Finite Group Databasebeta

← #519205

Subgroups — #519205

Order 512.

2662 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2374C211yesmaximal, characteristic
2#14701C211yesmaximal, characteristic, complemented
3#14701C211yesmaximal, characteristic, complemented
4#14700C211yesmaximal, characteristic
5#14158C211yesmaximal, characteristic, complemented
6#14157C211yesmaximal, characteristic
7#14146C211yesmaximal, characteristic, complemented
8#14115C211yesmaximal, characteristic, complemented
9#14111C211yesmaximal, characteristic, complemented
10#14095C211yesmaximal, characteristic
11#14095C211yesmaximal, characteristic
12#14087C211yesmaximal, characteristic, complemented
13#14079C211yesmaximal, characteristic, complemented
14#14079C211yesmaximal, characteristic, complemented
15#14071C211yesmaximal, characteristic
16#14062C211yesmaximal, characteristic, complemented
17#14037C211yesmaximal, characteristic, complemented
18#14031C211yesmaximal, characteristic, complemented
19#14012C211yesmaximal, characteristic
20#13948C211yesmaximal, characteristic, complemented
21#13930C211yesmaximal, characteristic, complemented
22#13891C211yesmaximal, characteristic, complemented
23#13819C211yesmaximal, characteristic, complemented
24#13816C211yesmaximal, characteristic, complemented
25#13816C211yesmaximal, characteristic, complemented
26#13816C211yesmaximal, characteristic, complemented
27#13801C211yesmaximal, characteristic, complemented
28C4×#388C211yesmaximal, characteristic, complemented
29#13761C211yesmaximal, characteristic, complemented
30#13759C211yesmaximal, characteristic, complemented
31C42×C4⋊C4C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#117C2211yescharacteristic
34#2374C4116yescomplemented
35C2×#390C2211yescharacteristic
36C2×#390C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C2×#389C2211yescharacteristic
39C2×#388C2211yescharacteristic
40C2×#388C2211yescharacteristic
41C2×#388C2211yescharacteristic
42C2×#388C2211yescharacteristic
43C2×#388C2211yescharacteristic
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#387C2211yescharacteristic
57C2×#387C2211yescharacteristic
58C2×#387C2211yescharacteristic
59C2×#387C2211yescharacteristic
60C2×#387C2211yescharacteristic
61C2×#387C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#380C2211yescharacteristic
64C2×C4×C4⋊C4C2211yescharacteristic
65C2×C4×C4⋊C4C2211yescharacteristic
66C2×C4×C4⋊C4C2211yescharacteristic
67C2×C4×C4⋊C4C2211yescharacteristic
68C2×C4×C4⋊C4C2211yescharacteristic
69C2×C4×C4⋊C4C2211yescharacteristic
70C2×C4×C4⋊C4C2211yescharacteristic
71C2×C4×C4⋊C4C2211yescharacteristic
72C2×C4×C4⋊C4C2211yescharacteristic
73C2×C4×C22⋊C4C2211yescharacteristic
74C2×C4×C22⋊C4C2211yescharacteristic
75C2×C4×C22⋊C4C2211yescharacteristic
76C2×C4×C22⋊C4C2211yescharacteristic
77C2×C4×C22⋊C4C2211yescharacteristic
78C2×C4×C22⋊C4C2211yescharacteristic
79C2×C4×C22⋊C4C2211yescharacteristic
80C2×#376C2211yescharacteristic
81C2×#376C2211yescharacteristic
82C2×#376C2211yescharacteristic
83C2×C43C2211yescharacteristic
84C2×C43C2211yescharacteristic
85C2×C43C2211yescharacteristic
86#1444C2211yescharacteristic
87#1444C2211yescharacteristic
88#1444C2211yescharacteristic
89#1444C2211yescharacteristic
90#1444C2211yescharacteristic
91#1443C2211yescharacteristic
92#1442C2211yescharacteristic
93#1442C2211yescharacteristic
94#1442C2211yescharacteristic
95#1442C2211yescharacteristic
96#1441C2211yescharacteristic
97#1441C2211yescharacteristic
98#1441C2211yescharacteristic
99#1441C2211yescharacteristic
100#1440C2211yescharacteristic
101#1439C2211yescharacteristic
102#1439C2211yescharacteristic
103#1439C2211yescharacteristic
104#1439C2211yescharacteristic
105#1439C2211yescharacteristic
106#1439C2211yescharacteristic
107#1439C2211yescharacteristic
108#1438C2211yescharacteristic
109#1438C2211yescharacteristic
110#1437C2211yescharacteristic
111#1437C2211yescharacteristic
112#1437C2211yescharacteristic
113#1437C2211yescharacteristic
114#1437C2211yescharacteristic
115#1437C2211yescharacteristic
116#1437C2211yescharacteristic
117#1437C2211yescharacteristic
118#1437C2211yescharacteristic
119#1437C2211yescharacteristic
120#1437C2211yescharacteristic
121#1437C2211yescharacteristic
122#1437C2211yescharacteristic
123#1437C2211yescharacteristic
124#1437C2211yescharacteristic
125#1437C2211yescharacteristic
126#1437C2211yescharacteristic
127#1437C2211yescharacteristic
128#1437C2211yescharacteristic
129#1436C2211yescharacteristic
130#1436C2211yescharacteristic
131#1436C2211yescharacteristic
132#1436C2211yescharacteristic
133#1436C2211yescharacteristic
134#1436C2211yescharacteristic
135#1436C2211yescharacteristic
136#1436C2211yescharacteristic
137#1436C2211yescharacteristic
138#1436C2211yescharacteristic
139#1436C2211yescharacteristic
140#1436C2211yescharacteristic
141#1436C2211yescharacteristic
142#1436C2211yescharacteristic
143#1436C2211yescharacteristic
144#1436C2211yescharacteristic
145#1436C2211yescharacteristic
146#1436C2211yescharacteristic
147#1436C2211yescharacteristic
148#1436C2211yescharacteristic
149#1436C2211yescharacteristic
150#1436C2211yescharacteristic
151#1436C2211yescharacteristic
152#1436C2211yescharacteristic
153#1436C2211yescharacteristic
154C4⋊#95C2211yescharacteristic
155C4⋊#95C2211yescharacteristic
156C4⋊#95C2211yescharacteristic
157C4⋊#95C2211yescharacteristic
158C4⋊#95C2211yescharacteristic
159C4⋊#95C2211yescharacteristic
160C4⋊#95C2211yescharacteristic
161#1434C2211yescharacteristic
162#1434C2211yescharacteristic
163#1434C2211yescharacteristic
164#1434C2211yescharacteristic
165#1434C2211yescharacteristic
166#1434C2211yescharacteristic
167#1434C2211yescharacteristic
168#1434C2211yescharacteristic
169#1434C2211yescharacteristic
170#1434C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C4×#95C2211yescharacteristic
175C4×#95C2211yescharacteristic
176C4×#95C2211yescharacteristic
177C4×#95C2211yescharacteristic
178C4×#95C2211yescharacteristic
179C4×#95C2211yescharacteristic
180C4×#95C2211yescharacteristic
181C4×#95C2211yescharacteristic
182C4×#95C2211yescharacteristic
183C4×#95C2211yescharacteristic
184C4×#95C2211yescharacteristic
185C4×#95C2211yescharacteristic
186C4×#95C2211yescharacteristic
187C4×#95C2211yescharacteristic
188C23×D4C2311yescharacteristic
189C24×C4C2311yescharacteristic
190C24×C4C2311yescharacteristic
191C2×#123—24no—
192C2×#123—24no—
193C2×#123C2×C418yes—
194C2×#117—24no—
195C2×#117—24no—
196C2×#117—42no—
197C22×C4⋊C4C2311yescharacteristic
198C22×C4⋊C4C2311yescharacteristic
199C22×C4⋊C4C2311yescharacteristic
200C22×C4⋊C4C2311yescharacteristic
201C22×C4⋊C4C2311yescharacteristic
202C22×C4⋊C4C2311yescharacteristic
203C22×C4⋊C4C2311yescharacteristic
204C22×C4⋊C4C2311yescharacteristic
205C22×C4⋊C4C2311yescharacteristic
206C22×C4⋊C4C2311yescharacteristic
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C22⋊C4C2311yescharacteristic
217C22×C22⋊C4C2311yescharacteristic
218C22×C22⋊C4C2311yescharacteristic
219C22×C22⋊C4C2311yescharacteristic
220C22×C22⋊C4C2311yescharacteristic
221C22×C22⋊C4C2311yescharacteristic
222C22×C22⋊C4C2311yescharacteristic
223C22×C22⋊C4C2311yescharacteristic
224C22×C22⋊C4C2311yescharacteristic
225C22×C22⋊C4C2311yescharacteristic
226C22×C22⋊C4C2311yescharacteristic
227C22×C22⋊C4C2311yescharacteristic
228C22×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C42C2311yescharacteristic
243C22×C42C2311yescharacteristic
244C22×C42C2311yescharacteristic
245C22×C42C2311yescharacteristic
246C22×C42C2311yescharacteristic
247C22×C42C2311yescharacteristic
248C22×C42C2311yescharacteristic
249C22×C42C2311yescharacteristic
250C22×C42C2311yescharacteristic
251C22×C42C2311yescharacteristic
252C22×C42C2311yescharacteristic
253C22×C42C2311yescharacteristic
254C22×C42C2311yescharacteristic
255C22×C42C2311yescharacteristic
256C22×C42C2311yescharacteristic
257C22×C42C2311yescharacteristic
258C22×C42C2311yescharacteristic
259C22×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271#390—42no—
272#390—42no—
273#390C2×C418yes—
274#389—42no—
275#388—24no—
276#388—24no—
277#388—24no—
278#388—24no—
279#388—24no—
280#388—24no—
281#388—24no—
282#388—24no—
283#388—42no—
284#388—42no—
285#388—42no—
286#388—42no—
287#388—42no—
288#388C2×C418yes—
289#388C2×C418yes—
290#388C2×C418yes—
291#388C2×C418yes—
292#387—24no—
293#387—24no—
294#387—42no—
295#387—42no—
296#387C2×C418yes—
297#387C2×C418yes—
298#386C2×C418yes—
299#380—24no—
300C4×C4⋊C4—24no—
301C4×C4⋊C4—24no—
302C4×C4⋊C4—24no—
303C4×C4⋊C4—24no—
304C4×C4⋊C4—24no—
305C4×C4⋊C4—24no—
306C4×C4⋊C4—42no—
307C4×C4⋊C4C2×C418yes—
308C4×C4⋊C4C2×C418yes—
309C4×C22⋊C4—24no—
310C4×C22⋊C4—42no—
311C4×C22⋊C4—42no—
312C4×C22⋊C4C2×C418yes—
313C4×C22⋊C4C2×C418yes—
314C4×C22⋊C4C2×C418yes—
315C4×C22⋊C4C2×C418yes—
316#376—24no—
317#376—42no—
318#376—42no—
319C2×#95C2311yescharacteristic
320C2×#95C2311yescharacteristic
321C2×#95C2311yescharacteristic
322C2×#95C2311yescharacteristic
323C2×#95C2311yescharacteristic
324C2×#95C2311yescharacteristic
325C2×#95C2311yescharacteristic
326C2×#95C2311yescharacteristic
327C2×#95C2311yescharacteristic
328C2×#95C2311yescharacteristic
329C2×#95C2311yescharacteristic
330C2×#95C2311yescharacteristic
331C2×#95C2311yescharacteristic
332C2×#95C2311yescharacteristic
333C2×#95C2311yescharacteristic
334C2×#95C2311yescharacteristic
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C43—24no—
398C43—42no—
399C43—42no—
400C25C2411yescharacteristic
401C25C2411yescharacteristic
402C22×D4—22no—
403C22×D4—22no—
404C22×D4—41no—
405C22×D4—41no—
406C22×D4—41no—
407C22×D4—41no—
408C22×D4C22×C414yes—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—22no—
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—41no—
416C23×C4—41no—
417C23×C4—41no—
418C23×C4—41no—
419C23×C4—41no—
420C23×C4—41no—
421C23×C4C22×C414yes—
422C23×C4C22×C414yes—
423C23×C4C2411yescharacteristic
424C23×C4C2411yescharacteristic
425C23×C4C2411yescharacteristic
426C23×C4C2411yescharacteristic
427C23×C4C2411yescharacteristic
428C23×C4C2411yescharacteristic
429C23×C4C2411yescharacteristic
430C23×C4C2411yescharacteristic
431C23×C4C2411yescharacteristic
432C23×C4C2411yescharacteristic
433C23×C4C2411yescharacteristic
434C23×C4C2411yescharacteristic
435C23×C4C2411yescharacteristic
436C23×C4C2411yescharacteristic
437C23×C4C2411yescharacteristic
438C23×C4C2411yescharacteristic
439C23×C4C2411yescharacteristic
440C23×C4C2411yescharacteristic
441C23×C4C2411yescharacteristic
442C23×C4C2411yescharacteristic
443C23×C4C2411yescharacteristic
444C23×C4C2411yescharacteristic
445C23×C4C2411yescharacteristic
446C23×C4C2411yescharacteristic
447C23×C4C2411yescharacteristic
448C23×C4C2411yescharacteristic
449C23×C4C2411yescharacteristic
450C23×C4C2411yescharacteristic
451C23×C4C2411yescharacteristic
452#123—232no—
453#117—416no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—22no—
457C2×C4⋊C4—22no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—22no—
463C2×C4⋊C4—22no—
464C2×C4⋊C4—22no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—22no—
467C2×C4⋊C4—22no—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4—22no—
473C2×C4⋊C4—22no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—22no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—22no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—22no—
482C2×C4⋊C4—41no—
483C2×C4⋊C4—41no—
484C2×C4⋊C4—41no—
485C2×C4⋊C4—41no—
486C2×C4⋊C4—41no—
487C2×C4⋊C4—41no—
488C2×C4⋊C4—41no—
489C2×C4⋊C4—41no—
490C2×C4⋊C4—41no—
491C2×C4⋊C4—41no—
492C2×C4⋊C4—41no—
493C2×C4⋊C4—41no—
494C2×C4⋊C4—41no—
495C2×C4⋊C4—41no—
496C2×C4⋊C4—41no—
497C2×C4⋊C4—41no—
498C2×C4⋊C4—41no—
499C2×C4⋊C4—41no—
500C2×C4⋊C4—41no—
501C2×C4⋊C4—41no—
502C2×C4⋊C4—41no—
503C2×C4⋊C4C22×C414yes—
504C2×C4⋊C4C22×C414yes—
505C2×C4⋊C4C22×C414yes—
506C2×C4⋊C4C22×C414yes—
507C2×C4⋊C4C22×C414yes—
508C2×C4⋊C4#4114yes—
509C2×C4⋊C4#4114yes—
510C2×C4⋊C4#4114yes—
511C2×C22⋊C4—22no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—22no—
515C2×C22⋊C4—22no—
516C2×C22⋊C4—22no—
517C2×C22⋊C4—22no—
518C2×C22⋊C4—22no—
519C2×C22⋊C4—22no—
520C2×C22⋊C4—22no—
521C2×C22⋊C4—22no—
522C2×C22⋊C4—22no—
523C2×C22⋊C4—22no—
524C2×C22⋊C4—22no—
525C2×C22⋊C4—22no—
526C2×C22⋊C4—22no—
527C2×C22⋊C4—22no—
528C2×C22⋊C4—22no—
529C2×C22⋊C4—22no—
530C2×C22⋊C4—22no—
531C2×C22⋊C4—22no—
532C2×C22⋊C4—22no—
533C2×C22⋊C4—22no—
534C2×C22⋊C4—22no—
535C2×C22⋊C4—22no—
536C2×C22⋊C4—22no—
537C2×C22⋊C4—22no—
538C2×C22⋊C4—22no—
539C2×C22⋊C4—22no—
540C2×C22⋊C4—22no—
541C2×C22⋊C4—22no—
542C2×C22⋊C4—22no—
543C2×C22⋊C4—22no—
544C2×C22⋊C4—22no—
545C2×C22⋊C4—22no—
546C2×C22⋊C4—22no—
547C2×C22⋊C4—22no—
548C2×C22⋊C4—22no—
549C2×C22⋊C4—22no—
550C2×C22⋊C4—22no—
551C2×C22⋊C4—22no—
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—41no—
558C2×C22⋊C4—41no—
559C2×C22⋊C4—41no—
560C2×C22⋊C4—41no—
561C2×C22⋊C4—41no—
562C2×C22⋊C4—41no—
563C2×C22⋊C4—41no—
564C2×C22⋊C4—41no—
565C2×C22⋊C4—41no—
566C2×C22⋊C4—41no—
567C2×C22⋊C4—41no—
568C2×C22⋊C4—41no—
569C2×C22⋊C4—41no—
570C2×C22⋊C4—41no—
571C2×C22⋊C4—41no—
572C2×C22⋊C4—41no—
573C2×C22⋊C4—41no—
574C2×C22⋊C4—41no—
575C2×C22⋊C4—41no—
576C2×C22⋊C4—41no—
577C2×C22⋊C4—41no—
578C2×C22⋊C4—41no—
579C2×C22⋊C4C22×C414yes—
580C2×C22⋊C4C22×C414yes—
581C2×C22⋊C4C22×C414yes—
582C2×C22⋊C4C22×C414yes—
583C2×C22⋊C4C22×C414yes—
584C2×C22⋊C4C22×C414yes—
585C2×C22⋊C4C22×C414yes—
586C2×C22⋊C4C22×C414yes—
587C2×C22⋊C4C22×C414yes—
588C2×C22⋊C4C22×C414yes—
589C2×C42—22no—
590C2×C42—22no—
591C2×C42—22no—
592C2×C42—22no—
593C2×C42—22no—
594C2×C42—22no—
595C2×C42—22no—
596C2×C42—22no—
597C2×C42—22no—
598C2×C42—22no—
599C2×C42—22no—
600C2×C42—22no—
601C2×C42—22no—
602C2×C42—22no—
603C2×C42—22no—
604C2×C42—22no—
605C2×C42—22no—
606C2×C42—22no—
607C2×C42—22no—
608C2×C42—22no—
609C2×C42—22no—
610C2×C42—22no—
611C2×C42—22no—
612C2×C42—22no—
613C2×C42—22no—
614C2×C42—22no—
615C2×C42—22no—
616C2×C42—22no—
617C2×C42—22no—
618C2×C42—22no—
619C2×C42—22no—
620C2×C42—22no—
621C2×C42—22no—
622C2×C42—22no—
623C2×C42—22no—
624C2×C42—22no—
625C2×C42—22no—
626C2×C42—22no—
627C2×C42—22no—
628C2×C42—22no—
629C2×C42—22no—
630C2×C42—22no—
631C2×C42—22no—
632C2×C42—22no—
633C2×C42—22no—
634C2×C42—22no—
635C2×C42—22no—
636C2×C42—22no—
637C2×C42—22no—
638C2×C42—22no—
639C2×C42—41no—
640C2×C42—41no—
641C2×C42—41no—
642C2×C42—41no—
643C2×C42—41no—
644C2×C42—41no—
645C2×C42—41no—
646C2×C42—41no—
647C2×C42—41no—
648C2×C42—41no—
649C2×C42—41no—
650C2×C42—41no—
651C2×C42—41no—
652C2×C42—41no—
653C2×C42—41no—
654C2×C42—41no—
655C2×C42—41no—
656C2×C42—41no—
657C2×C42—41no—
658C2×C42—41no—
659C2×C42—41no—
660C2×C42—41no—
661C2×C42—41no—
662C2×C42—41no—
663C2×C42—41no—
664C2×C42—41no—
665C2×C42—41no—
666C2×C42—41no—
667C2×C42C22×C414yes—
668C2×C42C22×C414yes—
669C2×C42C22×C414yes—
670C2×C42C22×C414yes—
671C2×C42C22×C414yes—
672C2×C42C22×C414yes—
673C2×C42C22×C414yes—
674C2×C42#4114yes—
675C2×C42#4114yes—
676#95—22no—
677#95—22no—
678#95—22no—
679#95—22no—
680#95—22no—
681#95—22no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—22no—
689#95—22no—
690#95—22no—
691#95—22no—
692#95—22no—
693#95—22no—
694#95—22no—
695#95—22no—
696#95—22no—
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—22no—
709#95—22no—
710#95—22no—
711#95—22no—
712#95—22no—
713#95—22no—
714#95—22no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—41no—
721#95—41no—
722#95—41no—
723#95—41no—
724#95—41no—
725#95—41no—
726#95—41no—
727#95—41no—
728#95—41no—
729#95—41no—
730#95—41no—
731#95—41no—
732#95—41no—
733#95—41no—
734#95—41no—
735#95—41no—
736#95—41no—
737#95—41no—
738#95—41no—
739#95—41no—
740#95—41no—
741#95C22×C414yes—
742#95C22×C414yes—
743#95C22×C414yes—
744#95C22×C414yes—
745#95C22×C414yes—
746#95C22×C414yes—
747#95C22×C414yes—
748#95C22×C414yes—
749#95C22×C414yes—
750#95C22×C414yes—
751#95#4114yes—
752#95#4114yes—
753#95#4114yes—
754C24—21no—
755C24—21no—
756C24—21no—
757C24—21no—
758C24—21no—
759C24—21no—
760C24—21no—
761C24—21no—
762C24—21no—
763C24—21no—
764C24—21no—
765C24—21no—
766C24—21no—
767C24—21no—
768C24—21no—
769C24—21no—
770C24—21no—
771C24—21no—
772C24—21no—
773C24—21no—
774C24—21no—
775C24—21no—
776C24—21no—
777C24—21no—
778C24—21no—
779C24—21no—
780C24—21no—
781C24—21no—
782C24C23×C412yes—
783C24C23×C412yes—
784C24C2511yescharacteristic
785C2×D4—28no—
786C2×D4—44no—
787C2×D4—44no—
788C2×D4—82no—
789C2×D4—82no—
790C2×D4—82no—
791C2×D4—82no—
792C22×C4—21no—
793C22×C4—21no—
794C22×C4—21no—
795C22×C4—21no—
796C22×C4—21no—
797C22×C4—21no—
798C22×C4—21no—
799C22×C4—21no—
800C22×C4—21no—
801C22×C4—21no—
802C22×C4—21no—
803C22×C4—21no—
804C22×C4—21no—
805C22×C4—21no—
806C22×C4—21no—
807C22×C4—21no—
808C22×C4—21no—
809C22×C4—21no—
810C22×C4—21no—
811C22×C4—21no—
812C22×C4—21no—
813C22×C4—21no—
814C22×C4—21no—
815C22×C4—21no—
816C22×C4—21no—
817C22×C4—21no—
818C22×C4—21no—
819C22×C4—21no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—21no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4—21no—
834C22×C4—21no—
835C22×C4—21no—
836C22×C4—21no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—28no—
913C22×C4—28no—
914C22×C4—28no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—44no—
958C22×C4—44no—
959C22×C4—44no—
960C22×C4—44no—
961C22×C4—44no—
962C22×C4—44no—
963C22×C4—44no—
964C22×C4—82no—
965C22×C4—82no—
966C22×C4—82no—
967C22×C4—82no—
968C22×C4C23×C412yes—
969C22×C4C23×C412yes—
970C22×C4C23×C412yes—
971C22×C4C23×C412yes—
972C22×C4C23×C412yes—
973C22×C4C23×C412yes—
974C22×C4C23×C412yes—
975C22×C4C23×C412yes—
976C22×C4C23×C412yes—
977C22×C4C23×C412yes—
978C22×C4C23×C412yes—
979C22×C4C23×C412yes—
980C22×C4C23×C412yes—
981C22×C4C2×#4112yes—
982C22×C4C2×#4112yes—
983C22×C4C2×#4112yes—
984C22×C4C2×#4112yes—
985C22×C4C2×#4112yes—
986C22×C4C2×#4112yes—
987C22×C4C2×#4112yes—
988C22×C4C2×#4112yes—
989C22×C4C2×#4112yes—
990C22×C4C2×#4112yes—
991C22×C4C2×#4112yes—
992C22×C4C2×#4112yes—
993C22×C4C2×#4112yes—
994C22×C4C2×#4112yes—
995C22×C4C2×#4112yes—
996C22×C4C2×#4112yes—
997C22×C4C2×#4112yes—
998C22×C4C2×#4112yes—
999C22×C4C2×#4112yes—
1000C22×C4C2×#4112yes—
1001C22×C4C2×#4112yes—
1002C22×C4C2×#4112yes—
1003C22×C4C2×#4112yes—
1004C22×C4C2×#4112yes—
1005C22×C4H(5,𝔽2)12yes—
1006C22×C4H(5,𝔽2)12yes—
1007C22×C4H(5,𝔽2)12yes—
1008C22×C42−1+412yes—
1009C4⋊C4—28no—
1010C4⋊C4—28no—
1011C4⋊C4—28no—
1012C4⋊C4—28no—
1013C4⋊C4—28no—
1014C4⋊C4—28no—
1015C4⋊C4—44no—
1016C4⋊C4—44no—
1017C4⋊C4—44no—
1018C4⋊C4—44no—
1019C4⋊C4—82no—
1020C4⋊C4—82no—
1021C4⋊C4—82no—
1022C4⋊C4—82no—
1023C4⋊C4—82no—
1024C4⋊C4—82no—
1025C4⋊C4—82no—
1026C4⋊C4—82no—
1027C4⋊C4#117116yescomplemented
1028C22⋊C4—28no—
1029C22⋊C4—28no—
1030C22⋊C4—28no—
1031C22⋊C4—28no—
1032C22⋊C4—28no—
1033C22⋊C4—28no—
1034C22⋊C4—28no—
1035C22⋊C4—28no—
1036C22⋊C4—28no—
1037C22⋊C4—44no—
1038C22⋊C4—44no—
1039C22⋊C4—44no—
1040C22⋊C4—44no—
1041C22⋊C4—44no—
1042C22⋊C4—44no—
1043C22⋊C4—44no—
1044C22⋊C4—44no—
1045C22⋊C4—44no—
1046C22⋊C4—82no—
1047C22⋊C4—82no—
1048C22⋊C4—82no—
1049C22⋊C4—82no—
1050C22⋊C4—82no—
1051C22⋊C4—82no—
1052C22⋊C4—82no—
1053C22⋊C4—82no—
1054C42—28no—
1055C42—28no—
1056C42—28no—
1057C42—28no—
1058C42—28no—
1059C42—28no—
1060C42—28no—
1061C42—44no—
1062C42—44no—
1063C42—44no—
1064C42—44no—
1065C42—44no—
1066C42—44no—
1067C42—44no—
1068C42—44no—
1069C42—44no—
1070C42—44no—
1071C42—44no—
1072C42—44no—
1073C42—44no—
1074C42—44no—
1075C42—44no—
1076C42—44no—
1077C42—44no—
1078C42—44no—
1079C42—44no—
1080C42—44no—
1081C42—82no—
1082C42—82no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23—41no—
1120C23—41no—
1121C23—41no—
1122C23—41no—
1123C23—41no—
1124C23—41no—
1125C23—41no—
1126C23—41no—
1127C23—41no—
1128C23—41no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23C24×C411yescharacteristic
1154C23C22×#4111yescharacteristic
1155C23C22×#4111yescharacteristic
1156C23C22×#4111yescharacteristic
1157C23C22×#4111yescharacteristic
1158C23C22×#4111yescharacteristic
1159C23C22×#4111yescharacteristic
1160C23C22×#4111yescharacteristic
1161C23C22×#4111yescharacteristic
1162C23C2×H(5,𝔽2)11yescharacteristic
1163C23C2×H(5,𝔽2)11yescharacteristic
1164C23C2×H(5,𝔽2)11yescharacteristic
1165C23C2×2−1+411yescharacteristic
1166C23#58511yescharacteristic
1167C23#58511yescharacteristic
1168D4—88no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—22no—
1179C2×C4—22no—
1180C2×C4—22no—
1181C2×C4—22no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—22no—
1191C2×C4—22no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—22no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—416no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—88no—
1365C2×C4C2×#11714yes—
1366C2×C4C2×#11714yes—
1367C2×C4C2×#11714yes—
1368C2×C4C4×#4114yes—
1369C2×C4C4×#4114yes—
1370C2×C4C4×#4114yes—
1371C2×C4#52014yes—
1372C2×C4#55114yes—
1373C2×C4#55314yes—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22C22×#11711yescharacteristic
1405C22C2×C4×#4111yescharacteristic
1406C22C2×C4×#4111yescharacteristic
1407C22C2×C4×#4111yescharacteristic
1408C22C2×#52011yescharacteristic
1409C22C4×H(5,𝔽2)11yescharacteristic
1410C22C4×H(5,𝔽2)11yescharacteristic
1411C22#344411yescharacteristic
1412C22#344411yescharacteristic
1413C22#344411yescharacteristic
1414C22#344411yescharacteristic
1415C22C2×#55111yescharacteristic
1416C22C2×#55311yescharacteristic
1417C22#347511yescharacteristic
1418C22#347511yescharacteristic
1419C22#347511yescharacteristic
1420C22#348011yescharacteristic
1421C22#348111yescharacteristic
1422C22#348111yescharacteristic
1423C22#348211yescharacteristic
1424C22#348211yescharacteristic
1425C22#348311yescharacteristic
1426C22#348311yescharacteristic
1427C22#349211yescharacteristic
1428C22#349411yescharacteristic
1429C22#350711yescharacteristic
1430C22#350811yescharacteristic
1431C22#351311yescharacteristic
1432C22#351411yescharacteristic
1433C22#351411yescharacteristic
1434C22#351611yescharacteristic
1435C22#351911yescharacteristic
1436C22#351911yescharacteristic
1437C22#352111yescharacteristic
1438C22#352211yescharacteristic
1439C4—24no—
1440C4—24no—
1441C4—24no—
1442C4—24no—
1443C4—24no—
1444C4—24no—
1445C4—24no—
1446C4—24no—
1447C4—24no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—42no—
1453C4—42no—
1454C4—42no—
1455C4—42no—
1456C4—42no—
1457C4—42no—
1458C4—42no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C2—82no—
1469C2—82no—
1470C2#3402611yescharacteristic
1471C2#3412911yescharacteristic
1472C2C4×#55111yescharacteristic
1473C2C4×#55311yescharacteristic
1474C2#3426111yescharacteristic
1475C2#3430511yescharacteristic
1476C2#3433111yescharacteristic
1477C2#3632711yescharacteristic
1478C2#3632811yescharacteristic
1479C2#3634711yescharacteristic
1480C2#3635311yescharacteristic
1481C2#3636411yescharacteristic
1482C2#3636911yescharacteristic
1483C2#3639811yescharacteristic
1484C2#3639911yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14701C2semidirect
3. #14701C2semidirect
5. #14158C2semidirect
7. #14146C2semidirect
8. #14115C2semidirect
9. #14111C2semidirect
12. #14087C2semidirect
13. #14079C2semidirect
14. #14079C2semidirect
16. #14062C2semidirect
17. #14037C2semidirect
18. #14031C2semidirect
20. #13948C2semidirect
21. #13930C2semidirect
22. #13891C2semidirect
23. #13819C2semidirect
24. #13816C2semidirect
25. #13816C2semidirect
26. #13816C2semidirect
27. #13801C2semidirect
28. C4×#388C2semidirect
29. #13761C2semidirect
30. #13759C2semidirect
31. C42×C4⋊C4C2semidirect
34. #2374C4semidirect
1027. C4⋊C4#117semidirect

Maximal subgroups

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

subgroupindex
C2×#23742
#147012
#147002
#141582
#141572
#141462
#141152
#141112
#140952
#140872
#140792
#140712
#140622
#140372
#140312
#140122
#139482
#139302
#138912
#138192
#138162
#138012
C4×#3882
#137612
#137592
C42×C4⋊C42