Finite Group Databasebeta

← #11870440

Subgroups — #11870440

Order 1152.

1197 conjugacy classes of subgroups.

The subgroup lattice has 713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2#10593907C211yesmaximal, characteristic, complemented
3C3×#5015C211yesmaximal, characteristic, complemented
4C3×#5007C211yesmaximal, characteristic, complemented
5#10591456C212yesmaximal, complemented
6#10591435C212yesmaximal, complemented
7#10590510C212yesmaximal, complemented
8#10590459C212yesmaximal, complemented
9#10590355C211yesmaximal, characteristic, complemented
10#10590313C211yesmaximal, characteristic, complemented
11#10590256C211yesmaximal, characteristic, complemented
12#80948—31nomaximal
13#80312—31nomaximal
14C2×D4×C3⋊D3C2211yescharacteristic
15C22×C4×C3⋊D3—21no—
16C2×#3796—21no—
17C32×C4×D4C2211yescharacteristic
18D4×C3⋊Dic3C2211yescharacteristic
19C4×#638—21no—
20#64102C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22#64090—21no—
23C22⋊C4×C3⋊D3—21no—
24C4×C4⋊(C3⋊D3)C2211yescharacteristic
25C42×C3⋊D3C2211yescharacteristic
26C2×C3×#213C2212yes—
27C3×#874C2211yescharacteristic, complemented
28C3×#869C2211yescharacteristic, complemented
29#63916—21no—
30#63916C2212yes—
31#63898—21no—
32#63898C2212yescomplemented
33#63863—21no—
34C2×#3714C2212yes—
35C3×#832C2212yes—
36C3×#809C2212yescomplemented
37C3×#807C2212yescomplemented
38C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
39C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
40#63575C2212yescomplemented
41#63564C2212yes—
42#63563C2212yescomplemented
43#63557C2212yes—
44#63553C2212yescomplemented
45#5725—31no—
46#5716—31no—
47C4×D3×D4—31no—
48C4×D3×D4—31no—
49C4×D3×D4—61no—
50C3×#474—31no—
51C3×#459—31no—
52#5156—32no—
53Dic3×D8—32no—
54#5087—31no—
55#5072—31no—
56#5015D311yescharacteristic, complemented
57#5007D311yescharacteristic, complemented
58#4882—32no—
59#4872—32no—
60#4846—31no—
61#4843—31no—
62#4833—31no—
63#4833—31no—
64#4774—32no—
65#4773—32no—
66#4756—32no—
67#4756—32no—
68C23×C3⋊D3—21no—
69C2×C32×D4C2311yescharacteristic
70C22×C32×C4—21no—
71C2×#638—21no—
72C22×C3⋊Dic3—21no—
73D4×C3⋊D3—22no—
74D4×C3⋊D3—22no—
75C2×C4⋊(C3⋊D3)C2311yescharacteristic
76C2×C4×C3⋊D3—21no—
77C2×C4×C3⋊D3—21no—
78C2×C4×C3⋊D3—21no—
79C2×C4×C3⋊D3—44no—
80C2×C4×C3⋊D3D411yescharacteristic
81C2×C4×C3⋊D3D411yescharacteristic
82C2×C4×C3⋊D3C2311yescharacteristic
83C2×C3×D12—21no—
84C2×C3×D12—21no—
85C2×C3×D12C2312yes—
86C2×C3×Dic6—21no—
87C2×#626—22no—
88C2×D3×Dic3—22no—
89#3796—44no—
90C32×C4⋊C4C2311yescharacteristic
91C32×C22⋊C4—21no—
92C32×C42C2311yescharacteristic
93#3757—21no—
94#3752—21no—
95#3752—21no—
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97#3750—21no—
98C4×C3⋊Dic3D411yescharacteristic
99C4×C3⋊Dic3D411yescharacteristic
100C4×C3⋊Dic3C2311yescharacteristic
101C3×#213—24no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3C2312yes—
104C2×C3×C3⋊C8C2312yes—
105C2×C3×C3⋊C8C2312yes—
106(C2×D3)⋊Dic3—22no—
107(C2×D3)⋊Dic3—22no—
108#3714—24no—
109#3100—91noSylow
110C2×#239—61no—
111C2×#237—61no—
112C2×D3×D4—31no—
113C2×D3×D4—31no—
114C2×D3×D4—61no—
115C22×C4×D3—61no—
116C22×C4×D3—61no—
117C22×C4×D3—62no—
118C2×C3×D8—32no—
119C3×C4⋊Q8—31no—
120C3×#127—31no—
121C3×C4×D4—21no—
122C3×C4×D4C2×D311yescharacteristic
123C3×C4×D4C2×D311yescharacteristic
124#947—61no—
125#938—32no—
126#938—61no—
127#936—61no—
128D4×Dic3—31no—
129D4×Dic3—31no—
130D4×Dic3—32no—
131D4×Dic3—61no—
132D4×Dic3—61no—
133C2×#213—32no—
134C2×#213C2×D312yes—
135C4×#67—61no—
136C4×#67—61no—
137C4×#67—62no—
138C2×D24—32no—
139#895—32no—
140#895—61no—
141#893—32no—
142#893—31no—
143#893—31no—
144#893—61no—
145#893—61no—
146D3×C4⋊C4—31no—
147D3×C4⋊C4—31no—
148D3×C4⋊C4—61no—
149#67⋊C4—61no—
150#67⋊C4—61no—
151#67⋊C4—62no—
152D3×C22⋊C4—61no—
153D3×C22⋊C4—61no—
154D3×C22⋊C4—62no—
155#874C2×D311yescharacteristic, complemented
156C4×D12—31no—
157C4×D12—31no—
158C4×D12—61no—
159C42×D3—31no—
160C42×D3—31no—
161C42×D3—61no—
162#869C2×D311yescharacteristic, complemented
163C3×#107—32no—
164C3×C4⋊C8—31no—
165C3×C4⋊C8—31no—
166C3×#102—32no—
167C3×#102—32no—
168#832—32no—
169#832C2×D312yes—
170#821—32no—
171#821—32no—
172(C2×D3)⋊C8—32no—
173(C2×D3)⋊C8—32no—
174#818—32no—
175C8×Dic3—32no—
176C8×Dic3—32no—
177#809—32no—
178#809C2×D312yescomplemented
179#807—32no—
180#807C2×D312yescomplemented
181C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
182C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
183C23×C32—21no—
184C22×C3⋊D3—24no—
185C22×C3⋊D3—21no—
186C22×C3⋊D3—42no—
187C22×C3⋊D3—42no—
188C22×C3⋊D3C2×D411yescharacteristic
189C22×C3×D3—22no—
190C32×D4—21no—
191C32×D4#4112yescomplemented
192C2×C32×C4—21no—
193C2×C32×C4—42no—
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2411yescharacteristic
197#638—24no—
198C2×C3⋊Dic3—21no—
199C2×C3⋊Dic3—42no—
200C2×C3⋊Dic3C2×D411yescharacteristic
201C2×C3⋊Dic3C2×D411yescharacteristic
202C2×C3⋊Dic3C2×D411yescharacteristic
203C4⋊(C3⋊D3)—21no—
204C4⋊(C3⋊D3)#4112yescomplemented
205C4×C3⋊D3—21no—
206C4×C3⋊D3—21no—
207C4×C3⋊D3—41no—
208C4×C3⋊D3—42no—
209C4×C3⋊D3—42no—
210C4×C3⋊D3—42no—
211C4×C3⋊D3D814yescomplemented
212C2×C3×Dic3—22no—
213C3×D12—22no—
214C3×D12—22no—
215C3×D12—42no—
216C3×D12—42no—
217C3×Dic6—42no—
218#626—44no—
219D3×Dic3—44no—
220C3×C3⋊C8—22no—
221C3×C3⋊C8—22no—
222#532—91no—
223C2×C4×D4—91no—
224#480—92no—
225#474—31no—
226#474—91no—
227#459—31no—
228#459—91no—
229#447—92no—
230C4×D8—92no—
231C4×D8—92no—
232#431—91no—
233C23×D3—61no—
234C23×D3—61no—
235C23×D3—62no—
236C2×C3×Q8—61no—
237C2×C3×D4—21no—
238C2×C3×D4—32no—
239C2×C3×D4—61no—
240C2×C3×D4—61no—
241C2×C3×D4C22×D311yescharacteristic
242C2×C3×D4C22×D311yescharacteristic
243C22×C3×C4—22no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C2×#67—62no—
247C2×#67—61no—
248C2×#67—61no—
249C2×#67—62no—
250C22×Dic3—62no—
251C22×Dic3—61no—
252C22×Dic3—61no—
253C22×Dic3—62no—
254#239—124no—
255#237—124no—
256D3×D4—62no—
257D3×D4—62no—
258D3×D4—64no—
259D3×D4—64no—
260D3×D4—62no—
261D3×D4—62no—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12—31no—
265C2×D12—31no—
266C2×D12—61no—
267C2×D12—62no—
268C2×D12C22×D312yes—
269C2×C4×D3—31no—
270C2×C4×D3—31no—
271C2×C4×D3—31no—
272C2×C4×D3—31no—
273C2×C4×D3—31no—
274C2×C4×D3—31no—
275C2×C4×D3—61no—
276C2×C4×D3—61no—
277C2×C4×D3—61no—
278C2×C4×D3—61no—
279C2×C4×D3—61no—
280C2×C4×D3—62no—
281C2×C4×D3—61no—
282C2×C4×D3—61no—
283C2×C4×D3—62no—
284C2×C4×D3—62no—
285C2×C4×D3—62no—
286C2×C4×D3—61no—
287C2×C4×D3—61no—
288C2×C4×D3—124no—
289C2×C4×D3—124no—
290C2×C4×D3—128no—
291C2×Dic6—21no—
292C3×D8—64no—
293C2×C3×C8—32no—
294C2×C3×C8—32no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—32no—
297C3×C4⋊C4—61no—
298C3×C4⋊C4C22×D311yescharacteristic
299C3×C4⋊C4C22×D311yescharacteristic
300C3×C22⋊C4—22no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—21no—
303C3×C42—21no—
304C3×C42C22×D311yescharacteristic
305C3×C42C22×D311yescharacteristic
306#217—62no—
307#217—62no—
308#217—61no—
309#217—61no—
310#217—62no—
311#213—24no—
312#213—64no—
313(C2×D3)⋊C4—61no—
314(C2×D3)⋊C4—61no—
315(C2×D3)⋊C4—62no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—62no—
319(C2×D3)⋊C4—61no—
320(C2×D3)⋊C4—61no—
321C4⋊Dic3—21no—
322C4⋊Dic3—31no—
323C4⋊Dic3—31no—
324C4⋊Dic3—61no—
325C4⋊Dic3C22×D312yes—
326Dic3⋊C4—61no—
327Dic3⋊C4—61no—
328Dic3⋊C4—62no—
329C4×Dic3—31no—
330C4×Dic3—31no—
331C4×Dic3—31no—
332C4×Dic3—31no—
333C4×Dic3—31no—
334C4×Dic3—31no—
335C4×Dic3—61no—
336C4×Dic3—61no—
337C4×Dic3—61no—
338C2×C3⋊C8C22×D312yes—
339C2×C3⋊C8C22×D312yes—
340D24—64no—
341C22×C32—22no—
342C22×C32—41no—
343C22×C32—41no—
344C22×C32C22×D411yescharacteristic
345C2×C3⋊D3—21no—
346C2×C3⋊D3—21no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3—48no—
349C2×C3⋊D3—41no—
350C2×C3⋊D3—41no—
351C2×C3⋊D3C2×D812yes—
352C2×C3×D3—42no—
353C2×C3×D3—42no—
354C2×C3×D3—42no—
355C32×C4—21no—
356C32×C4—41no—
357C32×C4C2×D812yes—
358C32×C4C2×#4111yescharacteristic
359C32×C4C2×#4111yescharacteristic
360C3⋊Dic3—21no—
361C3⋊Dic3—21no—
362C3⋊Dic3—41no—
363C3⋊Dic3C2×D812yes—
364C3×Dic3—42no—
365C2×#41—181no—
366C22×D4—91no—
367C23×C4—181no—
368C2×D8—32no—
369C2×D8—92no—
370C4⋊Q8—31no—
371#127—31no—
372#124—181no—
373#121—92no—
374#121—181no—
375C4×D4—92no—
376C4×D4—91no—
377C4×D4—91no—
378C4×D4—91no—
379C4×D4—181no—
380C4×D4—181no—
381C4×D4—181no—
382C4×D4D3211yescharacteristic
383C2×C4⋊C4—91no—
384C2×C22⋊C4—181no—
385C2×C42—91no—
386#107—32no—
387#107—92no—
388C4⋊C8—31no—
389C4⋊C8—31no—
390#102—32no—
391#102—32no—
392#102—92no—
393#102—92no—
394C22⋊C8—92no—
395C4×C8—92no—
396C23×C3—22no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—62no—
400C22×D3—22no—
401C22×D3—31no—
402C22×D3—31no—
403C22×D3—61no—
404C22×D3—62no—
405C22×D3—68no—
406C22×D3—64no—
407C22×D3—64no—
408C22×D3—61no—
409C22×D3—61no—
410C22×D3—122no—
411C22×D3—122no—
412C22×D3—124no—
413C22×D3—124no—
414C22×D3—122no—
415C22×D3—122no—
416C3×Q8—122no—
417C3×D4—22no—
418C3×D4—21no—
419C3×D4—21no—
420C3×D4—22no—
421C3×D4—62no—
422C3×D4—62no—
423C3×D4—122no—
424C3×D4—122no—
425C3×D4#23712yescomplemented
426C3×D4#23912yescomplemented
427C2×C3×C4—22no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—44no—
434C2×C3×C4—42no—
435C2×C3×C4—42no—
436C2×C3×C4—62no—
437C2×C3×C4D3×D411yescharacteristic
438C2×C3×C4D3×D411yescharacteristic
439C2×C3×C4D3×D411yescharacteristic
440C2×C3×C4D3×D411yescharacteristic
441C2×C3×C4C23×D311yescharacteristic
442C2×C3×C4C23×D311yescharacteristic
443#67—68no—
444#67—64no—
445#67—64no—
446#67—124no—
447C2×Dic3—22no—
448C2×Dic3—31no—
449C2×Dic3—31no—
450C2×Dic3—31no—
451C2×Dic3—31no—
452C2×Dic3—31no—
453C2×Dic3—31no—
454C2×Dic3—61no—
455C2×Dic3—61no—
456C2×Dic3—61no—
457C2×Dic3—62no—
458C2×Dic3—61no—
459C2×Dic3—61no—
460C2×Dic3—124no—
461C2×Dic3—122no—
462C2×Dic3—122no—
463C2×Dic3—124no—
464D12—22no—
465D12—22no—
466D12—32no—
467D12—32no—
468D12—42no—
469D12—42no—
470D12—62no—
471D12—62no—
472D12—61no—
473D12—61no—
474D12—124no—
475C4×D3—34no—
476C4×D3—34no—
477C4×D3—64no—
478C4×D3—62no—
479C4×D3—62no—
480C4×D3—61no—
481C4×D3—61no—
482C4×D3—61no—
483C4×D3—61no—
484C4×D3—122no—
485C4×D3—122no—
486C4×D3—124no—
487C4×D3—121no—
488C4×D3—121no—
489C4×D3—124no—
490C4×D3—124no—
491C4×D3—122no—
492C4×D3—122no—
493C4×D3—122no—
494C4×D3—124no—
495C4×D3—122no—
496C4×D3—122no—
497Dic6—42no—
498C3×C8—62no—
499C3×C8—62no—
500C3⋊C8—22no—
501C3⋊C8—22no—
502C2×C32—42no—
503C2×C32#52511yescharacteristic
504C2×C32C22×D811yescharacteristic
505C2×C32#57511yescharacteristic
506C3⋊D3—22no—
507C3⋊D3—42no—
508C3×D3—82no—
509C24—181no—
510#41—364no—
511C2×Q8—61no—
512C2×D4—32no—
513C2×D4—61no—
514C2×D4—61no—
515C2×D4—91no—
516C2×D4—182no—
517C2×D4—181no—
518C2×D4—182no—
519C2×D4—182no—
520C2×D4C2×D3211yescharacteristic
521C22×C4—21no—
522C22×C4—91no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—181no—
526C22×C4—181no—
527C22×C4—182no—
528C22×C4—181no—
529C22×C4—181no—
530C22×C4—364no—
531D8—64no—
532D8—184no—
533C2×C8—32no—
534C2×C8—32no—
535C4⋊C4—32no—
536C4⋊C4—61no—
537C4⋊C4—91no—
538C4⋊C4—181no—
539C4⋊C4C2×D3211yescharacteristic
540C22⋊C4—21no—
541C22⋊C4—181no—
542C22⋊C4—182no—
543C22⋊C4—182no—
544C22⋊C4—181no—
545C22⋊C4—181no—
546C42—91no—
547C42—91no—
548C42—91no—
549C42C2×D3211yescharacteristic
550C22×C3—24no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—41no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—41no—
560C22×C3—122no—
561C22×C3—122no—
562C22×C3—122no—
563C22×C3C2×D3×D411yescharacteristic
564C22×C3C2×D3×D411yescharacteristic
565C2×D3—32no—
566C2×D3—32no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—42no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—61no—
574C2×D3—61no—
575C2×D3—61no—
576C2×D3—61no—
577C2×D3—64no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—1216no—
581C2×D3—128no—
582C2×D3—128no—
583C2×D3—122no—
584C2×D3—122no—
585C2×D3—121no—
586C2×D3—121no—
587C2×D3—121no—
588C2×D3—121no—
589C3×C4—21no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—22no—
594C3×C4—41no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—122no—
599C3×C4D3×D812yes—
600C3×C4D3×D812yes—
601C3×C4C2×#23711yescharacteristic
602C3×C4C2×#23911yescharacteristic
603C3×C4D3×#4111yescharacteristic
604C3×C4D3×#4111yescharacteristic
605Dic3—32no—
606Dic3—32no—
607Dic3—42no—
608Dic3—62no—
609Dic3—62no—
610Dic3—61no—
611Dic3—61no—
612Dic3—61no—
613Dic3—61no—
614Dic3—121no—
615Dic3—122no—
616Dic3—121no—
617Dic3—121no—
618C32#310011yescharacteristic, complemented, Sylow
619C23—21no—
620C23—62no—
621C23—91no—
622C23—184no—
623C23—181no—
624C23—362no—
625C23—362no—
626Q8—122no—
627D4—21no—
628D4—62no—
629D4—62no—
630D4—92no—
631D4—122no—
632D4—122no—
633D4—184no—
634D4—181no—
635D4—364no—
636D4#379612yescomplemented
637C2×C4—21no—
638C2×C4—42no—
639C2×C4—62no—
640C2×C4—91no—
641C2×C4—94no—
642C2×C4—91no—
643C2×C4—91no—
644C2×C4—181no—
645C2×C4—181no—
646C2×C4—181no—
647C2×C4—361no—
648C2×C4—362no—
649C2×C4—362no—
650C2×C4—364no—
651C2×C4—362no—
652C2×C4—362no—
653C2×C4#381111yescharacteristic
654C2×C4#381111yescharacteristic
655C2×C4C22×D3211yescharacteristic
656C8—62no—
657C8—62no—
658C2×C3—21no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—44no—
662C2×C3—42no—
663C2×C3—42no—
664C2×C3—242no—
665C2×C3#560611yescharacteristic
666C2×C3#562711yescharacteristic
667C2×C3C2×D3×D811yescharacteristic
668C2×C3C2×D3×D811yescharacteristic
669C2×C3#577311yescharacteristic
670C2×C3#577711yescharacteristic
671D3—64no—
672D3—62no—
673D3—62no—
674D3—82no—
675D3—124no—
676D3—122no—
677D3—122no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—92no—
682C22—122no—
683C22—122no—
684C22—122no—
685C22—181no—
686C22—181no—
687C22—182no—
688C22—368no—
689C22—361no—
690C22—361no—
691C22C2×#381111yescharacteristic
692C4—21no—
693C4—41no—
694C4—92no—
695C4—122no—
696C4—181no—
697C4—181no—
698C4—361no—
699C4#6392612yes—
700C4C2×#379611yescharacteristic
701C4#6430611yescharacteristic
702C3—21no—
703C3#8031211yescharacteristic, complemented
704C3#8094811yescharacteristic, complemented
705C2—42no—
706C2—182no—
707C2—242no—
708C2—362no—
709C2#1059492211yescharacteristic
710C2C2×#6392611yescharacteristic
711C2#1059547111yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32#3100
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C4×D4×C3⋊D3C2semidirect
2. #10593907C2semidirect
3. C3×#5015C2semidirect
4. C3×#5007C2semidirect
5. #10591456C2semidirect
6. #10591435C2semidirect
7. #10590510C2semidirect
8. #10590459C2semidirect
9. #10590355C2semidirect
10. #10590313C2semidirect
11. #10590256C2semidirect
27. C3×#874C22semidirect
28. C3×#869C22semidirect
32. #63898C22semidirect
36. C3×#809C22semidirect
37. C3×#807C22semidirect
38. C3×C4⋊(C3⋊C8)C22semidirect
39. C3×C4⋊(C3⋊C8)C22semidirect
40. #63575C22semidirect
42. #63563C22semidirect
44. #63553C22semidirect
56. #5015D3semidirect
57. #5007D3semidirect
155. #874C2×D3semidirect
162. #869C2×D3semidirect
178. #809C2×D3semidirect
180. #807C2×D3semidirect
181. C4⋊(C3⋊C8)C2×D3semidirect
182. C4⋊(C3⋊C8)C2×D3semidirect
191. C32×D4#41semidirect
204. C4⋊(C3⋊D3)#41semidirect
211. C4×C3⋊D3D8semidirect
425. C3×D4#237semidirect
426. C3×D4#239semidirect
618. C32#3100semidirect
636. D4#3796semidirect
703. C3#80312semidirect
704. C3#80948semidirect

Maximal subgroups

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

subgroupindex
C4×D4×C3⋊D32
#105939072
C3×#50152
C3×#50072
#105914562
#105914352
#105905102
#105904592
#105903552
#105903132
#105902562
#809483
#803123