Finite Group Databasebeta

← C2×#23774222 #35158878

Subgroups — C2×#23774222 #35158878

Order 20224.

2322 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14579137C211yesmaximal, characteristic
2C2×C22⋊Q8×D79C211yesmaximal, characteristic
3#23774222C2116yesmaximal, direct product factor
4C2×#19098894C211yesmaximal, characteristic, complemented
5C2×#19098892C212yesmaximal, complemented
6C2×#19098891C211yesmaximal, characteristic, complemented
7C2×#19098820C212yesmaximal, complemented
8C2×#19098818C212yesmaximal, complemented
9C2×#19098719C211yesmaximal, characteristic, complemented
10C2×#19098717C212yesmaximal, complemented
11C2×#19098525C211yesmaximal, characteristic
12C2×#451×C79C211yesmaximal, characteristic, complemented
13C22×Q8×D79C2211yescharacteristic
14C23×C4×D79C2211yescharacteristic
15C22×#11929614C2212yescomplemented
16C22×#11929607C2212yes—
17C2×#14579141C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×#14579139—21no—
20C2×#14579138—21no—
21C2×#14579137—21no—
22C2×#14579137—24no—
23C2×#14579137—21no—
24C2×#14579137C2218yes—
25C2×#14579137C2211yescharacteristic
26C2×#14579137C2212yes—
27C2×#14579137C2212yes—
28C22⋊Q8×D79—24no—
29C22⋊Q8×D79C2218yes—
30C22×C4⋊Dic79C2211yescharacteristic
31C22×Dic79⋊C4—21no—
32C2×C4⋊C4×D79—21no—
33C2×C4⋊C4×D79C2211yescharacteristic
34C22×(C2×D79)⋊C4—21no—
35C2×C22⋊C4×D79—21no—
36#19098894C2218yescomplemented
37#19098892C22116yescomplemented
38#19098891C2218yescomplemented
39#19098820C22116yescomplemented
40#19098818C22116yescomplemented
41#19098719C2218yescomplemented
42#19098717C22116yescomplemented
43C2×#14579093C2212yescomplemented
44C2×#14579092C2212yescomplemented
45C2×#14579086C2212yescomplemented
46C2×#14579085C2212yescomplemented
47C2×#14579085C2212yescomplemented
48#19098525C2218yes—
49C2×C22⋊(C79⋊C8)C2211yescharacteristic
50C2×(C2×D79)⋊C8C2212yes—
51C23×Q8×C79C2211yescharacteristic
52C22×Q16×C79C2212yescomplemented
53C2×C22⋊Q8×C79C2211yescharacteristic
54#451×C79C2218yescomplemented
55C2×#103×C79C2212yescomplemented
56C2×C22⋊C8×C79C2211yescharacteristic
57C24×D79D411yescharacteristic
58C22×Dic158—21no—
59C22×Dic158C2311yescharacteristic
60C2×Q8×D79—22no—
61C2×Q8×D79—44no—
62C2×Q8×D79C2314yes—
63C23×Dic79—21no—
64C23×Dic79D411yescharacteristic
65C22×C4×D79—21no—
66C22×C4×D79—21no—
67C22×C4×D79—44no—
68C22×C4×D79D411yescharacteristic
69C22×C4×D79D414yes—
70C22×C4×D79D411yescharacteristic
71C22×C4×D79C2311yescharacteristic
72C22×C4×D79C2311yescharacteristic
73C22×C4×D79C2314yes—
74C2×#11929614—44no—
75C2×#11929614C2318yescomplemented
76C2×#11929607—44no—
77C2×#11929607C2318yes—
78C22×C79⋊C8C2312yes—
79#14579141—22no—
80#14579141C2314yes—
81#14579140—22no—
82#14579140C2314yes—
83#14579139—28no—
84#14579138—28no—
85#14579137—22no—
86#14579137—24no—
87#14579137—24no—
88#14579137—28no—
89#14579137—28no—
90#14579137C2318yes—
91#14579137C2314yes—
92#14579137C2318yes—
93C2×C4⋊Dic79—21no—
94C2×C4⋊Dic79—22no—
95C2×C4⋊Dic79—21no—
96C2×C4⋊Dic79C2314yes—
97C2×C4⋊Dic79C2311yescharacteristic
98C2×C4⋊Dic79C2312yes—
99C2×Dic79⋊C4—21no—
100C2×Dic79⋊C4—21no—
101C2×Dic79⋊C4—21no—
102C2×Dic79⋊C4—22no—
103C2×Dic79⋊C4—22no—
104C2×Dic79⋊C4—28no—
105C4⋊C4×D79—28no—
106C4⋊C4×D79—22no—
107C4⋊C4×D79C2314yes—
108C2×C22⋊Dic79—21no—
109C2×(C2×D79)⋊C4—21no—
110C2×(C2×D79)⋊C4—21no—
111C2×(C2×D79)⋊C4—22no—
112C2×(C2×D79)⋊C4—28no—
113C2×(C2×D79)⋊C4—22no—
114C22⋊C4×D79—28no—
115#14579093C2318yescomplemented
116#14579092C2318yescomplemented
117#14579086C2318yescomplemented
118#14579085C2318yescomplemented
119#14579085C2318yescomplemented
120C22⋊(C79⋊C8)C2314yes—
121(C2×D79)⋊C8C2318yes—
122C22×Q8×C79—21no—
123C22×Q8×C79—22no—
124C22×Q8×C79—44no—
125C22×Q8×C79C2311yescharacteristic
126C22×Q8×C79C2312yes—
127C22×Q8×C79C2314yes—
128C23×C4×C79—21no—
129C23×C4×C79C2311yescharacteristic
130C2×Q16×C79—44no—
131C2×Q16×C79C2318yescomplemented
132C22×C8×C79C2312yes—
133C22⋊Q8×C79—22no—
134C22⋊Q8×C79C2314yes—
135C2×C4⋊C4×C79—21no—
136C2×C4⋊C4×C79C2311yescharacteristic
137C2×C22⋊C4×C79—21no—
138#103×C79C2318yescomplemented
139C22⋊C8×C79C2314yes—
140C23×D79—24no—
141C23×D79—24no—
142C23×D79—42no—
143C23×D79C2×D411yescharacteristic
144C23×D79C2×D414yes—
145C23×D79C2×D411yescharacteristic
146C2×Dic158—24no—
147C2×Dic158—21no—
148C2×Dic158—24no—
149C2×Dic158—44no—
150C2×Dic158C2412yes—
151Q8×D79—48no—
152Q8×D79—48no—
153C22×Dic79—21no—
154C22×Dic79—24no—
155C22×Dic79—22no—
156C22×Dic79—21no—
157C22×Dic79—42no—
158C22×Dic79—44no—
159C22×Dic79C2×D411yescharacteristic
160C22×Dic79C2×D411yescharacteristic
161C22×Dic79C2×D414yes—
162C2×C4×D79—24no—
163C2×C4×D79—24no—
164C2×C4×D79—24no—
165C2×C4×D79—24no—
166C2×C4×D79—42no—
167C2×C4×D79—42no—
168C2×C4×D79—48no—
169C2×C4×D79—48no—
170C2×C4×D79—44no—
171C2×C4×D79—44no—
172C2×C4×D79C2×D412yes—
173C2×C4×D79C2×D412yes—
174C2×C4×D79C2×D414yes—
175C2×C4×D79C2×D414yes—
176C2×C4×D79C2412yes—
177C2×C4×D79C2412yes—
178#11929614—48no—
179#11929607—48no—
180C2×C79⋊C8—24no—
181C2×C79⋊C8C2414yes—
182C4⋊Dic79—24no—
183C4⋊Dic79—21no—
184C4⋊Dic79—24no—
185C4⋊Dic79—22no—
186C4⋊Dic79C2412yes—
187C4⋊Dic79C2414yes—
188Dic79⋊C4—24no—
189Dic79⋊C4—24no—
190Dic79⋊C4—28no—
191Dic79⋊C4—28no—
192Dic79⋊C4—24no—
193C22⋊Dic79—24no—
194(C2×D79)⋊C4—24no—
195(C2×D79)⋊C4—24no—
196(C2×D79)⋊C4—28no—
197(C2×D79)⋊C4—28no—
198C24×C79C2×D411yescharacteristic
199C2×Q8×C79—21no—
200C2×Q8×C79—24no—
201C2×Q8×C79—22no—
202C2×Q8×C79—24no—
203C2×Q8×C79—24no—
204C2×Q8×C79—24no—
205C2×Q8×C79—48no—
206C2×Q8×C79—44no—
207C2×Q8×C79—48no—
208C2×Q8×C79C2412yes—
209C2×Q8×C79C2414yes—
210C22×C4×C79—24no—
211C22×C4×C79—21no—
212C22×C4×C79—21no—
213C22×C4×C79—24no—
214C22×C4×C79—22no—
215C22×C4×C79—44no—
216C22×C4×C79C2×D411yescharacteristic
217C22×C4×C79C2×D412yes—
218C22×C4×C79C2412yes—
219C22×C4×C79C2411yescharacteristic
220Q16×C79—48no—
221C2×C8×C79—24no—
222C2×C8×C79C2414yes—
223C4⋊C4×C79—24no—
224C4⋊C4×C79—21no—
225C4⋊C4×C79C2412yes—
226C22⋊C4×C79—24no—
227C23×C79—22no—
228C23×C79—22no—
229C23×C79#13714yes—
230C23×C79C22×D412yes—
231C23×C79C22×D411yescharacteristic
232C22×D79—22no—
233C22×D79—22no—
234C22×D79—22no—
235C22×D79—22no—
236C22×D79—28no—
237C22×D79—22no—
238C22×D79—28no—
239C22×D79—44no—
240C22×D79—416no—
241C22×D79#13714yes—
242C22×D79C22×D412yes—
243C22×D79C22×D412yes—
244Q8×C79—24no—
245Q8×C79—24no—
246Q8×C79—24no—
247Q8×C79—48no—
248Q8×C79—42no—
249Q8×C79—44no—
250C2×C4×C79—22no—
251C2×C4×C79—24no—
252C2×C4×C79—24no—
253C2×C4×C79—24no—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—48no—
257C2×C4×C79—42no—
258C2×C4×C79—44no—
259C2×C4×C79—42no—
260C2×C4×C79C22×D412yes—
261C2×C4×C79C22×D411yescharacteristic
262C2×C4×C79H(5,𝔽2)14yes—
263C2×C4×C79C2511yescharacteristic
264C2×Dic79—22no—
265C2×Dic79—22no—
266C2×Dic79—24no—
267C2×Dic79—22no—
268C2×Dic79—22no—
269C2×Dic79—44no—
270C2×Dic79—42no—
271C2×Dic79—42no—
272C2×Dic79—48no—
273C2×Dic79—44no—
274C2×Dic79C22×D412yes—
275C2×Dic79C22×D412yes—
276C4×D79—24no—
277C4×D79—24no—
278C4×D79—24no—
279C4×D79—24no—
280C4×D79—44no—
281C4×D79—44no—
282C4×D79—48no—
283C4×D79—48no—
284Dic158—24no—
285Dic158—48no—
286Dic158—42no—
287C8×C79—24no—
288C79⋊C8—24no—
289C22×C79—22no—
290C22×C79—28no—
291C22×C79—22no—
292C22×C79#53412yes—
293C22×C79C2×#13712yes—
294C22×C79C2×#13714yes—
295C22×C79C2×#13712yes—
296C22×C79C23×D411yescharacteristic
297C2×D79—22no—
298C2×D79—28no—
299C2×D79—22no—
300C2×D79—22no—
301C2×D79—22no—
302C2×D79—22no—
303C2×D79—416no—
304C2×D79—44no—
305C2×D79C2×#13714yes—
306C4×C79—22no—
307C4×C79—44no—
308C4×C79—42no—
309C4×C79—42no—
310C4×C79#53412yes—
311C4×C79C2×H(5,𝔽2)12yes—
312Dic79—22no—
313Dic79—22no—
314Dic79—42no—
315Dic79—42no—
316Dic79—44no—
317C2×#3195—791nomaximal, Sylow
318C2×C79—24no—
319C2×C79#319514yescomplemented
320C2×C79C2×#53411yescharacteristic
321C2×C79C22×#13711yescharacteristic
322C2×C79C22×#13711yescharacteristic
323D79—24no—
324D79—42no—
325C22×C22⋊Q8—791no—
326C22×C22⋊Q8—791no—
327#3195—7916no—
328C2×#483—792no—
329C2×#483—791no—
330C2×#483—791no—
331C2×#470—792no—
332C2×#470—792no—
333C2×#451—791no—
334C2×#451—792no—
335C2×#451D7911yescharacteristic, complemented
336C2×#407—791no—
337C79C2×#319511yescharacteristic, complemented, Sylow
338C23×Q8—791no—
339C23×Q8C2×D7911yescharacteristic
340C24×C4—791no—
341C22×Q16—792no—
342C22×Q16C2×D7912yescomplemented
343C22×M16—792no—
344C2×C22⋊Q8—792no—
345C2×C22⋊Q8—798no—
346C2×C22⋊Q8—792no—
347C2×C22⋊Q8—791no—
348C2×C22⋊Q8—791no—
349C2×C22⋊Q8—798no—
350C2×C22⋊Q8—791no—
351C2×C22⋊Q8—1581no—
352C2×C22⋊Q8—1581no—
353C2×C22⋊Q8—1584no—
354C2×C22⋊Q8—1581no—
355C2×C22⋊Q8—1584no—
356C2×C22⋊Q8—1581no—
357C2×C22⋊Q8C2×D7911yescharacteristic
358C22×C4⋊C4—791no—
359C22×C4⋊C4—791no—
360C22×C4⋊C4—1581no—
361C22×C4⋊C4—1581no—
362C22×C22⋊C4—1581no—
363C22×C22⋊C4—1581no—
364#483—798no—
365#483—7916no—
366#483—798no—
367#470—7916no—
368#470—7916no—
369#451—798no—
370#451—7916no—
371#451C2×D7918yescomplemented
372C2×#106—792no—
373C2×#106—792no—
374C2×#103—792no—
375C2×#103—792no—
376C2×#103—792no—
377C2×#103C2×D7912yescomplemented
378#407—798no—
379C2×C22⋊C8—791no—
380C2×C22⋊C8—792no—
381C2×C22⋊C8C2×D7911yescharacteristic
382C25—791no—
383C22×Q8—22no—
384C22×Q8—21no—
385C22×Q8—44no—
386C22×Q8—3164no—
387C22×Q8—794no—
388C22×Q8—791no—
389C22×Q8—1581no—
390C22×Q8—1582no—
391C22×Q8C22×D7912yes—
392C22×Q8C22×D7911yescharacteristic
393C22×Q8C22×D7914yes—
394C23×C4—21no—
395C23×C4—3164no—
396C23×C4—791no—
397C23×C4—791no—
398C23×C4—791no—
399C23×C4—794no—
400C23×C4—794no—
401C23×C4—791no—
402C23×C4—791no—
403C23×C4—1581no—
404C23×C4—1581no—
405C23×C4—1581no—
406C23×C4C22×D7911yescharacteristic
407C2×Q16—44no—
408C2×Q16—3164no—
409C2×Q16—798no—
410C2×Q16C22×D7918yescomplemented
411C2×M16—3164no—
412C2×M16—798no—
413C22×C8—792no—
414C22×C8C22×D7912yes—
415C22⋊Q8—22no—
416C22⋊Q8—798no—
417C22⋊Q8—794no—
418C22⋊Q8—798no—
419C22⋊Q8—794no—
420C22⋊Q8—794no—
421C22⋊Q8—1588no—
422C22⋊Q8—1588no—
423C22⋊Q8—1582no—
424C22⋊Q8—1588no—
425C22⋊Q8—1588no—
426C22⋊Q8—1584no—
427C22⋊Q8—1582no—
428C22⋊Q8—1584no—
429C22⋊Q8—1582no—
430C22⋊Q8C22×D7914yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—792no—
433C2×C4⋊C4—791no—
434C2×C4⋊C4—794no—
435C2×C4⋊C4—794no—
436C2×C4⋊C4—1582no—
437C2×C4⋊C4—1588no—
438C2×C4⋊C4—1581no—
439C2×C4⋊C4—1588no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4—1582no—
442C2×C4⋊C4—1582no—
443C2×C4⋊C4—1581no—
444C2×C4⋊C4—1582no—
445C2×C4⋊C4—1581no—
446C2×C4⋊C4—1581no—
447C2×C4⋊C4C22×D7911yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1588no—
450C2×C22⋊C4—1588no—
451C2×C22⋊C4—1581no—
452C2×C22⋊C4—1581no—
453C2×C22⋊C4—1582no—
454C2×C22⋊C4—1582no—
455C2×C22⋊C4—1581no—
456#106—798no—
457#106—798no—
458#103—798no—
459#103—798no—
460#103—798no—
461#103C22×D7918yescomplemented
462C22⋊C8—794no—
463C22⋊C8—798no—
464C22⋊C8C22×D7914yes—
465C24—3162no—
466C24—794no—
467C24—791no—
468C24—791no—
469C24—1584no—
470C24—1584no—
471C24D4×D7911yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—48no—
479C2×Q8—44no—
480C2×Q8—48no—
481C2×Q8—3164no—
482C2×Q8—3168no—
483C2×Q8—3168no—
484C2×Q8—792no—
485C2×Q8—1584no—
486C2×Q8—1584no—
487C2×Q8—1581no—
488C2×Q8C23×D7912yes—
489C2×Q8C23×D7914yes—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—3162no—
497C22×C4—3162no—
498C22×C4—3168no—
499C22×C4—3168no—
500C22×C4—3164no—
501C22×C4—3164no—
502C22×C4—3164no—
503C22×C4—3162no—
504C22×C4—794no—
505C22×C4—794no—
506C22×C4—794no—
507C22×C4—791no—
508C22×C4—791no—
509C22×C4—792no—
510C22×C4—792no—
511C22×C4—792no—
512C22×C4—792no—
513C22×C4—1584no—
514C22×C4—1584no—
515C22×C4—1584no—
516C22×C4—1581no—
517C22×C4—1582no—
518C22×C4—1581no—
519C22×C4—1584no—
520C22×C4—1584no—
521C22×C4D4×D7912yes—
522C22×C4D4×D7911yescharacteristic
523C22×C4C23×D7912yes—
524C22×C4C23×D7911yescharacteristic
525Q16—48no—
526Q16—3168no—
527M16—3168no—
528C2×C8—24no—
529C2×C8—794no—
530C2×C8—1584no—
531C2×C8C23×D7914yes—
532C4⋊C4—24no—
533C4⋊C4—21no—
534C4⋊C4—792no—
535C4⋊C4—794no—
536C4⋊C4—1584no—
537C4⋊C4—1584no—
538C4⋊C4—1588no—
539C4⋊C4—1588no—
540C4⋊C4—1584no—
541C4⋊C4—1584no—
542C4⋊C4—1584no—
543C4⋊C4—1581no—
544C4⋊C4—1582no—
545C4⋊C4C23×D7912yes—
546C22⋊C4—24no—
547C22⋊C4—1584no—
548C22⋊C4—1584no—
549C22⋊C4—1588no—
550C22⋊C4—1588no—
551C22⋊C4—1584no—
552C23—22no—
553C23—22no—
554C23—31616no—
555C23—3164no—
556C23—794no—
557C23—792no—
558C23—792no—
559C23—1588no—
560C23—1582no—
561C23—1588no—
562C23—1582no—
563C23—1582no—
564C23—1582no—
565C23—1582no—
566C23#1457919314yes—
567C23C2×D4×D7912yes—
568C23C2×D4×D7911yescharacteristic
569Q8—24no—
570Q8—24no—
571Q8—24no—
572Q8—48no—
573Q8—44no—
574Q8—42no—
575Q8—3168no—
576Q8—3162no—
577Q8—1584no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—48no—
585C2×C4—42no—
586C2×C4—44no—
587C2×C4—42no—
588C2×C4—3164no—
589C2×C4—3164no—
590C2×C4—3168no—
591C2×C4—3168no—
592C2×C4—3162no—
593C2×C4—3168no—
594C2×C4—3164no—
595C2×C4—3162no—
596C2×C4—3164no—
597C2×C4—792no—
598C2×C4—792no—
599C2×C4—1582no—
600C2×C4—1584no—
601C2×C4—1582no—
602C2×C4—1582no—
603C2×C4—1582no—
604C2×C4—1584no—
605C2×C4—1584no—
606C2×C4—1584no—
607C2×C4—1584no—
608C2×C4C2×D4×D7912yes—
609C2×C4C2×D4×D7911yescharacteristic
610C2×C4#1457920614yes—
611C2×C4C24×D7911yescharacteristic
612C8—24no—
613C8—1584no—
614C22—28no—
615C22—22no—
616C22—22no—
617C22—31616no—
618C22—3164no—
619C22—794no—
620C22—1582no—
621C22—1582no—
622C22—1582no—
623C22—1588no—
624C22—1582no—
625C22—1582no—
626C22#1909912312yes—
627C22#137×D7912yes—
628C22C2×#1457919314yes—
629C22C2×#1457919312yes—
630C22C22×D4×D7911yescharacteristic
631C4—22no—
632C4—42no—
633C4—44no—
634C4—42no—
635C4—3162no—
636C4—3164no—
637C4—3162no—
638C4—1582no—
639C4—1582no—
640C4#1909912312yes—
641C4C2×#1457920612yes—
642C2—24no—
643C2—3162no—
644C2—1584no—
645C2#2377422214yesdirect product factor
646C2C2×#1909912311yescharacteristic
647C2C2×#137×D7911yescharacteristic
648C2C22×#1457919311yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#451×C79C2
socleC23×C79C22×D4
prime radicalC24×D79D4
hypercenterC2×#451D79
hypocenterC79C2×#3195
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
3. #23774222C2direct (N × H)
4. C2×#19098894C2semidirect
5. C2×#19098892C2semidirect
6. C2×#19098891C2semidirect
7. C2×#19098820C2semidirect
8. C2×#19098818C2semidirect
9. C2×#19098719C2semidirect
10. C2×#19098717C2semidirect
12. C2×#451×C79C2semidirect
15. C22×#11929614C22semidirect
36. #19098894C22semidirect
37. #19098892C22semidirect
38. #19098891C22semidirect
39. #19098820C22semidirect
40. #19098818C22semidirect
41. #19098719C22semidirect
42. #19098717C22semidirect
43. C2×#14579093C22semidirect
44. C2×#14579092C22semidirect
45. C2×#14579086C22semidirect
46. C2×#14579085C22semidirect
47. C2×#14579085C22semidirect
52. C22×Q16×C79C22semidirect
54. #451×C79C22semidirect
55. C2×#103×C79C22semidirect
75. C2×#11929614C23semidirect
115. #14579093C23semidirect
116. #14579092C23semidirect
117. #14579086C23semidirect
118. #14579085C23semidirect
119. #14579085C23semidirect
131. C2×Q16×C79C23semidirect
138. #103×C79C23semidirect
319. C2×C79#3195semidirect
335. C2×#451D79semidirect
337. C79C2×#3195semidirect
342. C22×Q16C2×D79semidirect
371. #451C2×D79semidirect
377. C2×#103C2×D79semidirect
410. C2×Q16C22×D79semidirect
461. #103C22×D79semidirect
645. C2#23774222direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145791372
C2×C22⋊Q8×D792
#237742222
C2×#190988942
C2×#190988922
C2×#190988912
C2×#190988202
C2×#190988182
C2×#190987192
C2×#190987172
C2×#190985252
C2×#451×C792
C2×#319579