Finite Group Databasebeta

← #15618025

Subgroups — #15618025

Order 2816.

2734 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623367C211yesmaximal, characteristic
2#13081827C211yesmaximal, characteristic, complemented
3H(5,𝔽2)×Dic11C211yesmaximal, characteristic, complemented
4#13077487C213yesmaximal, complemented
5#13077478C213yesmaximal, complemented
6#13077462C213yesmaximal, complemented
7#13077442C213yesmaximal, complemented
8#13077440C213yesmaximal, complemented
9#13077420C213yesmaximal, complemented
10#13077412C213yesmaximal, complemented
11C2×#10622370C213yesmaximal, complemented
12#13077214C211yesmaximal, characteristic, complemented
13#13077150C211yesmaximal, characteristic, complemented
14#13077042C211yesmaximal, characteristic, complemented
15C11×#2897C211yesmaximal, characteristic, complemented
16C2×C11×H(5,𝔽2)C2211yescharacteristic
17C2×#67043C2211yescharacteristic
18C2×C11×#131C2211yescharacteristic
19C11×#520C2211yescharacteristic
20#10623367C4116yescomplemented
21#10623358—21no—
22#10623358C2213yes—
23#10623358C2211yescharacteristic
24#41×Dic11—21no—
25#41×Dic11C2213yes—
26#41×Dic11C2211yescharacteristic
27C2×#67004C2213yes—
28C2×#67003C2213yes—
29C2×#67001C2211yescharacteristic
30#10623329—23no—
31#10623329C2213yes—
32C2×D4×Dic11—23no—
33C2×D4×Dic11C2213yes—
34C22×#4324C2213yes—
35C2×#66985C2213yes—
36#10623103—21no—
37C4×Q8×D11—21no—
38#10623077—23no—
39C4×#4341—23no—
40#10623053C2213yescomplemented
41#10623047C2213yescomplemented
42#10623035C2213yescomplemented
43C2×#66940C2213yescomplemented
44C11×#418C2213yes—
45C11×#417C2213yes—
46C11×#416C2213yes—
47C2×C11×#102C2213yes—
48#10622746C2213yescomplemented
49#10622735C2213yescomplemented
50#10622733C2213yescomplemented
51M16×Dic11C2213yescomplemented
52#10622726C2213yescomplemented
53C2×#66880C2213yescomplemented
54#10622714C2213yescomplemented
55C2×#66879C2213yescomplemented
56#10622611C2213yescomplemented
57#10622608C2213yescomplemented
58#10622577C2213yescomplemented
59C2×#66871C2213yescomplemented
60#10622430C2211yescharacteristic, complemented
61#10622430C2213yescomplemented
62#10622403C2216yescomplemented
63#10622402C2213yescomplemented
64#10622402C2213yescomplemented
65#10622398C2213yescomplemented
66#10622398C2213yescomplemented
67#10622371C2216yescomplemented
68#10622371C2216yescomplemented
69#10622370C2213yescomplemented
70#10622370C2216yescomplemented
71#10622370C2216yescomplemented
72#10622370C2216yescomplemented
73#10622370C2213yescomplemented
74#10622369C2216yescomplemented
75C11×H(5,𝔽2)—24no—
76C11×H(5,𝔽2)C2×C418yescomplemented
77C2×C11×#41—21no—
78C2×C11×#41C2313yes—
79C2×C11×#41C2311yescharacteristic
80C22×D4×C11—23no—
81C22×D4×C11C2313yes—
82C23×Dic11—23no—
83#67043—24no—
84#67043C2×C418yescomplemented
85C2×Q8×D11—21no—
86C2×#4341—23no—
87C2×#4339C2313yes—
88C22×Dic22C2313yes—
89C11×#131—24no—
90C2×C11×M16C2313yes—
91C22×C8×C11C2313yes—
92C4×Q8×C11—21no—
93C4×D4×C11—23no—
94C11×#117C2313yes—
95C2×C11×C4⋊C4C2313yes—
96C2×C22⋊Dic11—23no—
97C2×C22⋊Dic11—26no—
98#67004C2×C4124yescomplemented
99#67003C2×C4124yescomplemented
100#67001C2×C418yescomplemented
101Q8×Dic11—21no—
102Q8×Dic11D411yescharacteristic
103Q8×Dic11D411yescharacteristic
104Q8×Dic11C2311yescharacteristic
105Q8×Dic11C2313yes—
106C2×#4326C2313yes—
107C2×#4325C2311yescharacteristic
108D4×Dic11—23no—
109D4×Dic11—23no—
110D4×Dic11—23no—
111D4×Dic11—26no—
112D4×Dic11—23no—
113D4×Dic11—23no—
114D4×Dic11—23no—
115D4×Dic11—23no—
116D4×Dic11D413yes—
117D4×Dic11D413yes—
118D4×Dic11C2313yes—
119D4×Dic11C2316yes—
120D4×Dic11C2313yes—
121C2×#4324C2×C4124yescomplemented
122C2×#4324C2316yes—
123C2×#4324C2313yes—
124#66985C2×C4124yescomplemented
125C2×#4323C2313yes—
126C4×C22⋊D11—26no—
127#66979—23no—
128#66979—23no—
129#66979C2313yes—
130#66979C2313yes—
131C2×C4⋊Dic11—23no—
132C2×C4⋊Dic11C2313yes—
133C2×Dic11⋊C4—23no—
134C2×C4×Dic11—23no—
135C2×C4×Dic11—23no—
136C2×C4×Dic11C2313yes—
137C2×#4318C2313yes—
138C22×C11⋊C8C2313yes—
139#66946C2313yes—
140#66946C2311yescharacteristic
141#66945—23no—
142C4⋊C4×D11—23no—
143#66940—23no—
144#66940—23no—
145#66940C2313yes—
146#66940C2316yes—
147#66940C2313yes—
148(C22⋊D11)⋊C4—23no—
149(C22⋊D11)⋊C4—23no—
150#66930—26no—
151#66925—23no—
152C42×D11—23no—
153C4×Dic22—23no—
154C4×Dic22—23no—
155C11×#103C2311yescharacteristic
156C11×#103C2313yes—
157C11×#102C2316yes—
158C11×#102C2313yes—
159C11×#102C2313yes—
160#66885C2311yescharacteristic
161#66885C2313yes—
162#66880C2313yes—
163#66880C2313yes—
164#66880C2316yes—
165#66879C2313yes—
166#66879C2313yes—
167#66879C2311yescharacteristic
168#66879C2313yes—
169C8×Dic11C2316yes—
170#66872C2313yes—
171#66872C2313yes—
172#66871C2313yes—
173#66871C2316yes—
174#66871C2311yescharacteristic
175#60174—111nomaximal, Sylow
176C24×C11—23no—
177C11×#41—28no—
178C11×#41—26no—
179C11×#41C22×C4112yes—
180C11×#41C22×C414yes—
181C11×#41#4114yes—
182C2×Q8×C11C2×D411yescharacteristic
183C2×Q8×C11C2411yescharacteristic
184C2×D4×C11—23no—
185C2×D4×C11—224no—
186C2×D4×C11—23no—
187C2×D4×C11—26no—
188C2×D4×C11C22×C4112yes—
189C2×D4×C11C2×D413yes—
190C2×D4×C11C2413yes—
191C22×C4×C11—23no—
192C22×C4×C11—23no—
193C22×C4×C11C2413yes—
194C2×C22⋊D11—23no—
195C22×Dic11—23no—
196C22×Dic11—23no—
197C22×Dic11—26no—
198C22×Dic11—23no—
199C22×Dic11—23no—
200C22×Dic11—86no—
201C22×Dic11C2×D413yes—
202C22×Dic11C2×D413yes—
203Q8×D11—28no—
204#4341—224no—
205#4339—26no—
206#4339C22×C4112yescomplemented
207C2×D44C2411yescharacteristic
208C2×C4×D11—21no—
209C2×C4×D11—23no—
210C2×C4×D11—23no—
211C2×Dic22—23no—
212C2×Dic22—26no—
213C2×Dic22C22×C4112yescomplemented
214C2×Dic22C2413yes—
215C11×M16—26no—
216C2×C8×C11—26no—
217C2×C8×C11C2413yes—
218C2×C8×C11C2411yescharacteristic
219C11×C4⋊C4—23no—
220C11×C4⋊C4C2413yes—
221C11×C4⋊C4C2411yescharacteristic
222C11×C22⋊C4—23no—
223C42×C11—23no—
224C22⋊Dic11—23no—
225C22⋊Dic11—23no—
226C22⋊Dic11—26no—
227C22⋊Dic11—23no—
228C22⋊Dic11C2×D416yes—
229#4326C22×C4112yescomplemented
230#4325C22×C414yescomplemented
231#4324C22×C4124yescomplemented
232#4324C22×C4112yescomplemented
233#4323C22×C4112yescomplemented
234(C2×D11)⋊C4—21no—
235(C2×D11)⋊C4—23no—
236C4⋊Dic11—23no—
237C4⋊Dic11—21no—
238C4⋊Dic11—23no—
239C4⋊Dic11C2×D413yes—
240C4⋊Dic11C2×D413yes—
241C4⋊Dic11C2413yes—
242C4⋊Dic11C2411yescharacteristic
243Dic11⋊C4—23no—
244Dic11⋊C4—26no—
245Dic11⋊C4—23no—
246C4×Dic11—23no—
247C4×Dic11—26no—
248C4×Dic11—23no—
249C4×Dic11—21no—
250C4×Dic11—23no—
251C4×Dic11—23no—
252C4×Dic11C2×D413yes—
253C4×Dic11C2×D413yes—
254C4×Dic11C2413yes—
255C4×Dic11C2411yescharacteristic
256#4318C22×C4112yescomplemented
257C2×C11⋊C8C22×C4112yescomplemented
258C2×C11⋊C8C2411yescharacteristic
259C2×C11⋊C8C2413yes—
260C2×#577—111no—
261C4×2−1+4—111no—
262C4×H(5,𝔽2)—111no—
263#2951—113no—
264#2949—113no—
265#2947—113no—
266#2946—113no—
267C4×#137—113no—
268C4×AGL(1,ℤ/8)—113no—
269#2943—113no—
270C2×#440—113no—
271#2913—111no—
272#2898—111no—
273#2897D1111yescharacteristic, complemented
274#2875—111no—
275C23×C11—23no—
276C23×C11—212no—
277C23×C11—83no—
278C23×C11—83no—
279C23×C11C22×D413yes—
280C22×D11—21no—
281Q8×C11—21no—
282Q8×C11C4×D414yes—
283Q8×C11C23×C412yes—
284D4×C11—212no—
285D4×C11—212no—
286D4×C11—23no—
287D4×C11C4×D4112yes—
288D4×C11C23×C416yes—
289C2×C4×C11—21no—
290C2×C4×C11—212no—
291C2×C4×C11—21no—
292C2×C4×C11—23no—
293C2×C4×C11—83no—
294C2×C4×C11C23×C416yes—
295C2×C4×C11C22×D413yes—
296C2×C4×C11C2×#4116yes—
297C2×C4×C11C2511yescharacteristic
298C22⋊D11—212no—
299C2×Dic11—212no—
300C2×Dic11—23no—
301C2×Dic11—21no—
302C2×Dic11—23no—
303C2×Dic11—43no—
304C2×Dic11—43no—
305C2×Dic11—46no—
306C2×Dic11—83no—
307C2×Dic11—86no—
308C2×Dic11—83no—
309C2×Dic11C22×D411yescharacteristic
310C2×Dic11C22×D413yes—
311C2×Dic11C22×D411yescharacteristic
312C2×Dic11C22×D413yes—
313D44—21no—
314D44C23×C412yes—
315C4×D11—212no—
316C4×D11—42no—
317C4×D11—83no—
318Dic22—212no—
319Dic22—23no—
320Dic22C23×C416yes—
321C8×C11—21no—
322C8×C11—23no—
323C11⋊C8C23×C412yes—
324C11⋊C8C23×C416yes—
325C2×2−1+4—111no—
326C2×H(5,𝔽2)C2×D1111yescharacteristic
327#577—1116no—
328C2×#137—113no—
329C2×AGL(1,ℤ/8)—113no—
330C2×#135—113no—
331C22×SD16—113no—
332C2×#131—111no—
333C2×#131C2×D1111yescharacteristic
334#520—111no—
335#520—113no—
336#520—113no—
337#520—223no—
338#520—221no—
339#520C2×D1111yescharacteristic
340#519—113no—
341#519—221no—
342#518—113no—
343#518—223no—
344C4×#41—111no—
345C4×#41—113no—
346C4×#41—113no—
347C4×#41—223no—
348C4×#41—221no—
349C2×C4×Q8—113no—
350C2×C4×Q8—221no—
351C2×C4×D4—113no—
352C2×C4×D4—223no—
353#442—113no—
354#442—113no—
355#441—113no—
356#441—113no—
357#440—111no—
358#440—113no—
359#440—113no—
360#440—116no—
361#440—116no—
362#440—116no—
363#440—113no—
364C4×Q16—116no—
365C4×SD16—116no—
366C4×SD16—116no—
367C4×D8—116no—
368#428—113no—
369#428—113no—
370#427—113no—
371C2×#107—113no—
372#419—113no—
373#418C2×D1113yes—
374#417—113no—
375#417C2×D1113yes—
376#416—113no—
377#416C2×D1113yes—
378C2×#103—113no—
379C2×#102C2×D1113yes—
380#405—113no—
381#405—113no—
382C4×M16—113no—
383C2×#97—113no—
384C22×C11—23no—
385C22×C11—23no—
386C22×C11—26no—
387C22×C11—43no—
388C22×C11—43no—
389C22×C11—812no—
390C22×C11C2×C4×D416yes—
391C22×C11C23×D411yescharacteristic
392C2×D11—22no—
393C2×D11—41no—
394C2×D11—41no—
395C4×C11—22no—
396C4×C11—43no—
397C4×C11—41no—
398C4×C11C2×C4×D416yes—
399C4×C11C24×C411yescharacteristic
400C4×C11C22×#4111yescharacteristic
401Dic11—23no—
402Dic11—21no—
403Dic11—21no—
404Dic11—23no—
405Dic11—26no—
406Dic11—43no—
407Dic11—41no—
4082−1+4—118no—
4092−1+4—224no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)C4×D1118yescomplemented
412C2×#41—21no—
413C2×#41—113no—
414C2×#41—223no—
415C2×#41C22×D1113yes—
416C2×#41C22×D1111yescharacteristic
417C22×Q8—113no—
418C22×Q8—221no—
419C22×D4—23no—
420C22×D4C22×D1113yes—
421C23×C4—223no—
422#137—1124no—
423AGL(1,ℤ/8)—1124no—
424#135—1124no—
425C2×Q16—113no—
426C2×SD16—111no—
427C2×SD16—1124no—
428C2×SD16—113no—
429C2×SD16—116no—
430C2×D8—113no—
431#131—24no—
432#131—118no—
433C2×M16—113no—
434C2×M16C22×D1113yes—
435C22×C8—113no—
436C22×C8C22×D1113yes—
437C4×Q8—21no—
438C4×Q8—111no—
439C4×Q8—111no—
440C4×Q8—111no—
441C4×Q8—113no—
442C4×Q8—113no—
443C4×Q8—116no—
444C4×Q8—113no—
445C4×Q8—223no—
446C4×Q8—223no—
447C4×Q8—223no—
448C4×Q8—223no—
449C4×Q8—221no—
450C4×D4—23no—
451C4×D4—113no—
452C4×D4—113no—
453C4×D4—113no—
454C4×D4—116no—
455C4×D4—113no—
456C4×D4—111no—
457C4×D4—113no—
458C4×D4—223no—
459C4×D4—223no—
460C4×D4—223no—
461C4×D4—223no—
462C4×D4—226no—
463C4×D4—226no—
464C4×D4—223no—
465C4×D4—223no—
466C4×D4—223no—
467C4×D4—223no—
468C4×D4—223no—
469#117—113no—
470#117—113no—
471#117—223no—
472#117—223no—
473#117—226no—
474#117—223no—
475#117—223no—
476#117C22×D1113yes—
477C2×C4⋊C4—113no—
478C2×C4⋊C4—223no—
479C2×C4⋊C4—223no—
480C2×C4⋊C4—223no—
481C2×C4⋊C4C22×D1113yes—
482C2×C22⋊C4—226no—
483C2×C22⋊C4—223no—
484C2×C42—113no—
485C2×C42—223no—
486C2×C42—223no—
487C2×C42—223no—
488#107—113no—
489#107—116no—
490#107—111no—
491#106—113no—
492#106—113no—
493#103—113no—
494#103—116no—
495#103—113no—
496#103C22×D1111yescharacteristic
497#103C22×D1113yes—
498#102—111no—
499#102—113no—
500#102C22×D1113yes—
501#102C22×D1116yes—
502#102C22×D1113yes—
503#97—111no—
504#97—113no—
505#97—113no—
506#97—113no—
507C4×C8—116no—
508C2×C11—26no—
509C2×C11—46no—
510C2×C11C22×C4×D411yescharacteristic
511C2×C11#358511yescharacteristic
512C2×C11#358611yescharacteristic
513D11—42no—
514C24—23no—
515#41—28no—
516#41—26no—
517#41—1112no—
518#41—2224no—
519#41—226no—
520#41C2×C4×D11112yes—
521#41C2×C4×D1114yes—
522#41#434114yes—
523C2×Q8—1112no—
524C2×Q8—113no—
525C2×Q8—228no—
526C2×Q8—223no—
527C2×Q8—226no—
528C2×Q8D4×D1111yescharacteristic
529C2×Q8C23×D1111yescharacteristic
530C2×D4—23no—
531C2×D4—224no—
532C2×D4—23no—
533C2×D4—26no—
534C2×D4—111no—
535C2×D4—223no—
536C2×D4C2×C4×D11112yes—
537C2×D4D4×D1113yes—
538C2×D4C23×D1113yes—
539C22×C4—23no—
540C22×C4—23no—
541C22×C4—113no—
542C22×C4—113no—
543C22×C4—221no—
544C22×C4—223no—
545C22×C4—223no—
546C22×C4—223no—
547C22×C4—226no—
548C22×C4—223no—
549C22×C4—223no—
550C22×C4—223no—
551C22×C4—886no—
552C22×C4C23×D1113yes—
553Q16—1112no—
554SD16—114no—
555SD16—1112no—
556SD16—1124no—
557D8—1112no—
558M16—26no—
559M16—1112no—
560C2×C8—26no—
561C2×C8—1112no—
562C2×C8—113no—
563C2×C8—111no—
564C2×C8C23×D1113yes—
565C2×C8C23×D1111yescharacteristic
566C4⋊C4—23no—
567C4⋊C4—113no—
568C4⋊C4—113no—
569C4⋊C4—111no—
570C4⋊C4—113no—
571C4⋊C4—223no—
572C4⋊C4—223no—
573C4⋊C4—226no—
574C4⋊C4—221no—
575C4⋊C4—223no—
576C4⋊C4—223no—
577C4⋊C4C23×D1111yescharacteristic
578C4⋊C4C23×D1113yes—
579C22⋊C4—23no—
580C22⋊C4—116no—
581C22⋊C4—221no—
582C22⋊C4—223no—
583C22⋊C4—223no—
584C22⋊C4—226no—
585C22⋊C4—223no—
586C22⋊C4—223no—
587C42—23no—
588C42—113no—
589C42—113no—
590C42—113no—
591C42—111no—
592C42—221no—
593C42—223no—
594C42—223no—
595C42—223no—
596C42—226no—
597C42—223no—
598C11#6017411yescharacteristic, complemented, Sylow
599C23—23no—
600C23—212no—
601C23—83no—
602C23—83no—
603C23—221no—
604C23C2×D4×D1113yes—
605Q8—21no—
606Q8—116no—
607Q8—2212no—
608Q8—223no—
609Q8(C22⋊D11)⋊C414yes—
610Q8C22×C4×D1112yes—
611D4—212no—
612D4—212no—
613D4—23no—
614D4—112no—
615D4—2212no—
616D4—221no—
617D4(C22⋊D11)⋊C4112yes—
618D4C22×C4×D1116yes—
619C2×C4—21no—
620C2×C4—212no—
621C2×C4—21no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—111no—
625C2×C4—111no—
626C2×C4—113no—
627C2×C4—113no—
628C2×C4—2212no—
629C2×C4—223no—
630C2×C4—2212no—
631C2×C4—221no—
632C2×C4—223no—
633C2×C4—442no—
634C2×C4—443no—
635C2×C4—443no—
636C2×C4—446no—
637C2×C4—883no—
638C2×C4—886no—
639C2×C4—883no—
640C2×C4—883no—
641C2×C4C22×C4×D1116yes—
642C2×C4C2×D4×D1113yes—
643C2×C4C2×#434116yes—
644C2×C4C24×D1111yescharacteristic
645C8—21no—
646C8—23no—
647C8—112no—
648C8—116no—
649C22—23no—
650C22—23no—
651C22—26no—
652C22—43no—
653C22—43no—
654C22—812no—
655C22—222no—
656C22—441no—
657C22—441no—
658C22C2×(C22⋊D11)⋊C416yes—
659C22C22×D4×D1111yescharacteristic
660C4—22no—
661C4—41no—
662C4—43no—
663C4—221no—
664C4—223no—
665C4—226no—
666C4—221no—
667C4—223no—
668C4—441no—
669C4—443no—
670C4C2×(C22⋊D11)⋊C416yes—
671C4C23×C4×D1111yescharacteristic
672C4C22×#434111yescharacteristic
673C2—26no—
674C2—46no—
675C2—442no—
676C2C22×(C22⋊D11)⋊C411yescharacteristic
677C2#1308339111yescharacteristic
678C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC11×#2897C2
socleC22×C11C23×D4
prime radicalC2×#10623367C2
cosocleC2×C4×C11C25
hypercenter#2897D11
hypocenterC11#60174
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #13081827C2semidirect
3. H(5,𝔽2)×Dic11C2semidirect
4. #13077487C2semidirect
5. #13077478C2semidirect
6. #13077462C2semidirect
7. #13077442C2semidirect
8. #13077440C2semidirect
9. #13077420C2semidirect
10. #13077412C2semidirect
11. C2×#10622370C2semidirect
12. #13077214C2semidirect
13. #13077150C2semidirect
14. #13077042C2semidirect
15. C11×#2897C2semidirect
20. #10623367C4semidirect
40. #10623053C22semidirect
41. #10623047C22semidirect
42. #10623035C22semidirect
43. C2×#66940C22semidirect
48. #10622746C22semidirect
49. #10622735C22semidirect
50. #10622733C22semidirect
51. M16×Dic11C22semidirect
52. #10622726C22semidirect
53. C2×#66880C22semidirect
54. #10622714C22semidirect
55. C2×#66879C22semidirect
56. #10622611C22semidirect
57. #10622608C22semidirect
58. #10622577C22semidirect
59. C2×#66871C22semidirect
60. #10622430C22semidirect
61. #10622430C22semidirect
62. #10622403C22semidirect
63. #10622402C22semidirect
64. #10622402C22semidirect
65. #10622398C22semidirect
66. #10622398C22semidirect
67. #10622371C22semidirect
68. #10622371C22semidirect
69. #10622370C22semidirect
70. #10622370C22semidirect
71. #10622370C22semidirect
72. #10622370C22semidirect
73. #10622370C22semidirect
74. #10622369C22semidirect
76. C11×H(5,𝔽2)C2×C4semidirect
84. #67043C2×C4semidirect
98. #67004C2×C4semidirect
99. #67003C2×C4semidirect
100. #67001C2×C4semidirect
121. C2×#4324C2×C4semidirect
124. #66985C2×C4semidirect
206. #4339C22×C4semidirect
213. C2×Dic22C22×C4semidirect
229. #4326C22×C4semidirect
230. #4325C22×C4semidirect
231. #4324C22×C4semidirect
232. #4324C22×C4semidirect
233. #4323C22×C4semidirect
256. #4318C22×C4semidirect
257. C2×C11⋊C8C22×C4semidirect
273. #2897D11semidirect
411. H(5,𝔽2)C4×D11semidirect
598. C11#60174semidirect

Maximal subgroups

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

subgroupindex
C2×#106233672
#130818272
H(5,𝔽2)×Dic112
#130774872
#130774782
#130774622
#130774422
#130774402
#130774202
#130774122
C2×#106223702
#130772142
#130771502
#130770422
C11×#28972
#6017411