Finite Group Databasebeta

← #25156541

Subgroups — #25156541

Order 11008.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582940C211yesmaximal, characteristic, complemented
2#19138009C211yesmaximal, characteristic
3#19137525C211yesmaximal, characteristic, complemented
4#19136118C211yesmaximal, characteristic, complemented
5#19136080C211yesmaximal, characteristic, complemented
6#19136028C211yesmaximal, characteristic, complemented
7#19135774C211yesmaximal, characteristic, complemented
8#19135225C211yesmaximal, characteristic, complemented
9#19135168C211yesmaximal, characteristic, complemented
10#19135030C211yesmaximal, characteristic, complemented
11#19134909C211yesmaximal, characteristic, complemented
12#19134889C211yesmaximal, characteristic, complemented
13#19134794C211yesmaximal, characteristic, complemented
14#19134793C211yesmaximal, characteristic, complemented
15C2×C43×#482C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C2×#13063296C2211yescharacteristic
18C2×C4×C22⋊D43C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×C4⋊C4×D43C2211yescharacteristic
21#14582940—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×C22⋊(C43⋊C8)C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30#14582815—21no—
31#14582807—21no—
32#14582802—21no—
33#14582802C2211yescharacteristic
34#14582798C2211yescharacteristic
35#14582793—21no—
36#14582787—21no—
37#14582783—21no—
38#14582775—21no—
39#14582764C2211yescharacteristic
40#14582759C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582756C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4×(C2×D43)⋊C4—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×#121×C43C2211yescharacteristic
54C2×#117×C43C2211yescharacteristic
55C43×#482—24no—
56C2×#107×C43C2211yescharacteristic
57C2×#106×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C22×C22⋊D43—21no—
62C22×C22⋊D43D411yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621872—22no—
66C2×#10621872—22no—
67C2×#10621872—22no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063296—22no—
71#13063296—22no—
72C4×C22⋊D43—22no—
73C4×C22⋊D43—22no—
74#13063283—22no—
75#13063283—41no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4D411yescharacteristic
83C4⋊C4×D43—22no—
84C4⋊C4×D43—41no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43D411yescharacteristic
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4D411yescharacteristic
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97#13063258—22no—
98#13063258—41no—
99#13063257—22no—
100#13063256—22no—
101#13063246—22no—
102#13063246—41no—
103C22⋊(C43⋊C8)—22no—
104(C2×D43)⋊C8—22no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C22×D4×C43—21no—
113C22×D4×C43C2311yescharacteristic
114C23×C4×C43C2311yescharacteristic
115C22×C8×C43C2311yescharacteristic
116C22×C8×C43C2311yescharacteristic
117#121×C43—22no—
118#121×C43—41no—
119#117×C43—22no—
120#117×C43—41no—
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C42×C43—21no—
127#107×C43D414yescomplemented
128#106×C43—22no—
129#102×C43—22no—
130#102×C43—22no—
131C22⋊C8×C43—22no—
132C24×C43—21no—
133C24×C43C2×D411yescharacteristic
134C23×D43C2×D411yescharacteristic
135C2×D4×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—42no—
142C2×D4×C43—42no—
143C2×D4×C43—81no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—22no—
156C2×C22⋊D43—41no—
157C2×C22⋊D43—41no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—81no—
160C2×C22⋊D43—81no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—81no—
175C2×C4×D43#4112yes—
176C2×C4×D43#4112yes—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43C2×D412yes—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43C2×D412yes—
188C4⋊C4×C43C2×D412yes—
189C22⋊C4×C43—42no—
190C22⋊C4×C43—42no—
191C42×C43—42no—
192C22⋊Dic43—22no—
193C22⋊Dic43—42no—
194C22⋊Dic43—42no—
195C22⋊Dic43—81no—
196C22⋊Dic43—81no—
197C22⋊Dic43—81no—
198(C2×D43)⋊C4—22no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4—42no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—81no—
210Dic43⋊C4—22no—
211Dic43⋊C4—42no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—42no—
215C4×Dic43—81no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8#4112yes—
222#10621872—28no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43#12312yes—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—84no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C432−1+411yescharacteristic
272C22⋊D43—44no—
273C22⋊D43—84no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43#12312yes—
295C4×D43—22no—
296C4×D43—22no—
297C4×D43—22no—
298C4×D43—22no—
299C4×D43—84no—
300C8×C43—22no—
301C8×C43—41no—
302C43⋊C8—22no—
303C43⋊C8—41no—
304#26156—431nomaximal, Sylow
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—41no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43—41no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43C2×#12311yescharacteristic
320C22×C43D4211yescharacteristic
321C22×C43#54711yescharacteristic
322C22×C43#57511yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57611yescharacteristic
325C22×C43#57711yescharacteristic
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C4×C43—41no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43—81no—
337C4×C43#52511yescharacteristic
338C4×C43#53911yescharacteristic
339C4×C43#54811yescharacteristic
340C4×C43#55311yescharacteristic
341Dic43—22no—
342Dic43—41no—
343Dic43—41no—
344Dic43—81no—
345Dic43—81no—
346Dic43—81no—
347Dic43—81no—
348C2×#482D4311yescharacteristic, complemented
349C2×#428—431no—
350#2414—431no—
351#2352—431no—
352#2092—431no—
353#2085—431no—
354#2077—431no—
355#2033—431no—
356#1926—431no—
357#1918—431no—
358#1895—431no—
359#1874—431no—
360#1870—431no—
361#1854—431no—
362#1854—431no—
363C2×C43—81no—
364C2×C43—161no—
365C2×C43#244311yescharacteristic
366C2×C43#309311yescharacteristic
367C2×C43#309611yescharacteristic
368C2×C43#327111yescharacteristic
369C2×C43#327311yescharacteristic
370C2×C43#334711yescharacteristic
371C2×C43#335111yescharacteristic
372D43—42no—
373C22×M16—431no—
374C2×#121—431no—
375C2×#121C2×D4311yescharacteristic
376C2×C4×D4—431no—
377C2×#117—431no—
378C2×#117C2×D4311yescharacteristic
379C22×C4⋊C4—431no—
380#482—24no—
381#428—864no—
382C2×#107—431no—
383C2×#107—431no—
384C2×#107C2×D4311yescharacteristic
385C2×#106—431no—
386C2×#106—431no—
387C2×#106C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102C2×D4311yescharacteristic
391C2×#102C2×D4311yescharacteristic
392C2×C22⋊C8—431no—
393C2×C22⋊C8—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395#394—861no—
396#392—861no—
397#390—431no—
398#390—861no—
399#389—431no—
400#388—861no—
401#388—861no—
402#387—861no—
403#386—861no—
404#382—431no—
405#380—431no—
406#380—431no—
407#380—431no—
408C4×C4⋊C4—431no—
409C4×C22⋊C4—861no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#336—431no—
417#336—431no—
418C43#2615611yescharacteristic, complemented, Sylow
419C22×D4—21no—
420C22×D4—431no—
421C22×D4—861no—
422C22×D4C22×D4311yescharacteristic
423C23×C4—431no—
424C23×C4—861no—
425C23×C4C22×D4311yescharacteristic
426C2×M16—862no—
427C2×M16—862no—
428C2×M16—862no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#121—22no—
434#121—41no—
435#121—862no—
436#121—862no—
437C4×D4—862no—
438C4×D4—862no—
439#117—22no—
440#117—41no—
441#117—862no—
442#117—1721no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—862no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—1721no—
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—431no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C42—21no—
467C2×C42—431no—
468C2×C42—861no—
469C2×C42—861no—
470#107—862no—
471#107—1721no—
472#107C22⋊D4314yescomplemented
473#106—22no—
474#106—862no—
475#106—862no—
476#102—22no—
477#102—22no—
478#102—862no—
479#102—1721no—
480C22⋊C8—22no—
481C22⋊C8—862no—
482C22⋊C8—862no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490C24—21no—
491C24—431no—
492C24D4×D4311yescharacteristic
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—81no—
502C2×D4—862no—
503C2×D4—3441no—
504C2×D4—3441no—
505C2×D4—1721no—
506C2×D4—1721no—
507C2×D4—1722no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—431no—
518C22×C4—432no—
519C22×C4—432no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—3441no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4D4×D4311yescharacteristic
534C22×C4C23×D4311yescharacteristic
535M16—868no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—432no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8C2×C22⋊D4312yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—862no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—3441no—
562C4⋊C4—1722no—
563C4⋊C4C2×C22⋊D4312yes—
564C4⋊C4C2×C22⋊D4312yes—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—862no—
568C22⋊C4—862no—
569C22⋊C4—3441no—
570C22⋊C4—3441no—
571C22⋊C4—3441no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C22⋊C4—1722no—
576C42—42no—
577C42—861no—
578C42—861no—
579C42—3441no—
580C42—1722no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—432no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23C2×D4×D4311yescharacteristic
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—84no—
608D4—3444no—
609D4—1724no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—432no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—3444no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4C22×C22⋊D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4#41×D4311yescharacteristic
656C2×C4#1306337011yescharacteristic
657C2×C4#1306337211yescharacteristic
658C8—22no—
659C8—41no—
660C8—862no—
661C8—1721no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—862no—
677C22—862no—
678C22—862no—
679C22—1721no—
680C22—1721no—
681C22—1721no—
682C22—1721no—
683C22#123×D4311yescharacteristic
684C22D4×C22⋊D4311yescharacteristic
685C22#1458354711yescharacteristic
686C22#1458369511yescharacteristic
687C22#1458369611yescharacteristic
688C22#1458370311yescharacteristic
689C22#1458370611yescharacteristic
690C4—41no—
691C4—42no—
692C4—42no—
693C4—81no—
694C4—862no—
695C4—3441no—
696C4—3441no—
697C4—3441no—
698C4—3441no—
699C4—1721no—
700C4—1721no—
701C4#1458340611yescharacteristic
702C4#1458349211yescharacteristic
703C4#1458355611yescharacteristic
704C4#1458359411yescharacteristic
705C2—81no—
706C2—161no—
707C2—1722no—
708C2#1913832711yescharacteristic
709C2#1914452311yescharacteristic
710C2#1914454811yescharacteristic
711C2#1914618011yescharacteristic
712C2#1914620011yescharacteristic
713C2#1914709311yescharacteristic
714C2#1914714811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#482C2
socleC23×C43C22×D4
prime radical#19138009C2
hypercenterC2×#482D43
hypocenterC43#26156
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#14582940C2semidirect
3. #19137525C2semidirect
4. #19136118C2semidirect
5. #19136080C2semidirect
6. #19136028C2semidirect
7. #19135774C2semidirect
8. #19135225C2semidirect
9. #19135168C2semidirect
10. #19135030C2semidirect
11. #19134909C2semidirect
12. #19134889C2semidirect
13. #19134794C2semidirect
14. #19134793C2semidirect
15. C2×C43×#482C2semidirect
127. #107×C43D4semidirect
348. C2×#482D43semidirect
418. C43#26156semidirect
472. #107C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829402
#191380092
#191375252
#191361182
#191360802
#191360282
#191357742
#191352252
#191351682
#191350302
#191349092
#191348892
#191347942
#191347932
C2×C43×#4822
#2615643