Finite Group Databasebeta

← C2×#13125363 #16732539

Subgroups — C2×#13125363 #16732539

Order 3328.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719394C211yesmaximal, characteristic
2C2×#11719434C211yesmaximal, characteristic
3#13125363C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718537C211yesmaximal, characteristic, complemented
6C2×#11718517C211yesmaximal, characteristic, complemented
7C2×#11718539C211yesmaximal, characteristic, complemented
8C2×#11718725C211yesmaximal, characteristic, complemented
9C2×#11718516C211yesmaximal, characteristic, complemented
10C2×#11718740C211yesmaximal, characteristic, complemented
11C2×#11718542C211yesmaximal, characteristic
12C2×#11718522C211yesmaximal, characteristic
13C2×#11718541C211yesmaximal, characteristic
14C2×D13×#106C211yesmaximal, characteristic
15C2×#11718369C211yesmaximal, characteristic
16C2×C13×#501C211yesmaximal, characteristic, complemented
17C2×C13×C4⋊Q8C2211yescharacteristic
18C2×C13×#125C2211yescharacteristic
19C2×#88200—21no—
20C2×#88198—21no—
21C22×#6094C2211yescharacteristic
22C22×C8×D13C2211yescharacteristic
23#11719434—24no—
24#11719434C2218yes—
25#11719394—24no—
26#11719394C2218yes—
27C2×#88151—21no—
28C2×#88150—21no—
29C2×#88150—21no—
30C2×#88146C2211yescharacteristic
31C2×#88146C2211yescharacteristic
32C2×C4⋊C4×D13C2211yescharacteristic
33C2×C4⋊C4×D13C2211yescharacteristic
34C2×#88144C2211yescharacteristic
35C2×#88144C2211yescharacteristic
36C2×#88143—21no—
37C2×#88143—21no—
38C2×#88142—21no—
39C2×#88142C2211yescharacteristic
40C2×#88142C2211yescharacteristic
41C2×#88126C2211yescharacteristic
42C2×#88124C2211yescharacteristic
43C2×#88123C2211yescharacteristic
44C13×#501C2218yescomplemented
45C2×C13×#107C2211yescharacteristic
46C2×C13×#107C2211yescharacteristic
47C2×C13×#106C2211yescharacteristic
48C2×C13×#106C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×#88058C2211yescharacteristic
51C2×#88058C2211yescharacteristic
52C2×#88057C2211yescharacteristic
53C2×#88057C2211yescharacteristic
54C2×#88055C2211yescharacteristic
55C2×C8×Dic13C2211yescharacteristic
56#11718740C2218yescomplemented
57#11718725C2218yescomplemented
58C2×#88048C2211yescharacteristic
59C2×#88048C2211yescharacteristic
60C2×#88048C2211yescharacteristic
61C2×#88048C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4×#1055C2211yescharacteristic
67#11718542C2218yes—
68#11718541C2218yes—
69#11718539C2218yescomplemented
70#11718537C2218yescomplemented
71#11718522C2218yes—
72D13×#106C2218yes—
73#11718517C2218yescomplemented
74#11718516C2218yescomplemented
75#11718369C2218yes—
76#11718363C2218yescomplemented
77C22×Q8×C13—21no—
78C22×C4×D13—21no—
79C22×C4×D13—21no—
80C22×C4×D13C2311yescharacteristic
81C22×Dic26—21no—
82C22×Dic26—21no—
83C22×Dic26—21no—
84C22×C8×C13C2311yescharacteristic
85C22×C8×C13C2311yescharacteristic
86C13×C4⋊Q8—22no—
87C13×C4⋊Q8C2314yes—
88C13×#125—22no—
89C13×#125C2314yes—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4C2311yescharacteristic
94C2×C13×C4⋊C4C2311yescharacteristic
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C42×C13C2311yescharacteristic
98#88200—28no—
99#88198—28no—
100C2×#6103—21no—
101C2×#6103—21no—
102C2×#6103D411yescharacteristic
103C2×#6103D411yescharacteristic
104C2×C4⋊Dic13—21no—
105C2×C4⋊Dic13—21no—
106C2×C4⋊Dic13—21no—
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4⋊Dic13C2311yescharacteristic
109C2×C4⋊Dic13C2311yescharacteristic
110C2×C4⋊Dic13C2311yescharacteristic
111C2×#6101—21no—
112C2×#6101—21no—
113C2×#6101—21no—
114C2×#6101—21no—
115C2×#6101—21no—
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101D411yescharacteristic
120C2×#6101D411yescharacteristic
121C2×C4×Dic13—21no—
122C2×C4×Dic13—21no—
123C2×C4×Dic13C2311yescharacteristic
124C22×#1055C2311yescharacteristic
125C22×#1055C2311yescharacteristic
126C2×#6094Q818yescomplemented
127C2×#6094C2314yes—
128C2×C8×D13Q818yescomplemented
129C2×C8×D13C2314yes—
130#88151—28no—
131#88150—28no—
132#88150—28no—
133#88146—22no—
134#88146—22no—
135#88146C2314yes—
136#88146C2314yes—
137C4⋊C4×D13—22no—
138C4⋊C4×D13—22no—
139C4⋊C4×D13C2314yes—
140C4⋊C4×D13C2314yes—
141#88144—22no—
142#88144—22no—
143#88144C2314yes—
144#88144C2314yes—
145#88143—28no—
146#88143—28no—
147#88142—28no—
148#88142—22no—
149#88142—22no—
150#88142C2314yes—
151#88142C2314yes—
152#88126D414yes—
153#88126C2314yes—
154#88124—22no—
155#88124C2314yes—
156#88123—22no—
157#88123C2314yes—
158C13×#107C2314yes—
159C13×#107C2314yes—
160C13×#106C2314yes—
161C13×#106C2314yes—
162C13×#97C2314yes—
163#88058C2314yes—
164#88058C2314yes—
165#88057C2314yes—
166#88057C2314yes—
167#88055C2314yes—
168C8×Dic13C2314yes—
169#88048C2314yes—
170#88048C2314yes—
171#88048C2314yes—
172#88048C2314yes—
173#88048C2314yes—
174#88048C2314yes—
175#88047C2314yes—
176#88047C2314yes—
177C4×#1055C2314yes—
178C2×#3163—131nomaximal, Sylow
179C23×D13C2×D411yescharacteristic
180C2×Q8×C13—24no—
181C2×Q8×C13—82no—
182C22×C4×C13—21no—
183C22×C4×C13—21no—
184C22×C4×C13—21no—
185C22×C4×C13—21no—
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2411yescharacteristic
189C22×Dic13—21no—
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13C2×D411yescharacteristic
194C22×Dic13C2×D411yescharacteristic
195C22×Dic13C2×D411yescharacteristic
196C2×C4×D13—24no—
197C2×C4×D13—24no—
198C2×C4×D13—82no—
199C2×C4×D13—82no—
200C2×C4×D13C2×D412yes—
201C2×C4×D13C2×Q814yes—
202C2×C4×D13C2×Q814yes—
203C2×C4×D13C2412yes—
204C2×Dic26—24no—
205C2×Dic26—24no—
206C2×Dic26—24no—
207C2×Dic26—82no—
208C2×Dic26—82no—
209C2×Dic26—82no—
210C2×C8×C13C2×Q814yes—
211C2×C8×C13C2×Q814yes—
212C2×C8×C13C2412yes—
213C2×C8×C13C2412yes—
214C13×C4⋊C4—21no—
215C13×C4⋊C4—21no—
216C13×C4⋊C4—24no—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—24no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4—21no—
221C13×C4⋊C4C2412yes—
222C13×C4⋊C4C2412yes—
223C13×C4⋊C4C2412yes—
224C13×C4⋊C4C2412yes—
225C42×C13C2×D412yes—
226C42×C13C2412yes—
227#6103—24no—
228#6103—24no—
229#6103C2×D414yes—
230#6103C2×D414yes—
231C4⋊Dic13—21no—
232C4⋊Dic13—21no—
233C4⋊Dic13—24no—
234C4⋊Dic13—21no—
235C4⋊Dic13—21no—
236C4⋊Dic13—24no—
237C4⋊Dic13—24no—
238C4⋊Dic13C2412yes—
239C4⋊Dic13C2412yes—
240C4⋊Dic13C2412yes—
241C4⋊Dic13C2412yes—
242#6101—24no—
243#6101—24no—
244#6101—24no—
245#6101—24no—
246#6101—24no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101C2×D414yes—
251#6101C2×D414yes—
252C4×Dic13—24no—
253C4×Dic13—24no—
254C4×Dic13C2×D412yes—
255C4×Dic13C2412yes—
256C2×#1055C2×Q814yes—
257C2×#1055C2×Q814yes—
258C2×#1055C2412yes—
259C2×#1055C2412yes—
260#6094C2×Q8116yescomplemented
261C8×D13C2×Q8116yescomplemented
262C2×#544—131no—
263C2×#544—131no—
264#3163—1316no—
265C2×#501—131no—
266C2×#501—131no—
267C2×#501—131no—
268C2×#501D1311yescharacteristic, complemented
269C2×#499—131no—
270C2×#499—131no—
271C2×#498—131no—
272C2×#498—131no—
273C2×#428—131no—
274C2×#428—131no—
275C2×#427—131no—
276C22×#106—131no—
277C2×#405—131no—
278C23×C13C22×D411yescharacteristic
279C22×D13—22no—
280C22×D13—22no—
281C22×D13C4⋊Q814yes—
282C22×D13C22×D412yes—
283Q8×C13—84no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13C22×D412yes—
295C2×C4×C13C22×D412yes—
296C2×C4×C13C22×D411yescharacteristic
297C2×C4×C13C22×Q812yes—
298C2×C4×C13C22×Q812yes—
299C2×C4×C13C2511yescharacteristic
300C2×Dic13—22no—
301C2×Dic13—22no—
302C2×Dic13—22no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—42no—
307C2×Dic13—42no—
308C2×Dic13—42no—
309C2×Dic13—42no—
310C2×Dic13C4⋊Q814yes—
311C2×Dic13C22×D412yes—
312C2×Dic13C22×D412yes—
313C2×Dic13C22×D412yes—
314C4×D13—84no—
315C4×D13—84no—
316C4×D13C4⋊Q818yes—
317C4×D13C22×Q814yes—
318C4×D13C22×Q814yes—
319Dic26—84no—
320Dic26—84no—
321Dic26—84no—
322C8×C13C22×Q814yes—
323C8×C13C22×Q814yes—
324#1055C22×Q814yes—
325#1055C22×Q814yes—
326C22×M16—131no—
327C23×C8—131no—
328#544—138no—
329#544—138no—
330#544—264no—
331#544—264no—
332C2×C4⋊Q8—131no—
333C2×C4⋊Q8—131no—
334C2×C4⋊Q8—131no—
335C2×C4⋊Q8—261no—
336C2×C4⋊Q8—261no—
337C2×C4⋊Q8C2×D1311yescharacteristic
338C2×#125—131no—
339C2×#125—131no—
340C2×#125—131no—
341C2×#125—261no—
342C2×#125—261no—
343C2×#125C2×D1311yescharacteristic
344C2×C22⋊Q8—261no—
345C2×C22⋊Q8—261no—
346C2×C22⋊Q8—261no—
347C2×C22⋊Q8—261no—
348C2×#117—131no—
349C2×#117—131no—
350C2×#117—131no—
351C22×C4⋊C4—131no—
352C22×C4⋊C4—131no—
353#501—138no—
354#501—138no—
355#501—138no—
356#501C2×D1318yescomplemented
357#499—138no—
358#499—138no—
359#498—138no—
360#498—138no—
361#428—138no—
362#428—138no—
363#427—138no—
364C2×#107—131no—
365C2×#107—131no—
366C2×#107—131no—
367C2×#107—131no—
368C2×#107C2×D1311yescharacteristic
369C2×#107C2×D1311yescharacteristic
370C2×#106—131no—
371C2×#106—131no—
372C2×#106—131no—
373C2×#106—131no—
374C2×#106—131no—
375C2×#106—131no—
376C2×#106—131no—
377C2×#106—131no—
378C2×#106—138no—
379C2×#106C2×D1311yescharacteristic
380C2×#106C2×D1311yescharacteristic
381#405—138no—
382C2×#97—131no—
383C2×#97C2×D1311yescharacteristic
384C2×C4×C8—131no—
385C2×C4×C8—131no—
386C22×C13C2×C4⋊Q812yes—
387C22×C13#57712yes—
388C22×C13#57712yes—
389C22×C13C23×D411yescharacteristic
390C2×D13—28no—
391C2×D13—22no—
392C2×D13—22no—
393C2×D13C2×C4⋊Q814yes—
394C4×C13—22no—
395C4×C13—22no—
396C4×C13—42no—
397C4×C13—42no—
398C4×C13—42no—
399C4×C13—42no—
400C4×C13C2×C4⋊Q812yes—
401C4×C13C23×Q811yescharacteristic
402C4×C13C23×Q811yescharacteristic
403Dic13—22no—
404Dic13—22no—
405Dic13—42no—
406Dic13—42no—
407Dic13—42no—
408Dic13—42no—
409Dic13C2×C4⋊Q814yes—
410C22×Q8—21no—
411C22×Q8—261no—
412C22×Q8—261no—
413C22×Q8—261no—
414C23×C4—131no—
415C23×C4—261no—
416C23×C4—261no—
417C2×M16—138no—
418C2×M16—134no—
419C22×C8—131no—
420C22×C8—131no—
421C22×C8—138no—
422C22×C8—134no—
423C22×C8C22×D1311yescharacteristic
424C22×C8C22×D1311yescharacteristic
425C4⋊Q8—22no—
426C4⋊Q8—134no—
427C4⋊Q8—134no—
428C4⋊Q8—134no—
429C4⋊Q8—262no—
430C4⋊Q8—262no—
431C4⋊Q8—268no—
432C4⋊Q8—268no—
433C4⋊Q8—262no—
434C4⋊Q8C22×D1314yes—
435#125—22no—
436#125—134no—
437#125—134no—
438#125—134no—
439#125—262no—
440#125—262no—
441#125—268no—
442#125—268no—
443#125—262no—
444#125C22×D1314yes—
445C22⋊Q8—268no—
446C22⋊Q8—268no—
447C22⋊Q8—268no—
448C22⋊Q8—268no—
449#117—134no—
450#117—134no—
451#117—134no—
452#117—134no—
453#117—262no—
454#117—262no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—131no—
459C2×C4⋊C4—131no—
460C2×C4⋊C4—131no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—134no—
465C2×C4⋊C4—134no—
466C2×C4⋊C4—262no—
467C2×C4⋊C4—262no—
468C2×C4⋊C4—261no—
469C2×C4⋊C4—261no—
470C2×C4⋊C4—261no—
471C2×C4⋊C4—261no—
472C2×C4⋊C4—261no—
473C2×C4⋊C4—261no—
474C2×C4⋊C4—261no—
475C2×C4⋊C4—261no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4C22×D1311yescharacteristic
480C2×C4⋊C4C22×D1311yescharacteristic
481C2×C4⋊C4C22×D1311yescharacteristic
482C2×C4⋊C4C22×D1311yescharacteristic
483C2×C22⋊C4—131no—
484C2×C22⋊C4—131no—
485C2×C22⋊C4—261no—
486C2×C22⋊C4—261no—
487C2×C42—131no—
488C2×C42—261no—
489C2×C42—261no—
490C2×C42C22×D1311yescharacteristic
491#107—134no—
492#107—134no—
493#107—134no—
494#107—134no—
495#107C22×D1314yes—
496#107C22×D1314yes—
497#106—134no—
498#106—134no—
499#106—134no—
500#106—134no—
501#106—134no—
502#106—134no—
503#106—134no—
504#106—134no—
505#106C22×D1314yes—
506#106C22×D1314yes—
507#97—134no—
508#97C22×D1314yes—
509C4×C8—134no—
510C4×C8—134no—
511C2×C13#316314yescomplemented
512C2×C13C22×C4⋊Q811yescharacteristic
513C2×C13C2×#57711yescharacteristic
514C2×C13C2×#57711yescharacteristic
515D13—24no—
516C24—131no—
517C2×Q8—24no—
518C2×Q8—82no—
519C2×Q8—264no—
520C2×Q8—264no—
521C2×Q8—264no—
522C2×Q8—1042no—
523C2×Q8—1042no—
524C2×Q8—1042no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—131no—
530C22×C4—132no—
531C22×C4—134no—
532C22×C4—134no—
533C22×C4—132no—
534C22×C4—131no—
535C22×C4—131no—
536C22×C4—264no—
537C22×C4—264no—
538C22×C4—261no—
539C22×C4—261no—
540C22×C4—261no—
541C22×C4—261no—
542C22×C4—1042no—
543C22×C4—1042no—
544C22×C4D4×D1311yescharacteristic
545C22×C4D4×D1311yescharacteristic
546C22×C4C23×D1311yescharacteristic
547M16—1316no—
548C2×C8—134no—
549C2×C8—134no—
550C2×C8—132no—
551C2×C8—132no—
552C2×C8—1316no—
553C2×C8Q8×D1314yes—
554C2×C8Q8×D1314yes—
555C2×C8C23×D1312yes—
556C2×C8C23×D1312yes—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—134no—
565C4⋊C4—134no—
566C4⋊C4—132no—
567C4⋊C4—132no—
568C4⋊C4—132no—
569C4⋊C4—132no—
570C4⋊C4—264no—
571C4⋊C4—264no—
572C4⋊C4—264no—
573C4⋊C4—264no—
574C4⋊C4—264no—
575C4⋊C4—264no—
576C4⋊C4—264no—
577C4⋊C4—264no—
578C4⋊C4—261no—
579C4⋊C4—261no—
580C4⋊C4—261no—
581C4⋊C4—261no—
582C4⋊C4—264no—
583C4⋊C4—264no—
584C4⋊C4—264no—
585C4⋊C4C23×D1312yes—
586C4⋊C4C23×D1312yes—
587C4⋊C4C23×D1312yes—
588C4⋊C4C23×D1312yes—
589C22⋊C4—134no—
590C22⋊C4—134no—
591C22⋊C4—264no—
592C22⋊C4—264no—
593C42—132no—
594C42—132no—
595C42—264no—
596C42—264no—
597C42D4×D1312yes—
598C42C23×D1312yes—
599C13C2×#316311yescharacteristic, complemented, Sylow
600C23—134no—
601C23—132no—
602C23—262no—
603C23—262no—
604C23C2×D4×D1311yescharacteristic
605Q8—84no—
606Q8—1044no—
607Q8—1044no—
608Q8—1044no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—134no—
620C2×C4—132no—
621C2×C4—138no—
622C2×C4—134no—
623C2×C4—134no—
624C2×C4—132no—
625C2×C4—132no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—262no—
631C2×C4—262no—
632C2×C4—522no—
633C2×C4—522no—
634C2×C4—522no—
635C2×C4—522no—
636C2×C4—1044no—
637C2×C4—1044no—
638C2×C4C2×D4×D1312yes—
639C2×C4C2×D4×D1312yes—
640C2×C4C2×D4×D1311yescharacteristic
641C2×C4C2×Q8×D1312yes—
642C2×C4C2×Q8×D1312yes—
643C2×C4C24×D1311yescharacteristic
644C8—134no—
645C8—134no—
646C8C2×Q8×D1314yes—
647C8C2×Q8×D1314yes—
648C22—134no—
649C22—262no—
650C22—262no—
651C22—268no—
652C22D13×C4⋊Q812yes—
653C22#1171948012yes—
654C22#1171948312yes—
655C22C22×D4×D1311yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—134no—
663C4—262no—
664C4—262no—
665C4—522no—
666C4—522no—
667C4—522no—
668C4—522no—
669C4D13×C4⋊Q812yes—
670C4C22×Q8×D1311yescharacteristic
671C4C22×Q8×D1311yescharacteristic
672C2—264no—
673C2#1312536314yesdirect product factor
674C2C2×D13×C4⋊Q811yescharacteristic
675C2C2×#1171948311yescharacteristic
676C2C2×#1171948011yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#501C2
socleC23×C13C22×D4
prime radicalC23×D13C2×D4
hypercenterC2×#501D13
hypocenterC13C2×#3163
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #13125363C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718537C2semidirect
6. C2×#11718517C2semidirect
7. C2×#11718539C2semidirect
8. C2×#11718725C2semidirect
9. C2×#11718516C2semidirect
10. C2×#11718740C2semidirect
16. C2×C13×#501C2semidirect
44. C13×#501C22semidirect
56. #11718740C22semidirect
57. #11718725C22semidirect
69. #11718539C22semidirect
70. #11718537C22semidirect
73. #11718517C22semidirect
74. #11718516C22semidirect
76. #11718363C22semidirect
126. C2×#6094Q8semidirect
128. C2×C8×D13Q8semidirect
260. #6094C2×Q8semidirect
261. C8×D13C2×Q8semidirect
268. C2×#501D13semidirect
356. #501C2×D13semidirect
511. C2×C13#3163semidirect
599. C13C2×#3163semidirect
673. C2#13125363direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117193942
C2×#117194342
#131253632
C2×#117183632
C2×#117185372
C2×#117185172
C2×#117185392
C2×#117187252
C2×#117185162
C2×#117187402
C2×#117185422
C2×#117185222
C2×#117185412
C2×D13×#1062
C2×#117183692
C2×C13×#5012
C2×#316313