Finite Group Databasebeta

← C2×#26023351 #36714079

Subgroups — C2×#26023351 #36714079

Order 22784.

2510 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#15668002C211yesmaximal, characteristic
2#26023351C2116yesmaximal, direct product factor
3C2×#19151493C211yesmaximal, characteristic
4C2×#19151493C211yesmaximal, characteristic
5C2×#19151493C211yesmaximal, characteristic
6C2×#19151485C211yesmaximal, characteristic
7C2×#19151484C211yesmaximal, characteristic
8C2×#19151481C211yesmaximal, characteristic
9C2×#19151479C211yesmaximal, characteristic
10C2×C4⋊C4×Dic89C211yesmaximal, characteristic
11C2×C4⋊C4×Dic89C211yesmaximal, characteristic
12C2×C4×#13083553C211yesmaximal, characteristic
13C2×C4×#13083553C211yesmaximal, characteristic
14C2×#19151449C211yesmaximal, characteristic
15C2×#19151449C211yesmaximal, characteristic
16C2×#389×C89C211yesmaximal, characteristic
17C2×#15668002C4116yescomplemented
18C2×#15668002C2218yes—
19C22×C4⋊Dic89C2211yescharacteristic
20C22×C4⋊Dic89C2211yescharacteristic
21C22×#13083553C2211yescharacteristic
22C22×#13083553C2211yescharacteristic
23C22×#13083553C2211yescharacteristic
24C22×#13083553C2211yescharacteristic
25C22×#13083553C2211yescharacteristic
26C22×#13083553C2211yescharacteristic
27C22×#13083553C2211yescharacteristic
28C22×#13083553C2211yescharacteristic
29C22×C4×Dic89C2211yescharacteristic
30C22×C4×Dic89C2211yescharacteristic
31C22×C4×Dic89C2211yescharacteristic
32C22×C4×Dic89C2211yescharacteristic
33C22×C4×Dic89C2211yescharacteristic
34C22×C4×Dic89C2211yescharacteristic
35C22×C4×Dic89C2211yescharacteristic
36C22×C4×Dic89C2211yescharacteristic
37#19151493C2218yes—
38#19151493C2218yes—
39#19151493C2218yes—
40#19151485C2218yes—
41#19151484C2218yes—
42#19151481C2218yes—
43#19151479C2218yes—
44C4⋊C4×Dic89C2218yes—
45C4⋊C4×Dic89C2218yes—
46C4×#13083553C2218yes—
47C4×#13083553C2218yes—
48#19151449C2218yes—
49#19151449C2218yes—
50C2×#15667919C2211yescharacteristic
51C2×#15667919C2211yescharacteristic
52C2×#15667919C2211yescharacteristic
53C2×#15667919C2211yescharacteristic
54C2×#15667919C2211yescharacteristic
55C2×#15667919C2211yescharacteristic
56C2×#15667919C2211yescharacteristic
57C2×#15667919C2211yescharacteristic
58C2×#15667919C2211yescharacteristic
59C2×#15667919C2211yescharacteristic
60C22×C4⋊C4×C89C2211yescharacteristic
61C22×C4⋊C4×C89C2211yescharacteristic
62C22×C4⋊C4×C89C2211yescharacteristic
63C22×C4⋊C4×C89C2211yescharacteristic
64C22×C42×C89C2211yescharacteristic
65#389×C89C2218yes—
66C2×#95×C89C2211yescharacteristic
67C2×#95×C89C2211yescharacteristic
68C23×Dic89C2311yescharacteristic
69C23×Dic89C2311yescharacteristic
70C23×Dic89C2311yescharacteristic
71C23×Dic89C2311yescharacteristic
72C23×Dic89C2311yescharacteristic
73C23×Dic89C2311yescharacteristic
74C23×Dic89C2311yescharacteristic
75C23×Dic89C2311yescharacteristic
76#15668002C2×C4164yescomplemented
77C2×C4⋊Dic89—24no—
78C2×C4⋊Dic89C2×C418yes—
79C2×C4⋊Dic89C2314yes—
80C2×C4⋊Dic89C2314yes—
81C2×#13083553—24no—
82C2×#13083553—24no—
83C2×#13083553—42no—
84C2×#13083553C2×C418yes—
85C2×#13083553C2×C418yes—
86C2×#13083553C2×C418yes—
87C2×#13083553C2×C418yes—
88C2×#13083553Q818yes—
89C2×#13083553C2314yes—
90C2×#13083553C2314yes—
91C2×#13083553C2314yes—
92C2×#13083553C2314yes—
93C2×#13083553C2314yes—
94C2×#13083553C2314yes—
95C2×#13083553C2314yes—
96C2×#13083553C2314yes—
97C2×C4×Dic89—24no—
98C2×C4×Dic89—24no—
99C2×C4×Dic89—24no—
100C2×C4×Dic89—24no—
101C2×C4×Dic89—42no—
102C2×C4×Dic89—42no—
103C2×C4×Dic89—42no—
104C2×C4×Dic89C2×C418yes—
105C2×C4×Dic89C2314yes—
106C2×C4×Dic89C2314yes—
107C2×C4×Dic89C2314yes—
108C2×C4×Dic89C2314yes—
109C2×C4×Dic89C2314yes—
110C2×C4×Dic89C2314yes—
111C2×C4×Dic89C2314yes—
112C2×C4×Dic89C2314yes—
113#15667919C2314yes—
114#15667919C2314yes—
115#15667919C2314yes—
116#15667919C2314yes—
117#15667919C2314yes—
118#15667919C2314yes—
119#15667919C2314yes—
120#15667919C2314yes—
121#15667919C2314yes—
122#15667919C2314yes—
123C23×C4×C89C2311yescharacteristic
124C23×C4×C89C2311yescharacteristic
125C23×C4×C89C2311yescharacteristic
126C23×C4×C89C2311yescharacteristic
127C23×C4×C89C2311yescharacteristic
128C23×C4×C89C2311yescharacteristic
129C23×C4×C89C2311yescharacteristic
130C2×C4⋊C4×C89—24no—
131C2×C4⋊C4×C89—24no—
132C2×C4⋊C4×C89—42no—
133C2×C4⋊C4×C89C2×C418yes—
134C2×C4⋊C4×C89C2314yes—
135C2×C4⋊C4×C89C2314yes—
136C2×C4⋊C4×C89C2314yes—
137C2×C4⋊C4×C89C2314yes—
138C2×C42×C89—42no—
139C2×C42×C89C2314yes—
140#95×C89C2314yes—
141#95×C89C2314yes—
142C22×Dic89—22no—
143C22×Dic89—22no—
144C22×Dic89—22no—
145C22×Dic89—22no—
146C22×Dic89—22no—
147C22×Dic89—22no—
148C22×Dic89—22no—
149C22×Dic89—22no—
150C22×Dic89—22no—
151C22×Dic89—22no—
152C22×Dic89—22no—
153C22×Dic89—22no—
154C22×Dic89—22no—
155C22×Dic89—22no—
156C22×Dic89—22no—
157C22×Dic89—22no—
158C22×Dic89C22×C414yes—
159C22×Dic89C22×C414yes—
160C22×Dic89C22×C414yes—
161C22×Dic89C22×C414yes—
162C22×Dic89C2×Q814yes—
163C22×Dic89C2×Q814yes—
164C22×Dic89#4114yes—
165C22×Dic89#4114yes—
166C22×Dic89C2412yes—
167C22×Dic89C2412yes—
168C22×Dic89C2412yes—
169C22×Dic89C2412yes—
170C22×Dic89C2412yes—
171C22×Dic89C2412yes—
172C22×Dic89C2412yes—
173C22×Dic89C2412yes—
174C4⋊Dic89—28no—
175C4⋊Dic89C22×C4116yes—
176#13083553—28no—
177#13083553—28no—
178#13083553—44no—
179#13083553C22×C4116yes—
180#13083553C22×C4116yes—
181#13083553C22×C4116yes—
182#13083553C22×C4116yes—
183#13083553C2×Q8116yes—
184C4×Dic89—28no—
185C4×Dic89—28no—
186C4×Dic89—28no—
187C4×Dic89—28no—
188C4×Dic89—44no—
189C4×Dic89—44no—
190C4×Dic89—44no—
191C4×Dic89C22×C4116yes—
192C24×C89C2411yescharacteristic
193C22×C4×C89—22no—
194C22×C4×C89—22no—
195C22×C4×C89—22no—
196C22×C4×C89—22no—
197C22×C4×C89—22no—
198C22×C4×C89—22no—
199C22×C4×C89—22no—
200C22×C4×C89—22no—
201C22×C4×C89—22no—
202C22×C4×C89—22no—
203C22×C4×C89—22no—
204C22×C4×C89—22no—
205C22×C4×C89—22no—
206C22×C4×C89—22no—
207C22×C4×C89—22no—
208C22×C4×C89—22no—
209C22×C4×C89C22×C414yes—
210C22×C4×C89C22×C414yes—
211C22×C4×C89C22×C414yes—
212C22×C4×C89C2×Q814yes—
213C22×C4×C89#4114yes—
214C22×C4×C89C2412yes—
215C22×C4×C89C2412yes—
216C22×C4×C89C2412yes—
217C22×C4×C89C2412yes—
218C22×C4×C89C2412yes—
219C22×C4×C89C2412yes—
220C22×C4×C89C2412yes—
221C4⋊C4×C89—28no—
222C4⋊C4×C89—28no—
223C4⋊C4×C89—44no—
224C4⋊C4×C89C22×C4116yes—
225C42×C89—44no—
226C23×C89C23×C412yes—
227C23×C89C22×Q812yes—
228C23×C89C2×#4112yes—
229C23×C89C2×#4112yes—
230C23×C89C2×#4112yes—
231C23×C89H(5,𝔽2)12yes—
232C23×C892−1+412yes—
233C23×C89C2511yescharacteristic
234C2×C4×C89—28no—
235C2×C4×C89—28no—
236C2×C4×C89—28no—
237C2×C4×C89—28no—
238C2×C4×C89—28no—
239C2×C4×C89—22no—
240C2×C4×C89—22no—
241C2×C4×C89—22no—
242C2×C4×C89—22no—
243C2×C4×C89—22no—
244C2×C4×C89—22no—
245C2×C4×C89—22no—
246C2×C4×C89—22no—
247C2×C4×C89—22no—
248C2×C4×C89—22no—
249C2×C4×C89—22no—
250C2×C4×C89—22no—
251C2×C4×C89—22no—
252C2×C4×C89—22no—
253C2×C4×C89—22no—
254C2×C4×C89—22no—
255C2×C4×C89—44no—
256C2×C4×C89—44no—
257C2×C4×C89C23×C414yes—
258C2×C4×C89C23×C414yes—
259C2×C4×C89C23×C414yes—
260C2×C4×C89C22×Q814yes—
261C2×C4×C89C2×#4114yes—
262C2×Dic89—28no—
263C2×Dic89—28no—
264C2×Dic89—28no—
265C2×Dic89—28no—
266C2×Dic89—28no—
267C2×Dic89—22no—
268C2×Dic89—22no—
269C2×Dic89—22no—
270C2×Dic89—22no—
271C2×Dic89—22no—
272C2×Dic89—22no—
273C2×Dic89—22no—
274C2×Dic89—22no—
275C2×Dic89—22no—
276C2×Dic89—22no—
277C2×Dic89—22no—
278C2×Dic89—22no—
279C2×Dic89—22no—
280C2×Dic89—22no—
281C2×Dic89—22no—
282C2×Dic89—22no—
283C2×Dic89—44no—
284C2×Dic89—44no—
285C2×Dic89C4×Q8116yes—
286C2×Dic89C23×C414yes—
287C2×Dic89C23×C414yes—
288C2×Dic89C23×C414yes—
289C2×Dic89C23×C414yes—
290C2×Dic89C22×Q814yes—
291C2×Dic89C22×Q814yes—
292C2×Dic89C2×#4114yes—
293C2×Dic89C2×#4114yes—
294C22×C89C2×C4×Q814yes—
295C22×C89C4×#4114yes—
296C22×C89#52014yes—
297C22×C89#55214yes—
298C22×C89#55314yes—
299C22×C89#55414yes—
300C22×C89#55714yes—
301C22×C89C24×C411yescharacteristic
302C22×C89C23×Q811yescharacteristic
303C22×C89C22×#4111yescharacteristic
304C22×C89C22×#4111yescharacteristic
305C22×C89C22×#4111yescharacteristic
306C22×C89C2×H(5,𝔽2)11yescharacteristic
307C22×C89C2×2−1+411yescharacteristic
308C4×C89—24no—
309C4×C89—24no—
310C4×C89—24no—
311C4×C89—24no—
312C4×C89—24no—
313C4×C89—42no—
314C4×C89—42no—
315Dic89—24no—
316Dic89—24no—
317Dic89—24no—
318Dic89—24no—
319Dic89—24no—
320Dic89—42no—
321Dic89—42no—
322Dic89C2×C4×Q818yes—
323C2×#2370—891nomaximal, Sylow
324C2×C89#237018yescomplemented
325C2×C89C22×C4×Q811yescharacteristic
326C2×C89C2×C4×#4111yescharacteristic
327C2×C89C2×#52011yescharacteristic
328C2×C89C2×#55211yescharacteristic
329C2×C89C2×#55311yescharacteristic
330C2×C89C2×#55411yescharacteristic
331C2×C89C2×#55711yescharacteristic
332C22×#125—891no—
333#2370—8916no—
334C2×#389—891no—
335C2×#389—891no—
336C2×#389—891no—
337C2×#389D8911yescharacteristic
338C2×#387—891no—
339C2×#387—891no—
340C2×#387—891no—
341C2×#387—891no—
342C2×C4×C4⋊C4—891no—
343C2×C4×C4⋊C4—891no—
344C2×C4×C4⋊C4—891no—
345C2×C4×C4⋊C4—891no—
346C2×C4×C4⋊C4—891no—
347C2×C4×C4⋊C4—891no—
348C89C2×#237011yescharacteristic, complemented, Sylow
349C2×#125—8916no—
350C2×#125—898no—
351C22×C4⋊C4—891no—
352C22×C4⋊C4—891no—
353C22×C4⋊C4—891no—
354C22×C4⋊C4—891no—
355C22×C4⋊C4—891no—
356C22×C4⋊C4—891no—
357C22×C4⋊C4—891no—
358C22×C4⋊C4—891no—
359C22×C4⋊C4—891no—
360C22×C4⋊C4—891no—
361C22×C4⋊C4C2×D8911yescharacteristic
362C22×C4⋊C4C2×D8911yescharacteristic
363C22×C4⋊C4C2×D8911yescharacteristic
364C22×C4⋊C4C2×D8911yescharacteristic
365C22×C42—891no—
366C22×C42—891no—
367C22×C42—891no—
368C22×C42—891no—
369C22×C42—891no—
370C22×C42—891no—
371C22×C42—891no—
372C22×C42—891no—
373C22×C42C2×D8911yescharacteristic
374#389—898no—
375#389—898no—
376#389—898no—
377#389C2×D8918yes—
378#387—898no—
379#387—898no—
380#387—898no—
381#387—898no—
382C4×C4⋊C4—898no—
383C4×C4⋊C4—898no—
384C4×C4⋊C4—898no—
385C4×C4⋊C4—898no—
386C4×C4⋊C4—898no—
387C4×C4⋊C4—898no—
388C2×#95—891no—
389C2×#95—891no—
390C2×#95—891no—
391C2×#95—891no—
392C2×#95—891no—
393C2×#95—891no—
394C2×#95—891no—
395C2×#95—891no—
396C2×#95—891no—
397C2×#95—891no—
398C2×#95C2×D8911yescharacteristic
399C2×#95C2×D8911yescharacteristic
400C23×C4—891no—
401C23×C4—891no—
402C23×C4—891no—
403C23×C4—891no—
404C23×C4—891no—
405C23×C4—891no—
406C23×C4—891no—
407C23×C4—891no—
408C23×C4C22×D8911yescharacteristic
409C23×C4C22×D8911yescharacteristic
410C23×C4C22×D8911yescharacteristic
411C23×C4C22×D8911yescharacteristic
412C23×C4C22×D8911yescharacteristic
413C23×C4C22×D8911yescharacteristic
414C23×C4C22×D8911yescharacteristic
415#125—8964no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—42no—
419C2×C4⋊C4—898no—
420C2×C4⋊C4—898no—
421C2×C4⋊C4—898no—
422C2×C4⋊C4—898no—
423C2×C4⋊C4—898no—
424C2×C4⋊C4—898no—
425C2×C4⋊C4—894no—
426C2×C4⋊C4—894no—
427C2×C4⋊C4—894no—
428C2×C4⋊C4—894no—
429C2×C4⋊C4—894no—
430C2×C4⋊C4—894no—
431C2×C4⋊C4—894no—
432C2×C4⋊C4—894no—
433C2×C4⋊C4—894no—
434C2×C4⋊C4—894no—
435C2×C4⋊C4—3562no—
436C2×C4⋊C4—1784no—
437C2×C4⋊C4—1784no—
438C2×C4⋊C4—1784no—
439C2×C4⋊C4C4×D8918yes—
440C2×C4⋊C4C22×D8914yes—
441C2×C4⋊C4C22×D8914yes—
442C2×C4⋊C4C22×D8914yes—
443C2×C4⋊C4C22×D8914yes—
444C2×C42—42no—
445C2×C42—898no—
446C2×C42—894no—
447C2×C42—894no—
448C2×C42—894no—
449C2×C42—894no—
450C2×C42—894no—
451C2×C42—894no—
452C2×C42—894no—
453C2×C42—894no—
454C2×C42—3562no—
455C2×C42—3562no—
456C2×C42—3562no—
457C2×C42—1784no—
458C2×C42—1784no—
459C2×C42—1784no—
460C2×C42—1784no—
461C2×C42C22×D8914yes—
462#95—894no—
463#95—894no—
464#95—894no—
465#95—894no—
466#95—894no—
467#95—894no—
468#95—894no—
469#95—894no—
470#95—894no—
471#95—894no—
472#95C22×D8914yes—
473#95C22×D8914yes—
474C24C23×D8911yescharacteristic
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—894no—
492C22×C4—894no—
493C22×C4—894no—
494C22×C4—892no—
495C22×C4—894no—
496C22×C4—894no—
497C22×C4—894no—
498C22×C4—894no—
499C22×C4—894no—
500C22×C4—892no—
501C22×C4—892no—
502C22×C4—892no—
503C22×C4—892no—
504C22×C4—892no—
505C22×C4—892no—
506C22×C4—892no—
507C22×C4—1782no—
508C22×C4—1782no—
509C22×C4—1782no—
510C22×C4—1782no—
511C22×C4—1782no—
512C22×C4—1782no—
513C22×C4—1782no—
514C22×C4—1782no—
515C22×C4—1782no—
516C22×C4—1782no—
517C22×C4—1782no—
518C22×C4—1782no—
519C22×C4—1782no—
520C22×C4—1782no—
521C22×C4—1782no—
522C22×C4—1782no—
523C22×C4C2×C4×D8914yes—
524C22×C4C2×C4×D8914yes—
525C22×C4C2×C4×D8914yes—
526C22×C4Q8×D8914yes—
527C22×C4#1308357314yes—
528C22×C4C23×D8912yes—
529C22×C4C23×D8912yes—
530C22×C4C23×D8912yes—
531C22×C4C23×D8912yes—
532C22×C4C23×D8912yes—
533C22×C4C23×D8912yes—
534C22×C4C23×D8912yes—
535C4⋊C4—28no—
536C4⋊C4—28no—
537C4⋊C4—44no—
538C4⋊C4—8916no—
539C4⋊C4—8916no—
540C4⋊C4—8916no—
541C4⋊C4—8916no—
542C4⋊C4—8916no—
543C4⋊C4—8916no—
544C4⋊C4—3564no—
545C4⋊C4—1788no—
546C4⋊C4—1788no—
547C4⋊C4—1788no—
548C4⋊C4C2×C4×D89116yes—
549C42—44no—
550C42—8916no—
551C42—3564no—
552C42—3564no—
553C42—3564no—
554C42—1788no—
555C42—1788no—
556C42—1788no—
557C42—1788no—
558C23C22×C4×D8912yes—
559C23C2×Q8×D8912yes—
560C23#41×D8912yes—
561C23#41×D8912yes—
562C23C2×#1308357312yes—
563C23#1566805712yes—
564C23#1566806012yes—
565C23C24×D8911yescharacteristic
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—28no—
579C2×C4—28no—
580C2×C4—28no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—894no—
590C2×C4—894no—
591C2×C4—894no—
592C2×C4—8916no—
593C2×C4—894no—
594C2×C4—894no—
595C2×C4—894no—
596C2×C4—894no—
597C2×C4—894no—
598C2×C4—3564no—
599C2×C4—3564no—
600C2×C4—1782no—
601C2×C4—1782no—
602C2×C4—1782no—
603C2×C4—1782no—
604C2×C4—1782no—
605C2×C4—1782no—
606C2×C4—1782no—
607C2×C4—1782no—
608C2×C4—1782no—
609C2×C4—1782no—
610C2×C4—1782no—
611C2×C4—1782no—
612C2×C4—1782no—
613C2×C4—1782no—
614C2×C4—1782no—
615C2×C4—1782no—
616C2×C4—1788no—
617C2×C4—1788no—
618C2×C4—1788no—
619C2×C4—1788no—
620C2×C4—1788no—
621C2×C4C22×C4×D8914yes—
622C2×C4C22×C4×D8914yes—
623C2×C4C22×C4×D8914yes—
624C2×C4C2×Q8×D8914yes—
625C2×C4C2×#1308357314yes—
626C22C4×Q8×D8914yes—
627C22C4×#1308357314yes—
628C22#1915207914yes—
629C22#1915228014yes—
630C22#1915229114yes—
631C22#1915230214yes—
632C22#1915232314yes—
633C22C23×C4×D8911yescharacteristic
634C22C22×Q8×D8911yescharacteristic
635C22C2×#41×D8911yescharacteristic
636C22C2×#41×D8911yescharacteristic
637C22C22×#1308357311yescharacteristic
638C22C2×#1566805711yescharacteristic
639C22C2×#1566806011yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—24no—
645C4—42no—
646C4—42no—
647C4—898no—
648C4—3562no—
649C4—3562no—
650C4—1784no—
651C4—1784no—
652C4—1784no—
653C4—1784no—
654C4—1784no—
655C2#2602335118yesdirect product factor
656C2C2×C4×Q8×D8911yescharacteristic
657C2C2×C4×#1308357311yescharacteristic
658C2C2×#1915207911yescharacteristic
659C2C2×#1915228011yescharacteristic
660C2C2×#1915229111yescharacteristic
661C2C2×#1915230211yescharacteristic
662C2C2×#1915232311yescharacteristic
subgroupG/H
centerC24C23×D89
commutatorC22×C89C24×C4
FrattiniC23C24×D89
FittingC2×#389×C89C2
socle, prime radicalC24×C89C24
cosocleC23×C89C25
hypercenterC2×#389D89
hypocenterC89C2×#2370
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
2. #26023351C2direct (N × H)
17. C2×#15668002C4semidirect
76. #15668002C2×C4semidirect
324. C2×C89#2370semidirect
348. C89C2×#2370semidirect
655. C2#26023351direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#156680022
#260233512
C2×#191514932
C2×#191514852
C2×#191514842
C2×#191514812
C2×#191514792
C2×C4⋊C4×Dic892
C2×C4×#130835532
C2×#191514492
C2×#389×C892
C2×#237089