Finite Group Databasebeta

← #34308601

Subgroups — #34308601

Order 20224.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098719C211yesmaximal, characteristic
2C2×#19098667C211yesmaximal, characteristic, complemented
3#23766405C211yesmaximal, characteristic
4Q8×C22⋊Dic79C211yesmaximal, characteristic
5#23764268C211yesmaximal, characteristic, complemented
6#23764087C211yesmaximal, characteristic, complemented
7#23764037C211yesmaximal, characteristic, complemented
8#23763823C211yesmaximal, characteristic
9#23763739C211yesmaximal, characteristic, complemented
10#23763738C211yesmaximal, characteristic, complemented
11#23763666C211yesmaximal, characteristic, complemented
12#23763593C211yesmaximal, characteristic
13#23763232C211yesmaximal, characteristic, complemented
14#23763176C211yesmaximal, characteristic
15C22×#103×C79C211yesmaximal, characteristic
16C22×#11929614C2211yescharacteristic
17C22×#11929614C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×Q8×Dic79C2211yescharacteristic
20C2×Q8×Dic79C2211yescharacteristic
21C2×#14579126C2211yescharacteristic
22#19098719C418yescomplemented
23#19098667—24no—
24C2×#14579092C2211yescharacteristic
25C2×#14579092C2211yescharacteristic
26C2×#14579086C2211yescharacteristic
27C2×#14579086C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×C22⋊(C79⋊C8)C2211yescharacteristic
31C2×#14579071C2211yescharacteristic
32C2×#14579071C2211yescharacteristic
33#19098470—21no—
34#19098470—21no—
35#19098470C2211yescharacteristic
36#19098470C2211yescharacteristic
37#19098468C2211yescharacteristic
38#19098459C2211yescharacteristic
39#19098458—21no—
40#19098444—21no—
41#19098436—21no—
42#19098423—21no—
43#19098423C2211yescharacteristic
44C4⋊C4×Dic79C2211yescharacteristic
45C4×C22⋊Dic79—21no—
46C4×C22⋊Dic79—21no—
47C4×C22⋊Dic79C2211yescharacteristic
48#19098326C2211yescharacteristic
49#19098326C2211yescharacteristic
50#19098325C2211yescharacteristic
51#19098325C2211yescharacteristic
52#19098317C2211yescharacteristic
53#19098317C2211yescharacteristic
54C23×Q8×C79C2211yescharacteristic
55C23×C8×C79C2211yescharacteristic
56C22×C4⋊C4×C79C2211yescharacteristic
57C2×#103×C79—24no—
58C2×#103×C79C2211yescharacteristic
59C2×#103×C79C2211yescharacteristic
60C2×#103×C79C2211yescharacteristic
61C2×#103×C79C2211yescharacteristic
62C22×Dic158C2311yescharacteristic
63C2×#11929614—22no—
64C2×#11929614—22no—
65C2×#11929614—41no—
66C2×#11929614—41no—
67C2×#11929614C2×C414yescomplemented
68C2×#11929614C2×C414yescomplemented
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71#14579140—22no—
72#14579140C2×C414yes—
73Q8×Dic79—22no—
74Q8×Dic79—22no—
75Q8×Dic79—41no—
76Q8×Dic79—41no—
77#14579126—22no—
78#14579126—41no—
79C2×C4⋊Dic79—21no—
80C2×C4⋊Dic79—21no—
81C2×C4⋊Dic79C2311yescharacteristic
82C2×C4⋊Dic79C2311yescharacteristic
83C2×C4⋊Dic79C2311yescharacteristic
84C2×Dic79⋊C4—21no—
85C2×Dic79⋊C4—21no—
86C2×Dic79⋊C4—21no—
87C2×C22⋊Dic79—21no—
88C2×C22⋊Dic79—21no—
89C2×C22⋊Dic79D411yescharacteristic
90C2×C22⋊Dic79D411yescharacteristic
91C2×C4×Dic79—21no—
92C2×C4×Dic79—21no—
93C2×C4×Dic79—21no—
94C2×C4×Dic79—21no—
95C2×C4×Dic79C2311yescharacteristic
96C2×C4×Dic79C2311yescharacteristic
97#14579092—22no—
98#14579092—41no—
99#14579086—22no—
100#14579086—41no—
101#14579085C2×C414yescomplemented
102#14579085C2×C414yescomplemented
103C22⋊(C79⋊C8)C2×C414yes—
104#14579071—22no—
105#14579071—41no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C79⋊#95—21no—
109C79⋊#95—21no—
110C79⋊#95—21no—
111C79⋊#95—21no—
112C79⋊#95—21no—
113C79⋊#95—21no—
114C79⋊#95—21no—
115C79⋊#95D411yescharacteristic
116C79⋊#95D411yescharacteristic
117C22×Q8×C79—21no—
118C22×Q8×C79—22no—
119C22×Q8×C79—22no—
120C22×Q8×C79—22no—
121C22×Q8×C79—41no—
122C22×Q8×C79—41no—
123C22×Q8×C79C2×C414yes—
124C22×Q8×C79C2311yescharacteristic
125C22×Q8×C79C2311yescharacteristic
126C23×C4×C79—21no—
127C23×C4×C79—21no—
128C23×C4×C79C2311yescharacteristic
129C22×C8×C79—22no—
130C22×C8×C79—22no—
131C22×C8×C79—41no—
132C22×C8×C79C2311yescharacteristic
133C22×C8×C79C2311yescharacteristic
134C2×C4⋊C4×C79—22no—
135C2×C4⋊C4×C79—21no—
136C2×C4⋊C4×C79—41no—
137C2×C4⋊C4×C79C2311yescharacteristic
138C2×C4⋊C4×C79C2311yescharacteristic
139#103×C79—22no—
140#103×C79—22no—
141#103×C79—22no—
142#103×C79D414yes—
143C2×Dic158—21no—
144C2×Dic158—21no—
145C2×Dic158—21no—
146C2×Dic158—21no—
147C2×Dic158—21no—
148C2×Dic158C22×C412yes—
149C22×Dic79—21no—
150C22×Dic79—21no—
151C22×Dic79—21no—
152C22×Dic79—21no—
153C22×Dic79C2×D411yescharacteristic
154C22×Dic79C2×D411yescharacteristic
155C22×Dic79C2×D411yescharacteristic
156C22×Dic79C2×D411yescharacteristic
157#11929614—28no—
158#11929614—44no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8—21no—
162C2×C79⋊C8—21no—
163C2×C79⋊C8C22×C412yes—
164C2×C79⋊C8C22×C412yes—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—21no—
169C4⋊Dic79—21no—
170C4⋊Dic79—42no—
171C4⋊Dic79—42no—
172C4⋊Dic79C22×C412yes—
173Dic79⋊C4—24no—
174Dic79⋊C4—42no—
175Dic79⋊C4—81no—
176C22⋊Dic79—24no—
177C22⋊Dic79—22no—
178C22⋊Dic79—22no—
179C22⋊Dic79—42no—
180C4×Dic79—21no—
181C4×Dic79—21no—
182C4×Dic79—21no—
183C4×Dic79—21no—
184C4×Dic79—42no—
185C4×Dic79—42no—
186C4×Dic79—42no—
187C4×Dic79—81no—
188C24×C79C2×D411yescharacteristic
189C2×Q8×C79—24no—
190C2×Q8×C79—21no—
191C2×Q8×C79—21no—
192C2×Q8×C79—21no—
193C2×Q8×C79—21no—
194C2×Q8×C79—28no—
195C2×Q8×C79—21no—
196C2×Q8×C79—21no—
197C2×Q8×C79—21no—
198C2×Q8×C79—21no—
199C2×Q8×C79—42no—
200C2×Q8×C79—42no—
201C2×Q8×C79—44no—
202C2×Q8×C79—44no—
203C2×Q8×C79—44no—
204C2×Q8×C79C22×C412yes—
205C2×Q8×C79C22×C412yes—
206C2×Q8×C79C2×D412yes—
207C2×Q8×C79#4112yes—
208C22×C4×C79—21no—
209C22×C4×C79—21no—
210C22×C4×C79—21no—
211C22×C4×C79—21no—
212C22×C4×C79—21no—
213C22×C4×C79—24no—
214C22×C4×C79—21no—
215C22×C4×C79—21no—
216C22×C4×C79—21no—
217C22×C4×C79—42no—
218C22×C4×C79—42no—
219C22×C4×C79—42no—
220C22×C4×C79—42no—
221C22×C4×C79—81no—
222C22×C4×C79C22×C412yes—
223C22×C4×C79C2×D411yescharacteristic
224C22×C4×C79#4112yes—
225C22×C4×C79C2411yescharacteristic
226C2×C8×C79—21no—
227C2×C8×C79—21no—
228C2×C8×C79—21no—
229C2×C8×C79—21no—
230C2×C8×C79—21no—
231C2×C8×C79—44no—
232C2×C8×C79C2×D412yes—
233C4⋊C4×C79—21no—
234C4⋊C4×C79—21no—
235C4⋊C4×C79—21no—
236C4⋊C4×C79—42no—
237C4⋊C4×C79C2×D412yes—
238C23×C79—21no—
239C23×C79—21no—
240C23×C79—21no—
241C23×C79—21no—
242C23×C79C4×D412yes—
243C23×C79#13712yes—
244C23×C79#13712yes—
245C23×C79C22×D411yescharacteristic
246Q8×C79—22no—
247Q8×C79—22no—
248Q8×C79—22no—
249Q8×C79—22no—
250Q8×C79—22no—
251Q8×C79—48no—
252Q8×C79—41no—
253Q8×C79—41no—
254Q8×C79C4×D414yes—
255C2×C4×C79—22no—
256C2×C4×C79—22no—
257C2×C4×C79—21no—
258C2×C4×C79—22no—
259C2×C4×C79—21no—
260C2×C4×C79—22no—
261C2×C4×C79—22no—
262C2×C4×C79—22no—
263C2×C4×C79—22no—
264C2×C4×C79—22no—
265C2×C4×C79—22no—
266C2×C4×C79—48no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79—41no—
270C2×C4×C79—41no—
271C2×C4×C79—41no—
272C2×C4×C79—41no—
273C2×C4×C79—41no—
274C2×C4×C79—84no—
275C2×C4×C79C4×D412yes—
276C2×C4×C79C23×C411yescharacteristic
277C2×C4×C79C22×D411yescharacteristic
278C2×C4×C79C2×#4111yescharacteristic
279C2×C4×C79C2×#4111yescharacteristic
280C2×C4×C79H(5,𝔽2)11yescharacteristic
281C2×C4×C79H(5,𝔽2)11yescharacteristic
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—21no—
285C2×Dic79—21no—
286C2×Dic79—21no—
287C2×Dic79—21no—
288C2×Dic79—21no—
289C2×Dic79—21no—
290C2×Dic79—21no—
291C2×Dic79—21no—
292C2×Dic79—21no—
293C2×Dic79—21no—
294C2×Dic79—21no—
295C2×Dic79—21no—
296C2×Dic79—41no—
297C2×Dic79—41no—
298C2×Dic79—41no—
299C2×Dic79—41no—
300C2×Dic79—41no—
301C2×Dic79—41no—
302C2×Dic79—41no—
303C2×Dic79—41no—
304C2×Dic79—41no—
305C2×Dic79—41no—
306Dic158—22no—
307Dic158—22no—
308Dic158—41no—
309Dic158—41no—
310C8×C79—22no—
311C8×C79—41no—
312C79⋊C8—22no—
313C79⋊C8—22no—
314C22×C79—22no—
315C22×C79—22no—
316C22×C79—22no—
317C22×C79—22no—
318C22×C79—22no—
319C22×C79—22no—
320C22×C79#44114yescomplemented
321C22×C79C2×C4×D411yescharacteristic
322C22×C79D4211yescharacteristic
323C22×C79#54611yescharacteristic
324C22×C79C2×#13711yescharacteristic
325C22×C79C2×#13711yescharacteristic
326C22×C79#57711yescharacteristic
327C22×C79#57811yescharacteristic
328C4×C79—22no—
329C4×C79—24no—
330C4×C79—42no—
331C4×C79—42no—
332C4×C79—81no—
333C4×C79C2×C4×D411yescharacteristic
334C4×C79#51811yescharacteristic
335C4×C79#54611yescharacteristic
336C4×C79#55111yescharacteristic
337Dic79—42no—
338Dic79—42no—
339Dic79—41no—
340Dic79—41no—
341Dic79—41no—
342Dic79—41no—
343Dic79—81no—
344Dic79—81no—
345#22859—791nomaximal, Sylow
346C2×C79—24no—
347C2×C79#235811yescharacteristic
348C2×C79C2×#44111yescharacteristic
349C2×C79#294711yescharacteristic
350C2×C79#326611yescharacteristic
351C2×C79#327011yescharacteristic
352C2×C79#331211yescharacteristic
353C2×C79#331611yescharacteristic
354C2×#451—791no—
355C2×#441—791no—
356C22×#103D7911yescharacteristic
357#2360—791no—
358Q8×C22⋊C4—791no—
359#1971—791no—
360#1935—791no—
361#1927—791no—
362#1892—791no—
363#1878—791no—
364#1878—791no—
365#1865—791no—
366#1853—791no—
367#1763—791no—
368#1752—791no—
369C79#2285911yescharacteristic, complemented, Sylow
370C23×Q8C2×D7911yescharacteristic
371C22×Q16—791no—
372C22×Q16—791no—
373C23×C8C2×D7911yescharacteristic
374C2×C22⋊Q8—791no—
375C2×C4×Q8—791no—
376C2×C4×Q8—791no—
377C2×C4×Q8—791no—
378C22×C4⋊C4C2×D7911yescharacteristic
379#451—798no—
380#441—1584no—
381C2×#106—791no—
382C2×#106—791no—
383C2×#103—24no—
384C2×#103—791no—
385C2×#103—791no—
386C2×#103—791no—
387C2×#103—791no—
388C2×#103C2×D7911yescharacteristic
389C2×#103C2×D7911yescharacteristic
390C2×#103C2×D7911yescharacteristic
391C2×#103C2×D7911yescharacteristic
392C2×C22⋊C8—791no—
393C2×#97—791no—
394C2×#97—791no—
395#391—791no—
396#391—791no—
397#391—791no—
398#391—1581no—
399#391—1581no—
400#389—791no—
401#389—1581no—
402#387—1581no—
403#385—1581no—
404#380—791no—
405#380—1581no—
406C4×C4⋊C4—791no—
407C4×C22⋊C4—791no—
408C4×C22⋊C4—1581no—
409C4×C22⋊C4—1581no—
410#340—791no—
411#340—791no—
412#340—791no—
413#340—791no—
414#336—791no—
415#336—791no—
416C22×Q8—21no—
417C22×Q8—22no—
418C22×Q8—22no—
419C22×Q8—22no—
420C22×Q8—41no—
421C22×Q8—41no—
422C22×Q8—791no—
423C22×Q8C4×D7914yes—
424C22×Q8C22×D7911yescharacteristic
425C22×Q8C22×D7911yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4C22×D7911yescharacteristic
429C2×Q16—3161no—
430C2×Q16—3161no—
431C2×Q16—794no—
432C2×Q16—794no—
433C2×Q16—1582no—
434C2×Q16—1582no—
435C22×C8—22no—
436C22×C8—22no—
437C22×C8—41no—
438C22×C8—791no—
439C22×C8—791no—
440C22×C8C22×D7911yescharacteristic
441C22×C8C22×D7911yescharacteristic
442C22⋊Q8—794no—
443C22⋊Q8—1582no—
444C4×Q8—3161no—
445C4×Q8—3161no—
446C4×Q8—3161no—
447C4×Q8—1582no—
448C4×Q8—1582no—
449C4×Q8—1582no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—41no—
453C2×C4⋊C4—791no—
454C2×C4⋊C4—791no—
455C2×C4⋊C4—791no—
456C2×C4⋊C4—1581no—
457C2×C4⋊C4—1581no—
458C2×C4⋊C4—1581no—
459C2×C4⋊C4—1581no—
460C2×C4⋊C4—1581no—
461C2×C4⋊C4C22×D7911yescharacteristic
462C2×C4⋊C4C22×D7911yescharacteristic
463C2×C22⋊C4—791no—
464C2×C22⋊C4—791no—
465C2×C22⋊C4—1581no—
466C2×C22⋊C4—1581no—
467C2×C42—791no—
468C2×C42—791no—
469C2×C42—1581no—
470C2×C42—1581no—
471C2×C42—1581no—
472C2×C42—1581no—
473#106—3161no—
474#106—1582no—
475#103—22no—
476#103—22no—
477#103—22no—
478#103—3161no—
479#103—794no—
480#103—794no—
481#103—1582no—
482#103C22⋊D7914yes—
483C22⋊C8—794no—
484#97—3161no—
485#97—1582no—
486#95—791no—
487#95—791no—
488#95—1581no—
489#95—1581no—
490#95—1581no—
491#95—1581no—
492#95—1581no—
493#95—1581no—
494#95—1581no—
495#95—1581no—
496#95—1581no—
497C24D4×D7911yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—24no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—792no—
514C2×Q8—1581no—
515C2×Q8—1581no—
516C2×Q8—1581no—
517C2×Q8—1581no—
518C2×Q8—1581no—
519C2×Q8C2×C4×D7912yes—
520C2×Q8C2×C4×D7912yes—
521C2×Q8C2×C22⋊D7912yes—
522C2×Q8#1192962412yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—24no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—81no—
537C22×C4—791no—
538C22×C4—791no—
539C22×C4—791no—
540C22×C4—791no—
541C22×C4—1581no—
542C22×C4—1581no—
543C22×C4—1581no—
544C22×C4—1581no—
545C22×C4C2×C4×D7912yes—
546C22×C4D4×D7911yescharacteristic
547C22×C4#1192962312yes—
548C22×C4C23×D7911yescharacteristic
549Q16—3164no—
550Q16—1588no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—44no—
557C2×C8—792no—
558C2×C8—792no—
559C2×C8—1581no—
560C2×C8—1581no—
561C2×C8—1581no—
562C2×C8—1581no—
563C2×C8C2×C22⋊D7912yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—3162no—
569C4⋊C4—3162no—
570C4⋊C4—3162no—
571C4⋊C4—792no—
572C4⋊C4—6321no—
573C4⋊C4—1581no—
574C4⋊C4—1581no—
575C4⋊C4—1581no—
576C4⋊C4—1581no—
577C4⋊C4—1581no—
578C4⋊C4—1584no—
579C4⋊C4C2×C22⋊D7912yes—
580C22⋊C4—3162no—
581C22⋊C4—1584no—
582C22⋊C4—1582no—
583C22⋊C4—1582no—
584C42—3162no—
585C42—3162no—
586C42—3162no—
587C42—6321no—
588C42—1581no—
589C42—1581no—
590C42—1581no—
591C42—1581no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23(C22⋊D79)⋊C412yes—
597C23#1457919012yes—
598C23#1457919312yes—
599C23C2×D4×D7911yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—48no—
606Q8—41no—
607Q8—41no—
608Q8—3161no—
609Q8—3161no—
610Q8—1582no—
611Q8—1582no—
612Q8C4×C22⋊D7914yes—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—84no—
633C2×C4—3161no—
634C2×C4—3161no—
635C2×C4—3161no—
636C2×C4—3161no—
637C2×C4—3161no—
638C2×C4—3161no—
639C2×C4—3161no—
640C2×C4—3161no—
641C2×C4—3161no—
642C2×C4—3161no—
643C2×C4—1581no—
644C2×C4—1581no—
645C2×C4—1581no—
646C2×C4—1581no—
647C2×C4—1582no—
648C2×C4—1582no—
649C2×C4—1581no—
650C2×C4—1581no—
651C2×C4—1581no—
652C2×C4—1581no—
653C2×C4—1581no—
654C2×C4—1581no—
655C2×C4—1581no—
656C2×C4—1581no—
657C2×C4(C22⋊D79)⋊C412yes—
658C2×C4C22×C4×D7911yescharacteristic
659C2×C4C22×C22⋊D7911yescharacteristic
660C2×C4C2×#1192962311yescharacteristic
661C2×C4C2×#1192962411yescharacteristic
662C2×C4#1457920611yescharacteristic
663C2×C4#1457920611yescharacteristic
664C8—22no—
665C8—41no—
666C8—1582no—
667C8—1582no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1909866714yescomplemented
675C22C2×(C22⋊D79)⋊C411yescharacteristic
676C22D4×C22⋊D7911yescharacteristic
677C22#1909920311yescharacteristic
678C22C2×#1457919011yescharacteristic
679C22C2×#1457919311yescharacteristic
680C22#1909936911yescharacteristic
681C22#1909937611yescharacteristic
682C4—22no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—81no—
687C4—3161no—
688C4—3162no—
689C4—3162no—
690C4—3161no—
691C4—3161no—
692C4—3161no—
693C4—6321no—
694C4—6321no—
695C4C2×C4×C22⋊D7911yescharacteristic
696C4#1909903611yescharacteristic
697C4#1909920711yescharacteristic
698C4#1909923911yescharacteristic
699C2—24no—
700C2#2376637911yescharacteristic
701C2C2×#1909866711yescharacteristic
702C2#2377223711yescharacteristic
703C2#2377491011yescharacteristic
704C2#2377497011yescharacteristic
705C2#2377544711yescharacteristic
706C2#2377550711yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC22×#103×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
cosocleC22×C4×C79C24
hypercenterC22×#103D79
hypocenterC79#22859
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
2. C2×#19098667C2semidirect
5. #23764268C2semidirect
6. #23764087C2semidirect
7. #23764037C2semidirect
9. #23763739C2semidirect
10. #23763738C2semidirect
11. #23763666C2semidirect
13. #23763232C2semidirect
22. #19098719C4semidirect
67. C2×#11929614C2×C4semidirect
68. C2×#11929614C2×C4semidirect
101. #14579085C2×C4semidirect
102. #14579085C2×C4semidirect
320. C22×C79#441semidirect
369. C79#22859semidirect
674. C22#19098667semidirect

Maximal subgroups

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

subgroupindex
C2×#190987192
C2×#190986672
#237664052
Q8×C22⋊Dic792
#237642682
#237640872
#237640372
#237638232
#237637392
#237637382
#237636662
#237635932
#237632322
#237631762
C22×#103×C792
#2285979