Finite Group Databasebeta

← C2×#30893 #7502196

Subgroups — C2×#30893 #7502196

Order 512.

2534 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#490C211yesmaximal, characteristic
2C22×#464C211yesmaximal, characteristic, complemented
3C2×#2544C211yesmaximal, characteristic
4C2×#2453C211yesmaximal, characteristic, complemented
5#30893C2116yesmaximal, direct product factor
6C2×#2065C211yesmaximal, characteristic, complemented
7C2×#2042C211yesmaximal, characteristic, complemented
8C2×#2042C211yesmaximal, characteristic, complemented
9C2×#2026C211yesmaximal, characteristic, complemented
10C2×#2015C211yesmaximal, characteristic, complemented
11C2×#2014C211yesmaximal, characteristic
12C2×#1971C211yesmaximal, characteristic, complemented
13C2×#1917C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1877C211yesmaximal, characteristic, complemented
16C2×#1864C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C22×#127C2211yescharacteristic
21C22×#125C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#490—28no—
27C2×#490C2218yes—
28C2×#464—28no—
29C2×#464C2218yescomplemented
30C22×#106C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#97C2211yescharacteristic
43#2544—24no—
44#2544C2218yes—
45#2453—24no—
46#2453C2218yescomplemented
47C2×#400—21no—
48C2×#398—21no—
49C2×#394—21no—
50C2×#394—21no—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#389—21no—
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#387—21no—
59C2×#386—21no—
60C2×#386—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2065C2218yescomplemented
63#2042C2218yescomplemented
64#2042C2218yescomplemented
65#2026C2218yescomplemented
66#2015C2218yescomplemented
67#2014C2218yes—
68#1971C2218yescomplemented
69#1917C2218yescomplemented
70#1880C2218yescomplemented
71#1877C2218yescomplemented
72#1864C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4—21no—
82C23×D4—21no—
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C24×C4—21no—
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—42no—
89C22×Q16C2314yes—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—24no—
93C22×SD16—42no—
94C22×SD16—42no—
95C22×SD16—42no—
96C22×SD16C2314yes—
97C22×SD16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×#127—24no—
103C2×#127—22no—
104C2×#127—42no—
105C2×#127C2314yes—
106C2×#125—24no—
107C2×#125—22no—
108C2×#125—42no—
109C2×#125C2314yes—
110C2×#124—24no—
111C2×#124—22no—
112C2×#124—22no—
113C2×#124—42no—
114C2×#124—42no—
115C2×#124—42no—
116C2×#124C2314yes—
117C2×#124C2314yes—
118C2×C4×Q8—22no—
119C2×C4×Q8—24no—
120C2×C4×Q8—42no—
121C2×C4×Q8C2314yes—
122C2×C4×D4—22no—
123C2×C4×D4—42no—
124C2×C4×D4—42no—
125C2×C4×D4C2314yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#490—232no—
149#464—232no—
150C2×#106—42no—
151C2×#106C2314yes—
152C2×C4⋊C8—24no—
153C2×C4⋊C8C2314yes—
154C2×#103—24no—
155C2×#103—42no—
156C2×#103—42no—
157C2×#103—42no—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#102—24no—
163C2×#102—24no—
164C2×#102—24no—
165C2×#102—42no—
166C2×#102—42no—
167C2×#102D418yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#97—24no—
175C2×#97C2314yes—
176#400—28no—
177#398—28no—
178#394—28no—
179#394—28no—
180#391—22no—
181#391—22no—
182#391—22no—
183#391C2314yes—
184#391C2314yes—
185#391C2314yes—
186#390—22no—
187#390C2314yes—
188#389—28no—
189#389—22no—
190#389—22no—
191#389C2314yes—
192#389C2314yes—
193#387—28no—
194#386—28no—
195#386—28no—
196C4×C4⋊C4D414yes—
197C4×C4⋊C4C2314yes—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#336C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8#4114yes—
230C22×Q8C2412yes—
231C22×Q8C2412yes—
232C22×D4—21no—
233C22×D4—22no—
234C22×D4—21no—
235C22×D4—24no—
236C22×D4—24no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4—44no—
250C22×D4—44no—
251C22×D4—82no—
252C22×D4—82no—
253C22×D4C2×D414yes—
254C22×D4C2412yes—
255C22×D4C2412yes—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—44no—
264C23×C4—82no—
265C23×C4—82no—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C2×Q16—28no—
274C2×Q16—28no—
275C2×Q16—44no—
276C2×Q16—416no—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—28no—
280C2×SD16—44no—
281C2×SD16—44no—
282C2×SD16—44no—
283C2×SD16—416no—
284C2×SD16—416no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8C2×D414yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301#127—28no—
302#127—44no—
303#127—48no—
304#125—28no—
305#125—44no—
306#125—48no—
307#124—28no—
308#124—44no—
309#124—44no—
310#124—44no—
311#124—48no—
312#124—48no—
313C4×Q8—28no—
314C4×Q8—44no—
315C4×Q8—48no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—48no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4C2×D414yes—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2×D414yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4—82no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—24no—
370C2×C42—44no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2×D412yes—
374C2×C42C2412yes—
375C2×C42C2412yes—
376C2×C42C2412yes—
377#106—44no—
378C4⋊C8—28no—
379#103—28no—
380#103—44no—
381#103—44no—
382#103—44no—
383#102—28no—
384#102—28no—
385#102—28no—
386#102—44no—
387#102—44no—
388#102C2×D4116yes—
389#97—28no—
390#95—24no—
391#95—24no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95C2×D414yes—
399#95C2×D414yes—
400C24—24no—
401C24—22no—
402C24—22no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24C22×D411yescharacteristic
417C2×Q8—24no—
418C2×Q8—22no—
419C2×Q8—28no—
420C2×Q8—28no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—44no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8C2×#4114yes—
443C2×D4—28no—
444C2×D4—24no—
445C2×D4—28no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—44no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—84no—
473C2×D4—84no—
474C2×D4—816no—
475C2×D4—816no—
476C2×D4C22×D414yes—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—48no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—84no—
521C22×C4—84no—
522C22×C4—816no—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C2×#4112yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C42−1+412yes—
536C22×C4C2511yescharacteristic
537Q16—416no—
538SD16—416no—
539SD16—416no—
540C2×C8—28no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—44no—
553C2×C8—44no—
554C2×C8—44no—
555C2×C8C22×D414yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4C22×D414yes—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C42—24no—
583C42—24no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—48no—
592C23—24no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—48no—
597C23—48no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23#53512yes—
621C23D4212yes—
622C23#54812yes—
623C23#57512yes—
624C23#57512yes—
625C23#57712yes—
626C23#57712yes—
627C23C23×D411yescharacteristic
628Q8—24no—
629Q8—24no—
630Q8—48no—
631Q8—42no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—42no—
637Q8—84no—
638D4—24no—
639D4—24no—
640D4—48no—
641D4—42no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—816no—
648D4—816no—
649D4—84no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—48no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—816no—
695C2×C4—84no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4#53512yes—
700C2×C4#53714yes—
701C2×C4#53814yes—
702C2×C4D4212yes—
703C2×C4#54614yes—
704C2×C4#54812yes—
705C2×C4#56214yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C2×H(5,𝔽2)11yescharacteristic
709C2×C4C2×H(5,𝔽2)11yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×2−1+411yescharacteristic
712C8—24no—
713C8—42no—
714C8—42no—
715C8—42no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—816no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—168no—
732C22#267614yes—
733C22#321914yes—
734C22#322214yes—
735C22#326714yes—
736C22#327514yes—
737C22#337114yes—
738C22#337114yes—
739C22C2×#53511yescharacteristic
740C22C2×D4211yescharacteristic
741C22C2×#54811yescharacteristic
742C22C2×#57511yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57711yescharacteristic
745C22C2×#57711yescharacteristic
746C4—42no—
747C4—42no—
748C4—44no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—44no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#267614yes—
759C4C2×#53711yescharacteristic
760C4C2×#53811yescharacteristic
761C4C2×#54611yescharacteristic
762C4C2×#56211yescharacteristic
763C2—84no—
764C2—162no—
765C2#3089318yesdirect product factor
766C2C2×#267611yescharacteristic
767C2C2×#321911yescharacteristic
768C2C2×#322211yescharacteristic
769C2C2×#326711yescharacteristic
770C2C2×#327511yescharacteristic
771C2C2×#337111yescharacteristic
772C2C2×#337111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#464C2semidirect
4. C2×#2453C2semidirect
5. #30893C2direct (N × H)
6. C2×#2065C2semidirect
7. C2×#2042C2semidirect
8. C2×#2042C2semidirect
9. C2×#2026C2semidirect
10. C2×#2015C2semidirect
12. C2×#1971C2semidirect
13. C2×#1917C2semidirect
14. C2×#1880C2semidirect
15. C2×#1877C2semidirect
16. C2×#1864C2semidirect
29. C2×#464C22semidirect
46. #2453C22semidirect
62. #2065C22semidirect
63. #2042C22semidirect
64. #2042C22semidirect
65. #2026C22semidirect
66. #2015C22semidirect
68. #1971C22semidirect
69. #1917C22semidirect
70. #1880C22semidirect
71. #1877C22semidirect
72. #1864C22semidirect
765. C2#30893direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4902
C22×#4642
C2×#25442
C2×#24532
#308932
C2×#20652
C2×#20422
C2×#20262
C2×#20152
C2×#20142
C2×#19712
C2×#19172
C2×#18802
C2×#18772
C2×#18642