Finite Group Databasebeta

← #10833992

Subgroups — #10833992

Order 768.

986 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4781C211yesmaximal, characteristic
2C2×#4709C211yesmaximal, characteristic, complemented
3#76294C211yesmaximal, characteristic, complemented
4#76249C211yesmaximal, characteristic, complemented
5C3×#1936C211yesmaximal, characteristic, complemented
6#70212C211yesmaximal, characteristic, complemented
7#70199C211yesmaximal, characteristic, complemented
8#70180C211yesmaximal, characteristic, complemented
9#69826C211yesmaximal, characteristic, complemented
10#69647C211yesmaximal, characteristic, complemented
11#69614C211yesmaximal, characteristic, complemented
12#68913C211yesmaximal, characteristic, complemented
13#68880C211yesmaximal, characteristic, complemented
14#68874C211yesmaximal, characteristic, complemented
15#68863C211yesmaximal, characteristic, complemented
16#24513—31nomaximal, Sylow
17C22×#237C2211yescharacteristic
18C22×#213C2211yescharacteristic
19C22×#204C2211yescharacteristic
20C2×#895C2211yescharacteristic
21C2×D3×C4⋊C4C2211yescharacteristic
22C2×#872C2211yescharacteristic
23C2×C3×#102C2211yescharacteristic
24C2×C3×#102C2211yescharacteristic
25C2×C3×#97C2211yescharacteristic
26C3×#390C2211yescharacteristic
27C3×#389C2211yescharacteristic
28#5221C2211yescharacteristic
29C2×#832C2211yescharacteristic
30C2×#821C2211yescharacteristic
31C2×(C2×D3)⋊C8C2211yescharacteristic
32C2×(C2×D3)⋊C8C2211yescharacteristic
33C2×#818C2211yescharacteristic
34C2×#816C2211yescharacteristic
35C2×Dic3⋊C8C2211yescharacteristic
36C2×Dic3⋊C8C2211yescharacteristic
37#4993—21no—
38#4991—21no—
39#4988C2211yescharacteristic
40#4987C2211yescharacteristic
41#4973C2211yescharacteristic
42#4972C2211yescharacteristic
43C2×#810C2211yescharacteristic
44C2×#810C2211yescharacteristic
45C2×#809C2211yescharacteristic
46C2×#807C2211yescharacteristic
47#4956—21no—
48#4956—21no—
49#4942—21no—
50#4942—21no—
51#4939C2211yescharacteristic
52#4929C2211yescharacteristic
53C2×C4×C3⋊C8C2211yescharacteristic
54#4781—24no—
55#4709—24no—
56#4675—21no—
57#4672—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×#449—31no—
63C2×#433—31no—
64#2624—31no—
65#2311—31no—
66#2068—31no—
67#2067—31no—
68#2055—31no—
69#2054—31no—
70#1973—31no—
71#1970—31no—
72#1936D311yescharacteristic, complemented
73#1933—31no—
74#1874—31no—
75#1852—31no—
76#1788—31no—
77C22×C3×D4C2311yescharacteristic
78C22×#67—21no—
79C23×Dic3—21no—
80C2×#237—22no—
81C2×#237—22no—
82C2×#237—22no—
83C2×#237—22no—
84C2×#237—41no—
85C2×#237—41no—
86C22×D12—21no—
87C22×D12C2311yescharacteristic
88C22×C4×D3—21no—
89C22×C4×D3C2311yescharacteristic
90C22×Dic6C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C42C2311yescharacteristic
100C2×#217—21no—
101C2×#217—21no—
102C2×#213—22no—
103C2×#213—22no—
104C2×#213—41no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4D411yescharacteristic
112C2×(C2×D3)⋊C4D411yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4D411yescharacteristic
118C2×Dic3⋊C4D411yescharacteristic
119C2×C4×Dic3C2311yescharacteristic
120C22×C3⋊C8C2311yescharacteristic
121C22×C3⋊C8C2311yescharacteristic
122C2×#204—22no—
123C2×#204—22no—
124C2×#204—41no—
125#895—22no—
126#895—22no—
127D3×C4⋊C4—41no—
128D3×C4⋊C4—41no—
129#872—22no—
130#872—22no—
131C3×#102—22no—
132C3×#102—22no—
133C3×#97—22no—
134C3×#95—21no—
135#832—41no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142#821—41no—
143(C2×D3)⋊C8—22no—
144(C2×D3)⋊C8D414yes—
145#818—41no—
146#816—41no—
147Dic3⋊C8—22no—
148Dic3⋊C8—22no—
149#810—22no—
150#810—22no—
151#809—41no—
152#807—41no—
153C4×C3⋊C8—22no—
154C22×#41—31no—
155C22×SD16—31no—
156C22×D8—31no—
157C2×#121—31no—
158C2×#117—31no—
159C22×C4⋊C4—31no—
160#449—64no—
161#433—64no—
162C2×#107—31no—
163C2×#107—31no—
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#103—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×#97C2×D311yescharacteristic
177C2×C4×C8—31no—
178#399—61no—
179#397—61no—
180#394—61no—
181#394—61no—
182#391—31no—
183#391—31no—
184#390—31no—
185#390—31no—
186#390—31no—
187#390C2×D311yescharacteristic
188#389—31no—
189#389C2×D311yescharacteristic
190#386—61no—
191#386—61no—
192#380—31no—
193#380—61no—
194#380—61no—
195#340—31no—
196#340—31no—
197#340C2×D311yescharacteristic
198#340C2×D311yescharacteristic
199C24×C3—21no—
200C23×D3—21no—
201C23×D3C2×D411yescharacteristic
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4#4112yes—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2411yescharacteristic
214C2×#67—24no—
215C2×#67—42no—
216C2×#67—42no—
217C22×Dic3—24no—
218C22×Dic3—21no—
219C22×Dic3—21no—
220C22×Dic3—21no—
221C22×Dic3—42no—
222C22×Dic3—42no—
223C22×Dic3C2×D411yescharacteristic
224C22×Dic3C2×D411yescharacteristic
225C22×Dic3C2×D411yescharacteristic
226#237—44no—
227#237—44no—
228#237—44no—
229#237—44no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—42no—
237C2×D12—81no—
238C2×D12—81no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—42no—
244C2×C4×D3—81no—
245C2×C4×D3—81no—
246C2×C4×D3C2×D412yes—
247C2×C4×D3#4112yes—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6#4112yes—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8C2×D412yes—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—81no—
267C3×C22⋊C4—81no—
268C3×C22⋊C4—81no—
269C3×C42—21no—
270C3×C42—21no—
271#217—81no—
272#217—81no—
273#213—44no—
274(C2×D3)⋊C4—22no—
275(C2×D3)⋊C4—22no—
276(C2×D3)⋊C4—42no—
277(C2×D3)⋊C4—81no—
278(C2×D3)⋊C4—81no—
279(C2×D3)⋊C4—81no—
280(C2×D3)⋊C4—81no—
281(C2×D3)⋊C4—81no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286Dic3⋊C4—22no—
287Dic3⋊C4—22no—
288Dic3⋊C4—42no—
289Dic3⋊C4—81no—
290C4×Dic3—21no—
291C4×Dic3—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8C2×D412yes—
298#204—44no—
299C2×#41—62no—
300C2×#41—62no—
301C2×#41—62no—
302C2×#41—62no—
303C2×#41—121no—
304C2×#41—121no—
305C22×Q8—31no—
306C22×D4—31no—
307C22×D4—61no—
308C22×D4—61no—
309C22×D4C22×D311yescharacteristic
310C23×C4—31no—
311C23×C4—61no—
312C23×C4—61no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—121no—
316C2×D8—62no—
317C2×D8—62no—
318C2×D8—121no—
319C22×C8—31no—
320C22×C8—31no—
321C22×C8C22×D311yescharacteristic
322C22×C8C22×D311yescharacteristic
323#121—62no—
324#121—62no—
325#117—62no—
326#117—62no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—31no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—61no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4—121no—
335C2×C4⋊C4—121no—
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C4⋊C4C22×D311yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—31no—
342C2×C22⋊C4—31no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C22⋊C4—61no—
350C2×C22⋊C4—61no—
351C2×C42—31no—
352C2×C42C22×D311yescharacteristic
353#107—121no—
354#107—121no—
355C4⋊C8—62no—
356C4⋊C8—62no—
357#103—62no—
358#103—62no—
359#103—121no—
360#102—22no—
361#102—22no—
362#102—121no—
363#102—121no—
364#102—121no—
365C22⋊C8—34no—
366C22⋊C8—62no—
367#97—22no—
368C4×C8—62no—
369#95—21no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—22no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3C22×D411yescharacteristic
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3#12112yes—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—41no—
401C3×D4—41no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4C22×D411yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4C2×#4111yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4H(5,𝔽2)11yescharacteristic
422C2×C3×C4H(5,𝔽2)11yescharacteristic
423#67—48no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—22no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—48no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3#12112yes—
443D12—41no—
444D12—41no—
445D12—41no—
446D12—41no—
447D12—84no—
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—22no—
451C4×D3—22no—
452C4×D3—84no—
453Dic6—22no—
454Dic6—22no—
455Dic6—41no—
456Dic6—41no—
457C3×C8—22no—
458C3×C8—41no—
459C3⋊C8—22no—
460C3⋊C8—41no—
461C24—21no—
462C24—31no—
463C24—61no—
464#41—124no—
465#41—124no—
466#41—124no—
467#41—124no—
468C2×Q8—32no—
469C2×Q8—61no—
470C2×Q8—61no—
471C2×Q8—61no—
472C2×Q8—61no—
473C2×Q8—61no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—64no—
480C2×D4—61no—
481C2×D4—61no—
482C2×D4—61no—
483C2×D4—61no—
484C2×D4—61no—
485C2×D4—61no—
486C2×D4—122no—
487C2×D4—122no—
488C2×D4—122no—
489C2×D4—241no—
490C2×D4—241no—
491C2×D4#23512yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—31no—
496C22×C4—32no—
497C22×C4—32no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—64no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—122no—
509C22×C4—122no—
510C22×C4—122no—
511C22×C4—241no—
512C22×C4—241no—
513C22×C4D3×D411yescharacteristic
514C22×C4D3×D411yescharacteristic
515C22×C4C23×D311yescharacteristic
516SD16—124no—
517D8—124no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—32no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8D3×D412yes—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—62no—
537C4⋊C4—62no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—61no—
541C4⋊C4—61no—
542C4⋊C4—81no—
543C4⋊C4—122no—
544C4⋊C4—241no—
545C22⋊C4—62no—
546C22⋊C4—62no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—122no—
550C22⋊C4—241no—
551C22⋊C4—241no—
552C22⋊C4—241no—
553C22⋊C4—241no—
554C22⋊C4—241no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C42—21no—
558C42—21no—
559C42—61no—
560C42—61no—
561C22×C3—42no—
562C22×C3—42no—
563C22×C3—42no—
564C22×C3—81no—
565C22×C3—81no—
566C22×C3—81no—
567C22×C3—81no—
568C22×C3C2×#12111yescharacteristic
569C22×C3#52511yescharacteristic
570C22×C3#53511yescharacteristic
571C22×C3#57611yescharacteristic
572C22×C3#57611yescharacteristic
573C22×C3#57711yescharacteristic
574C22×C3#57811yescharacteristic
575C2×D3—22no—
576C2×D3—22no—
577C2×D3—22no—
578C2×D3—41no—
579C2×D3—41no—
580C2×D3—41no—
581C2×D3—41no—
582C2×D3—81no—
583C2×D3—81no—
584C2×D3—81no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—41no—
590C3×C4—41no—
591C3×C4—81no—
592C3×C4—81no—
593C3×C4—81no—
594C3×C4#54611yescharacteristic
595C3×C4#54611yescharacteristic
596C3×C4#55111yescharacteristic
597C3×C4#55111yescharacteristic
598Dic3—22no—
599Dic3—42no—
600Dic3—41no—
601Dic3—41no—
602Dic3—81no—
603Dic3—81no—
604C23—22no—
605C23—32no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23C2×D3×D411yescharacteristic
626Q8—62no—
627Q8—62no—
628Q8—121no—
629Q8—121no—
630D4—22no—
631D4—22no—
632D4—41no—
633D4—41no—
634D4—128no—
635D4—121no—
636D4—121no—
637D4—121no—
638D4—121no—
639D4—244no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—32no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—62no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—128no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—244no—
679C2×C4C2×#23511yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4D3×#4111yescharacteristic
682C2×C4D3×#4111yescharacteristic
683C2×C4#100911yescharacteristic
684C2×C4#100911yescharacteristic
685C8—22no—
686C8—41no—
687C8—62no—
688C8—121no—
689C2×C3—82no—
690C2×C3#241111yescharacteristic
691C2×C3#306111yescharacteristic
692C2×C3#306211yescharacteristic
693C2×C3#311911yescharacteristic
694C2×C3#312411yescharacteristic
695C2×C3#322011yescharacteristic
696C2×C3#322511yescharacteristic
697D3—42no—
698D3—161no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—121no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22—241no—
718C22—241no—
719C22—241no—
720C22#554711yescharacteristic
721C22D3×#12111yescharacteristic
722C22#567411yescharacteristic
723C22#577411yescharacteristic
724C22#577411yescharacteristic
725C22#577511yescharacteristic
726C22#577911yescharacteristic
727C4—41no—
728C4—41no—
729C4—62no—
730C4—81no—
731C4—81no—
732C4—81no—
733C4—122no—
734C4—121no—
735C4—121no—
736C4—241no—
737C4—241no—
738C4#552711yescharacteristic
739C4#555011yescharacteristic
740C4#565411yescharacteristic
741C4#570511yescharacteristic
742C3#2451311yescharacteristic, complemented, Sylow
743C2—82no—
744C2—122no—
745C2—481no—
746C2#7584211yescharacteristic
747C2#7978811yescharacteristic
748C2#7987311yescharacteristic
749C2#8080811yescharacteristic
750C2#8086711yescharacteristic
751C2#8168911yescharacteristic
752C2#8171911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1936C2
socleC23×C3C22×D4
prime radicalC2×#4781C2
hypercenter#1936D3
hypocenterC3#24513
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1936

Complements

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

NH ≅ G/Ntype
2. C2×#4709C2semidirect
3. #76294C2semidirect
4. #76249C2semidirect
5. C3×#1936C2semidirect
6. #70212C2semidirect
7. #70199C2semidirect
8. #70180C2semidirect
9. #69826C2semidirect
10. #69647C2semidirect
11. #69614C2semidirect
12. #68913C2semidirect
13. #68880C2semidirect
14. #68874C2semidirect
15. #68863C2semidirect
72. #1936D3semidirect
742. C3#24513semidirect

Maximal subgroups

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

subgroupindex
C2×#47812
C2×#47092
#762942
#762492
C3×#19362
#702122
#701992
#701802
#698262
#696472
#696142
#689132
#688802
#688742
#688632
#245133