45C2×D4×D79C818yescomplemented
46C2×D4×D79C2×C414yes—
47C23×Dic79—21no—
48C22×C4×D79—21no—
49C22×C4×D79—21no—
50C22×C4×D79—21no—
51C22×C4×D79—24no—
52C22×C4×D79—24no—
53C22×C4×D79—44no—
54C22×C4×D79—44no—
55C22×C4×D79C2×C411yescharacteristic
56C22×C4×D79D411yescharacteristic
57C22×C4×D79D411yescharacteristic
58C22×C79⋊C8—21no—
59C22×C79⋊C8—21no—
60C2×C8×D79—28no—
61C2×C8×D79—24no—
62C2×C8×D79—24no—
63C2×C8×D79—44no—
64C4×D316—21no—
65C4×D316—21no—
66C4×D316C2×C412yes—
67C4×D316C2312yes—
68D4×Dic79—22no—
69D4×Dic79C2×C414yes—
70#14579123—22no—
71#14579123C2×C414yes—
72C4×C22⋊D79—24no—
73C4×C22⋊D79—24no—
74(C22⋊D79)⋊C4—24no—
75(C22⋊D79)⋊C4—24no—
76C2×C4⋊Dic79C2×C411yescharacteristic
77C2×Dic79⋊C4—21no—
78C4⋊C4×D79—22no—
79C4⋊C4×D79C2×C414yes—
80C2×C22⋊Dic79—21no—
81C2×(C2×D79)⋊C4—21no—
82C2×(C2×D79)⋊C4—21no—
83C22⋊C4×D79—24no—
84C22⋊C4×D79—24no—
85C2×C4×Dic79C2×C411yescharacteristic
86C2×C4×Dic79D411yescharacteristic
87C2×C4×Dic79D411yescharacteristic
88C42×D79C2×C412yes—
89C42×D79D412yes—
90C42×D79D412yes—
91C42×D79C2312yes—
92C4⋊(C79⋊C8)—21no—
93C4⋊(C79⋊C8)C2312yescomplemented
94Dic79⋊C8—24no—
95C4×C79⋊C8—21no—
96C4×C79⋊C8C2312yescomplemented
97C8×Dic79—24no—
98C22×D4×C79C2×C411yescharacteristic
99C23×C4×C79—21no—
100C22×C8×C79—21no—
101C22×C8×C79—21no—
102C4×D4×C79—21no—
103C4×D4×C79—21no—
104C4×D4×C79C2×C412yes—
105C4×D4×C79C2312yes—
106C2×C4⋊C4×C79C2×C411yescharacteristic
107C2×C22⋊C4×C79—21no—
108C2×C42×C79C2311yescharacteristic
109C4⋊C8×C79—21no—
110C4⋊C8×C79C2312yescomplemented
111C4×C8×C79—21no—
112C4×C8×C79C2312yescomplemented
113C23×D79—21no—
114C23×D79—28no—
115C23×D79—24no—
116C23×D79—44no—
117C23×D79—44no—
118C23×D79C22⋊C411yescharacteristic
119C2×D316—21no—
120C2×D316—22no—
121C2×D316C2×C814yescomplemented
122C2×D316C22×C412yes—
123C2×C22⋊D79—28no—
124C2×C22⋊D79—24no—
125D4×D79—216no—
126D4×D79—28no—
127D4×D79C2×C8116yescomplemented
128C22×Dic79—24no—
129C22×Dic79—21no—
130C22×Dic79—44no—
131C22×Dic79C22⋊C411yescharacteristic
132C22×Dic79C22⋊C411yescharacteristic
133C22×Dic79C22⋊C411yescharacteristic
134C2×C4×D79—24no—
135C2×C4×D79—24no—
136C2×C4×D79—24no—
137C2×C4×D79—22no—
138C2×C4×D79—22no—
139C2×C4×D79—44no—
140C2×C4×D79—416no—
141C2×C4×D79—48no—
142C2×C4×D79—48no—
143C2×C4×D79—44no—
144C2×C4×D79—42no—
145C2×C4×D79—42no—
146C2×C4×D79C22⋊C412yes—
147C2×C4×D79C22⋊C412yes—
148C2×C4×D79C22⋊C412yes—
149C2×C4×D79C2×C814yes—
150C2×C4×D79M1614yes—
151C2×C4×D79D814yes—
152C2×C4×D79SD1614yes—
153C2×C4×D79C22×C412yes—
154C2×C4×D79C2×D412yes—
155C2×C4×D79C2×D412yes—
156C2×C79⋊C8—24no—
157C2×C79⋊C8—22no—
158C2×C79⋊C8—22no—
159C2×C79⋊C8—42no—
160C8×D79—216no—
161C8×D79—48no—
162C4⋊Dic79—21no—
163C4⋊Dic79C22×C412yes—
164Dic79⋊C4—24no—
165C22⋊Dic79—24no—
166(C2×D79)⋊C4—24no—
167(C2×D79)⋊C4—22no—
168(C2×D79)⋊C4—22no—
169C4×Dic79C22⋊C412yes—
170C4×Dic79C22⋊C412yes—
171C4×Dic79C22⋊C412yes—
172C4×Dic79C22×C412yes—
173C4×Dic79C2×D412yes—
174C4×Dic79C2×D412yes—
175C24×C79—21no—
176C2×D4×C79—21no—
177C2×D4×C79—22no—
178C2×D4×C79C2×C814yescomplemented
179C2×D4×C79C22×C412yes—
180C22×C4×C79—21no—
181C22×C4×C79—22no—
182C22×C4×C79—22no—
183C22×C4×C79—42no—
184C22×C4×C79—42no—
185C22×C4×C79C22×C411yescharacteristic
186C22×C4×C79C2×D411yescharacteristic
187C22×C4×C79C2×D411yescharacteristic
188C2×C8×C79—24no—
189C2×C8×C79—22no—
190C2×C8×C79—22no—
191C2×C8×C79—42no—
192C4⋊C4×C79—21no—
193C4⋊C4×C79C22×C412yes—
194C22⋊C4×C79—22no—
195C22⋊C4×C79—22no—
196C42×C79C22×C411yescharacteristic
197C42×C79C2×D411yescharacteristic
198C42×C79C2×D411yescharacteristic
199C42×C79C2411yescharacteristic
200C23×C79—22no—
201C23×C79—24no—
202C23×C79—42no—
203C23×C79—42no—
204C23×C79C2×C22⋊C411yescharacteristic
205C22×D79—22no—
206C22×D79—24no—
207C22×D79—216no—
208C22×D79—42no—
209C22×D79—42no—
210C22×D79—432no—
211C22×D79—48no—
212C22×D79—48no—
213C22×D79C22⋊C814yes—
214C22×D79#10214yes—
215C22×D79#10414yes—
216C22×D79C2×C22⋊C412yes—
217D4×C79—22no—
218D4×C79—24no—
219D4×C79C22×C814yescomplemented
220C2×C4×C79—22no—
221C2×C4×C79—22no—
222C2×C4×C79—42no—
223C2×C4×C79—42no—
224C2×C4×C79—42no—
225C2×C4×C79—44no—
226C2×C4×C79C2×C22⋊C411yescharacteristic
227C2×C4×C79C2×C22⋊C411yescharacteristic
228C2×C4×C79C2×C22⋊C411yescharacteristic
229C2×C4×C79C22×C812yes—
230C2×C4×C79C2×M1612yes—
231C2×C4×C79C2×D812yes—
232C2×C4×C79C2×SD1612yes—
233C2×C4×C79C23×C411yescharacteristic
234C2×C4×C79C22×D411yescharacteristic
235C2×C4×C79C22×D411yescharacteristic
236C22⋊D79—216no—
237C2×Dic79—22no—
238C2×Dic79—22no—
239C2×Dic79—42no—
240C2×Dic79—48no—
241C2×Dic79C22⋊C814yes—
242C2×Dic79#10214yes—
243C2×Dic79C2×C22⋊C412yes—
244C2×Dic79C2×C22⋊C412yes—
245C2×Dic79C2×C22⋊C412yes—
246D316—22no—
247D316—24no—
248D316C22×C814yescomplemented
249C4×D79—24no—
250C4×D79—24no—
251C4×D79—48no—
252C4×D79—42no—
253C4×D79—42no—
254C4×D79—44no—
255C4×D79—48no—
256C4×D79C22⋊C818yes—
257C4×D79#10218yes—
258C4×D79C22×C814yes—
259C4×D79C2×M1614yes—
260C4×D79C2×D814yes—
261C4×D79C2×SD1614yes—
262C8×C79—24no—
263C8×C79—42no—
264C79⋊C8—24no—
265C79⋊C8—42no—
266C22×C79—24no—
267C22×C79—42no—
268C22×C79—42no—
269C22×C79—48no—
270C22×C79C2×C22⋊C812yes—
271C22×C79C2×#10212yes—
272C22×C79C2×#10412yes—
273C22×C79C22×C22⋊C411yescharacteristic
274C2×D79—24no—
275C2×D79—42no—
276C2×D79—42no—
277C2×D79—48no—
278C2×D79—432no—
279C2×D79D4⋊C8116yesdirect product factor
280C2×D79C2×C22⋊C814yes—
281C2×D79C2×#10214yes—
282C2×D79C2×#10414yes—
283C4×C79—21no—
284C4×C79—21no—
285C4×C79—42no—
286C4×C79C2×C22⋊C812yes—
287C4×C79C2×#10212yes—
288C4×C79C23×C811yescharacteristic
289C4×C79C22×M1611yescharacteristic
290C4×C79C22×D811yescharacteristic
291C4×C79C22×SD1611yescharacteristic
292Dic79—22no—
293Dic79—42no—
294Dic79C2×C22⋊C814yes—
295Dic79C2×#10214yes—
296C22×D4⋊C8—791nomaximal, Sylow
297C2×C79—44no—
298C2×C79C2×D4⋊C814yescomplemented
299C2×C79C22×C22⋊C811yescharacteristic
300C2×C79C22×#10211yescharacteristic
301C2×C79C22×#10411yescharacteristic
302D79—44no—
303D79C2×D4⋊C818yesdirect product factor
304C22×C4×D4—791no—
305C22×C4⋊C8—791no—
306C22×C4×C8—791no—
307C2×D4⋊C8—791no—
308C2×D4⋊C8—791no—
309C2×D4⋊C8—798no—
310C2×D4⋊C8—791no—
311C2×D4⋊C8D7911yescharacteristic, direct product factor
312C79C22×D4⋊C811yescharacteristic, complemented, Sylow
313C23×D4—791no—
314C24×C4—1581no—
315C23×C8—1581no—
316C23×C8—1581no—
317C2×C4×D4—791no—
318C2×C4×D4—794no—
319C2×C4×D4—794no—
320C2×C4×D4—791no—
321C2×C4×D4—791no—
322C2×C4×D4—1581no—
323C2×C4×D4—1582no—
324C2×C4×D4—1582no—
325C2×C4×D4—1581no—
326C2×C4×D4C2×D7911yescharacteristic
327C22×C4⋊C4—791no—
328C22×C22⋊C4—1581no—
329C22×C42—791no—
330C2×C4⋊C8—791no—
331C2×C4⋊C8—794no—
332C2×C4⋊C8—1582no—
333C2×C4⋊C8—1581no—
334C2×C4⋊C8C2×D7911yescharacteristic, complemented
335C2×C4×C8—791no—
336C2×C4×C8—794no—
337C2×C4×C8—1582no—
338C2×C4×C8—1581no—
339C2×C4×C8C2×D7911yescharacteristic, complemented
340D4⋊C8—794no—
341D4⋊C8—794no—
342D4⋊C8—794no—
343D4⋊C8C2×D7914yesdirect product factor
344C25—1581no—
345C22×D4—798no—
346C22×D4—794no—
347C22×D4—791no—
348C22×D4—1582no—
349C22×D4—1584no—
350C22×D4—1581no—
351C22×D4C4×D7911yescharacteristic
352C23×C4—21no—
353C23×C4—3164no—
354C23×C4—3164no—
355C23×C4—791no—
356C23×C4—791no—
357C23×C4—791no—
358C23×C4—1581no—
359C23×C4—1584no—
360C23×C4—1584no—
361C23×C4—1581no—
362C23×C4—1581no—
363C23×C4—1581no—
364C22×C8—21no—
365C22×C8—21no—
366C22×C8—3164no—
367C22×C8—1584no—
368C22×C8—1584no—
369C22×C8—1588no—
370C22×C8—1581no—
371C22×C8—1581no—
372C4×D4—21no—
373C4×D4—21no—
374C4×D4—794no—
375C4×D4—794no—
376C4×D4—792no—
377C4×D4—792no—
378C4×D4—1584no—
379C4×D4—1584no—
380C4×D4—1582no—
381C4×D4—1584no—
382C4×D4—1584no—
383C4×D4—1582no—
384C4×D4—1581no—
385C4×D4—1581no—
386C4×D4C4×D7912yes—
387C4×D4C22×D7912yes—
388C2×C4⋊C4—791no—
389C2×C4⋊C4—794no—
390C2×C4⋊C4—1582no—
391C2×C4⋊C4—1581no—
392C2×C4⋊C4C4×D7911yescharacteristic
393C2×C22⋊C4—21no—
394C2×C22⋊C4—1584no—
395C2×C22⋊C4—1584no—
396C2×C22⋊C4—1581no—
397C2×C22⋊C4—1581no—
398C2×C22⋊C4—1581no—
399C2×C42—791no—
400C2×C42—791no—
401C2×C42—791no—
402C2×C42—792no—
403C2×C42—792no—
404C2×C42—792no—
405C2×C42—792no—
406C2×C42C22×D7911yescharacteristic
407C4⋊C8—21no—
408C4⋊C8—792no—
409C4⋊C8—1584no—
410C4⋊C8—1581no—
411C4⋊C8C22×D7912yescomplemented
412C4×C8—21no—
413C4×C8—792no—
414C4×C8—1584no—
415C4×C8—1581no—
416C4×C8C22×D7912yescomplemented
417C24—21no—
418C24—3164no—
419C24—3164no—
420C24—791no—
421C24—1584no—
422C24—1588no—
423C24—1581no—
424C2×D4—21no—
425C2×D4—22no—
426C2×D4—7916no—
427C2×D4—794no—
428C2×D4—792no—
429C2×D4—15816no—
430C2×D4—1588no—
431C2×D4—1584no—
432C2×D4—1588no—
433C2×D4—1581no—
434C2×D4—1582no—
435C2×D4C8×D7914yescomplemented
436C2×D4C2×C4×D7912yes—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—3164no—
443C22×C4—3164no—
444C22×C4—31616no—
445C22×C4—3168no—
446C22×C4—3168no—
447C22×C4—3164no—
448C22×C4—3162no—
449C22×C4—3162no—
450C22×C4—791no—
451C22×C4—791no—
452C22×C4—792no—
453C22×C4—792no—
454C22×C4—794no—
455C22×C4—794no—
456C22×C4—794no—
457C22×C4—794no—
458C22×C4—792no—
459C22×C4—792no—
460C22×C4—791no—
461C22×C4—792no—
462C22×C4—792no—
463C22×C4—1584no—
464C22×C4—1584no—
465C22×C4—1584no—
466C22×C4—1584no—
467C22×C4—1581no—
468C22×C4—1582no—
469C22×C4—1582no—
470C22×C4C2×C4×D7911yescharacteristic
471C22×C4D4×D7911yescharacteristic
472C22×C4D4×D7911yescharacteristic
473C2×C8—24no—
474C2×C8—22no—
475C2×C8—22no—
476C2×C8—42no—
477C2×C8—3168no—
478C2×C8—3162no—
479C2×C8—15816no—
480C2×C8—1582no—
481C2×C8—1584no—
482C2×C8—1582no—
483C4⋊C4—21no—
484C4⋊C4—792no—
485C4⋊C4—1584no—
486C4⋊C4—1581no—
487C4⋊C4C2×C4×D7912yes—
488C22⋊C4—22no—
489C22⋊C4—22no—
490C22⋊C4—1584no—
491C22⋊C4—1584no—
492C22⋊C4—1582no—
493C22⋊C4—1582no—
494C42—792no—
495C42—792no—
496C42—792no—
497C42—792no—
498C42—792no—
499C42—792no—
500C42C2×C4×D7911yescharacteristic
501C42D4×D7911yescharacteristic
502C42D4×D7911yescharacteristic
503C42C23×D7911yescharacteristic
504C23—22no—
505C23—24no—
506C23—42no—
507C23—42no—
508C23—3168no—
509C23—3168no—
510C23—31632no—
511C23—3162no—
512C23—3162no—
513C23—792no—
514C23—794no—
515C23—794no—
516C23—794no—
517C23—15816no—
518C23—1582no—
519C23—1584no—
520C23C22⋊C4×D7911yescharacteristic
521D4—24no—
522D4—22no—
523D4—794no—
524D4—15816no—
525D4—1584no—
526D4—1582no—
527D4C2×C8×D7914yescomplemented
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—42no—
531C2×C4—44no—
532C2×C4—42no—
533C2×C4—42no—
534C2×C4—3168no—
535C2×C4—3168no—
536C2×C4—3162no—
537C2×C4—3168no—
538C2×C4—3164no—
539C2×C4—3162no—
540C2×C4—3162no—
541C2×C4—792no—
542C2×C4—792no—
543C2×C4—794no—
544C2×C4—794no—
545C2×C4—798no—
546C2×C4—798no—
547C2×C4—794no—
548C2×C4—794no—
549C2×C4—794no—
550C2×C4—794no—
551C2×C4—792no—
552C2×C4—1584no—
553C2×C4—1584no—
554C2×C4—1582no—
555C2×C4—1582no—
556C2×C4C22⋊C4×D7911yescharacteristic
557C2×C4C22⋊C4×D7911yescharacteristic
558C2×C4C22⋊C4×D7911yescharacteristic
559C2×C4C2×C8×D7912yes—
560C2×C4M16×D7912yes—
561C2×C4D8×D7912yes—
562C2×C4SD16×D7912yes—
563C2×C4C22×C4×D7911yescharacteristic
564C2×C4C2×D4×D7911yescharacteristic
565C2×C4C2×D4×D7911yescharacteristic
566C8—24no—
567C8—42no—
568C8—3162no—
569C8—1584no—
570C22—24no—
571C22—42no—
572C22—48no—
573C22—42no—
574C22—31632no—
575C22—3162no—
576C22—3168no—
577C22—3162no—
578C22—794no—
579C22—7916no—
580C22—794no—
581C22—794no—
582C22—1584no—
583C22C22⋊C8×D7912yes—
584C22#102×D7912yes—
585C22#104×D7912yes—
586C22C2×C22⋊C4×D7911yescharacteristic
587C4—21no—
588C4—21no—
589C4—42no—
590C4—3162no—
591C4—794no—
592C4—794no—
593C4—1582no—
594C4C22⋊C8×D7912yes—
595C4#102×D7912yes—
596C4C22×C8×D7911yescharacteristic
597C4C2×M16×D7911yescharacteristic
598C4C2×D8×D7911yescharacteristic
599C4C2×SD16×D7911yescharacteristic
600C2—44no—
601C2—3164no—
602C2—798no—
603C2D4⋊C8×D7914yesdirect product factor
604C2C2×C22⋊C8×D7911yescharacteristic
605C2C2×#102×D7911yescharacteristic
606C2C2×#104×D7911yescharacteristic
subgroupG/H
centerC22×C4D4×D79
commutatorC4×C79C23×C8
FrattiniC42C23×D79
FittingC2×D4⋊C8×C79C2
socleC23×C79C2×C22⋊C4
prime radicalC22×D4×D79C4
cosocleC42×C79C24
hypercenterC2×D4⋊C8D79
hypocenterC79C22×D4⋊C8
LCSG ▷ C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×D4⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×C4⋊C8×D79C2semidirect
3. C2×C4×C8×D79C2semidirect
4. C2×#19098292C2semidirect
5. C2×D4⋊(C79⋊C8)C2semidirect
6. C2×#19098290C2semidirect
7. D4⋊C8×D79C2direct (N × H)
8. C2×D4⋊C8×C79C2semidirect
25. C2×C4⋊(C79⋊C8)C22semidirect
28. C4⋊C8×D79C22semidirect
29. C2×C4×C79⋊C8C22semidirect
32. C4×C8×D79C22semidirect
33. #19098292C22semidirect
34. D4⋊(C79⋊C8)C22semidirect
35. #19098290C22semidirect
37. C2×C4⋊C8×C79C22semidirect
38. C2×C4×C8×C79C22semidirect
39. D4⋊C8×C79C22semidirect
45. C2×D4×D79C8semidirect
93. C4⋊(C79⋊C8)C23semidirect
96. C4×C79⋊C8C23semidirect
110. C4⋊C8×C79C23semidirect
112. C4×C8×C79C23semidirect
121. C2×D316C2×C8semidirect
127. D4×D79C2×C8semidirect
178. C2×D4×C79C2×C8semidirect
219. D4×C79C22×C8semidirect
248. D316C22×C8semidirect
279. C2×D79D4⋊C8direct (N × H)
298. C2×C79C2×D4⋊C8semidirect
303. D79C2×D4⋊C8direct (N × H)
311. C2×D4⋊C8D79direct (N × H)
312. C79C22×D4⋊C8semidirect
334. C2×C4⋊C8C2×D79semidirect
339. C2×C4×C8C2×D79semidirect
343. D4⋊C8C2×D79direct (N × H)
411. C4⋊C8C22×D79semidirect
416. C4×C8C22×D79semidirect
435. C2×D4C8×D79semidirect
527. D4C2×C8×D79semidirect
603. C2D4⋊C8×D79direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×D4×D792
C2×C4⋊C8×D792
C2×C4×C8×D792
C2×#190982922
C2×D4⋊(C79⋊C8)2
C2×#190982902
D4⋊C8×D792
C2×D4⋊C8×C792
C22×D4⋊C879