Finite Group Databasebeta

← #34193731

Subgroups — #34193731

Order 20224.

1298 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic79C211yesmaximal, characteristic
2#23771919C211yesmaximal, characteristic
3C2×#19098334C211yesmaximal, characteristic, complemented
4#23763132C211yesmaximal, characteristic, complemented
5C2×#19098324C211yesmaximal, characteristic, complemented
6C2×#19098322C211yesmaximal, characteristic, complemented
7C2×#421×C79C211yesmaximal, characteristic
8C22×#11929608C2211yescharacteristic
9#41×Dic79—22no—
10#41×Dic79—22no—
11#41×Dic79—22no—
12#41×Dic79C414yescomplemented
13C2×Q8×Dic79—21no—
14C2×D4×Dic79—22no—
15C2×D4×Dic79—21no—
16C2×#14579120—21no—
17C2×#14579120C2211yescharacteristic
18C2×#14579120C2211yescharacteristic
19C22×C4×Dic79—21no—
20C22×C4×Dic79C2211yescharacteristic
21#19098572—21no—
22#19098568—21no—
23#19098564C414yescomplemented
24#19098559—22no—
25#19098334—22no—
26#19098329—22no—
27#19098324—21no—
28#19098324—21no—
29#19098322—22no—
30C22×#41×C79C2211yescharacteristic
31C22×M16×C79C2211yescharacteristic
32C2×#117×C79C2211yescharacteristic
33#421×C79—22no—
34#421×C79C414yescomplemented
35C2×#104×C79—22no—
36C23×Dic79—22no—
37C23×Dic79—21no—
38C2×#11929608—21no—
39C2×#11929608—21no—
40C2×#11929608—21no—
41C2×#11929608—21no—
42C2×#11929608—21no—
43C2×#11929608C2×C412yescomplemented
44C22×C79⋊C8—21no—
45Q8×Dic79—24no—
46Q8×Dic79—24no—
47D4×Dic79—28no—
48D4×Dic79—24no—
49D4×Dic79—24no—
50D4×Dic79—28no—
51#14579120—24no—
52#14579120—21no—
53#14579120—21no—
54#14579120—24no—
55#14579120—21no—
56#14579120—21no—
57#14579120—21no—
58#14579120—21no—
59#14579120C2×C412yes—
60#14579120D412yes—
61C2×C4⋊Dic79—22no—
62C2×C4⋊Dic79—21no—
63C2×C4⋊Dic79C2×C412yescomplemented
64C2×C22⋊Dic79—22no—
65C2×C22⋊Dic79—21no—
66C2×C22⋊Dic79D412yes—
67C2×C4×Dic79—22no—
68C2×C4×Dic79—24no—
69C2×C4×Dic79—21no—
70C2×C4×Dic79—21no—
71C2×C4×Dic79—21no—
72C2×C4×Dic79—21no—
73C2×C4×Dic79—24no—
74C2×C4×Dic79—21no—
75C2×C4×Dic79C2×C412yes—
76C2×C4×Dic79D411yescharacteristic
77C2×C4×Dic79D411yescharacteristic
78C2×C4×Dic79D412yes—
79#14579085—24no—
80#14579082—24no—
81C2×#41×C79—21no—
82C2×#41×C79—21no—
83C2×#41×C79—21no—
84C2×#41×C79—21no—
85C2×#41×C79—21no—
86C2×#41×C79—21no—
87C2×#41×C79C2×C412yes—
88C2×#41×C79C2×C412yes—
89C2×#41×C79C2×C412yes—
90C2×#41×C79D412yes—
91C2×#41×C79D412yes—
92C2×#41×C79Q812yes—
93C22×Q8×C79D411yescharacteristic
94C22×D4×C79—21no—
95C22×D4×C79D411yescharacteristic
96C23×C4×C79—21no—
97C23×C4×C79C2311yescharacteristic
98C2×M16×C79—21no—
99C2×M16×C79—21no—
100C2×M16×C79—21no—
101C2×M16×C79—21no—
102C2×M16×C79—21no—
103C2×M16×C79C2×C412yescomplemented
104C22×C8×C79—21no—
105#117×C79—21no—
106#117×C79—21no—
107#117×C79—21no—
108#117×C79C2×C412yescomplemented
109C2×C4⋊C4×C79—21no—
110C2×C22⋊C4×C79—21no—
111C2×C42×C79—21no—
112#104×C79—28no—
113C22×Dic79—28no—
114C22×Dic79—22no—
115C22×Dic79—22no—
116C22×Dic79—21no—
117C22×Dic79—22no—
118C22×Dic79—21no—
119C22×Dic79—22no—
120C22×Dic79—44no—
121C22×Dic79—48no—
122#11929608—22no—
123#11929608—22no—
124#11929608—41no—
125#11929608—41no—
126C2×C79⋊C8—22no—
127C2×C79⋊C8—41no—
128C2×C79⋊C8—41no—
129C4⋊Dic79—28no—
130C4⋊Dic79—22no—
131C4⋊Dic79—22no—
132C4⋊Dic79—22no—
133C4⋊Dic79—22no—
134C22⋊Dic79—28no—
135C22⋊Dic79—22no—
136C22⋊Dic79—41no—
137C22⋊Dic79—41no—
138C22⋊Dic79C22⋊C414yes—
139C4×Dic79—28no—
140C4×Dic79—22no—
141C4×Dic79—22no—
142C4×Dic79—21no—
143C4×Dic79—22no—
144C4×Dic79—21no—
145C4×Dic79—22no—
146C4×Dic79—41no—
147C4×Dic79—41no—
148C4×Dic79C22⋊C412yes—
149C4×Dic79C22⋊C412yes—
150C24×C79—21no—
151C24×C79C2×D411yescharacteristic
152#41×C79—22no—
153#41×C79—22no—
154#41×C79—22no—
155#41×C79—22no—
156#41×C79—22no—
157#41×C79—22no—
158#41×C79—22no—
159#41×C79—22no—
160#41×C79—22no—
161#41×C79—22no—
162#41×C79—22no—
163#41×C79—22no—
164#41×C79C4214yes—
165#41×C79C22⋊C414yes—
166#41×C79C4⋊C414yes—
167#41×C79C4⋊C414yes—
168C2×Q8×C79—21no—
169C2×Q8×C79—21no—
170C2×Q8×C79—21no—
171C2×Q8×C79C22⋊C412yes—
172C2×Q8×C79C22⋊C412yes—
173C2×Q8×C79C4⋊C412yes—
174C2×D4×C79—22no—
175C2×D4×C79—22no—
176C2×D4×C79—22no—
177C2×D4×C79—22no—
178C2×D4×C79—22no—
179C2×D4×C79—22no—
180C2×D4×C79—21no—
181C2×D4×C79—21no—
182C2×D4×C79—21no—
183C2×D4×C79C22⋊C412yes—
184C2×D4×C79C22⋊C412yes—
185C2×D4×C79C4⋊C412yes—
186C22×C4×C79—21no—
187C22×C4×C79—22no—
188C22×C4×C79—22no—
189C22×C4×C79—22no—
190C22×C4×C79—22no—
191C22×C4×C79—22no—
192C22×C4×C79—22no—
193C22×C4×C79—41no—
194C22×C4×C79C22×C411yescharacteristic
195C22×C4×C79C22×C411yescharacteristic
196C22×C4×C79C22×C411yescharacteristic
197C22×C4×C79C2×D411yescharacteristic
198C22×C4×C79C2×D411yescharacteristic
199C22×C4×C79C2×D411yescharacteristic
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79C2×D411yescharacteristic
203C22×C4×C79C2×Q811yescharacteristic
204C22×C4×C79#4111yescharacteristic
205C22×C4×C79#4111yescharacteristic
206C22×C4×C79#4111yescharacteristic
207C22×C4×C79#4111yescharacteristic
208M16×C79—22no—
209M16×C79—22no—
210M16×C79—41no—
211M16×C79—41no—
212C2×C8×C79—22no—
213C2×C8×C79—41no—
214C2×C8×C79—41no—
215C4⋊C4×C79—22no—
216C4⋊C4×C79—41no—
217C22⋊C4×C79—22no—
218C22⋊C4×C79—41no—
219C42×C79—22no—
220C42×C79—41no—
221C23×C79—22no—
222C23×C79—22no—
223C23×C79—22no—
224C23×C79—42no—
225C23×C79—44no—
226C23×C79C2×C22⋊C411yescharacteristic
227C23×C79C4×D411yescharacteristic
228C23×C79C4×D411yescharacteristic
229C23×C79#12011yescharacteristic
230C23×C79#12011yescharacteristic
231C23×C79#12111yescharacteristic
232C23×C79C22⋊Q811yescharacteristic
233Q8×C79—22no—
234Q8×C79—22no—
235Q8×C79—22no—
236Q8×C79#9514yes—
237D4×C79—24no—
238D4×C79—24no—
239D4×C79—24no—
240D4×C79—24no—
241D4×C79—22no—
242D4×C79—22no—
243D4×C79—22no—
244D4×C79#9514yes—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—24no—
249C2×C4×C79—24no—
250C2×C4×C79—24no—
251C2×C4×C79—24no—
252C2×C4×C79—42no—
253C2×C4×C79—82no—
254C2×C4×C79C2×C4211yescharacteristic
255C2×C4×C79C2×C22⋊C411yescharacteristic
256C2×C4×C79C2×C22⋊C411yescharacteristic
257C2×C4×C79C2×C22⋊C411yescharacteristic
258C2×C4×C79C2×C22⋊C411yescharacteristic
259C2×C4×C79C2×C4⋊C411yescharacteristic
260C2×C4×C79C2×C4⋊C411yescharacteristic
261C2×C4×C79C2×C4⋊C411yescharacteristic
262C2×C4×C79#11711yescharacteristic
263C2×C4×C79#11711yescharacteristic
264C2×C4×C79C4×D411yescharacteristic
265C2×C4×C79C4×D411yescharacteristic
266C2×C4×C79C4×D411yescharacteristic
267C2×C4×C79C4×D411yescharacteristic
268C2×C4×C79C4×D411yescharacteristic
269C2×C4×C79C4×D411yescharacteristic
270C2×C4×C79#12011yescharacteristic
271C2×C4×C79#12011yescharacteristic
272C2×C4×C79#12111yescharacteristic
273C2×C4×C79#12111yescharacteristic
274C2×C4×C79#12111yescharacteristic
275C2×C4×C79C22⋊Q811yescharacteristic
276C2×C4×C79C22⋊Q811yescharacteristic
277C2×C4×C79C22⋊Q811yescharacteristic
278C2×C4×C79#12311yescharacteristic
279C2×C4×C79#12311yescharacteristic
280C2×C4×C79#12311yescharacteristic
281C2×C4×C79#12311yescharacteristic
282C2×Dic79—24no—
283C2×Dic79—22no—
284C2×Dic79—24no—
285C2×Dic79—22no—
286C2×Dic79—44no—
287C2×Dic79—44no—
288C2×Dic79—416no—
289C2×Dic79—44no—
290C2×Dic79—42no—
291C2×Dic79—42no—
292C2×Dic79—82no—
293C8×C79—42no—
294C79⋊C8—42no—
295C22×C79—22no—
296C22×C79—22no—
297C22×C79—22no—
298C22×C79—24no—
299C22×C79—41no—
300C22×C79—41no—
301C22×C79—41no—
302C22×C79—41no—
303C22×C79—44no—
304C22×C79—44no—
305C22×C79—44no—
306C22×C79C4×C22⋊C411yescharacteristic
307C22×C79#37911yescharacteristic
308C22×C79#38011yescharacteristic
309C22×C79#38511yescharacteristic
310C22×C79#38511yescharacteristic
311C22×C79#38611yescharacteristic
312C22×C79#38611yescharacteristic
313C4×C79—24no—
314C4×C79—82no—
315C4×C79C2×#9511yescharacteristic
316C4×C79C4×C22⋊C411yescharacteristic
317C4×C79#38011yescharacteristic
318C4×C79#38111yescharacteristic
319C4×C79#38511yescharacteristic
320C4×C79#38511yescharacteristic
321C4×C79#38611yescharacteristic
322C4×C79#38611yescharacteristic
323Dic79—24no—
324Dic79—44no—
325Dic79—42no—
326Dic79—82no—
327#10772—791nomaximal, Sylow
328C2×C79—21no—
329C2×C79—21no—
330C2×C79—21no—
331C2×C79—21no—
332C2×C79—21no—
333C2×C79—21no—
334C2×C79—44no—
335C2×C79C22⋊#9511yescharacteristic
336C2×C79#190612yes—
337C2×C4×#41—791no—
338C2×#421D7911yescharacteristic
339#2896—791no—
340C2×#344—791no—
341#1740—791no—
342C2×#339—791no—
343C2×#339—791no—
344C79#1077211yescharacteristic, complemented, Sylow
345C22×#41C2×D7911yescharacteristic
346C22×M16—791no—
347C22×M16C2×D7911yescharacteristic
348C4×#41—794no—
349C4×#41—1582no—
350C4×#41—1582no—
351C4×#41—1582no—
352C2×C4×Q8—1581no—
353C2×C4×D4—1582no—
354C2×C4×D4—1581no—
355C2×#117—791no—
356C2×#117—791no—
357C2×#117—1581no—
358C2×#117C2×D7911yescharacteristic
359C22×C42—791no—
360C22×C42—1581no—
361#421—22no—
362#421Dic7914yescomplemented
363C2×#104—22no—
364#419—1581no—
365#418—1581no—
366#417—794no—
367#416—1582no—
368#344—1582no—
369#342—1582no—
370#339—1582no—
371#339—1581no—
372#339—1581no—
373C2×#41—21no—
374C2×#41—21no—
375C2×#41—21no—
376C2×#41—21no—
377C2×#41—21no—
378C2×#41—21no—
379C2×#41Dic15812yes—
380C2×#41C4×D7912yes—
381C2×#41C4×D7912yes—
382C2×#41C2×Dic7912yes—
383C2×#41C22⋊D7912yes—
384C2×#41C22⋊D7912yes—
385C22×Q8D31611yescharacteristic
386C22×D4—21no—
387C22×D4D31611yescharacteristic
388C23×C4—21no—
389C23×C4—1582no—
390C23×C4—1581no—
391C23×C4C22×D7911yescharacteristic
392C2×M16—21no—
393C2×M16—21no—
394C2×M16—21no—
395C2×M16—21no—
396C2×M16—21no—
397C2×M16—792no—
398C2×M16—1581no—
399C2×M16—1581no—
400C2×M16—1581no—
401C2×M16—1581no—
402C2×M16—1581no—
403C2×M16C2×Dic7912yescomplemented
404C22×C8—21no—
405C22×C8—1581no—
406C4×Q8—1584no—
407C4×Q8—1584no—
408C4×D4—1588no—
409C4×D4—1588no—
410C4×D4—1584no—
411C4×D4—1584no—
412#117—21no—
413#117—21no—
414#117—21no—
415#117—792no—
416#117—792no—
417#117—1581no—
418#117—1581no—
419#117—1581no—
420#117—1581no—
421#117—1584no—
422#117—1584no—
423#117—1581no—
424#117—1581no—
425#117C2×Dic7912yescomplemented
426C2×C4⋊C4—21no—
427C2×C4⋊C4—792no—
428C2×C4⋊C4—1582no—
429C2×C4⋊C4—1581no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—792no—
432C2×C22⋊C4—1581no—
433C2×C22⋊C4—1582no—
434C2×C42—21no—
435C2×C42—792no—
436C2×C42—791no—
437C2×C42—792no—
438C2×C42—791no—
439C2×C42—1581no—
440C2×C42—1584no—
441C2×C42—1582no—
442C2×C42—1584no—
443C2×C42—1581no—
444C2×C42—1581no—
445C2×C42—1581no—
446C2×C42—1581no—
447#104—28no—
448#103—1584no—
449#102—1584no—
450C24—21no—
451C24D4×D7911yescharacteristic
452#41—22no—
453#41—22no—
454#41—22no—
455#41—22no—
456#41—22no—
457#41—22no—
458#41—22no—
459#41—22no—
460#41—22no—
461#41—22no—
462#41—22no—
463#41—22no—
464#41C4×Dic7914yes—
465#41C22⋊Dic7914yes—
466#41Dic79⋊C414yes—
467#41Dic79⋊C414yes—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8(C2×D79)⋊C412yes—
472C2×Q8(C2×D79)⋊C412yes—
473C2×Q8C4⋊Dic7912yes—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4(C2×D79)⋊C412yes—
484C2×D4(C2×D79)⋊C412yes—
485C2×D4C4⋊Dic7912yes—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—41no—
494C22×C4—3164no—
495C22×C4—3168no—
496C22×C4—1588no—
497C22×C4—1582no—
498C22×C4—1582no—
499C22×C4—1581no—
500C22×C4—1582no—
501C22×C4—1582no—
502C22×C4—1581no—
503C22×C4C2×C4×D7911yescharacteristic
504C22×C4C2×C4×D7911yescharacteristic
505C22×C4C22×Dic7911yescharacteristic
506C22×C4D4×D7911yescharacteristic
507C22×C4D4×D7911yescharacteristic
508C22×C4D4×D7911yescharacteristic
509C22×C4C2×C22⋊D7911yescharacteristic
510C22×C4C2×C22⋊D7911yescharacteristic
511C22×C4C2×D31611yescharacteristic
512C22×C4C2×Dic15811yescharacteristic
513C22×C4#1192962311yescharacteristic
514C22×C4#1192962311yescharacteristic
515C22×C4#1192962311yescharacteristic
516C22×C4#1192962311yescharacteristic
517M16—22no—
518M16—22no—
519M16—41no—
520M16—41no—
521M16—3161no—
522M16—3161no—
523M16—1582no—
524M16—1582no—
525C2×C8—22no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—3161no—
529C2×C8—3161no—
530C2×C8—1582no—
531C4⋊C4—22no—
532C4⋊C4—41no—
533C4⋊C4—1588no—
534C4⋊C4—1582no—
535C4⋊C4—1582no—
536C4⋊C4—1582no—
537C4⋊C4—1582no—
538C22⋊C4—22no—
539C22⋊C4—41no—
540C22⋊C4—3161no—
541C22⋊C4—3161no—
542C22⋊C4—794no—
543C22⋊C4—1588no—
544C22⋊C4—1582no—
545C42—22no—
546C42—41no—
547C42—3161no—
548C42—3161no—
549C42—792no—
550C42—792no—
551C42—1588no—
552C42—1582no—
553C42—1582no—
554C42—1581no—
555C42—1581no—
556C42—1582no—
557C42—1582no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—42no—
562C23—44no—
563C23C22⋊C4×D7911yescharacteristic
564C23(C22⋊D79)⋊C411yescharacteristic
565C23D4×Dic7911yescharacteristic
566C23#1457912911yescharacteristic
567C23#1457913111yescharacteristic
568C23#1457913311yescharacteristic
569C23#1457913811yescharacteristic
570Q8—22no—
571Q8—22no—
572Q8—22no—
573Q8C79⋊#9514yes—
574D4—24no—
575D4—24no—
576D4—24no—
577D4—24no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4C79⋊#9514yes—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—42no—
590C2×C4—82no—
591C2×C4—3162no—
592C2×C4—3164no—
593C2×C4—3164no—
594C2×C4—3164no—
595C2×C4—31616no—
596C2×C4—3162no—
597C2×C4—6322no—
598C2×C4—1582no—
599C2×C4—1584no—
600C2×C4—1584no—
601C2×C4—1582no—
602C2×C4C2×C4×Dic7911yescharacteristic
603C2×C4C22⋊C4×D7911yescharacteristic
604C2×C4C2×(C2×D79)⋊C411yescharacteristic
605C2×C4C2×(C2×D79)⋊C411yescharacteristic
606C2×C4C2×C22⋊Dic7911yescharacteristic
607C2×C4C2×Dic79⋊C411yescharacteristic
608C2×C4C2×Dic79⋊C411yescharacteristic
609C2×C4C2×C4⋊Dic7911yescharacteristic
610C2×C4#1457911711yescharacteristic
611C2×C4#1457911711yescharacteristic
612C2×C4(C22⋊D79)⋊C411yescharacteristic
613C2×C4(C22⋊D79)⋊C411yescharacteristic
614C2×C4(C22⋊D79)⋊C411yescharacteristic
615C2×C4D4×Dic7911yescharacteristic
616C2×C4D4×Dic7911yescharacteristic
617C2×C4D4×Dic7911yescharacteristic
618C2×C4#1457912911yescharacteristic
619C2×C4#1457913111yescharacteristic
620C2×C4#1457913311yescharacteristic
621C2×C4#1457913311yescharacteristic
622C2×C4#1457913311yescharacteristic
623C2×C4#1457913811yescharacteristic
624C2×C4#1457913811yescharacteristic
625C2×C4#1457913811yescharacteristic
626C2×C4#1457914211yescharacteristic
627C2×C4#1457914211yescharacteristic
628C2×C4#1457914511yescharacteristic
629C2×C4#1457914511yescharacteristic
630C8—42no—
631C8—3162no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—24no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22C22⋊C4×Dic7911yescharacteristic
644C22#1909841811yescharacteristic
645C22#1909842111yescharacteristic
646C22#1909843511yescharacteristic
647C22#1909843811yescharacteristic
648C22#1909844011yescharacteristic
649C22#1909844311yescharacteristic
650C4—24no—
651C4—82no—
652C4—3162no—
653C4—3164no—
654C4—6322no—
655C4—1584no—
656C4C2×C79⋊#9511yescharacteristic
657C4C22⋊C4×Dic7911yescharacteristic
658C4#1909842111yescharacteristic
659C4#1909842411yescharacteristic
660C4#1909843511yescharacteristic
661C4#1909843811yescharacteristic
662C4#1909844011yescharacteristic
663C4#1909844311yescharacteristic
664C2—21no—
665C2—21no—
666C2—21no—
667C2—21no—
668C2—21no—
669C2—21no—
670C2—44no—
671C2#2376162211yescharacteristic
672C2#2376389912yes—
subgroupG/H
centerC2×C4#14579133
commutatorC2×C4×C79C2×C42
FrattiniC23×C4C22×D79
FittingC2×#421×C79C2
socleC22×C79#386
prime radicalC22×#41×C79C22
cosocleC23×C4×C79C23
hypercenterC2×#421D79
hypocenterC79#10772
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
3. C2×#19098334C2semidirect
4. #23763132C2semidirect
5. C2×#19098324C2semidirect
6. C2×#19098322C2semidirect
12. #41×Dic79C4semidirect
23. #19098564C4semidirect
34. #421×C79C4semidirect
43. C2×#11929608C2×C4semidirect
63. C2×C4⋊Dic79C2×C4semidirect
103. C2×M16×C79C2×C4semidirect
108. #117×C79C2×C4semidirect
344. C79#10772semidirect
362. #421Dic79semidirect
403. C2×M16C2×Dic79semidirect
425. #117C2×Dic79semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic792
#237719192
C2×#190983342
#237631322
C2×#190983242
C2×#190983222
C2×#421×C792
#1077279