Finite Group Databasebeta

← #14792603

Subgroups — #14792603

Order 2816.

944 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622852C211yesmaximal, characteristic
2C2×#10622613C211yesmaximal, characteristic, complemented
3#13074413C211yesmaximal, characteristic, complemented
4#13070011C211yesmaximal, characteristic, complemented
5#13070004C211yesmaximal, characteristic, complemented
6#13069938C211yesmaximal, characteristic, complemented
7#13069933C211yesmaximal, characteristic, complemented
8#13069496C211yesmaximal, characteristic, complemented
9#13069476C211yesmaximal, characteristic, complemented
10#13069309C211yesmaximal, characteristic, complemented
11#13069302C211yesmaximal, characteristic, complemented
12#13068923C211yesmaximal, characteristic, complemented
13#13068804C211yesmaximal, characteristic, complemented
14#13068556C211yesmaximal, characteristic
15C11×#2311C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×#4326C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C11×#391C2211yescharacteristic
23C11×#391C2211yescharacteristic
24C11×#390C2211yescharacteristic
25C11×#390C2211yescharacteristic
26C11×#386—21no—
27C11×#386—21no—
28C11×#380—21no—
29C11×#380—21no—
30#10622852—24no—
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37#10622825C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40#10622613—24no—
41#10622595—21no—
42#10622593—21no—
43C2×#66874C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622565—21no—
48#10622565—21no—
49#10622542C2211yescharacteristic
50#10622542C2211yescharacteristic
51#10622541C2211yescharacteristic
52#10622541C2211yescharacteristic
53C2×C4⋊(C11⋊C8)C2211yescharacteristic
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55C2×#66867C2211yescharacteristic
56C2×C4×C11⋊C8C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C2×C11×#41—22no—
62C2×C11×#41—22no—
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—41no—
66C2×C11×#41—41no—
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C22×Dic22C2311yescharacteristic
74C11×#117—22no—
75C11×#117—22no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4—41no—
79C2×C11×C4⋊C4D411yescharacteristic
80C2×C11×C4⋊C4D411yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×#4326—22no—
94C2×#4326—22no—
95C2×#4326—41no—
96C2×#4324—22no—
97C2×#4324—22no—
98C2×#4324—41no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102#66977—22no—
103#66977—22no—
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C11×#95—21no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115#66899—22no—
116#66899—22no—
117#66899—41no—
118#66896—22no—
119#66896—22no—
120#66896—41no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C22⋊(C11⋊C8)—22no—
129C22⋊(C11⋊C8)D414yes—
130#66874—41no—
131#66874—41no—
132#66871—41no—
133#66871—41no—
134C4⋊(C11⋊C8)—22no—
135C4⋊(C11⋊C8)—22no—
136#66867—22no—
137C4×C11⋊C8—22no—
138#24515—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C11×#41—44no—
142C11×#41—44no—
143C11×#41—44no—
144C11×#41—44no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11#4112yes—
151C2×D4×C11—24no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—42no—
158C2×D4×C11—42no—
159C2×D4×C11#4112yes—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—24no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11—42no—
171C22×C4×C11—81no—
172C22×C4×C11—81no—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D412yes—
179C22×C4×C11#4112yes—
180C22×C4×C11C2411yescharacteristic
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—42no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—81no—
201C11×C22⋊C4—81no—
202C11×C22⋊C4—81no—
203C11×C22⋊C4—81no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C22⋊Dic11—42no—
209C22⋊Dic11—81no—
210#4326—44no—
211#4324—44no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218Dic11⋊C4—42no—
219Dic11⋊C4—81no—
220Dic11⋊C4—81no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8C2×D412yes—
232C2×C11⋊C8C2×D412yes—
233C2×#452—111no—
234C2×#433—111no—
235#2625—111no—
236#2311D1111yescharacteristic
237#2068—111no—
238#2067—111no—
239#2056—111no—
240#2055—111no—
241#1973—111no—
242#1969—111no—
243#1935—111no—
244#1934—111no—
245#1872—111no—
246#1852—111no—
247#1788—111no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11#12112yes—
262C23×C11C22×D411yescharacteristic
263Q8×C11—22no—
264Q8×C11—22no—
265Q8×C11—41no—
266Q8×C11—41no—
267D4×C11—22no—
268D4×C11—22no—
269D4×C11—48no—
270D4×C11—41no—
271D4×C11—41no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—48no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—84no—
301C2×C4×C11#12112yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320Dic22—41no—
321Dic22—41no—
322Dic22—41no—
323Dic22—41no—
324C11⋊C8—22no—
325C11⋊C8—22no—
326C11⋊C8—41no—
327C11⋊C8—41no—
328C22×#41C2×D1111yescharacteristic
329C22×Q16—111no—
330C22×SD16—111no—
331C2×C22⋊Q8—111no—
332C2×#117C2×D1111yescharacteristic
333C22×C4⋊C4C2×D1111yescharacteristic
334#452—224no—
335#433—224no—
336C2×#107—111no—
337C2×#107—111no—
338C2×C4⋊C8—111no—
339C2×C4⋊C8—111no—
340C2×#103—111no—
341C2×#103—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×#97—111no—
351C2×C4×C8—111no—
352#400—221no—
353#398—221no—
354#397—221no—
355#397—221no—
356#391—111no—
357#391—111no—
358#391C2×D1111yescharacteristic
359#391C2×D1111yescharacteristic
360#390C2×D1111yescharacteristic
361#390C2×D1111yescharacteristic
362#389—111no—
363#389—111no—
364#386—21no—
365#386—21no—
366#380—21no—
367#380—21no—
368#380—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11C2×#12111yescharacteristic
388C22×C11#52511yescharacteristic
389C22×C11#53511yescharacteristic
390C22×C11#57611yescharacteristic
391C22×C11#57711yescharacteristic
392C22×C11#57811yescharacteristic
393C22×C11#57811yescharacteristic
394C4×C11—22no—
395C4×C11—42no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—81no—
401C4×C11—81no—
402C4×C11#54611yescharacteristic
403C4×C11#54611yescharacteristic
404C4×C11#55111yescharacteristic
405C4×C11#55111yescharacteristic
406Dic11—81no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—41no—
415C2×#41—41no—
416C22×Q8—111no—
417C22×Q8C22×D1111yescharacteristic
418C22×D4—21no—
419C22×D4C22×D1111yescharacteristic
420C23×C4—21no—
421C23×C4—21no—
422C23×C4C22×D1111yescharacteristic
423C2×Q16—222no—
424C2×Q16—222no—
425C2×Q16—441no—
426C2×SD16—222no—
427C2×SD16—222no—
428C2×SD16—441no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8—111no—
433C22⋊Q8—222no—
434C22⋊Q8—222no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—41no—
439C2×C4⋊C4—41no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4C22⋊D1111yescharacteristic
447C2×C4⋊C4C22⋊D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4C22⋊D1111yescharacteristic
457C2×C22⋊C4C22⋊D1111yescharacteristic
458C2×C42C22×D1111yescharacteristic
459C2×C42C22×D1111yescharacteristic
460#107—441no—
461#107—441no—
462C4⋊C8—222no—
463C4⋊C8—222no—
464#103—222no—
465#103—222no—
466#103—441no—
467#103—441no—
468#103—441no—
469#102—222no—
470#102—222no—
471#102—441no—
472C22⋊C8—114no—
473C22⋊C8—222no—
474#97—222no—
475C4×C8—222no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—221no—
481#95—221no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11—42no—
488C2×C11—82no—
489C2×C11#241111yescharacteristic
490C2×C11#306111yescharacteristic
491C2×C11#306311yescharacteristic
492C2×C11#312011yescharacteristic
493C2×C11#312411yescharacteristic
494C2×C11#322311yescharacteristic
495C2×C11#322411yescharacteristic
496C24—21no—
497C24C2×C22⋊D1111yescharacteristic
498#41—44no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—221no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8#433912yes—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4#433912yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4D4×D1112yes—
541C22×C4#434112yes—
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548Q16—444no—
549SD16—444no—
550C2×C8—112no—
551C2×C8—112no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—42no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—442no—
576C4⋊C4—881no—
577C4⋊C4—881no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—81no—
581C22⋊C4—81no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C22⋊C4—442no—
585C22⋊C4—881no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C11#2451511yescharacteristic, complemented, Sylow
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23#6699212yes—
605C23C22×C22⋊D1111yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—41no—
609Q8—41no—
610Q8—441no—
611Q8—441no—
612Q8—441no—
613Q8—441no—
614D4—22no—
615D4—22no—
616D4—48no—
617D4—41no—
618D4—41no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—84no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4#6699212yes—
661C2×C4C2×#433911yescharacteristic
662C2×C4C2×#433911yescharacteristic
663C2×C4C2×D4×D1111yescharacteristic
664C2×C4C2×#434111yescharacteristic
665C2×C4#6703711yescharacteristic
666C2×C4#6703711yescharacteristic
667C8—222no—
668C8—222no—
669C8—441no—
670C8—441no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22#1062332211yescharacteristic
686C22C2×#6699211yescharacteristic
687C22#1062333611yescharacteristic
688C22#1062336611yescharacteristic
689C22#1062336711yescharacteristic
690C22#1062336911yescharacteristic
691C22#1062336911yescharacteristic
692C4—22no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—881no—
701C4—881no—
702C4—881no—
703C4—881no—
704C4#1062302111yescharacteristic
705C4#1062302111yescharacteristic
706C4#1062302611yescharacteristic
707C4#1062302611yescharacteristic
708C2—42no—
709C2—82no—
710C2#1307200111yescharacteristic
711C2#1307828311yescharacteristic
712C2#1307830911yescharacteristic
713C2#1307883011yescharacteristic
714C2#1307887811yescharacteristic
715C2#1307969911yescharacteristic
716C2#1307971011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2311C2
socleC23×C11C22×D4
prime radicalC22×C11×#41C22
hypercenter#2311D11
hypocenterC11#24515
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2311

Complements

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

NH ≅ G/Ntype
2. C2×#10622613C2semidirect
3. #13074413C2semidirect
4. #13070011C2semidirect
5. #13070004C2semidirect
6. #13069938C2semidirect
7. #13069933C2semidirect
8. #13069496C2semidirect
9. #13069476C2semidirect
10. #13069309C2semidirect
11. #13069302C2semidirect
12. #13068923C2semidirect
13. #13068804C2semidirect
590. C11#24515semidirect

Maximal subgroups

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

subgroupindex
C2×#106228522
C2×#106226132
#130744132
#130700112
#130700042
#130699382
#130699332
#130694962
#130694762
#130693092
#130693022
#130689232
#130688042
#130685562
C11×#23112
#2451511