Finite Group Databasebeta

← C2×#13120222 #16034151

Subgroups — C2×#13120222 #16034151

Order 3328.

2574 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88143C211yesmaximal, characteristic
2C22×#88141C211yesmaximal, characteristic
3#13120222C2116yesmaximal, direct product factor
4C2×#11718318C211yesmaximal, characteristic
5C2×#11718645C211yesmaximal, characteristic
6C2×#11718317C211yesmaximal, characteristic
7C2×#11718640C211yesmaximal, characteristic
8C2×#11718589C211yesmaximal, characteristic
9C2×#11718308C211yesmaximal, characteristic
10C2×#11718308C211yesmaximal, characteristic
11C2×#11718633C211yesmaximal, characteristic
12C2×#11718633C211yesmaximal, characteristic
13C2×#11718633C211yesmaximal, characteristic
14C2×#11718633C211yesmaximal, characteristic
15C2×C4×#6101C211yesmaximal, characteristic
16C2×C13×#389C211yesmaximal, characteristic
17C23×Dic26C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C42×C13C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C22×C4⋊Dic13C2211yescharacteristic
25C22×C4⋊Dic13C2211yescharacteristic
26C22×#6101C2211yescharacteristic
27C22×#6101C2211yescharacteristic
28C22×#6101C2211yescharacteristic
29C22×#6101C2211yescharacteristic
30C22×#6101C2211yescharacteristic
31C22×#6101C2211yescharacteristic
32C22×#6101C2211yescharacteristic
33C22×#6101C2211yescharacteristic
34C22×#6101C2211yescharacteristic
35C22×#6101C2211yescharacteristic
36C22×#6101C2211yescharacteristic
37C22×#6101C2211yescharacteristic
38C22×C4×Dic13C2211yescharacteristic
39C22×C4×Dic13C2211yescharacteristic
40C22×C4×Dic13C2211yescharacteristic
41C22×C4×Dic13C2211yescharacteristic
42C2×#88143—28no—
43C2×#88143C2218yes—
44C2×#88141—28no—
45C2×#88141C2218yes—
46C13×#389C2218yes—
47C2×C13×#95C2211yescharacteristic
48C2×C13×#95C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C2×#88071C2211yescharacteristic
52C2×#88071C2211yescharacteristic
53C2×#88071C2211yescharacteristic
54C2×#88071C2211yescharacteristic
55C2×#88071C2211yescharacteristic
56C2×#88071C2211yescharacteristic
57#11718645C2218yes—
58#11718640C2218yes—
59#11718633C2218yes—
60#11718633C2218yes—
61#11718633C2218yes—
62#11718633C2218yes—
63C4×#6101C2218yes—
64#11718589C2218yes—
65#11718318C2218yes—
66#11718317C2218yes—
67#11718308C2218yes—
68#11718308C2218yes—
69C23×C4×C13C2311yescharacteristic
70C23×C4×C13C2311yescharacteristic
71C23×C4×C13C2311yescharacteristic
72C23×C4×C13C2311yescharacteristic
73C23×C4×C13C2311yescharacteristic
74C23×C4×C13C2311yescharacteristic
75C23×C4×C13C2311yescharacteristic
76C23×Dic13C2311yescharacteristic
77C23×Dic13C2311yescharacteristic
78C23×Dic13C2311yescharacteristic
79C23×Dic13C2311yescharacteristic
80C23×Dic13C2311yescharacteristic
81C23×Dic13C2311yescharacteristic
82C23×Dic13C2311yescharacteristic
83C23×Dic13C2311yescharacteristic
84C22×Dic26—24no—
85C22×Dic26—24no—
86C22×Dic26—24no—
87C22×Dic26C2314yes—
88C2×C13×C4⋊C4—24no—
89C2×C13×C4⋊C4—24no—
90C2×C13×C4⋊C4—24no—
91C2×C13×C4⋊C4—42no—
92C2×C13×C4⋊C4C2314yes—
93C2×C13×C4⋊C4C2314yes—
94C2×C13×C4⋊C4C2314yes—
95C2×C13×C4⋊C4C2314yes—
96C2×C42×C13—42no—
97C2×C42×C13C2314yes—
98C2×C4⋊Dic13—24no—
99C2×C4⋊Dic13—24no—
100C2×C4⋊Dic13—42no—
101C2×C4⋊Dic13C2314yes—
102C2×C4⋊Dic13C2314yes—
103C2×C4⋊Dic13C2314yes—
104C2×#6101—24no—
105C2×#6101—24no—
106C2×#6101—24no—
107C2×#6101—24no—
108C2×#6101—24no—
109C2×#6101—24no—
110C2×#6101—24no—
111C2×#6101—24no—
112C2×#6101—42no—
113C2×#6101—42no—
114C2×#6101Q818yescomplemented
115C2×#6101Q818yescomplemented
116C2×#6101C2314yes—
117C2×#6101C2314yes—
118C2×#6101C2314yes—
119C2×#6101C2314yes—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×#6101C2314yes—
123C2×#6101C2314yes—
124C2×#6101C2314yes—
125C2×#6101C2314yes—
126C2×#6101C2314yes—
127C2×#6101C2314yes—
128C2×C4×Dic13—24no—
129C2×C4×Dic13—24no—
130C2×C4×Dic13—42no—
131C2×C4×Dic13D418yes—
132C2×C4×Dic13C2314yes—
133C2×C4×Dic13C2314yes—
134C2×C4×Dic13C2314yes—
135C2×C4×Dic13C2314yes—
136#88143—232no—
137#88141—232no—
138C13×#95C2314yes—
139C13×#95C2314yes—
140#88071C2314yes—
141#88071C2314yes—
142#88071C2314yes—
143#88071C2314yes—
144#88071C2314yes—
145#88071C2314yes—
146#88071C2314yes—
147#88071C2314yes—
148C2×#2584—131nomaximal, Sylow
149C24×C13C2411yescharacteristic
150C22×C4×C13—22no—
151C22×C4×C13—22no—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—22no—
167C22×C4×C13C2×D414yes—
168C22×C4×C13C2×Q814yes—
169C22×C4×C13C2×Q814yes—
170C22×C4×C13#4114yes—
171C22×C4×C13C2412yes—
172C22×C4×C13C2412yes—
173C22×C4×C13C2412yes—
174C22×C4×C13C2412yes—
175C22×C4×C13C2412yes—
176C22×C4×C13C2412yes—
177C22×C4×C13C2412yes—
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13—22no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—22no—
186C22×Dic13—22no—
187C22×Dic13—22no—
188C22×Dic13—22no—
189C22×Dic13—22no—
190C22×Dic13—22no—
191C22×Dic13—22no—
192C22×Dic13—22no—
193C22×Dic13—22no—
194C22×Dic13—22no—
195C22×Dic13C2×D414yes—
196C22×Dic13C2×D414yes—
197C22×Dic13C2×Q814yes—
198C22×Dic13C2×Q814yes—
199C22×Dic13C2×Q814yes—
200C22×Dic13C2×Q814yes—
201C22×Dic13#4114yes—
202C22×Dic13C2412yes—
203C22×Dic13C2412yes—
204C22×Dic13C2412yes—
205C22×Dic13C2412yes—
206C22×Dic13C2412yes—
207C22×Dic13C2412yes—
208C22×Dic13C2412yes—
209C22×Dic13C2412yes—
210C2×Dic26—232no—
211C2×Dic26—28no—
212C2×Dic26—28no—
213C2×Dic26—28no—
214C13×C4⋊C4—28no—
215C13×C4⋊C4—28no—
216C13×C4⋊C4—28no—
217C13×C4⋊C4—44no—
218C42×C13—44no—
219C4⋊Dic13—28no—
220C4⋊Dic13—28no—
221C4⋊Dic13—44no—
222#6101—28no—
223#6101—28no—
224#6101—28no—
225#6101—28no—
226#6101—28no—
227#6101—28no—
228#6101—28no—
229#6101—28no—
230#6101—44no—
231#6101—44no—
232#6101C2×Q8116yescomplemented
233#6101C2×Q8116yescomplemented
234C4×Dic13—28no—
235C4×Dic13—28no—
236C4×Dic13—44no—
237C4×Dic13C2×D4116yes—
238C22×#125—131no—
239C22×C4×Q8—131no—
240#2584—1316no—
241C2×#398—131no—
242C2×#398—131no—
243C2×#395—131no—
244C2×#395—131no—
245C2×#389—131no—
246C2×#389—131no—
247C2×#389—131no—
248C2×#389—131no—
249C2×#389—131no—
250C2×#389—131no—
251C2×#389—131no—
252C2×#389D1311yescharacteristic
253C2×C4×C4⋊C4—131no—
254C23×C13C22×D412yes—
255C23×C13C22×Q812yes—
256C23×C13C22×Q812yes—
257C23×C13C2×#4112yes—
258C23×C13C2×#4112yes—
259C23×C13H(5,𝔽2)12yes—
260C23×C132−1+412yes—
261C23×C13C2511yescharacteristic
262C2×C4×C13—28no—
263C2×C4×C13—28no—
264C2×C4×C13—28no—
265C2×C4×C13—28no—
266C2×C4×C13—22no—
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—44no—
284C2×C4×C13—44no—
285C2×C4×C13—44no—
286C2×C4×C13C22×D414yes—
287C2×C4×C13C22×Q814yes—
288C2×C4×C13C22×Q814yes—
289C2×C4×C13C2×#4114yes—
290C2×Dic13—28no—
291C2×Dic13—28no—
292C2×Dic13—28no—
293C2×Dic13—28no—
294C2×Dic13—22no—
295C2×Dic13—22no—
296C2×Dic13—22no—
297C2×Dic13—22no—
298C2×Dic13—22no—
299C2×Dic13—22no—
300C2×Dic13—22no—
301C2×Dic13—22no—
302C2×Dic13—22no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—44no—
312C2×Dic13—44no—
313C2×Dic13—44no—
314C2×Dic13C4⋊Q8116yes—
315C2×Dic13C22×D414yes—
316C2×Dic13C22×D414yes—
317C2×Dic13C22×Q814yes—
318C2×Dic13C22×Q814yes—
319C2×Dic13C22×Q814yes—
320C2×Dic13C22×Q814yes—
321C2×Dic13C2×#4114yes—
322Dic26—232no—
323C23×Q8—131no—
324C2×#125—138no—
325C2×#125—268no—
326C2×C4×Q8—138no—
327C2×C4×Q8—268no—
328C22×C4⋊C4—131no—
329C22×C4⋊C4—131no—
330C22×C4⋊C4—131no—
331C22×C4⋊C4—131no—
332C22×C4⋊C4—131no—
333C22×C4⋊C4—131no—
334C22×C4⋊C4—131no—
335C22×C4⋊C4—131no—
336C22×C4⋊C4—131no—
337C22×C4⋊C4—131no—
338C22×C4⋊C4—131no—
339C22×C4⋊C4—131no—
340C22×C4⋊C4—131no—
341C22×C4⋊C4—131no—
342C22×C4⋊C4—131no—
343C22×C4⋊C4C2×D1311yescharacteristic
344C22×C4⋊C4C2×D1311yescharacteristic
345C22×C4⋊C4C2×D1311yescharacteristic
346C22×C4⋊C4C2×D1311yescharacteristic
347C22×C42—131no—
348C22×C42—131no—
349C22×C42—131no—
350C22×C42—131no—
351C22×C42C2×D1311yescharacteristic
352#398—138no—
353#398—138no—
354#395—138no—
355#395—138no—
356#389—138no—
357#389—138no—
358#389—138no—
359#389—138no—
360#389—138no—
361#389—138no—
362#389—138no—
363#389C2×D1318yes—
364C4×C4⋊C4—138no—
365C2×#95—131no—
366C2×#95—131no—
367C2×#95—131no—
368C2×#95—131no—
369C2×#95—131no—
370C2×#95—131no—
371C2×#95—131no—
372C2×#95—131no—
373C2×#95C2×D1311yescharacteristic
374C2×#95C2×D1311yescharacteristic
375C22×C13#52514yes—
376C22×C13C2×C4⋊Q814yes—
377C22×C13#53714yes—
378C22×C13#55414yes—
379C22×C13#55414yes—
380C22×C13#55714yes—
381C22×C13#55714yes—
382C22×C13C23×D411yescharacteristic
383C22×C13C23×Q811yescharacteristic
384C22×C13C23×Q811yescharacteristic
385C22×C13C22×#4111yescharacteristic
386C22×C13C22×#4111yescharacteristic
387C22×C13C2×H(5,𝔽2)11yescharacteristic
388C22×C13C2×2−1+411yescharacteristic
389C4×C13—24no—
390C4×C13—24no—
391C4×C13—24no—
392C4×C13—24no—
393C4×C13—42no—
394C4×C13—42no—
395C4×C13—42no—
396Dic13—24no—
397Dic13—24no—
398Dic13—24no—
399Dic13—24no—
400Dic13—42no—
401Dic13—42no—
402Dic13—42no—
403Dic13C2×C4⋊Q818yes—
404C22×Q8—134no—
405C22×Q8—264no—
406C22×Q8—264no—
407C22×Q8—264no—
408C23×C4—131no—
409C23×C4—131no—
410C23×C4—131no—
411C23×C4—131no—
412C23×C4—131no—
413C23×C4—131no—
414C23×C4—131no—
415C23×C4—131no—
416C23×C4C22×D1311yescharacteristic
417C23×C4C22×D1311yescharacteristic
418C23×C4C22×D1311yescharacteristic
419C23×C4C22×D1311yescharacteristic
420C23×C4C22×D1311yescharacteristic
421C23×C4C22×D1311yescharacteristic
422C23×C4C22×D1311yescharacteristic
423#125—2632no—
424C4×Q8—2632no—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—138no—
430C2×C4⋊C4—138no—
431C2×C4⋊C4—134no—
432C2×C4⋊C4—134no—
433C2×C4⋊C4—134no—
434C2×C4⋊C4—134no—
435C2×C4⋊C4—134no—
436C2×C4⋊C4—134no—
437C2×C4⋊C4—134no—
438C2×C4⋊C4—134no—
439C2×C4⋊C4—134no—
440C2×C4⋊C4—134no—
441C2×C4⋊C4—134no—
442C2×C4⋊C4—134no—
443C2×C4⋊C4—134no—
444C2×C4⋊C4—134no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—264no—
447C2×C4⋊C4—264no—
448C2×C4⋊C4—264no—
449C2×C4⋊C4—264no—
450C2×C4⋊C4—264no—
451C2×C4⋊C4—264no—
452C2×C4⋊C4—264no—
453C2×C4⋊C4—264no—
454C2×C4⋊C4—264no—
455C2×C4⋊C4—264no—
456C2×C4⋊C4—522no—
457C2×C4⋊C4—522no—
458C2×C4⋊C4—522no—
459C2×C4⋊C4C22×D1314yes—
460C2×C4⋊C4C22×D1314yes—
461C2×C4⋊C4C22×D1314yes—
462C2×C4⋊C4C22×D1314yes—
463C2×C42—42no—
464C2×C42—138no—
465C2×C42—134no—
466C2×C42—134no—
467C2×C42—134no—
468C2×C42—134no—
469C2×C42—264no—
470C2×C42—264no—
471C2×C42—522no—
472C2×C42C22×D1314yes—
473#95—134no—
474#95—134no—
475#95—134no—
476#95—134no—
477#95—134no—
478#95—134no—
479#95—134no—
480#95—134no—
481#95C22×D1314yes—
482#95C22×D1314yes—
483C2×C13#258418yescomplemented
484C2×C13C2×#52511yescharacteristic
485C2×C13C22×C4⋊Q811yescharacteristic
486C2×C13C2×#53711yescharacteristic
487C2×C13C2×#55411yescharacteristic
488C2×C13C2×#55411yescharacteristic
489C2×C13C2×#55711yescharacteristic
490C2×C13C2×#55711yescharacteristic
491C24C23×D1311yescharacteristic
492C2×Q8—268no—
493C2×Q8—268no—
494C2×Q8—2632no—
495C2×Q8—268no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—134no—
514C22×C4—134no—
515C22×C4—134no—
516C22×C4—132no—
517C22×C4—134no—
518C22×C4—134no—
519C22×C4—134no—
520C22×C4—134no—
521C22×C4—132no—
522C22×C4—132no—
523C22×C4—132no—
524C22×C4—132no—
525C22×C4—132no—
526C22×C4—132no—
527C22×C4—132no—
528C22×C4—262no—
529C22×C4—262no—
530C22×C4—262no—
531C22×C4—262no—
532C22×C4—262no—
533C22×C4—262no—
534C22×C4—262no—
535C22×C4—262no—
536C22×C4—262no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—262no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4#612714yes—
546C22×C4D4×D1314yes—
547C22×C4Q8×D1314yes—
548C22×C4Q8×D1314yes—
549C22×C4C23×D1312yes—
550C22×C4C23×D1312yes—
551C22×C4C23×D1312yes—
552C22×C4C23×D1312yes—
553C22×C4C23×D1312yes—
554C22×C4C23×D1312yes—
555C22×C4C23×D1312yes—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—28no—
559C4⋊C4—44no—
560C4⋊C4—1316no—
561C4⋊C4—1316no—
562C4⋊C4—268no—
563C4⋊C4—268no—
564C4⋊C4—268no—
565C4⋊C4—268no—
566C4⋊C4—268no—
567C4⋊C4—268no—
568C4⋊C4—268no—
569C4⋊C4—268no—
570C4⋊C4—268no—
571C4⋊C4—268no—
572C4⋊C4—524no—
573C4⋊C4—524no—
574C4⋊C4—524no—
575C42—44no—
576C42—1316no—
577C42—268no—
578C42—268no—
579C42—524no—
580C13C2×#258411yescharacteristic, complemented, Sylow
581C23C2×#612712yes—
582C23C2×D4×D1312yes—
583C23#8825112yes—
584C23C2×Q8×D1312yes—
585C23C2×Q8×D1312yes—
586C23#41×D1312yes—
587C23#8825712yes—
588C23C24×D1311yescharacteristic
589Q8—2632no—
590C2×C4—28no—
591C2×C4—28no—
592C2×C4—28no—
593C2×C4—28no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—1316no—
615C2×C4—134no—
616C2×C4—134no—
617C2×C4—134no—
618C2×C4—134no—
619C2×C4—134no—
620C2×C4—134no—
621C2×C4—134no—
622C2×C4—268no—
623C2×C4—268no—
624C2×C4—268no—
625C2×C4—268no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—262no—
631C2×C4—262no—
632C2×C4—262no—
633C2×C4—262no—
634C2×C4—262no—
635C2×C4—262no—
636C2×C4—262no—
637C2×C4—262no—
638C2×C4—262no—
639C2×C4—262no—
640C2×C4—262no—
641C2×C4—262no—
642C2×C4—262no—
643C2×C4—524no—
644C2×C4—524no—
645C2×C4—524no—
646C2×C4C2×#612714yes—
647C2×C4C2×D4×D1314yes—
648C2×C4C2×Q8×D1314yes—
649C2×C4C2×Q8×D1314yes—
650C22#1171921614yes—
651C22#1171925214yes—
652C22#1171927214yes—
653C22#1171930214yes—
654C22#1171934114yes—
655C22#1171939014yes—
656C22D13×C4⋊Q814yes—
657C22C22×#612711yescharacteristic
658C22C22×D4×D1311yescharacteristic
659C22C2×#8825111yescharacteristic
660C22C22×Q8×D1311yescharacteristic
661C22C22×Q8×D1311yescharacteristic
662C22C2×#41×D1311yescharacteristic
663C22C2×#8825711yescharacteristic
664C4—24no—
665C4—24no—
666C4—24no—
667C4—24no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—138no—
672C4—264no—
673C4—264no—
674C4—264no—
675C4—264no—
676C4—522no—
677C4—522no—
678C4—522no—
679C2#1312022218yesdirect product factor
680C2C2×#1171925211yescharacteristic
681C2C2×D13×C4⋊Q811yescharacteristic
682C2C2×#1171930211yescharacteristic
683C2C2×#1171934111yescharacteristic
684C2C2×#1171921611yescharacteristic
685C2C2×#1171939011yescharacteristic
686C2C2×#1171927211yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C13×#389C2
socle, prime radicalC24×C13C24
hypercenterC2×#389D13
hypocenterC13C2×#2584
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
3. #13120222C2direct (N × H)
114. C2×#6101Q8semidirect
115. C2×#6101Q8semidirect
232. #6101C2×Q8semidirect
233. #6101C2×Q8semidirect
483. C2×C13#2584semidirect
580. C13C2×#2584semidirect
679. C2#13120222direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#881432
C22×#881412
#131202222
C2×#117183182
C2×#117186452
C2×#117183172
C2×#117186402
C2×#117185892
C2×#117183082
C2×#117186332
C2×C4×#61012
C2×C13×#3892
C2×#258413