Finite Group Databasebeta

← #34008612

Subgroups — #34008612

Order 18688.

914 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×#64408C211yesmaximal, characteristic
2C2×#17989461C211yesmaximal, characteristic
3C2×#17989460C211yesmaximal, characteristic
4C2×#17989460C211yesmaximal, characteristic
5C2×#17989452C211yesmaximal, characteristic
6#22625108C211yesmaximal, characteristic
7#340×D73C211yesmaximal, characteristic
8C22×#11924036C2211yescharacteristic
9C22×C4⋊#64408C2211yescharacteristic
10C22×C4⋊#64408C2211yescharacteristic
11C22×C4×#64408—21no—
12C22×C4×#64408C2211yescharacteristic
13C4⋊C4×#64408—22no—
14C4⋊C4×#64408C414yescomplemented
15C2×(C2×#64408)⋊C4—21no—
16C2×(C2×#64408)⋊C4—21no—
17C2×(C2×#64408)⋊C4—21no—
18#17989461—22no—
19#17989460—22no—
20#17989460C414yescomplemented
21#17989452—22no—
22C22×C8×D73C2211yescharacteristic
23C2×C4⋊C4×D73C2211yescharacteristic
24C2×C4⋊C4×D73C2211yescharacteristic
25#17988350C411yescharacteristic, complemented
26#17988349C411yescharacteristic, complemented
27#17988349C411yescharacteristic, complemented
28#340×C73C411yescharacteristic, complemented
29C23×#64408—21no—
30C23×#64408—21no—
31C23×#64408D411yescharacteristic
32C23×#64408D411yescharacteristic
33C2×#11924036—21no—
34C2×#11924036—21no—
35C2×#11924036—21no—
36C2×#11924036—21no—
37C2×#11924036—21no—
38C2×#11924036C2×C412yes—
39C22×#10596833—21no—
40C2×C4⋊#64408—21no—
41C2×C4⋊#64408—21no—
42C2×C4⋊#64408—21no—
43C2×C4⋊#64408—21no—
44C2×C4⋊#64408—21no—
45C2×C4⋊#64408—21no—
46C2×C4⋊#64408—21no—
47C2×C4⋊#64408—21no—
48C2×C4⋊#64408C2×C412yes—
49C2×C4⋊#64408C2×C412yes—
50C2×C4⋊#64408D412yes—
51C2×C4⋊#64408Q812yes—
52C2×C4×#64408—24no—
53C2×C4×#64408—21no—
54C2×C4×#64408—21no—
55C2×C4×#64408—21no—
56C2×C4×#64408—21no—
57C2×C4×#64408—42no—
58C2×C4×#64408—42no—
59C2×C4×#64408C2×C412yes—
60C2×C4×#64408D412yes—
61(C2×#64408)⋊C4—24no—
62(C2×#64408)⋊C4—42no—
63(C2×#64408)⋊C4—42no—
64C22×C4×D73—21no—
65C22×C4×D73—21no—
66C22×C4×D73C2311yescharacteristic
67C22×#10596831C2×C411yescharacteristic
68C2×C8×D73—21no—
69C2×C8×D73—21no—
70C2×C8×D73—21no—
71C2×C8×D73—21no—
72C2×C8×D73—21no—
73C2×C8×D73—21no—
74C2×C4⋊Dic73C2×C411yescharacteristic
75C2×C4⋊Dic73C2×C411yescharacteristic
76C2×#11924007—21no—
77C2×#11924007—21no—
78C4⋊C4×D73—21no—
79C4⋊C4×D73—21no—
80C4⋊C4×D73—21no—
81C4⋊C4×D73—21no—
82C4⋊C4×D73—21no—
83C4⋊C4×D73—21no—
84C4⋊C4×D73C2×C412yes—
85C4⋊C4×D73C2×C412yes—
86C22×C8×C73C2×C411yescharacteristic
87C2×C4⋊C4×C73C2×C411yescharacteristic
88C2×C4⋊C4×C73C2×C411yescharacteristic
89C22×#64408—21no—
90C22×#64408—21no—
91C22×#64408—21no—
92C22×#64408—21no—
93C22×#64408—22no—
94C22×#64408—22no—
95C22×#64408—22no—
96C22×#64408—21no—
97C22×#64408—21no—
98C22×#64408—21no—
99C22×#64408—21no—
100C22×#64408—21no—
101C22×#64408—21no—
102C22×#64408—22no—
103C22×#64408—41no—
104C22×#64408—41no—
105C22×#64408—41no—
106C22×#64408—41no—
107C22×#64408—41no—
108C22×#64408—41no—
109C22×#64408—41no—
110C22×#64408—41no—
111C22×#64408—41no—
112C22×#64408—41no—
113C22×#64408C22⋊C412yes—
114C22×#64408C22⋊C412yes—
115C22×#64408D812yes—
116C22×#64408SD1612yes—
117#11924036—22no—
118#11924036—22no—
119#11924036—41no—
120#11924036—41no—
121C2×#10596833—22no—
122C2×#10596833—41no—
123C2×#10596833—41no—
124C4⋊#64408—22no—
125C4⋊#64408—22no—
126C4⋊#64408—22no—
127C4⋊#64408—22no—
128C4⋊#64408—22no—
129C4⋊#64408—41no—
130C4⋊#64408—41no—
131C4⋊#64408C4⋊C414yes—
132C4×#64408—22no—
133C4×#64408—22no—
134C4×#64408—22no—
135C4×#64408—22no—
136C4×#64408—48no—
137C23×D73C2×D411yescharacteristic
138C22×Dic73—21no—
139C22×Dic73—21no—
140C22×Dic73#4111yescharacteristic
141C2×C4×D73—22no—
142C2×C4×D73—22no—
143C2×C4×D73—41no—
144C2×C4×D73—41no—
145C2×C4×D73—41no—
146C2×C4×D73—41no—
147C2×C4×D73—41no—
148C2×C4×D73—41no—
149C2×C4×D73—41no—
150C2×C4×D73—41no—
151C2×C4×D73—41no—
152C2×C4×D73—41no—
153C2×C4×D73C22×C411yescharacteristic
154C2×C4×D73C22×C411yescharacteristic
155C2×C4×D73C2×D411yescharacteristic
156C2×C4×D73C2×D411yescharacteristic
157C2×C4×D73C2×Q811yescharacteristic
158C2×C4×D73#4111yescharacteristic
159C2×C4×D73#4111yescharacteristic
160C2×C4×D73#4111yescharacteristic
161C2×C4×D73#4111yescharacteristic
162C2×C4×D73#4111yescharacteristic
163C2×C4×D73#4111yescharacteristic
164C2×C4×D73#4111yescharacteristic
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831—21no—
168C8×D73—41no—
169C8×D73—41no—
170C8×D73—41no—
171C8×D73—41no—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73C4212yes—
176#11924007—22no—
177#11924007—22no—
178#11924007—41no—
179#11924007—41no—
180C22×C4×C73—21no—
181C22×C4×C73—21no—
182C22×C4×C73C22×C411yescharacteristic
183C2×C8×C73—21no—
184C2×C8×C73—21no—
185C2×C8×C73—21no—
186C4⋊C4×C73—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—21no—
189C4⋊C4×C73C4212yes—
190C23×C73C4×D411yescharacteristic
191C22×D73C2×C22⋊C411yescharacteristic
192C22×D73C4×D411yescharacteristic
193C22×D73#12111yescharacteristic
194C22×D73C22⋊Q811yescharacteristic
195C22×D73#12311yescharacteristic
196C22×D73#12311yescharacteristic
197C22×D73C2×D811yescharacteristic
198C22×D73C2×SD1611yescharacteristic
199C22×D73#13511yescharacteristic
200C22×D73#13511yescharacteristic
201C22×D73AGL(1,ℤ/8)11yescharacteristic
202C22×D73#13711yescharacteristic
203C22×D73#13711yescharacteristic
204C22×D73#13711yescharacteristic
205C2×#64408—22no—
206C2×#64408—22no—
207C2×#64408—22no—
208C2×#64408—22no—
209C2×#64408—22no—
210C2×#64408—22no—
211C2×#64408—24no—
212C2×#64408—22no—
213C2×#64408—22no—
214C2×#64408—22no—
215C2×#64408—42no—
216C2×#64408—42no—
217C2×#64408—42no—
218C2×#64408—42no—
219C2×#64408—42no—
220C2×#64408—42no—
221C2×#64408—41no—
222C2×#64408—41no—
223C2×#64408—41no—
224C2×#64408—41no—
225C2×#64408—42no—
226C2×#64408—42no—
227C2×#64408—42no—
228C2×#64408—81no—
229C2×#64408—81no—
230C2×#64408—81no—
231C2×#64408—81no—
232C2×#64408#10214yes—
233C2×C4×C73—22no—
234C2×C4×C73—41no—
235C2×C4×C73—41no—
236C2×C4×C73—41no—
237C2×C4×C73—41no—
238C2×C4×C73—41no—
239C2×C4×C73C2×C4211yescharacteristic
240C2×C4×C73#11711yescharacteristic
241C2×C4×C73#11711yescharacteristic
242C2×C4×C73C4×D411yescharacteristic
243C2×C4×C73C4×D411yescharacteristic
244C2×C4×C73C4×Q811yescharacteristic
245C2×Dic73—22no—
246C2×Dic73—41no—
247C2×Dic73—41no—
248C2×Dic73—41no—
249C2×Dic73—41no—
250C2×Dic73—41no—
251C2×Dic73#11711yescharacteristic
252C2×Dic73C4×D411yescharacteristic
253C2×Dic73#12411yescharacteristic
254C2×Dic73#12511yescharacteristic
255C2×Dic73#12611yescharacteristic
256C2×Dic73#12611yescharacteristic
257C4×D73—42no—
258C4×D73—42no—
259C4×D73—42no—
260C4×D73—42no—
261C4×D73—81no—
262C4×D73—81no—
263C4×D73—81no—
264C4×D73—81no—
265C4×D73C2×C4⋊C411yescharacteristic
266C4×D73#11711yescharacteristic
267C4×D73#11711yescharacteristic
268C4×D73#11711yescharacteristic
269C4×D73#11711yescharacteristic
270C4×D73#11711yescharacteristic
271C4×D73C4×D411yescharacteristic
272C4×D73C4×Q811yescharacteristic
273C4×D73#12111yescharacteristic
274C4×D73C22⋊Q811yescharacteristic
275C4×D73#12311yescharacteristic
276C4×D73#12311yescharacteristic
277C4×D73#12411yescharacteristic
278C4×D73#12511yescharacteristic
279C4×D73#12611yescharacteristic
280C4×D73#12611yescharacteristic
281#10596833—42no—
282C8×C73—41no—
283#10596831—41no—
284C22×C73C4×C22⋊C411yescharacteristic
285C22×C73#38711yescharacteristic
286C22×C73#38811yescharacteristic
287C22×C73C4×D811yescharacteristic
288C22×C73C4×SD1611yescharacteristic
289C22×C73#44011yescharacteristic
290C22×C73#44111yescharacteristic
291C2×D73#38011yescharacteristic
292C2×D73#38111yescharacteristic
293C2×D73#38711yescharacteristic
294C2×D73#38811yescharacteristic
295C2×D73C2×#10211yescharacteristic
296C2×D73#41611yescharacteristic
297C2×D73#41711yescharacteristic
298C2×D73#41911yescharacteristic
299C2×D73C4×D811yescharacteristic
300C2×D73C4×SD1611yescharacteristic
301C2×D73#44011yescharacteristic
302C2×D73#44111yescharacteristic
303C2×D73#45911yescharacteristic
304C2×D73#46111yescharacteristic
305C2×D73#46411yescharacteristic
306C2×D73#46411yescharacteristic
307C2×D73#47411yescharacteristic
308C2×D73#47611yescharacteristic
309C2×D73#47911yescharacteristic
310C2×D73#47911yescharacteristic
311C2×D73#48011yescharacteristic
312C2×D73#48011yescharacteristic
313C2×D73#48211yescharacteristic
314C2×D73#48211yescharacteristic
315C2×D73#48311yescharacteristic
316C2×D73#48311yescharacteristic
317C2×D73#48511yescharacteristic
318C2×D73#48511yescharacteristic
319#64408—24no—
320#64408—44no—
321#64408—42no—
322#64408—82no—
323C4×C73—42no—
324C4×C73—81no—
325C4×C73#37611yescharacteristic
326C4×C73C4×C4⋊C411yescharacteristic
327C4×C73#38711yescharacteristic
328C4×C73#38811yescharacteristic
329Dic73—42no—
330Dic73—81no—
331Dic73#38211yescharacteristic
332Dic73#38311yescharacteristic
333Dic73#38711yescharacteristic
334Dic73#38811yescharacteristic
335#10806—731nomaximal, Sylow
336C2×C73#143411yescharacteristic
337C2×C73C4×#10211yescharacteristic
338C2×C73#176311yescharacteristic
339C2×C73#191811yescharacteristic
340C2×C73#192011yescharacteristic
341C2×C73#192511yescharacteristic
342C2×C73#192711yescharacteristic
343D73#180211yescharacteristic
344D73#180511yescharacteristic
345D73#182311yescharacteristic
346D73#182511yescharacteristic
347D73#191811yescharacteristic
348D73#192011yescharacteristic
349D73#192511yescharacteristic
350D73#192711yescharacteristic
351C2×C4×C4⋊C4—731no—
352C2×#340—731no—
353C2×#340—731no—
354C2×#340—731no—
355C2×#340—731no—
356C2×#336—731no—
357C4⋊#95—731no—
358C73#1080611yescharacteristic, complemented, Sylow
359C23×C8—731no—
360C23×C8—731no—
361C22×C4⋊C4—731no—
362C22×C4⋊C4—731no—
363C22×C4⋊C4—731no—
364C22×C4⋊C4—731no—
365C22×C42—731no—
366C22×C42—1461no—
367C4×C4⋊C4—734no—
368C4×C4⋊C4—1462no—
369C2×#95—1461no—
370C2×#95—1461no—
371C2×#95—1461no—
372#340—734no—
373#340—731no—
374#340—731no—
375#340—731no—
376#340—1462no—
377#340—1462no—
378#340#6440811yescharacteristic, complemented
379#336—1462no—
380C23×C4—731no—
381C23×C4—731no—
382C23×C4—731no—
383C23×C4—1461no—
384C23×C4—1461no—
385C23×C4—1461no—
386C23×C4—1461no—
387C22×C8—732no—
388C22×C8—731no—
389C22×C8—1461no—
390C22×C8—1461no—
391C22×C8—1461no—
392C22×C8—1461no—
393C22×C8—1461no—
394C22×C8—1461no—
395C22×C8—1461no—
396C22×C8—1461no—
397C22×C8—1461no—
398C22×C8—1461no—
399C22×C8—1461no—
400C22×C8—1461no—
401C22×C8C2×#6440811yescharacteristic
402C2×C4⋊C4—732no—
403C2×C4⋊C4—732no—
404C2×C4⋊C4—732no—
405C2×C4⋊C4—731no—
406C2×C4⋊C4—732no—
407C2×C4⋊C4—732no—
408C2×C4⋊C4—732no—
409C2×C4⋊C4—731no—
410C2×C4⋊C4—1461no—
411C2×C4⋊C4—1461no—
412C2×C4⋊C4—1461no—
413C2×C4⋊C4—1461no—
414C2×C4⋊C4—1461no—
415C2×C4⋊C4—1461no—
416C2×C4⋊C4—1461no—
417C2×C4⋊C4—1461no—
418C2×C4⋊C4—1461no—
419C2×C4⋊C4—1461no—
420C2×C4⋊C4—1461no—
421C2×C4⋊C4—1461no—
422C2×C4⋊C4—1461no—
423C2×C4⋊C4—1461no—
424C2×C4⋊C4—1461no—
425C2×C4⋊C4—1461no—
426C2×C4⋊C4C2×#6440811yescharacteristic
427C2×C4⋊C4C2×#6440811yescharacteristic
428C2×C42—2922no—
429C2×C42—2922no—
430C2×C42—732no—
431C2×C42—732no—
432C2×C42—1464no—
433C2×C42—1461no—
434C2×C42—1461no—
435C2×C42—1461no—
436C2×C42—1461no—
437#95—2922no—
438#95—2922no—
439#95—1464no—
440C24—731no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—2921no—
444C22×C4—2921no—
445C22×C4—2921no—
446C22×C4—2921no—
447C22×C4—2921no—
448C22×C4—2921no—
449C22×C4—2921no—
450C22×C4—2921no—
451C22×C4—2921no—
452C22×C4—2921no—
453C22×C4—2921no—
454C22×C4—2921no—
455C22×C4—2921no—
456C22×C4—2921no—
457C22×C4—2921no—
458C22×C4—2921no—
459C22×C4—2921no—
460C22×C4—2921no—
461C22×C4—2921no—
462C22×C4—2921no—
463C22×C4—731no—
464C22×C4—731no—
465C22×C4—731no—
466C22×C4—731no—
467C22×C4—731no—
468C22×C4—731no—
469C22×C4—731no—
470C22×C4—731no—
471C22×C4—731no—
472C22×C4—731no—
473C22×C4—731no—
474C22×C4—731no—
475C22×C4—731no—
476C22×C4—732no—
477C22×C4—732no—
478C22×C4—732no—
479C22×C4—732no—
480C22×C4—1462no—
481C22×C4—1462no—
482C22×C4—1462no—
483C22×C4—1461no—
484C22×C4—1461no—
485C22×C4—1462no—
486C22×C4—1461no—
487C22×C4—1461no—
488C22×C4—1462no—
489C22×C4—1462no—
490C22×C4—1461no—
491C22×C4—1461no—
492C22×C4—1461no—
493C22×C4—1461no—
494C22×C4—1461no—
495C22×C4—1461no—
496C22×C4—1461no—
497C22×C4—1461no—
498C22×C4C22×#6440811yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—2921no—
503C2×C8—2921no—
504C2×C8—2921no—
505C2×C8—2921no—
506C2×C8—2921no—
507C2×C8—2921no—
508C2×C8—2921no—
509C2×C8—2921no—
510C2×C8—1462no—
511C2×C8—1462no—
512C2×C8—1462no—
513C2×C8—1461no—
514C2×C8—1461no—
515C2×C8—1461no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—2921no—
520C4⋊C4—2921no—
521C4⋊C4—2921no—
522C4⋊C4—2921no—
523C4⋊C4—734no—
524C4⋊C4—732no—
525C4⋊C4—1462no—
526C4⋊C4—1462no—
527C4⋊C4—1462no—
528C4⋊C4—1462no—
529C4⋊C4—1461no—
530C4⋊C4—1461no—
531C4⋊C4—1462no—
532C4⋊C4—1462no—
533C4⋊C4—1462no—
534C4⋊C4—1461no—
535C4⋊C4C4×#6440812yes—
536C42—2928no—
537C42—1462no—
538C42—1462no—
539C42—1462no—
540C42—1462no—
541C23—731no—
542C23—731no—
543C23—731no—
544C23—731no—
545C23—731no—
546C23—731no—
547C23—731no—
548C23—731no—
549C23—731no—
550C23—731no—
551C23—731no—
552C23—731no—
553C23—731no—
554C23—731no—
555C23D4×#6440811yescharacteristic
556C2×C4—22no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—2922no—
563C2×C4—2922no—
564C2×C4—2922no—
565C2×C4—2922no—
566C2×C4—2922no—
567C2×C4—2922no—
568C2×C4—2922no—
569C2×C4—2922no—
570C2×C4—2922no—
571C2×C4—2922no—
572C2×C4—2921no—
573C2×C4—2921no—
574C2×C4—2921no—
575C2×C4—2921no—
576C2×C4—2921no—
577C2×C4—2921no—
578C2×C4—2922no—
579C2×C4—2922no—
580C2×C4—2922no—
581C2×C4—2921no—
582C2×C4—2921no—
583C2×C4—2921no—
584C2×C4—5841no—
585C2×C4—5841no—
586C2×C4—5841no—
587C2×C4—5841no—
588C2×C4—5841no—
589C2×C4—5841no—
590C2×C4—5841no—
591C2×C4—5841no—
592C2×C4—731no—
593C2×C4—731no—
594C2×C4—731no—
595C2×C4—731no—
596C2×C4—731no—
597C2×C4—731no—
598C2×C4—731no—
599C2×C4—731no—
600C2×C4—731no—
601C2×C4—731no—
602C2×C4—731no—
603C2×C4—731no—
604C2×C4—731no—
605C2×C4—731no—
606C2×C4—731no—
607C2×C4—731no—
608C2×C4—731no—
609C2×C4—731no—
610C2×C4—731no—
611C2×C4—731no—
612C2×C4—731no—
613C2×C4—731no—
614C2×C4—734no—
615C2×C4—1462no—
616C2×C4—1464no—
617C2×C4—1462no—
618C2×C4—1462no—
619C2×C4—1462no—
620C2×C4—1462no—
621C2×C4—1462no—
622C2×C4—1462no—
623C2×C4—1462no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4C2×C4×#6440811yescharacteristic
627C2×C4#1455667011yescharacteristic
628C2×C4#1455667011yescharacteristic
629C2×C4D4×#6440811yescharacteristic
630C2×C4D4×#6440811yescharacteristic
631C2×C4Q8×#6440811yescharacteristic
632C8—41no—
633C8—2922no—
634C8—2921no—
635C22—731no—
636C22—731no—
637C22—731no—
638C22—731no—
639C22—731no—
640C22—731no—
641C22—731no—
642C22—731no—
643C22—731no—
644C22—731no—
645C22—731no—
646C22—731no—
647C22—731no—
648C22—731no—
649C22—731no—
650C22—731no—
651C22—731no—
652C22—731no—
653C22—731no—
654C22—731no—
655C22—731no—
656C22—731no—
657C22—731no—
658C22—731no—
659C22—731no—
660C22—731no—
661C22—731no—
662C22—731no—
663C22C22⋊C4×#6440811yescharacteristic
664C22#1798953611yescharacteristic
665C22#1798953711yescharacteristic
666C22D8×#6440811yescharacteristic
667C22SD16×#6440811yescharacteristic
668C22#1798962611yescharacteristic
669C22#1798962711yescharacteristic
670C4—42no—
671C4—81no—
672C4—2924no—
673C4—2922no—
674C4—2922no—
675C4—5842no—
676C4—5841no—
677C4—731no—
678C4—731no—
679C4—731no—
680C4—731no—
681C4—1464no—
682C4#1798952311yescharacteristic
683C4C4⋊C4×#6440811yescharacteristic
684C4#1798953611yescharacteristic
685C4#1798953711yescharacteristic
686C2—731no—
687C2—731no—
688C2—731no—
689C2—731no—
690C2—731no—
691C2—731no—
692C2—731no—
693C2—731no—
694C2#2262510611yescharacteristic
695C2#102×#6440811yescharacteristic
696C2#2262570411yescharacteristic
697C2#2262599211yescharacteristic
698C2#2262599411yescharacteristic
699C2#2262600811yescharacteristic
700C2#2262601011yescharacteristic
subgroupG/H
centerC23D4×#64408
commutatorC2×C4×C73C2×C42
FrattiniC22×C4C22×#64408
Fitting#340×C73C4
socleC23×C73C4×D4
prime radicalC23×D73C2×D4
cosocleC22×C4×D73C23
hypercenter#340#64408
hypocenterC73#10806
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C4 ◁ #340

Complements

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

NH ≅ G/Ntype
14. C4⋊C4×#64408C4semidirect
20. #17989460C4semidirect
25. #17988350C4semidirect
26. #17988349C4semidirect
27. #17988349C4semidirect
28. #340×C73C4semidirect
358. C73#10806semidirect
378. #340#64408semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×#644082
C2×#179894612
C2×#179894602
C2×#179894522
#226251082
#340×D732
#1080673