Finite Group Databasebeta

← C2×#13119786 #16034697

Subgroups — C2×#13119786 #16034697

Order 3328.

4006 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88198C211yesmaximal, characteristic, complemented
2C22×#88151C211yesmaximal, characteristic, complemented
3C22×#88178C211yesmaximal, characteristic, complemented
4C22×#88200C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊D13C211yesmaximal, characteristic
6#13119786C2116yesmaximal, direct product factor
7C2×#11718610C212yesmaximal, complemented
8C2×#11718653C212yesmaximal, complemented
9C2×#11718618C212yesmaximal
10C2×#11718637C212yesmaximal, complemented
11C2×C4⋊C4×Dic13C211yesmaximal, characteristic, complemented
12C22×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
13C23×Q8×C13C2211yescharacteristic
14C24×C4×C13C2211yescharacteristic
15C23×C22⋊D13C2211yescharacteristic
16C23×C4×D13C2211yescharacteristic
17C23×Dic26C2211yescharacteristic
18C2×C13×C22⋊Q8—28no—
19C2×C13×C22⋊Q8C2218yescomplemented
20C22×C13×C4⋊C4C2212yes—
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C13×C22⋊C4C2212yes—
23C22×C22⋊Dic13C2211yescharacteristic
24C22×C22⋊Dic13C2212yes—
25C2×#88200—28no—
26C2×#88200C2218yescomplemented
27C2×#88198—28no—
28C2×#88198C2218yescomplemented
29C2×C4×C22⋊D13—28no—
30C2×C4×C22⋊D13C2218yes—
31C22×#6103C2211yescharacteristic
32C22×#6103C2212yes—
33C22×#6103C2212yes—
34C22×C4⋊Dic13C2212yes—
35C22×C4⋊Dic13C2211yescharacteristic
36C2×#88178—28no—
37C2×#88178C2218yescomplemented
38C22×#6101C2211yescharacteristic
39C22×#6101C2212yes—
40C22×#6101C2212yes—
41C22×#6101C2212yes—
42C22×#6101C2212yes—
43C22×C4×Dic13C2212yes—
44C22×C4×Dic13C2211yescharacteristic
45C2×#88151—28no—
46C2×#88151C2218yescomplemented
47C2×#88071C2212yes—
48#11718653C22116yescomplemented
49#11718637C22116yescomplemented
50C4⋊C4×Dic13C2218yescomplemented
51#11718618C22116yes—
52#11718610C22116yescomplemented
53C25×C13C2311yescharacteristic
54C24×D13C2311yescharacteristic
55C22×Q8×C13—24no—
56C22×Q8×C13—24no—
57C22×Q8×C13—24no—
58C22×Q8×C13C2314yes—
59C23×C4×C13—24no—
60C23×C4×C13—24no—
61C23×C4×C13—24no—
62C23×C4×C13C2312yes—
63C23×C4×C13C2311yescharacteristic
64C23×C4×C13C2314yes—
65C23×C4×C13C2312yes—
66C23×C4×C13C2311yescharacteristic
67C22×C22⋊D13—24no—
68C22×C22⋊D13—24no—
69C22×C22⋊D13Q818yescomplemented
70C22×C22⋊D13C2314yes—
71C23×Dic13C2311yescharacteristic
72C23×Dic13C2312yes—
73C23×Dic13C2312yes—
74C23×Dic13C2311yescharacteristic
75C23×Dic13C2311yescharacteristic
76C22×C4×D13—24no—
77C22×C4×D13—24no—
78C22×C4×D13—24no—
79C22×C4×D13C2314yes—
80C22×Dic26—24no—
81C22×Dic26—24no—
82C22×Dic26—24no—
83C22×Dic26C2314yes—
84C13×C22⋊Q8—232no—
85C2×C13×C4⋊C4—28no—
86C2×C13×C4⋊C4D418yescomplemented
87C2×C13×C4⋊C4C2318yes—
88C2×C13×C4⋊C4C2314yes—
89C2×C13×C22⋊C4—28no—
90C2×C13×C22⋊C4C2318yes—
91C2×C22⋊Dic13—28no—
92C2×C22⋊Dic13—24no—
93C2×C22⋊Dic13C2318yes—
94C2×C22⋊Dic13C2314yes—
95#88200—232no—
96#88198—232no—
97C4×C22⋊D13—232no—
98C2×#6103—28no—
99C2×#6103—24no—
100C2×#6103—28no—
101C2×#6103C2318yes—
102C2×#6103C2314yes—
103C2×#6103C2318yes—
104C2×C4⋊Dic13—28no—
105C2×C4⋊Dic13D418yescomplemented
106C2×C4⋊Dic13C2318yes—
107C2×C4⋊Dic13C2314yes—
108#88178—232no—
109C2×#6101—28no—
110C2×#6101—24no—
111C2×#6101—28no—
112C2×#6101—28no—
113C2×#6101—28no—
114C2×#6101C2318yes—
115C2×#6101C2314yes—
116C2×#6101C2318yes—
117C2×#6101C2318yes—
118C2×#6101C2318yes—
119C2×C4×Dic13—28no—
120C2×C4×Dic13D418yes—
121C2×C4×Dic13C2318yes—
122C2×C4×Dic13C2314yes—
123#88151—232no—
124#88071C2318yes—
125C2×#2542—131nomaximal, Sylow
126C24×C13—22no—
127C24×C13—22no—
128C24×C13—22no—
129C24×C13—22no—
130C24×C13—22no—
131C24×C13—22no—
132C24×C13C2×Q814yes—
133C24×C13C2412yes—
134C24×C13C2411yescharacteristic
135C23×D13—22no—
136C23×D13—22no—
137C23×D13—22no—
138C23×D13—22no—
139C23×D13—22no—
140C23×D13—22no—
141C23×D13C2×Q814yes—
142C23×D13C2412yes—
143C2×Q8×C13—28no—
144C2×Q8×C13—28no—
145C2×Q8×C13—28no—
146C2×Q8×C13—416no—
147C22×C4×C13—24no—
148C22×C4×C13—24no—
149C22×C4×C13—22no—
150C22×C4×C13—24no—
151C22×C4×C13—22no—
152C22×C4×C13—24no—
153C22×C4×C13—24no—
154C22×C4×C13—22no—
155C22×C4×C13—28no—
156C22×C4×C13—28no—
157C22×C4×C13—28no—
158C22×C4×C13—416no—
159C22×C4×C13C2×D414yes—
160C22×C4×C13C2×D414yes—
161C22×C4×C13C2×D418yes—
162C22×C4×C13C2×D414yes—
163C22×C4×C13C2414yes—
164C22×C4×C13C2412yes—
165C22×C4×C13C2414yes—
166C22×C4×C13C2412yes—
167C2×C22⋊D13—232no—
168C2×C22⋊D13—28no—
169C2×C22⋊D13—28no—
170C2×C22⋊D13C2×Q8116yescomplemented
171C22×Dic13—24no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—24no—
175C22×Dic13—24no—
176C22×Dic13—22no—
177C22×Dic13—24no—
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13—24no—
181C22×Dic13C2×D414yes—
182C22×Dic13C2×D418yes—
183C22×Dic13C2×D414yes—
184C22×Dic13C2×Q814yes—
185C22×Dic13#4114yes—
186C22×Dic13C2412yes—
187C22×Dic13C2414yes—
188C22×Dic13C2412yes—
189C22×Dic13C2414yes—
190C22×Dic13C2412yes—
191C2×C4×D13—28no—
192C2×C4×D13—28no—
193C2×C4×D13—28no—
194C2×C4×D13—416no—
195C2×Dic26—28no—
196C2×Dic26—28no—
197C2×Dic26—28no—
198C2×Dic26—416no—
199C13×C4⋊C4—216no—
200C13×C4⋊C4C2×D4116yescomplemented
201C13×C22⋊C4—216no—
202C22⋊Dic13—216no—
203C22⋊Dic13—28no—
204#6103—216no—
205#6103—28no—
206#6103—216no—
207C4⋊Dic13—216no—
208C4⋊Dic13C2×D4116yescomplemented
209#6101—216no—
210#6101—28no—
211#6101—216no—
212#6101—216no—
213#6101—216no—
214C4×Dic13—216no—
215C4×Dic13C2×D4116yes—
216C22×C4⋊Q8—131no—
217C22×C22⋊Q8—131no—
218C22×C22⋊Q8—131no—
219C22×C22⋊Q8—131no—
220C22×C22⋊Q8D1311yescharacteristic, complemented
221C22×C4×D4—131no—
222#2542—1316no—
223C2×#399—132no—
224C2×#399—132no—
225C2×#390—132no—
226C2×#384—132no—
227C2×C4×C4⋊C4—131no—
228C23×C13—28no—
229C23×C13—28no—
230C23×C13—28no—
231C23×C13—22no—
232C23×C13—22no—
233C23×C13—22no—
234C23×C13—22no—
235C23×C13—22no—
236C23×C13—22no—
237C23×C13—44no—
238C23×C13—44no—
239C23×C13—44no—
240C23×C13—44no—
241C23×C13C22×D412yes—
242C23×C13C22×D412yes—
243C23×C13C22×D412yes—
244C23×C13C22×Q814yes—
245C23×C13C22×Q812yes—
246C23×C13C2×#4112yes—
247C23×C132−1+412yes—
248C23×C132−1+412yes—
249C23×C13C2511yescharacteristic
250C22×D13—28no—
251C22×D13—28no—
252C22×D13—28no—
253C22×D13—22no—
254C22×D13—22no—
255C22×D13—22no—
256C22×D13—22no—
257C22×D13—22no—
258C22×D13—22no—
259C22×D13—44no—
260C22×D13—44no—
261C22×D13—44no—
262C22×D13—44no—
263C22×D13C22×Q814yes—
264Q8×C13—416no—
265C2×C4×C13—216no—
266C2×C4×C13—24no—
267C2×C4×C13—24no—
268C2×C4×C13—22no—
269C2×C4×C13—24no—
270C2×C4×C13—22no—
271C2×C4×C13—24no—
272C2×C4×C13—24no—
273C2×C4×C13—22no—
274C2×C4×C13—44no—
275C2×C4×C13—48no—
276C2×C4×C13—416no—
277C2×C4×C13#127116yes—
278C2×C4×C13C22×D418yes—
279C2×C4×C13C22×D414yes—
280C2×C4×C13C22×D414yes—
281C2×C4×C13C22×D414yes—
282C22⋊D13—232no—
283C2×Dic13—28no—
284C2×Dic13—216no—
285C2×Dic13—24no—
286C2×Dic13—22no—
287C2×Dic13—22no—
288C2×Dic13—24no—
289C2×Dic13—24no—
290C2×Dic13—22no—
291C2×Dic13—24no—
292C2×Dic13—22no—
293C2×Dic13—22no—
294C2×Dic13—24no—
295C2×Dic13—48no—
296C2×Dic13—44no—
297C2×Dic13C22⋊Q8116yescomplemented
298C2×Dic13C22×D414yes—
299C2×Dic13C22×D418yes—
300C2×Dic13C22×D414yes—
301C2×Dic13C22×Q814yes—
302C2×Dic13C2×#4114yes—
303C4×D13—416no—
304Dic26—416no—
305C23×Q8—131no—
306C23×Q8C2×D1311yescharacteristic
307C23×D4—131no—
308C24×C4—131no—
309C24×C4C2×D1311yescharacteristic
310C2×C4⋊Q8—138no—
311C2×C4⋊Q8—268no—
312C2×C22⋊Q8—28no—
313C2×C22⋊Q8—138no—
314C2×C22⋊Q8—138no—
315C2×C22⋊Q8—138no—
316C2×C22⋊Q8—268no—
317C2×C22⋊Q8—268no—
318C2×C22⋊Q8—268no—
319C2×C22⋊Q8C2×D1318yescomplemented
320C2×C4×D4—138no—
321C2×C4×D4—268no—
322C22×C4⋊C4—131no—
323C22×C4⋊C4—132no—
324C22×C4⋊C4—132no—
325C22×C4⋊C4—132no—
326C22×C4⋊C4—131no—
327C22×C4⋊C4—132no—
328C22×C4⋊C4—132no—
329C22×C4⋊C4C2×D1312yes—
330C22×C4⋊C4C2×D1311yescharacteristic
331C22×C22⋊C4—131no—
332C22×C22⋊C4—132no—
333C22×C22⋊C4—131no—
334C22×C22⋊C4—132no—
335C22×C22⋊C4—132no—
336C22×C22⋊C4C2×D1312yes—
337C22×C42—131no—
338C22×C42—132no—
339#399—1316no—
340#399—1316no—
341#390—1316no—
342#384—1316no—
343C4×C4⋊C4—138no—
344C2×#95—132no—
345C22×C13—24no—
346C22×C13—24no—
347C22×C13—24no—
348C22×C13—42no—
349C22×C13—42no—
350C22×C13—42no—
351C22×C13—42no—
352C22×C13—416no—
353C22×C13C2×C22⋊Q814yes—
354C22×C13C2×#12714yes—
355C22×C13#53614yes—
356C22×C13#54714yes—
357C22×C13#54714yes—
358C22×C13D4×Q814yes—
359C22×C13D4×Q814yes—
360C22×C13C23×D411yescharacteristic
361C22×C13C23×D411yescharacteristic
362C22×C13C23×D411yescharacteristic
363C22×C13C23×Q811yescharacteristic
364C22×C13C22×#4111yescharacteristic
365C22×C13C2×2−1+411yescharacteristic
366C22×C13C2×2−1+411yescharacteristic
367C2×D13—24no—
368C2×D13—24no—
369C2×D13—24no—
370C2×D13—42no—
371C2×D13—42no—
372C2×D13—42no—
373C2×D13—42no—
374C2×D13—416no—
375C4×C13—28no—
376C4×C13—42no—
377C4×C13—44no—
378C4×C13C2×#12718yes—
379Dic13—24no—
380Dic13—28no—
381Dic13—44no—
382Dic13—42no—
383Dic13C2×C22⋊Q818yescomplemented
384C25—131no—
385C25C22×D1311yescharacteristic
386C22×Q8—24no—
387C22×Q8—24no—
388C22×Q8—24no—
389C22×Q8—134no—
390C22×Q8—264no—
391C22×Q8—264no—
392C22×Q8—264no—
393C22×Q8C22×D1314yes—
394C22×D4—138no—
395C22×D4—134no—
396C22×D4—264no—
397C22×D4—264no—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—131no—
402C23×C4—132no—
403C23×C4—131no—
404C23×C4—132no—
405C23×C4—131no—
406C23×C4—134no—
407C23×C4—264no—
408C23×C4—264no—
409C23×C4—264no—
410C23×C4C22×D1314yes—
411C23×C4C22×D1312yes—
412C23×C4C22×D1311yescharacteristic
413C23×C4C22×D1312yes—
414C23×C4C22×D1311yescharacteristic
415C4⋊Q8—2632no—
416C22⋊Q8—232no—
417C22⋊Q8—2632no—
418C22⋊Q8—2632no—
419C22⋊Q8—2632no—
420C4×D4—2632no—
421C2×C4⋊C4—28no—
422C2×C4⋊C4—138no—
423C2×C4⋊C4—134no—
424C2×C4⋊C4—134no—
425C2×C4⋊C4—138no—
426C2×C4⋊C4—138no—
427C2×C4⋊C4—138no—
428C2×C4⋊C4—138no—
429C2×C4⋊C4—138no—
430C2×C4⋊C4—264no—
431C2×C4⋊C4—268no—
432C2×C4⋊C4—268no—
433C2×C4⋊C4—268no—
434C2×C4⋊C4—268no—
435C2×C4⋊C4—268no—
436C2×C4⋊C4C22⋊D1318yescomplemented
437C2×C4⋊C4C22×D1318yes—
438C2×C4⋊C4C22×D1314yes—
439C2×C22⋊C4—28no—
440C2×C22⋊C4—134no—
441C2×C22⋊C4—138no—
442C2×C22⋊C4—134no—
443C2×C22⋊C4—138no—
444C2×C22⋊C4—138no—
445C2×C22⋊C4—264no—
446C2×C22⋊C4—268no—
447C2×C22⋊C4—264no—
448C2×C22⋊C4—268no—
449C2×C22⋊C4—268no—
450C2×C22⋊C4C22×D1318yes—
451C2×C42—138no—
452C2×C42—134no—
453C2×C42—138no—
454C2×C42—268no—
455#95—138no—
456C2×C13—44no—
457C2×C13#254218yescomplemented
458C2×C13C22×C22⋊Q811yescharacteristic
459C2×C13C22×#12711yescharacteristic
460C2×C13C2×#53611yescharacteristic
461C2×C13C2×#54711yescharacteristic
462C2×C13C2×#54711yescharacteristic
463C2×C13C2×D4×Q811yescharacteristic
464C2×C13C2×D4×Q811yescharacteristic
465D13—44no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—134no—
473C24—132no—
474C24—262no—
475C24—262no—
476C24—262no—
477C24—262no—
478C24—262no—
479C24—262no—
480C24Q8×D1314yes—
481C24C23×D1312yes—
482C24C23×D1311yescharacteristic
483C2×Q8—28no—
484C2×Q8—28no—
485C2×Q8—28no—
486C2×Q8—416no—
487C2×Q8—268no—
488C2×Q8—268no—
489C2×Q8—268no—
490C2×Q8—5216no—
491C2×D4—1316no—
492C2×D4—268no—
493C2×D4—2632no—
494C2×D4—268no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—416no—
507C22×C4—134no—
508C22×C4—134no—
509C22×C4—134no—
510C22×C4—132no—
511C22×C4—134no—
512C22×C4—138no—
513C22×C4—132no—
514C22×C4—134no—
515C22×C4—134no—
516C22×C4—132no—
517C22×C4—262no—
518C22×C4—264no—
519C22×C4—264no—
520C22×C4—262no—
521C22×C4—262no—
522C22×C4—264no—
523C22×C4—262no—
524C22×C4—264no—
525C22×C4—264no—
526C22×C4—262no—
527C22×C4—268no—
528C22×C4—268no—
529C22×C4—268no—
530C22×C4—5216no—
531C22×C4D4×D1314yes—
532C22×C4D4×D1314yes—
533C22×C4C2×C22⋊D1318yes—
534C22×C4C2×C22⋊D1314yes—
535C22×C4C23×D1314yes—
536C22×C4C23×D1312yes—
537C22×C4C23×D1314yes—
538C22×C4C23×D1312yes—
539C4⋊C4—216no—
540C4⋊C4—1316no—
541C4⋊C4—268no—
542C4⋊C4—2616no—
543C4⋊C4—2616no—
544C4⋊C4—2616no—
545C4⋊C4—2616no—
546C4⋊C4—2616no—
547C4⋊C4C2×C22⋊D13116yescomplemented
548C22⋊C4—216no—
549C22⋊C4—268no—
550C22⋊C4—2616no—
551C22⋊C4—268no—
552C22⋊C4—2616no—
553C22⋊C4—2616no—
554C42—1316no—
555C42—2616no—
556C13C2×#254211yescharacteristic, complemented, Sylow
557C23—28no—
558C23—28no—
559C23—28no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—134no—
571C23—268no—
572C23—268no—
573C23—268no—
574C23—262no—
575C23—262no—
576C23—262no—
577C23—262no—
578C23—262no—
579C23—262no—
580C23—524no—
581C23—524no—
582C23—524no—
583C23—524no—
584C23C2×D4×D1312yes—
585C23C2×D4×D1312yes—
586C23C2×Q8×D1314yes—
587C23C2×Q8×D1312yes—
588C23#8825412yes—
589C23#41×D1312yes—
590C23#8825712yes—
591C23C22×C22⋊D1312yes—
592C23C24×D1311yescharacteristic
593Q8—416no—
594Q8—5216no—
595D4—2632no—
596C2×C4—216no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—48no—
607C2×C4—416no—
608C2×C4—1316no—
609C2×C4—134no—
610C2×C4—134no—
611C2×C4—134no—
612C2×C4—134no—
613C2×C4—138no—
614C2×C4—268no—
615C2×C4—2616no—
616C2×C4—264no—
617C2×C4—262no—
618C2×C4—264no—
619C2×C4—262no—
620C2×C4—262no—
621C2×C4—264no—
622C2×C4—262no—
623C2×C4—264no—
624C2×C4—264no—
625C2×C4—262no—
626C2×C4—524no—
627C2×C4—528no—
628C2×C4—5216no—
629C2×C4#88194116yes—
630C2×C4C2×D4×D1314yes—
631C2×C4C2×D4×D1314yes—
632C2×C4C22×C22⋊D1318yes—
633C2×C4C22×C22⋊D1314yes—
634C22—24no—
635C22—24no—
636C22—24no—
637C22—416no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—264no—
643C22—264no—
644C22—264no—
645C22—5216no—
646C22—522no—
647C22—522no—
648C22—522no—
649C22—522no—
650C22D13×C22⋊Q814yes—
651C22#1171933314yes—
652C22#1171933614yes—
653C22#1171933714yes—
654C22C2×#8819414yes—
655C22Q8×C22⋊D1314yes—
656C22#1171952914yes—
657C22C22×D4×D1311yescharacteristic
658C22C22×D4×D1311yescharacteristic
659C22C22×Q8×D1311yescharacteristic
660C22C2×#8825411yescharacteristic
661C22C2×#41×D1311yescharacteristic
662C22C2×#8825711yescharacteristic
663C22C23×C22⋊D1311yescharacteristic
664C4—28no—
665C4—42no—
666C4—44no—
667C4—138no—
668C4—268no—
669C4—264no—
670C4—522no—
671C4—524no—
672C4C2×#8819418yes—
673C2—44no—
674C2—524no—
675C2#1311978618yesdirect product factor
676C2C2×D13×C22⋊Q811yescharacteristic
677C2C22×#8819411yescharacteristic
678C2C2×#1171933311yescharacteristic
679C2C2×#1171952911yescharacteristic
680C2C2×#1171933611yescharacteristic
681C2C2×#1171933711yescharacteristic
682C2C2×Q8×C22⋊D1311yescharacteristic
subgroupG/H
centerC24C23×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC22×C13×C22⋊Q8C2
socleC24×C13C24
prime radicalC23×C22⋊D13C22
hypercenterC22×C22⋊Q8D13
hypocenterC13C2×#2542
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#88198C2semidirect
2. C22×#88151C2semidirect
3. C22×#88178C2semidirect
4. C22×#88200C2semidirect
6. #13119786C2direct (N × H)
7. C2×#11718610C2semidirect
8. C2×#11718653C2semidirect
10. C2×#11718637C2semidirect
11. C2×C4⋊C4×Dic13C2semidirect
12. C22×C13×C22⋊Q8C2semidirect
19. C2×C13×C22⋊Q8C22semidirect
26. C2×#88200C22semidirect
28. C2×#88198C22semidirect
37. C2×#88178C22semidirect
46. C2×#88151C22semidirect
48. #11718653C22semidirect
49. #11718637C22semidirect
50. C4⋊C4×Dic13C22semidirect
52. #11718610C22semidirect
69. C22×C22⋊D13Q8semidirect
86. C2×C13×C4⋊C4D4semidirect
105. C2×C4⋊Dic13D4semidirect
170. C2×C22⋊D13C2×Q8semidirect
200. C13×C4⋊C4C2×D4semidirect
208. C4⋊Dic13C2×D4semidirect
220. C22×C22⋊Q8D13semidirect
297. C2×Dic13C22⋊Q8semidirect
319. C2×C22⋊Q8C2×D13semidirect
383. Dic13C2×C22⋊Q8semidirect
436. C2×C4⋊C4C22⋊D13semidirect
457. C2×C13#2542semidirect
547. C4⋊C4C2×C22⋊D13semidirect
556. C13C2×#2542semidirect
675. C2#13119786direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#881982
C22×#881512
C22×#881782
C22×#882002
C22×C4×C22⋊D132
#131197862
C2×#117186102
C2×#117186532
C2×#117186182
C2×#117186372
C2×C4⋊C4×Dic132
C22×C13×C22⋊Q82
C2×#254213