Finite Group Databasebeta

← C2×C31×#2005 #21480157

Subgroups — C2×C31×#2005 #21480157

Order 7936.

1998 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#137C211yesmaximal, characteristic
2C2×C31×#536C211yesmaximal, characteristic
3C22×C31×C4⋊Q8C211yesmaximal, characteristic, complemented
4C22×C31×#104C211yesmaximal, characteristic
5C2×C31×#419C211yesmaximal, characteristic, complemented
6C22×C31×#101C211yesmaximal, characteristic, complemented
7C31×#2005C218yesmaximal, direct product factor
8C2×C31×#339C211yesmaximal, characteristic, complemented
9C22×#41×C31C2211yescharacteristic
10C23×Q8×C31C2211yescharacteristic
11C23×Q8×C31C2211yescharacteristic
12C2×C31×#137—22no—
13C2×C31×#137—24no—
14C2×C31×#137—24no—
15C2×C31×#137C2214yes—
16C22×Q16×C31—21no—
17C22×SD16×C31—21no—
18C22×M16×C31C2211yescharacteristic
19C22×M16×C31C2211yescharacteristic
20C31×#536—22no—
21C31×#536—22no—
22C31×#536—22no—
23C31×#536C2214yes—
24C2×C31×C4⋊Q8—24no—
25C2×C31×C4⋊Q8—22no—
26C2×C31×C4⋊Q8—21no—
27C2×C31×C4⋊Q8—24no—
28C2×C31×C4⋊Q8C2214yescomplemented
29C2×C31×#124—21no—
30C2×C31×#123—22no—
31C2×C31×C22⋊Q8—22no—
32C2×C31×#117C2211yescharacteristic
33C22×C4⋊C4×C31—22no—
34C22×C42×C31C2211yescharacteristic
35C2×C31×#104—24no—
36C2×C31×#104C2214yes—
37C31×#419—22no—
38C31×#419C2214yescomplemented
39C2×C31×#103—22no—
40C2×C31×#101—24no—
41C2×C31×#101C2214yescomplemented
42C31×#339C2214yescomplemented
43C2×#41×C31—21no—
44C2×#41×C31—21no—
45C2×#41×C31—22no—
46C2×#41×C31—22no—
47C2×#41×C31—22no—
48C2×#41×C31—22no—
49C2×#41×C31D412yes—
50C2×#41×C31C2312yes—
51C22×Q8×C31—22no—
52C22×Q8×C31—21no—
53C22×Q8×C31—21no—
54C22×Q8×C31—22no—
55C22×Q8×C31—22no—
56C22×Q8×C31—22no—
57C22×Q8×C31—21no—
58C22×Q8×C31—21no—
59C22×Q8×C31—21no—
60C22×Q8×C31—22no—
61C22×Q8×C31—21no—
62C22×Q8×C31—21no—
63C22×Q8×C31—21no—
64C22×Q8×C31—21no—
65C22×Q8×C31—22no—
66C22×Q8×C31—22no—
67C22×Q8×C31D411yescharacteristic
68C22×Q8×C31D414yes—
69C22×Q8×C31D412yes—
70C22×Q8×C31C2312yes—
71C22×Q8×C31C2312yes—
72C22×D4×C31—21no—
73C22×D4×C31D411yescharacteristic
74C23×C4×C31—21no—
75C23×C4×C31—21no—
76C23×C4×C31—21no—
77C23×C4×C31D412yes—
78C23×C4×C31C2311yescharacteristic
79C31×#137—216no—
80C31×#137—28no—
81C31×#137—28no—
82C2×Q16×C31—28no—
83C2×Q16×C31—24no—
84C2×SD16×C31—28no—
85C2×SD16×C31—24no—
86C2×M16×C31—22no—
87C2×M16×C31—21no—
88C2×M16×C31—21no—
89C2×M16×C31—22no—
90C2×M16×C31—22no—
91C2×M16×C31D414yes—
92C2×M16×C31C2312yes—
93C2×M16×C31C2312yes—
94C22×C8×C31—21no—
95C22×C8×C31—21no—
96C31×C4⋊Q8—216no—
97C31×C4⋊Q8—24no—
98C31×C4⋊Q8—28no—
99C31×C4⋊Q8—24no—
100C31×C4⋊Q8—28no—
101C31×#124—24no—
102C31×#124—24no—
103C31×#123—28no—
104C31×#123—28no—
105C31×C22⋊Q8—28no—
106C31×C22⋊Q8—28no—
107C31×#117—21no—
108C31×#117—21no—
109C31×#117D412yes—
110C31×#117C2312yes—
111C2×C4⋊C4×C31—216no—
112C2×C4⋊C4×C31—24no—
113C2×C4⋊C4×C31—28no—
114C2×C4⋊C4×C31D412yes—
115C2×C22⋊C4×C31—24no—
116C2×C22⋊C4×C31—21no—
117C2×C42×C31—21no—
118C2×C42×C31—22no—
119C2×C42×C31—21no—
120C2×C42×C31D414yes—
121C2×C42×C31C2312yes—
122C31×#104—28no—
123C31×#103—28no—
124C31×#101—28no—
125C24×C31—21no—
126C24×C31C2×D411yescharacteristic
127#41×C31—24no—
128#41×C31—24no—
129#41×C31—22no—
130#41×C31—22no—
131#41×C31—22no—
132#41×C31—22no—
133#41×C31—42no—
134#41×C31—42no—
135#41×C31—42no—
136#41×C31—42no—
137C2×Q8×C31—22no—
138C2×Q8×C31—22no—
139C2×Q8×C31—24no—
140C2×Q8×C31—24no—
141C2×Q8×C31—21no—
142C2×Q8×C31—24no—
143C2×Q8×C31—22no—
144C2×Q8×C31—22no—
145C2×Q8×C31—22no—
146C2×Q8×C31—22no—
147C2×Q8×C31—22no—
148C2×Q8×C31—22no—
149C2×Q8×C31—22no—
150C2×Q8×C31—24no—
151C2×Q8×C31—22no—
152C2×Q8×C31—24no—
153C2×Q8×C31—24no—
154C2×Q8×C31—24no—
155C2×Q8×C31—22no—
156C2×Q8×C31—22no—
157C2×Q8×C31—22no—
158C2×Q8×C31—22no—
159C2×Q8×C31—22no—
160C2×Q8×C31—41no—
161C2×Q8×C31—41no—
162C2×Q8×C31—42no—
163C2×Q8×C31—42no—
164C2×Q8×C31—42no—
165C2×Q8×C31—42no—
166C2×Q8×C31—42no—
167C2×Q8×C31—42no—
168C2×Q8×C31—42no—
169C2×Q8×C31—42no—
170C2×Q8×C31—42no—
171C2×Q8×C31—42no—
172C2×Q8×C31—42no—
173C2×Q8×C31—42no—
174C2×Q8×C31—42no—
175C2×Q8×C31C2×D412yes—
176C2×Q8×C31C2×D414yes—
177C2×D4×C31—22no—
178C2×D4×C31—22no—
179C2×D4×C31—22no—
180C2×D4×C31—21no—
181C2×D4×C31—22no—
182C2×D4×C31—42no—
183C2×D4×C31—42no—
184C2×D4×C31C2×D412yes—
185C22×C4×C31—28no—
186C22×C4×C31—24no—
187C22×C4×C31—22no—
188C22×C4×C31—24no—
189C22×C4×C31—24no—
190C22×C4×C31—22no—
191C22×C4×C31—22no—
192C22×C4×C31—22no—
193C22×C4×C31—21no—
194C22×C4×C31—24no—
195C22×C4×C31—22no—
196C22×C4×C31—22no—
197C22×C4×C31—22no—
198C22×C4×C31—41no—
199C22×C4×C31—41no—
200C22×C4×C31—42no—
201C22×C4×C31—42no—
202C22×C4×C31—42no—
203C22×C4×C31C2×D414yes—
204C22×C4×C31C2×D411yescharacteristic
205C22×C4×C31C2×D412yes—
206C22×C4×C31C2×D411yescharacteristic
207C22×C4×C31C2×D411yescharacteristic
208C22×C4×C31C2×D412yes—
209C22×C4×C31C2×D412yes—
210C22×C4×C31C2×D411yescharacteristic
211C22×C4×C31C2×D411yescharacteristic
212C22×C4×C31#4112yes—
213C22×C4×C31C2411yescharacteristic
214Q16×C31—216no—
215SD16×C31—216no—
216M16×C31—24no—
217M16×C31—22no—
218M16×C31—22no—
219M16×C31—22no—
220M16×C31—42no—
221M16×C31C2×D414yes—
222C2×C8×C31—24no—
223C2×C8×C31—22no—
224C2×C8×C31—22no—
225C2×C8×C31—42no—
226C4⋊C4×C31—232no—
227C4⋊C4×C31—216no—
228C4⋊C4×C31—22no—
229C4⋊C4×C31C2×D414yes—
230C22⋊C4×C31—216no—
231C22⋊C4×C31—22no—
232C22⋊C4×C31—22no—
233C42×C31—24no—
234C42×C31—22no—
235C42×C31—22no—
236C42×C31—22no—
237C42×C31C2×D414yes—
238C2×#2005C3111yesmaximal, characteristic, direct product factor, Sylow
239C23×C31—24no—
240C23×C31—22no—
241C23×C31—42no—
242C23×C31—44no—
243C23×C31#12011yescharacteristic
244C23×C31#12012yes—
245C23×C31#12011yescharacteristic
246C23×C31#12112yes—
247C23×C31C22×D411yescharacteristic
248Q8×C31—24no—
249Q8×C31—22no—
250Q8×C31—24no—
251Q8×C31—22no—
252Q8×C31—42no—
253Q8×C31—42no—
254Q8×C31—42no—
255Q8×C31—42no—
256Q8×C31—42no—
257Q8×C31—42no—
258Q8×C31—44no—
259Q8×C31—44no—
260Q8×C31—44no—
261Q8×C31—44no—
262Q8×C31—42no—
263D4×C31—22no—
264D4×C31—22no—
265D4×C31—42no—
266D4×C31—42no—
267D4×C31—44no—
268D4×C31—42no—
269C2×C4×C31—28no—
270C2×C4×C31—216no—
271C2×C4×C31—24no—
272C2×C4×C31—24no—
273C2×C4×C31—24no—
274C2×C4×C31—22no—
275C2×C4×C31—24no—
276C2×C4×C31—24no—
277C2×C4×C31—24no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—44no—
281C2×C4×C31—44no—
282C2×C4×C31—42no—
283C2×C4×C31—44no—
284C2×C4×C31—44no—
285C2×C4×C31—44no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—44no—
289C2×C4×C31#12012yes—
290C2×C4×C31#12012yes—
291C2×C4×C31#12011yescharacteristic
292C2×C4×C31#12012yes—
293C2×C4×C31#12011yescharacteristic
294C2×C4×C31#12112yes—
295C2×C4×C31#12112yes—
296C2×C4×C31#12112yes—
297C2×C4×C31#12112yes—
298C2×C4×C31#12112yes—
299C2×C4×C31#12712yes—
300C2×C4×C31#12712yes—
301C2×C4×C31C22×D411yescharacteristic
302C2×C4×C31C22×D411yescharacteristic
303C2×C4×C31C22×D411yescharacteristic
304C2×C4×C31C22×D411yescharacteristic
305C2×C4×C31C22×D411yescharacteristic
306C2×C4×C31C2×#4111yescharacteristic
307C8×C31—24no—
308C8×C31—42no—
309C22×#137C2×C3111yescharacteristic
310C2×#536C2×C3111yescharacteristic
311C22×C4⋊Q8C2×C3111yescharacteristic, complemented
312C22×#104C2×C3111yescharacteristic
313C2×#419C2×C3111yescharacteristic, complemented
314C22×#101C2×C3111yescharacteristic, complemented
315#2005C2×C3118yesdirect product factor
316C2×#339C2×C3111yescharacteristic, complemented
317C22×C31—22no—
318C22×C31—22no—
319C22×C31—24no—
320C22×C31—24no—
321C22×C31—42no—
322C22×C31—44no—
323C22×C31—84no—
324C22×C31#39212yes—
325C22×C31#39212yes—
326C22×C31#45614yes—
327C22×C31C2×#12011yescharacteristic
328C22×C31C2×#12011yescharacteristic
329C22×C31C2×#12111yescharacteristic
330C4×C31—28no—
331C4×C31—44no—
332C4×C31—42no—
333C4×C31—44no—
334C4×C31—44no—
335C4×C31#39212yes—
336C4×C31#39212yes—
337C4×C31C2×#12011yescharacteristic
338C4×C31C2×#12111yescharacteristic
339C4×C31C2×#12111yescharacteristic
340C4×C31C2×#12711yescharacteristic
341C22×#41C22×C3111yescharacteristic
342C23×Q8C22×C3111yescharacteristic
343C23×Q8C22×C3111yescharacteristic
344C2×#137—22no—
345C2×#137—24no—
346C2×#137—24no—
347C2×#137C22×C3114yes—
348C22×Q16—21no—
349C22×SD16—21no—
350C22×M16C22×C3111yescharacteristic
351C22×M16C22×C3111yescharacteristic
352#536—22no—
353#536—22no—
354#536—22no—
355#536C22×C3114yes—
356C2×C4⋊Q8—24no—
357C2×C4⋊Q8—22no—
358C2×C4⋊Q8—21no—
359C2×C4⋊Q8—24no—
360C2×C4⋊Q8C22×C3114yescomplemented
361C2×#124—21no—
362C2×#123—22no—
363C2×C22⋊Q8—22no—
364C2×#117C22×C3111yescharacteristic
365C22×C4⋊C4—22no—
366C22×C42C22×C3111yescharacteristic
367C2×#104—24no—
368C2×#104C22×C3114yes—
369#419—22no—
370#419C22×C3114yescomplemented
371C2×#103—22no—
372C2×#101—24no—
373C2×#101C22×C3114yescomplemented
374#339C22×C3114yescomplemented
375C2×C31—21no—
376C2×C31—21no—
377C2×C31—22no—
378C2×C31—82no—
379C2×C31#200514yesdirect product factor
380C2×C31C2×#39211yescharacteristic
381C2×C31C2×#45612yes—
382C2×#41—21no—
383C2×#41—21no—
384C2×#41—22no—
385C2×#41—22no—
386C2×#41—22no—
387C2×#41—22no—
388C2×#41D4×C3112yes—
389C2×#41C23×C3112yes—
390C22×Q8—21no—
391C22×Q8—21no—
392C22×Q8—22no—
393C22×Q8—22no—
394C22×Q8—22no—
395C22×Q8—21no—
396C22×Q8—21no—
397C22×Q8—21no—
398C22×Q8—22no—
399C22×Q8—22no—
400C22×Q8—21no—
401C22×Q8—21no—
402C22×Q8—22no—
403C22×Q8—21no—
404C22×Q8—21no—
405C22×Q8—22no—
406C22×Q8D4×C3111yescharacteristic
407C22×Q8D4×C3114yes—
408C22×Q8D4×C3112yes—
409C22×Q8C23×C3112yes—
410C22×Q8C23×C3112yes—
411C22×D4—21no—
412C22×D4D4×C3111yescharacteristic
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—21no—
416C23×C4D4×C3112yes—
417C23×C4C23×C3111yescharacteristic
418#137—216no—
419#137—28no—
420#137—28no—
421C2×Q16—28no—
422C2×Q16—24no—
423C2×SD16—28no—
424C2×SD16—24no—
425C2×M16—22no—
426C2×M16—21no—
427C2×M16—21no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16D4×C3114yes—
431C2×M16C23×C3112yes—
432C2×M16C23×C3112yes—
433C22×C8—21no—
434C22×C8—21no—
435C4⋊Q8—216no—
436C4⋊Q8—24no—
437C4⋊Q8—28no—
438C4⋊Q8—24no—
439C4⋊Q8—28no—
440#124—24no—
441#124—24no—
442#123—28no—
443#123—28no—
444C22⋊Q8—28no—
445C22⋊Q8—28no—
446#117—21no—
447#117—21no—
448#117D4×C3112yes—
449#117C23×C3112yes—
450C2×C4⋊C4—216no—
451C2×C4⋊C4—24no—
452C2×C4⋊C4—28no—
453C2×C4⋊C4D4×C3112yes—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—21no—
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—22no—
459C2×C42D4×C3114yes—
460C2×C42C23×C3112yes—
461#104—28no—
462#103—28no—
463#101—28no—
464C31C2×#200511yescharacteristic, direct product factor, Sylow
465C24—21no—
466C24C2×D4×C3111yescharacteristic
467#41—24no—
468#41—24no—
469#41—22no—
470#41—22no—
471#41—22no—
472#41—22no—
473#41—42no—
474#41—42no—
475#41—42no—
476#41—42no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—24no—
480C2×Q8—24no—
481C2×Q8—21no—
482C2×Q8—24no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—22no—
488C2×Q8—22no—
489C2×Q8—22no—
490C2×Q8—24no—
491C2×Q8—22no—
492C2×Q8—24no—
493C2×Q8—24no—
494C2×Q8—24no—
495C2×Q8—22no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—41no—
501C2×Q8—41no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8—42no—
505C2×Q8—42no—
506C2×Q8—42no—
507C2×Q8—42no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—42no—
511C2×Q8—42no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8C2×D4×C3112yes—
516C2×Q8C2×D4×C3114yes—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4C2×D4×C3112yes—
525C22×C4—28no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—22no—
534C22×C4—24no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4C2×D4×C3114yes—
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C2×D4×C3111yescharacteristic
546C22×C4C2×D4×C3112yes—
547C22×C4C2×D4×C3111yescharacteristic
548C22×C4C2×D4×C3112yes—
549C22×C4C2×D4×C3112yes—
550C22×C4C2×D4×C3111yescharacteristic
551C22×C4C2×D4×C3111yescharacteristic
552C22×C4#41×C3112yes—
553C22×C4C24×C3111yescharacteristic
554Q16—216no—
555SD16—216no—
556M16—24no—
557M16—22no—
558M16—22no—
559M16—22no—
560M16—42no—
561M16C2×D4×C3114yes—
562C2×C8—24no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—42no—
566C4⋊C4—232no—
567C4⋊C4—216no—
568C4⋊C4—22no—
569C4⋊C4C2×D4×C3114yes—
570C22⋊C4—216no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C42—24no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42C2×D4×C3114yes—
578C23—24no—
579C23—22no—
580C23—44no—
581C23—42no—
582C23C31×#12011yescharacteristic
583C23C31×#12012yes—
584C23C31×#12011yescharacteristic
585C23C31×#12112yes—
586C23C22×D4×C3111yescharacteristic
587Q8—24no—
588Q8—22no—
589Q8—24no—
590Q8—22no—
591Q8—42no—
592Q8—42no—
593Q8—42no—
594Q8—42no—
595Q8—42no—
596Q8—42no—
597Q8—44no—
598Q8—44no—
599Q8—44no—
600Q8—44no—
601Q8—42no—
602D4—22no—
603D4—22no—
604D4—42no—
605D4—42no—
606D4—44no—
607D4—42no—
608C2×C4—28no—
609C2×C4—216no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—44no—
628C2×C4C31×#12012yes—
629C2×C4C31×#12012yes—
630C2×C4C31×#12011yescharacteristic
631C2×C4C31×#12012yes—
632C2×C4C31×#12011yescharacteristic
633C2×C4C31×#12112yes—
634C2×C4C31×#12112yes—
635C2×C4C31×#12112yes—
636C2×C4C31×#12112yes—
637C2×C4C31×#12112yes—
638C2×C4C31×#12712yes—
639C2×C4C31×#12712yes—
640C2×C4C22×D4×C3111yescharacteristic
641C2×C4C22×D4×C3111yescharacteristic
642C2×C4C22×D4×C3111yescharacteristic
643C2×C4C22×D4×C3111yescharacteristic
644C2×C4C22×D4×C3111yescharacteristic
645C2×C4C2×#41×C3111yescharacteristic
646C8—24no—
647C8—42no—
648C22—22no—
649C22—22no—
650C22—24no—
651C22—24no—
652C22—42no—
653C22—44no—
654C22—84no—
655C22C31×#39212yes—
656C22C31×#39212yes—
657C22C31×#45614yes—
658C22C2×C31×#12011yescharacteristic
659C22C2×C31×#12011yescharacteristic
660C22C2×C31×#12111yescharacteristic
661C4—28no—
662C4—44no—
663C4—42no—
664C4—44no—
665C4—44no—
666C4C31×#39212yes—
667C4C31×#39212yes—
668C4C2×C31×#12011yescharacteristic
669C4C2×C31×#12111yescharacteristic
670C4C2×C31×#12111yescharacteristic
671C4C2×C31×#12711yescharacteristic
672C2—21no—
673C2—21no—
674C2—22no—
675C2—82no—
676C2C31×#200514yesdirect product factor
677C2C2×C31×#39211yescharacteristic
678C2C2×C31×#45612yes—
subgroupG/H
center, socleC23×C31#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×#41×C31C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C22×C31×C4⋊Q8C2semidirect
5. C2×C31×#419C2semidirect
6. C22×C31×#101C2semidirect
7. C31×#2005C2direct (N × H)
8. C2×C31×#339C2semidirect
28. C2×C31×C4⋊Q8C22semidirect
38. C31×#419C22semidirect
41. C2×C31×#101C22semidirect
42. C31×#339C22semidirect
238. C2×#2005C31direct (N × H)
311. C22×C4⋊Q8C2×C31semidirect
313. C2×#419C2×C31semidirect
314. C22×#101C2×C31semidirect
315. #2005C2×C31direct (N × H)
316. C2×#339C2×C31semidirect
360. C2×C4⋊Q8C22×C31semidirect
370. #419C22×C31semidirect
373. C2×#101C22×C31semidirect
374. #339C22×C31semidirect
379. C2×C31#2005direct (N × H)
464. C31C2×#2005direct (N × H)
676. C2C31×#2005direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1372
C2×C31×#5362
C22×C31×C4⋊Q82
C22×C31×#1042
C2×C31×#4192
C22×C31×#1012
C31×#20052
C2×C31×#3392
C2×#200531