Finite Group Databasebeta

← C2×#21457030 #30552162

Subgroups — C2×#21457030 #30552162

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840315C211yesmaximal, characteristic
2C2×#16840314C211yesmaximal, characteristic
3#21457030C2116yesmaximal, direct product factor
4C2×#16840170C211yesmaximal, characteristic, complemented
5C2×#16840169C211yesmaximal, characteristic, complemented
6C2×#16840129C211yesmaximal, characteristic, complemented
7C2×#16840129C211yesmaximal, characteristic, complemented
8C2×#16840104C211yesmaximal, characteristic
9C2×#16840103C211yesmaximal, characteristic
10C2×#16840100C211yesmaximal, characteristic
11C2×#16840056C211yesmaximal, characteristic, complemented
12C2×#16840055C211yesmaximal, characteristic, complemented
13C2×#16840046C211yesmaximal, characteristic, complemented
14C2×#16840045C211yesmaximal, characteristic, complemented
15C2×#16839816C211yesmaximal, characteristic
16C2×C61×#485C211yesmaximal, characteristic
17#16840315—24no—
18#16840315C2218yes—
19#16840314—24no—
20#16840314C2218yes—
21C2×#14519776C2211yescharacteristic
22C2×#14519776C2211yescharacteristic
23C2×#14519776C2211yescharacteristic
24C2×#14519775C2211yescharacteristic
25C2×#14519768C2211yescharacteristic
26C2×#14519768C2211yescharacteristic
27C2×#14519767—21no—
28C2×#14519756C2211yescharacteristic
29C2×#14519754—21no—
30C2×#14519754—21no—
31C2×#14519754—21no—
32C2×Q8×Dic61C2211yescharacteristic
33C2×C4×Dic122—21no—
34C2×C4×Dic122—21no—
35C2×#14519742—21no—
36C2×#14519742C2211yescharacteristic
37C2×#14519736C2211yescharacteristic
38C2×#14519733—21no—
39C22×C4×Dic61C2211yescharacteristic
40#16840170C2218yescomplemented
41#16840169C2218yescomplemented
42#16840129C2218yescomplemented
43#16840129C2218yescomplemented
44#16840104C2218yes—
45#16840103C2218yes—
46#16840100C2218yes—
47#16840056C2218yescomplemented
48#16840055C2218yescomplemented
49#16840046C2218yescomplemented
50#16840045C2218yescomplemented
51#16839816C2218yes—
52C2×#14519711C2211yescharacteristic
53C2×#14519710C2211yescharacteristic
54C2×#14519710C2211yescharacteristic
55C2×#14519709C2211yescharacteristic
56C2×#14519708C2211yescharacteristic
57C2×#14519708C2211yescharacteristic
58C2×#14519706C2211yescharacteristic
59C2×#14519706C2211yescharacteristic
60C2×#14519702C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519701C2211yescharacteristic
63C2×#14519701C2211yescharacteristic
64C2×#14519700C2211yescharacteristic
65C2×#14519700C2211yescharacteristic
66C2×C22⋊#92418C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×#14519687C2211yescharacteristic
69C2×C22⋊Q8×C61C2211yescharacteristic
70C2×#117×C61C2211yescharacteristic
71C61×#485C2218yes—
72C2×#107×C61C2211yescharacteristic
73C2×#106×C61C2211yescharacteristic
74C2×#103×C61C2211yescharacteristic
75C2×#103×C61C2211yescharacteristic
76C2×C22⋊C8×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122—21no—
79C22×Dic122—21no—
80C22×Dic122C2311yescharacteristic
81C23×Dic61D411yescharacteristic
82C23×Dic61D411yescharacteristic
83C22×#92418C2311yescharacteristic
84C22×#92418C2311yescharacteristic
85#14519776—22no—
86#14519776—22no—
87#14519776—22no—
88#14519776C2314yes—
89#14519776C2314yes—
90#14519776C2314yes—
91#14519775—22no—
92#14519775C2314yes—
93#14519768—22no—
94#14519768—22no—
95#14519768C2314yes—
96#14519768C2314yes—
97#14519767—28no—
98#14519756—22no—
99#14519756C2314yes—
100#14519754—28no—
101#14519754—28no—
102#14519754—28no—
103Q8×Dic61—22no—
104Q8×Dic61C2314yes—
105C4×Dic122—28no—
106C4×Dic122—28no—
107#14519742—28no—
108#14519742—22no—
109#14519742C2314yes—
110#14519736—22no—
111#14519736C2314yes—
112#14519733—28no—
113C2×C4⋊Dic61—21no—
114C2×C4⋊Dic61—21no—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61C2311yescharacteristic
117C2×C4⋊Dic61C2311yescharacteristic
118C2×C4⋊Dic61C2311yescharacteristic
119C2×#11758196—21no—
120C2×#11758196—21no—
121C2×#11758196—21no—
122C2×#11758196—21no—
123C2×#11758196—21no—
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×C22⋊Dic61—21no—
129C2×C22⋊Dic61—21no—
130C2×C4×Dic61—21no—
131C2×C4×Dic61—21no—
132C2×C4×Dic61—21no—
133C2×C4×Dic61D411yescharacteristic
134C2×C4×Dic61D411yescharacteristic
135C2×C4×Dic61D414yes—
136C2×C4×Dic61C2311yescharacteristic
137C2×C4×Dic61C2311yescharacteristic
138C2×C4×Dic61C2314yes—
139#14519711C2314yes—
140#14519710C2314yes—
141#14519710C2314yes—
142#14519709C2314yes—
143#14519708C2314yes—
144#14519708C2314yes—
145#14519706C2314yes—
146#14519706C2314yes—
147#14519702C2314yes—
148#14519702C2314yes—
149#14519701C2314yes—
150#14519701C2314yes—
151#14519700C2314yes—
152#14519700C2314yes—
153C22⋊#92418C2314yes—
154#14519687C2314yes—
155#14519687C2314yes—
156C22×Q8×C61C2311yescharacteristic
157C23×C4×C61C2311yescharacteristic
158C22×C8×C61C2311yescharacteristic
159C22×C8×C61C2311yescharacteristic
160C22⋊Q8×C61—22no—
161C22⋊Q8×C61C2314yes—
162#117×C61—22no—
163#117×C61C2314yes—
164C2×C4⋊C4×C61—21no—
165C2×C4⋊C4×C61C2311yescharacteristic
166C2×C4⋊C4×C61C2311yescharacteristic
167C2×C4⋊C4×C61C2311yescharacteristic
168C2×C22⋊C4×C61—21no—
169C2×C22⋊C4×C61—21no—
170C2×C42×C61—21no—
171#107×C61C2314yes—
172#106×C61C2314yes—
173#103×C61C2314yes—
174#103×C61C2314yes—
175C22⋊C8×C61C2314yes—
176C24×C61C2×D411yescharacteristic
177C2×Q8×C61—21no—
178C2×Q8×C61—22no—
179C2×Q8×C61—22no—
180C2×Q8×C61C2412yes—
181C22×C4×C61—22no—
182C22×C4×C61—22no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61—21no—
186C22×C4×C61—21no—
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D412yes—
189C22×C4×C61C2412yes—
190C22×C4×C61C2411yescharacteristic
191C22×Dic61—24no—
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C22×Dic61—42no—
197C22×Dic61C2×D411yescharacteristic
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C22×Dic61C2×D414yes—
201C22×Dic61C2×D414yes—
202C22×Dic61C2×D411yescharacteristic
203C2×Dic122—22no—
204C2×Dic122—22no—
205C2×Dic122—21no—
206C2×Dic122—24no—
207C2×Dic122—24no—
208C2×Dic122—24no—
209C2×Dic122—44no—
210C2×Dic122—44no—
211C2×Dic122—44no—
212C2×Dic122C2412yes—
213C2×C8×C61—22no—
214C2×C8×C61—22no—
215C2×C8×C61C2412yes—
216C2×C8×C61C2412yes—
217C4⋊C4×C61—24no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C2412yes—
222C4⋊C4×C61C2412yes—
223C4⋊C4×C61C2412yes—
224C22⋊C4×C61—24no—
225C22⋊C4×C61—24no—
226C42×C61—24no—
227C22⋊Dic61—24no—
228C22⋊Dic61—24no—
229C4⋊Dic61—21no—
230C4⋊Dic61—21no—
231C4⋊Dic61—21no—
232C4⋊Dic61—24no—
233C4⋊Dic61—24no—
234C4⋊Dic61—24no—
235C4⋊Dic61C2412yes—
236C4⋊Dic61C2412yes—
237C4⋊Dic61C2412yes—
238#11758196—24no—
239#11758196—24no—
240#11758196—24no—
241#11758196—24no—
242#11758196—24no—
243#11758196—24no—
244#11758196—24no—
245#11758196—24no—
246#11758196—24no—
247C4×Dic61—24no—
248C4×Dic61—24no—
249C4×Dic61—24no—
250C4×Dic61C2×D414yes—
251C4×Dic61C2×D412yes—
252C4×Dic61C2×D414yes—
253C4×Dic61C2×D412yes—
254C4×Dic61C2412yes—
255C4×Dic61C2412yes—
256C2×#92418—22no—
257C2×#92418—22no—
258C2×#92418C2412yes—
259C2×#92418C2412yes—
260C23×C61—22no—
261C23×C61—22no—
262C23×C61—22no—
263C23×C61C22×D412yes—
264C23×C61C22×D411yescharacteristic
265Q8×C61—22no—
266Q8×C61—22no—
267Q8×C61—42no—
268C2×C4×C61—22no—
269C2×C4×C61—24no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61C22×D412yes—
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C612−1+412yes—
283C2×C4×C612−1+412yes—
284C2×C4×C61C2511yescharacteristic
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—28no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—44no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61#13714yes—
299C2×Dic61C22×D412yes—
300C2×Dic61C22×D412yes—
301C2×Dic61C22×D412yes—
302C2×Dic61C22×D412yes—
303Dic122—22no—
304Dic122—22no—
305Dic122—48no—
306Dic122—48no—
307Dic122—42no—
308Dic122—48no—
309C8×C61—22no—
310C8×C61—22no—
311#92418—22no—
312#92418—22no—
313C2×#3237—611nomaximal, Sylow
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—44no—
318C22×C61#53612yes—
319C22×C61C2×#13712yes—
320C22×C61#57512yes—
321C22×C61C23×D411yescharacteristic
322C4×C61—22no—
323C4×C61—42no—
324C4×C61—42no—
325C4×C61—42no—
326C4×C61—42no—
327C4×C61#53612yes—
328C4×C61C2×2−1+411yescharacteristic
329C4×C61C2×2−1+411yescharacteristic
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—42no—
334Dic61—42no—
335Dic61—42no—
336Dic61—42no—
337Dic61C2×#13714yes—
338C2×#533—611no—
339C2×#533—611no—
340#3237—6116no—
341C2×#501—611no—
342C2×#501—611no—
343C2×#491—611no—
344C2×#491—611no—
345C2×#485—611no—
346C2×#485—611no—
347C2×#485—611no—
348C2×#485D6111yescharacteristic
349C2×#477—611no—
350C2×#477—611no—
351C2×#475—611no—
352C2×#475—611no—
353C2×#432—611no—
354C2×C61—42no—
355C2×C61#323714yescomplemented
356C2×C61C2×#53611yescharacteristic
357C2×C61C22×#13711yescharacteristic
358C2×C61C2×#57511yescharacteristic
359#533—618no—
360#533—618no—
361#533—1224no—
362#533—1224no—
363C2×C4⋊Q8—611no—
364C2×C4⋊Q8—611no—
365C2×C4⋊Q8—611no—
366C2×C4⋊Q8—611no—
367C2×#125—611no—
368C2×#125—611no—
369C2×#125—1221no—
370C2×C22⋊Q8—611no—
371C2×C22⋊Q8—1221no—
372C2×C22⋊Q8—1221no—
373C2×C22⋊Q8—1221no—
374C2×C22⋊Q8C2×D6111yescharacteristic
375C2×C4×Q8—611no—
376C2×C4×Q8—611no—
377C2×C4×Q8—1221no—
378C2×C4×Q8—1221no—
379C2×C4×Q8—1221no—
380C2×#117—611no—
381C2×#117—1221no—
382C2×#117C2×D6111yescharacteristic
383C22×C42—611no—
384#501—618no—
385#501—618no—
386#491—618no—
387#491—618no—
388#485—618no—
389#485—618no—
390#485—618no—
391#485C2×D6118yes—
392#477—618no—
393#477—618no—
394#475—618no—
395#475—618no—
396#432—618no—
397C2×#107—611no—
398C2×#107—611no—
399C2×#107—611no—
400C2×#107C2×D6111yescharacteristic
401C2×#106—611no—
402C2×#106—611no—
403C2×#106—611no—
404C2×#106C2×D6111yescharacteristic
405C2×C4⋊C8—611no—
406C2×C4⋊C8—611no—
407C2×#103—611no—
408C2×#103—611no—
409C2×#103—611no—
410C2×#103—611no—
411C2×#103—611no—
412C2×#103—611no—
413C2×#103C2×D6111yescharacteristic
414C2×#103C2×D6111yescharacteristic
415C2×C22⋊C8—611no—
416C2×C22⋊C8C2×D6111yescharacteristic
417C2×#97—611no—
418C2×#97—611no—
419C61C2×#323711yescharacteristic, complemented, Sylow
420C22×Q8—611no—
421C22×Q8—1221no—
422C22×Q8—1221no—
423C22×Q8—1221no—
424C22×Q8C22×D6111yescharacteristic
425C23×C4—611no—
426C23×C4—611no—
427C23×C4C22×D6111yescharacteristic
428C22×C8—611no—
429C22×C8—611no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432C4⋊Q8—614no—
433C4⋊Q8—614no—
434C4⋊Q8—614no—
435C4⋊Q8—614no—
436C4⋊Q8—1222no—
437C4⋊Q8—1222no—
438C4⋊Q8—1222no—
439C4⋊Q8—1222no—
440#125—614no—
441#125—614no—
442#125—1222no—
443#125—1222no—
444#125—1228no—
445C22⋊Q8—22no—
446C22⋊Q8—614no—
447C22⋊Q8—1228no—
448C22⋊Q8—1228no—
449C22⋊Q8—1228no—
450C22⋊Q8—1222no—
451C22⋊Q8C22×D6114yes—
452C4×Q8—614no—
453C4×Q8—614no—
454C4×Q8—1228no—
455C4×Q8—1228no—
456C4×Q8—1222no—
457C4×Q8—1228no—
458C4×Q8—1222no—
459#117—22no—
460#117—614no—
461#117—1228no—
462#117—1222no—
463#117C22×D6114yes—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4C22×D6111yescharacteristic
481C2×C4⋊C4C22×D6111yescharacteristic
482C2×C4⋊C4C22×D6111yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C42—21no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—614no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—614no—
494C2×C42—1221no—
495C2×C42—1221no—
496C2×C42—1221no—
497#107—614no—
498#107—614no—
499#107—614no—
500#107C22×D6114yes—
501#106—614no—
502#106—614no—
503#106—614no—
504#106C22×D6114yes—
505C4⋊C8—614no—
506C4⋊C8—614no—
507#103—614no—
508#103—614no—
509#103—614no—
510#103—614no—
511#103—614no—
512#103—614no—
513#103C22×D6114yes—
514#103C22×D6114yes—
515C22⋊C8—614no—
516C22⋊C8C22×D6114yes—
517#97—614no—
518#97—614no—
519C24D4×D6111yescharacteristic
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—612no—
524C2×Q8—1224no—
525C2×Q8—1224no—
526C2×Q8—1224no—
527C2×Q8—1221no—
528C2×Q8—1222no—
529C2×Q8—1222no—
530C2×Q8—2444no—
531C2×Q8—2444no—
532C2×Q8—2444no—
533C2×Q8C23×D6112yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—611no—
541C22×C4—614no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—614no—
546C22×C4—1224no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—2442no—
552C22×C4D4×D6112yes—
553C22×C4D4×D6111yescharacteristic
554C22×C4C23×D6112yes—
555C22×C4C23×D6111yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—612no—
559C2×C8—612no—
560C2×C8—1222no—
561C2×C8—1222no—
562C2×C8C23×D6112yes—
563C2×C8C23×D6112yes—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—612no—
569C4⋊C4—612no—
570C4⋊C4—612no—
571C4⋊C4—1224no—
572C4⋊C4—1224no—
573C4⋊C4—1224no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—1224no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1224no—
586C4⋊C4C23×D6112yes—
587C4⋊C4C23×D6112yes—
588C4⋊C4C23×D6112yes—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—1224no—
592C22⋊C4—1224no—
593C42—24no—
594C42—614no—
595C42—614no—
596C42—612no—
597C42—612no—
598C42—612no—
599C42—612no—
600C42—1224no—
601C42—1224no—
602C42—1224no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23C2×D4×D6112yes—
607C23C2×D4×D6111yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—1222no—
612Q8—1222no—
613Q8—2448no—
614Q8—2448no—
615Q8—2448no—
616Q8—2442no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—614no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—1228no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—2444no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4—2442no—
646C2×C4—2442no—
647C2×C4C2×D4×D6112yes—
648C2×C4C2×D4×D6111yescharacteristic
649C2×C4#1451982412yes—
650C2×C4#1451982412yes—
651C2×C4C24×D6111yescharacteristic
652C8—22no—
653C8—22no—
654C8—1222no—
655C8—1222no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22#1684033412yes—
661C22#137×D6112yes—
662C22#1684055912yes—
663C22C22×D4×D6111yescharacteristic
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—614no—
670C4—1222no—
671C4—1222no—
672C4—1222no—
673C4—2442no—
674C4—2442no—
675C4—2442no—
676C4—2442no—
677C4#1684033412yes—
678C4C2×#1451982411yescharacteristic
679C4C2×#1451982411yescharacteristic
680C2—42no—
681C2#2145703014yesdirect product factor
682C2C2×#1684033411yescharacteristic
683C2C2×#137×D6111yescharacteristic
684C2C2×#1684055911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#485C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
hypercenterC2×#485D61
hypocenterC61C2×#3237
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #21457030C2direct (N × H)
4. C2×#16840170C2semidirect
5. C2×#16840169C2semidirect
6. C2×#16840129C2semidirect
7. C2×#16840129C2semidirect
11. C2×#16840056C2semidirect
12. C2×#16840055C2semidirect
13. C2×#16840046C2semidirect
14. C2×#16840045C2semidirect
40. #16840170C22semidirect
41. #16840169C22semidirect
42. #16840129C22semidirect
43. #16840129C22semidirect
47. #16840056C22semidirect
48. #16840055C22semidirect
49. #16840046C22semidirect
50. #16840045C22semidirect
355. C2×C61#3237semidirect
419. C61C2×#3237semidirect
681. C2#21457030direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403152
C2×#168403142
#214570302
C2×#168401702
C2×#168401692
C2×#168401292
C2×#168401042
C2×#168401032
C2×#168401002
C2×#168400562
C2×#168400552
C2×#168400462
C2×#168400452
C2×#168398162
C2×C61×#4852
C2×#323761