Finite Group Databasebeta

← #11872504

Subgroups — #11872504

Order 1152.

795 conjugacy classes of subgroups.

The subgroup lattice has 723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593890C211yesmaximal, characteristic
2#10593862C211yesmaximal, characteristic, complemented
3#10592546C211yesmaximal, characteristic, complemented
4C3×#4849C211yesmaximal, characteristic, complemented
5C3×#4840C211yesmaximal, characteristic, complemented
6#10590966C211yesmaximal, characteristic
7#10590966C211yesmaximal, characteristic
8#10590812C211yesmaximal, characteristic, complemented
9Dic3×Dic12C211yesmaximal, characteristic, complemented
10#10590795C211yesmaximal, characteristic, complemented
11#10590792C211yesmaximal, characteristic, complemented
12#10590682C211yesmaximal, characteristic, complemented
13#10590675C211yesmaximal, characteristic, complemented
14#10590379C211yesmaximal, characteristic, complemented
15#10590302C211yesmaximal, characteristic, complemented
16#80460—31nomaximal
17#79385—31nomaximal
18C2×#3799C2211yescharacteristic
19C4×C4⋊(C3⋊D3)C2211yescharacteristic
20#64079C2211yescharacteristic
21C2×C3×Dic12C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C3×#872C2211yescharacteristic
24C3×#869C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63894C2211yescharacteristic
27D3×C4⋊Dic3C2211yescharacteristic
28#63883—21no—
29#63881—21no—
30#63880—21no—
31#63858—21no—
32#63858—21no—
33#63856C2211yescharacteristic
34#63856C2211yescharacteristic
35#63847—21no—
36#63847—21no—
37Dic3×Dic6C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×C4⋊C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47#63644C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63566C2211yescharacteristic
61#5731—31no—
62#5574—31no—
63#5523—31no—
64#5518—31no—
65C3×#462—31no—
66C3×#433—31no—
67#5187—31no—
68#5187—31no—
69#5184—31no—
70Dic3×Q16—31no—
71#5083—31no—
72#5022—31no—
73#4849D311yescharacteristic, complemented
74#4847—31no—
75#4847—31no—
76#4847—61no—
77#4841—31no—
78#4840D311yescharacteristic, complemented
79#4829—31no—
80#4817—31no—
81#4811—31no—
82#4805—31no—
83#4788—31no—
84#4733—31no—
85#4733—31no—
86#4722—31no—
87#4721—31no—
88#4716—31no—
89#4710—31no—
90C4×Dic12—31no—
91C4×#204—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C3×C4×D3C2311yescharacteristic
95C2×C3×Dic6C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#626—21no—
99C2×#624—21no—
100C2×#624—21no—
101C2×D3×Dic3—21no—
102#3799—22no—
103#3799—22no—
104C2×C32×C8C2311yescharacteristic
105C2×C32×C8C2311yescharacteristic
106C32×C42C2311yescharacteristic
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112#3750—21no—
113C3×(C2×D3)⋊C4D411yescharacteristic
114C3×(C2×D3)⋊C4D411yescharacteristic
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×Dic3⋊C4—21no—
119C3×Dic3⋊C4D411yescharacteristic
120C3×Dic3⋊C4D411yescharacteristic
121C3×C4×Dic3—21no—
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×Dic12—22no—
126C3×Dic12—22no—
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3717—22no—
141#3120—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C2×C3×Q16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—31no—
148C3×#117—31no—
149#946—31no—
150#946—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154C2×#215—31no—
155C2×#215—31no—
156C2×C4⋊Dic3—31no—
157#924—31no—
158#924—31no—
159C2×Dic12C2×D311yescharacteristic
160C2×Dic12C2×D311yescharacteristic
161C2×#204—31no—
162C2×#204—31no—
163#898—61no—
164#898—61no—
165#893—31no—
166#893—61no—
167#892—61no—
168D3×C4⋊C4—31no—
169D3×C4⋊C4—61no—
170D3×C4⋊C4—61no—
171#889—61no—
172#889—61no—
173#889—61no—
174#889—61no—
175#67⋊C4—61no—
176#67⋊C4—61no—
177#879—61no—
178#879—61no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—61no—
183C4×D12—61no—
184#872—61no—
185#872C2×D311yescharacteristic
186#870—31no—
187#870—31no—
188#870—61no—
189#869C2×D311yescharacteristic
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#835—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821—61no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#817—31no—
221#817—31no—
222#817—31no—
223#817—61no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816C2×D311yescharacteristic
229#816C2×D311yescharacteristic
230#815C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232#808—31no—
233#807—31no—
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3C2×D411yescharacteristic
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)#4112yes—
245C4×C3⋊D3—81no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×C4×D3—21no—
254C3×C4×D3—21no—
255C3×Dic6—21no—
256C3×Dic6—21no—
257C3×Dic6—21no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6#4112yes—
261#626—24no—
262#624—24no—
263#624—81no—
264D3×Dic3—81no—
265C32×C8—21no—
266C32×C8—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#541—91no—
270#520—91no—
271#484—91no—
272#483—91no—
273#479—91no—
274#478—91no—
275#462—31no—
276#461—91no—
277#452—91no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—91no—
282C4×SD16—91no—
283#433—31no—
284C2×C3×Q8—31no—
285C2×C3×Q8—31no—
286C2×C3×Q8—31no—
287C22×C3×C4—31no—
288C2×#67—61no—
289C22×Dic3—61no—
290#239—62no—
291#239—62no—
292#235—62no—
293#235—62no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—121no—
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×Q16—62no—
311C3×Q16—62no—
312C2×C3×C8—21no—
313C2×C3×C8—21no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C2×C3×C8C22×D311yescharacteristic
317C2×C3×C8C22×D311yescharacteristic
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C22⋊C4—31no—
327C3×C22⋊C4—31no—
328C3×C42—21no—
329C3×C42—31no—
330C3×C42—61no—
331C3×C42C22×D311yescharacteristic
332C3×C42C22×D311yescharacteristic
333#217—61no—
334#217—61no—
335#215—62no—
336#215—62no—
337(C2×D3)⋊C4—61no—
338(C2×D3)⋊C4—61no—
339(C2×D3)⋊C4—61no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—121no—
344(C2×D3)⋊C4D1211yescharacteristic
345(C2×D3)⋊C4D1211yescharacteristic
346C4⋊Dic3—21no—
347C4⋊Dic3—21no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3C22×D311yescharacteristic
362Dic3⋊C4—21no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376Dic3⋊C4—121no—
377Dic3⋊C4D1211yescharacteristic
378Dic3⋊C4D1211yescharacteristic
379C4×Dic3—21no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3C22×D311yescharacteristic
387C2×C3⋊C8C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389Dic12—22no—
390Dic12—22no—
391#204—62no—
392#204—62no—
393C22×C32C22×D411yescharacteristic
394C2×C3⋊D3—22no—
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C32×C4—21no—
401C32×C4—21no—
402C32×C4C2×#4111yescharacteristic
403C32×C4C2×#4111yescharacteristic
404C3⋊Dic3—41no—
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3×Dic3—21no—
408C3×Dic3—22no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C2×#41—91no—
415C2×Q16—31no—
416C2×Q16—31no—
417C2×SD16—91no—
418C2×SD16—91no—
419C4⋊Q8—31no—
420#126—181no—
421#126—181no—
422#125—91no—
423#125—181no—
424#125—181no—
425C22⋊Q8—91no—
426C22⋊Q8—91no—
427C4×Q8—31no—
428C4×Q8—91no—
429C4×Q8—91no—
430C4×Q8—91no—
431C4×D4—91no—
432C4×D4—91no—
433C4×D4—181no—
434C4×D4—181no—
435#117—31no—
436#117—181no—
437C2×C4⋊C4—91no—
438C2×C4⋊C4—181no—
439#107—91no—
440#107—91no—
441#106—91no—
442#106—91no—
443C4⋊C8—31no—
444C4⋊C8D3211yescharacteristic
445#103—31no—
446#103—31no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#102—91no—
452#102—91no—
453C22⋊C8—31no—
454C22⋊C8—31no—
455#97—31no—
456C4×C8—31no—
457C23×C3—31no—
458C22×D3—61no—
459C22×D3—61no—
460C22×D3—121no—
461C22×D3C2×D1211yescharacteristic
462C3×Q8—32no—
463C3×Q8—61no—
464C3×Q8—61no—
465C3×Q8—61no—
466C3×Q8—61no—
467C3×Q8—61no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—31no—
472C2×C3×C4—31no—
473C2×C3×C4—31no—
474C2×C3×C4—61no—
475C2×C3×C4—61no—
476C2×C3×C4—61no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4C2×D1211yescharacteristic
481C2×C3×C4C2×D1211yescharacteristic
482C2×C3×C4D3×D411yescharacteristic
483C2×C3×C4D3×D411yescharacteristic
484C2×C3×C4C23×D311yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486#67—64no—
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—121no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500C2×Dic3—241no—
501C2×Dic3C2×D1211yescharacteristic
502C2×Dic3C2×D1211yescharacteristic
503C2×Dic3C2×D1211yescharacteristic
504D12—32no—
505D12—32no—
506D12—62no—
507D12—64no—
508D12—61no—
509D12—61no—
510D12—121no—
511C4×D3—21no—
512C4×D3—21no—
513C4×D3—64no—
514C4×D3—64no—
515C4×D3—241no—
516C4×D3—241no—
517C4×D3—241no—
518C4×D3—241no—
519C4×D3—241no—
520C4×D3—242no—
521Dic6—21no—
522Dic6—21no—
523Dic6—21no—
524Dic6—21no—
525Dic6—21no—
526Dic6#23712yes—
527C3×C8—21no—
528C3×C8—21no—
529C3×C8—21no—
530C3×C8—21no—
531C3×C8—41no—
532C3×C8—41no—
533C3×C8—61no—
534C3×C8—61no—
535C3⋊C8—21no—
536C3⋊C8—21no—
537C2×C32#52511yescharacteristic
538C2×C32#57711yescharacteristic
539C2×C32#57811yescharacteristic
540C3⋊D3—42no—
541C3×D3—41no—
542#41—182no—
543#41—182no—
544C2×Q8—31no—
545C2×Q8—31no—
546C2×Q8—31no—
547C2×D4—91no—
548C2×D4—181no—
549C22×C4—31no—
550C22×C4—181no—
551C22×C4—181no—
552C22×C4—181no—
553C22×C4—181no—
554Q16—62no—
555Q16—62no—
556SD16—182no—
557SD16—182no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8C2×D3211yescharacteristic
561C2×C8C2×D3211yescharacteristic
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—91no—
569C4⋊C4—91no—
570C4⋊C4—91no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C22⋊C4—31no—
580C22⋊C4—31no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C42—31no—
586C42—61no—
587C42—181no—
588C42—181no—
589C42—181no—
590C42C2×D3211yescharacteristic
591C22×C3—21no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—61no—
595C22×C3C22×D1211yescharacteristic
596C22×C3C2×D3×D411yescharacteristic
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—21no—
600C2×D3—62no—
601C2×D3—62no—
602C2×D3—122no—
603C2×D3—121no—
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—241no—
608C2×D3—241no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—41no—
616C3×C4—41no—
617C3×C4—61no—
618C3×C4—61no—
619C3×C4—62no—
620C3×C4—61no—
621C3×C4—121no—
622C3×C4—121no—
623C3×C4—121no—
624C3×C4C2×#23711yescharacteristic
625C3×C4D3×#4111yescharacteristic
626C3×C4D3×#4111yescharacteristic
627C3×C4D3×#4111yescharacteristic
628Dic3—21no—
629Dic3—21no—
630Dic3—21no—
631Dic3—22no—
632Dic3—41no—
633Dic3—41no—
634Dic3—41no—
635Dic3—121no—
636Dic3—121no—
637Dic3—121no—
638Dic3—121no—
639Dic3—121no—
640Dic3—121no—
641Dic3—241no—
642Dic3—241no—
643Dic3—241no—
644C32#312011yescharacteristic, complemented, Sylow
645C23—31no—
646C23—181no—
647Q8—32no—
648Q8—61no—
649Q8—61no—
650Q8—61no—
651Q8—61no—
652Q8—61no—
653D4—92no—
654D4—184no—
655D4—181no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—31no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—184no—
666C2×C4—181no—
667C2×C4—181no—
668C2×C4—181no—
669C2×C4—721no—
670C2×C4—721no—
671C2×C4—721no—
672C2×C4D3×D1211yescharacteristic
673C2×C4D3×D1211yescharacteristic
674C2×C4C22×D3211yescharacteristic
675C8—21no—
676C8—21no—
677C8—61no—
678C8—61no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—121no—
683C2×C3#552411yescharacteristic
684C2×C3#560611yescharacteristic
685C2×C3#575111yescharacteristic
686C2×C3#575311yescharacteristic
687C2×C3#576611yescharacteristic
688C2×C3#577811yescharacteristic
689D3—41no—
690D3—122no—
691D3—122no—
692D3—242no—
693C22—61no—
694C22—61no—
695C22—61no—
696C22—182no—
697C22—361no—
698C22—361no—
699C22C2×D3×D1211yescharacteristic
700C4—21no—
701C4—21no—
702C4—61no—
703C4—62no—
704C4—61no—
705C4—61no—
706C4—121no—
707C4—121no—
708C4—121no—
709C4—361no—
710C4—361no—
711C4—361no—
712C4D3×#23711yescharacteristic
713C4#6431911yescharacteristic
714C3—21no—
715C3#7938511yescharacteristic, complemented
716C3#8046011yescharacteristic, complemented
717C2—121no—
718C2—362no—
719C2#1059462611yescharacteristic
720C2#1059469111yescharacteristic
721C2#1059471511yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radicalC2×#3799C22
hypercenterC4⋊C8D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
2. #10593862C2semidirect
3. #10592546C2semidirect
4. C3×#4849C2semidirect
5. C3×#4840C2semidirect
8. #10590812C2semidirect
9. Dic3×Dic12C2semidirect
10. #10590795C2semidirect
11. #10590792C2semidirect
12. #10590682C2semidirect
13. #10590675C2semidirect
14. #10590379C2semidirect
15. #10590302C2semidirect
73. #4849D3semidirect
78. #4840D3semidirect
644. C32#3120semidirect
715. C3#79385semidirect
716. C3#80460semidirect

Maximal subgroups

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

subgroupindex
#105938902
#105938622
#105925462
C3×#48492
C3×#48402
#105909662
#105908122
Dic3×Dic122
#105907952
#105907922
#105906822
#105906752
#105903792
#105903022
#804603
#793853