Finite Group Databasebeta

← #33008374

Subgroups — #33008374

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D73C211yesmaximal, characteristic
2C2×#17988444C211yesmaximal, characteristic
3C2×#17988434C211yesmaximal, characteristic
4#22608185C211yesmaximal, characteristic, complemented
5#22608184C211yesmaximal, characteristic, complemented
6#22608181C211yesmaximal, characteristic, complemented
7#22608165C212yesmaximal, complemented
8#22608162C212yesmaximal, complemented
9#22608152C212yesmaximal
10#22608152C212yesmaximal
11C73×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D73C2211yescharacteristic
13C23×C4×D73C2211yescharacteristic
14C23×C4×D73C2211yescharacteristic
15C22×C4⋊Dic73C2211yescharacteristic
16C22×C4⋊Dic73C2211yescharacteristic
17C22×#11924007C2211yescharacteristic
18C22×#11924007C2211yescharacteristic
19C2×C4⋊C4×D73—24no—
20C2×C4⋊C4×D73—24no—
21C2×C4⋊C4×D73C418yescomplemented
22C22×#11924005C2212yes—
23C22×#11924005C2212yes—
24C22×C4×Dic73C2212yes—
25#17988444—24no—
26#17988434—24no—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C2×#14556498C2211yescharacteristic
32C2×#14556498C2212yes—
33C2×#14556498C2212yes—
34C2×#14556498C2212yes—
35C22×C4⋊C4×C73C2211yescharacteristic
36C22×C4⋊C4×C73C2211yescharacteristic
37C2×#95×C73C2212yes—
38C2×#95×C73C2211yescharacteristic
39C2×#95×C73C2212yes—
40C24×D73C2311yescharacteristic
41C23×Dic73C2312yes—
42C23×Dic73C2311yescharacteristic
43C23×Dic73C2312yes—
44C23×Dic73C2311yescharacteristic
45C23×Dic73C2311yescharacteristic
46C22×C4×D73—22no—
47C22×C4×D73—22no—
48C22×C4×D73—22no—
49C22×C4×D73—22no—
50C22×C4×D73—22no—
51C22×C4×D73—22no—
52C22×C4×D73—22no—
53C22×C4×D73—22no—
54C22×C4×D73—42no—
55C22×C4×D73—42no—
56C22×C4×D73—42no—
57C22×C4×D73—42no—
58C22×C4×D73C2×C414yes—
59C22×C4×D73C2×C414yes—
60C22×C4×D73C2×C414yes—
61C22×C4×D73D414yes—
62C22×C4×D73D414yes—
63C2×C4⋊Dic73—22no—
64C2×C4⋊Dic73—22no—
65C2×C4⋊Dic73—22no—
66C2×C4⋊Dic73—42no—
67C2×C4⋊Dic73C2×C414yes—
68C2×#11924007—22no—
69C2×#11924007—22no—
70C2×#11924007—22no—
71C2×#11924007—22no—
72C2×#11924007C2×C414yes—
73C2×#11924007C2×C414yes—
74C4⋊C4×D73—232no—
75C2×#11924005—24no—
76C2×#11924005—24no—
77C2×#11924005—24no—
78C2×#11924005—24no—
79C2×#11924005—24no—
80C2×#11924005Q818yes—
81C2×C4×Dic73—24no—
82C2×C4×Dic73—42no—
83C2×C4×Dic73—42no—
84#14556498—24no—
85#14556498—24no—
86#14556498—24no—
87#14556498—22no—
88#14556498—24no—
89#14556498—42no—
90#14556498—42no—
91#14556498—42no—
92C23×C4×C73C2312yes—
93C23×C4×C73C2311yescharacteristic
94C23×C4×C73C2312yes—
95C23×C4×C73C2311yescharacteristic
96C23×C4×C73C2311yescharacteristic
97C2×C4⋊C4×C73—22no—
98C2×C4⋊C4×C73—22no—
99C2×C4⋊C4×C73—22no—
100C2×C4⋊C4×C73—42no—
101C2×C4⋊C4×C73C2×C414yes—
102#95×C73—22no—
103#95×C73—24no—
104#95×C73—42no—
105C23×D73—21no—
106C23×D73—21no—
107C23×D73—21no—
108C23×D73—21no—
109C23×D73—22no—
110C23×D73—22no—
111C23×D73C22×C412yes—
112C23×D73C2×D412yes—
113C23×D73C2×D412yes—
114C23×D73C2×Q814yes—
115C23×D73#4114yes—
116C22×Dic73—21no—
117C22×Dic73—21no—
118C22×Dic73—21no—
119C22×Dic73—21no—
120C22×Dic73—22no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—21no—
124C22×Dic73—21no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73—22no—
129C22×Dic73—22no—
130C22×Dic73—22no—
131C22×Dic73—22no—
132C22×Dic73—22no—
133C22×Dic73—22no—
134C22×Dic73—22no—
135C22×Dic73—22no—
136C22×Dic73—22no—
137C22×Dic73—22no—
138C22×Dic73—22no—
139C22×Dic73C22×C412yes—
140C22×Dic73C22×C412yes—
141C22×Dic73C22×C412yes—
142C22×Dic73C2×D412yes—
143C22×Dic73C2×D412yes—
144C22×Dic73C2×Q814yes—
145C22×Dic73#4112yes—
146C22×Dic73#4112yes—
147C2×C4×D73—28no—
148C2×C4×D73—28no—
149C2×C4×D73—28no—
150C2×C4×D73—28no—
151C2×C4×D73—28no—
152C2×C4×D73—28no—
153C2×C4×D73—28no—
154C2×C4×D73—28no—
155C2×C4×D73—48no—
156C2×C4×D73—48no—
157C2×C4×D73—48no—
158C2×C4×D73—44no—
159C2×C4×D73—44no—
160C2×C4×D73—48no—
161C2×C4×D73—44no—
162C2×C4×D73—44no—
163C2×C4×D73C22⋊C4116yes—
164C4⋊Dic73—28no—
165C4⋊Dic73—44no—
166#11924007—28no—
167#11924007—28no—
168#11924005—216no—
169#11924005—48no—
170C4×Dic73—48no—
171C24×C73C2411yescharacteristic
172C22×C4×C73—21no—
173C22×C4×C73—21no—
174C22×C4×C73—21no—
175C22×C4×C73—21no—
176C22×C4×C73—22no—
177C22×C4×C73—22no—
178C22×C4×C73—22no—
179C22×C4×C73—21no—
180C22×C4×C73—21no—
181C22×C4×C73—22no—
182C22×C4×C73—22no—
183C22×C4×C73—22no—
184C22×C4×C73—22no—
185C22×C4×C73—22no—
186C22×C4×C73—22no—
187C22×C4×C73—22no—
188C22×C4×C73—22no—
189C22×C4×C73—22no—
190C22×C4×C73—22no—
191C22×C4×C73—22no—
192C22×C4×C73—22no—
193C22×C4×C73—22no—
194C22×C4×C73—22no—
195C22×C4×C73C22×C412yes—
196C22×C4×C73C22×C412yes—
197C22×C4×C73C22×C412yes—
198C22×C4×C73C2×D412yes—
199C22×C4×C73C2×D412yes—
200C22×C4×C73C2×Q814yes—
201C22×C4×C73#4112yes—
202C22×C4×C73#4112yes—
203C4⋊C4×C73—28no—
204C4⋊C4×C73—44no—
205C23×C73C23×C411yescharacteristic
206C23×C73C22×D411yescharacteristic
207C23×C73C22×D411yescharacteristic
208C23×C73C22×Q812yes—
209C23×C73C2×#4111yescharacteristic
210C23×C73C2×#4111yescharacteristic
211C23×C73C2×#4112yes—
212C23×C73C2×#4111yescharacteristic
213C23×C73C2×#4111yescharacteristic
214C23×C73H(5,𝔽2)12yes—
215C23×C73H(5,𝔽2)12yes—
216C22×D73—22no—
217C22×D73—22no—
218C22×D73—24no—
219C22×D73—22no—
220C22×D73—22no—
221C22×D73—22no—
222C22×D73—22no—
223C22×D73—24no—
224C22×D73—22no—
225C22×D73—22no—
226C22×D73—24no—
227C22×D73—24no—
228C22×D73—24no—
229C22×D73—24no—
230C22×D73—24no—
231C22×D73—24no—
232C22×D73—24no—
233C22×D73—24no—
234C22×D73C2×C22⋊C414yes—
235C22×D73C4×Q818yes—
236C22×D73C22⋊Q818yes—
237C22×D73#12414yes—
238C22×D73C4⋊Q814yes—
239C2×C4×C73—22no—
240C2×C4×C73—22no—
241C2×C4×C73—24no—
242C2×C4×C73—22no—
243C2×C4×C73—22no—
244C2×C4×C73—22no—
245C2×C4×C73—22no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—24no—
249C2×C4×C73—22no—
250C2×C4×C73—24no—
251C2×C4×C73—24no—
252C2×C4×C73—24no—
253C2×C4×C73—24no—
254C2×C4×C73—42no—
255C2×C4×C73—42no—
256C2×C4×C73—42no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—42no—
260C2×C4×C73—42no—
261C2×C4×C73—42no—
262C2×C4×C73—42no—
263C2×C4×C73—42no—
264C2×C4×C73—42no—
265C2×C4×C73—42no—
266C2×C4×C73—42no—
267C2×C4×C73—42no—
268C2×C4×C73C2×C22⋊C414yes—
269C2×C4×C73#11714yes—
270C2×Dic73—22no—
271C2×Dic73—22no—
272C2×Dic73—24no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
276C2×Dic73—22no—
277C2×Dic73—24no—
278C2×Dic73—22no—
279C2×Dic73—22no—
280C2×Dic73—22no—
281C2×Dic73—24no—
282C2×Dic73—24no—
283C2×Dic73—24no—
284C2×Dic73—24no—
285C2×Dic73—42no—
286C2×Dic73—42no—
287C2×Dic73—42no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—42no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73C2×C22⋊C414yes—
300C2×Dic73#11714yes—
301C4×D73—232no—
302C4×D73—416no—
303C4×D73—416no—
304C22×C73C22×C22⋊C411yescharacteristic
305C22×C73C2×#11711yescharacteristic
306C22×C73C2×#11711yescharacteristic
307C22×C73C2×C4×Q812yes—
308C22×C73#51812yes—
309C22×C73C2×C22⋊Q812yes—
310C22×C73#52511yescharacteristic
311C22×C73#52511yescharacteristic
312C22×C73#52511yescharacteristic
313C22×C73#52511yescharacteristic
314C22×C73C2×#12411yescharacteristic
315C22×C73C2×C4⋊Q811yescharacteristic
316C22×C73#53412yes—
317C22×C73#53411yescharacteristic
318C22×C73#53411yescharacteristic
319C22×C73#55312yes—
320C22×C73#55312yes—
321C22×C73#55312yes—
322C22×C73#55312yes—
323C22×C73#55412yes—
324C22×C73#55412yes—
325C22×C73#55412yes—
326C22×C73#55412yes—
327C2×D73—24no—
328C2×D73—28no—
329C2×D73—28no—
330C2×D73—24no—
331C2×D73—24no—
332C2×D73—24no—
333C2×D73—24no—
334C2×D73—28no—
335C2×D73—28no—
336C2×D73—24no—
337C2×D73#39118yes—
338C4×C73—24no—
339C4×C73—24no—
340C4×C73—42no—
341C4×C73—44no—
342C4×C73—82no—
343Dic73—24no—
344Dic73—24no—
345Dic73—42no—
346Dic73—44no—
347Dic73—82no—
348#13923—731nomaximal, Sylow
349C2×C73#228011yescharacteristic
350C2×C73C2×#39111yescharacteristic
351C2×C73#230811yescharacteristic
352C2×C73#234512yes—
353C2×C73#234512yes—
354C2×C73#257912yes—
355C2×C73#257912yes—
356C2×C73#258311yescharacteristic
357C2×C73#258311yescharacteristic
358C2×C73#259111yescharacteristic
359C2×C73#259111yescharacteristic
360D73—28no—
361C23×C4⋊C4—731no—
362C2×#380—731no—
363C2×C4×C22⋊C4—731no—
364#1441—731no—
365#1441—731no—
366#1441—731no—
367#1441D7311yescharacteristic, complemented
368#1436—732no—
369#1436—732no—
370C22⋊#95—732no—
371C22⋊#95—732no—
372C73#1392311yescharacteristic, complemented, Sylow
373C24×C4—731no—
374C24×C4—731no—
375C24×C4—731no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4—731no—
378C22×C4⋊C4—731no—
379C22×C4⋊C4—731no—
380C22×C4⋊C4—738no—
381C22×C4⋊C4—1464no—
382C22×C4⋊C4—1464no—
383C22×C4⋊C4C2×D7311yescharacteristic
384C22×C4⋊C4C2×D7311yescharacteristic
385C22×C22⋊C4—732no—
386C22×C22⋊C4—732no—
387C22×C42—732no—
388#380—1464no—
389C4×C22⋊C4—1464no—
390C2×#95—732no—
391C2×#95—732no—
392C2×#95—732no—
393C2×#95—732no—
394C2×#95—732no—
395C2×#95—732no—
396C2×#95—732no—
397C2×#95—731no—
398C2×#95C2×D7312yes—
399C2×#95C2×D7311yescharacteristic
400C2×#95C2×D7312yes—
401C25—731no—
402C23×C4—2922no—
403C23×C4—2922no—
404C23×C4—2922no—
405C23×C4—2922no—
406C23×C4—734no—
407C23×C4—734no—
408C23×C4—734no—
409C23×C4—734no—
410C23×C4—731no—
411C23×C4—731no—
412C23×C4—732no—
413C23×C4—731no—
414C23×C4—734no—
415C23×C4—732no—
416C23×C4—1462no—
417C23×C4—1462no—
418C23×C4—1462no—
419C23×C4—1462no—
420C23×C4—1462no—
421C23×C4—1462no—
422C23×C4—1462no—
423C23×C4—1462no—
424C23×C4C22×D7312yes—
425C23×C4C22×D7311yescharacteristic
426C23×C4C22×D7312yes—
427C23×C4C22×D7311yescharacteristic
428C23×C4C22×D7311yescharacteristic
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—42no—
433C2×C4⋊C4—2922no—
434C2×C4⋊C4—734no—
435C2×C4⋊C4—734no—
436C2×C4⋊C4—734no—
437C2×C4⋊C4—14632no—
438C2×C4⋊C4—1462no—
439C2×C4⋊C4—1462no—
440C2×C4⋊C4—1462no—
441C2×C4⋊C4—1462no—
442C2×C4⋊C4—1462no—
443C2×C4⋊C4—1462no—
444C2×C4⋊C4—1462no—
445C2×C4⋊C4C4×D7314yes—
446C2×C22⋊C4—738no—
447C2×C22⋊C4—1464no—
448C2×C22⋊C4—1464no—
449C2×C22⋊C4—1464no—
450C2×C22⋊C4—1464no—
451C2×C22⋊C4—1464no—
452C2×C42—2922no—
453C2×C42—2922no—
454C2×C42—1464no—
455#95—22no—
456#95—24no—
457#95—42no—
458#95—2922no—
459#95—2922no—
460#95—2922no—
461#95—1464no—
462#95—1464no—
463#95—1464no—
464#95—1462no—
465#95—1464no—
466C24—732no—
467C24—732no—
468C24—732no—
469C24—734no—
470C24—734no—
471C24—1461no—
472C24—1461no—
473C24—1461no—
474C24—1461no—
475C24—1462no—
476C24—1462no—
477C24C23×D7311yescharacteristic
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—2928no—
502C22×C4—2924no—
503C22×C4—2924no—
504C22×C4—2928no—
505C22×C4—2928no—
506C22×C4—2928no—
507C22×C4—2924no—
508C22×C4—2924no—
509C22×C4—7316no—
510C22×C4—732no—
511C22×C4—732no—
512C22×C4—732no—
513C22×C4—732no—
514C22×C4—732no—
515C22×C4—732no—
516C22×C4—732no—
517C22×C4—734no—
518C22×C4—1468no—
519C22×C4—1468no—
520C22×C4—1468no—
521C22×C4—1468no—
522C22×C4—1468no—
523C22×C4—1468no—
524C22×C4—1468no—
525C22×C4—1462no—
526C22×C4—1462no—
527C22×C4—1462no—
528C22×C4—1462no—
529C22×C4—1462no—
530C22×C4—1462no—
531C22×C4—1462no—
532C22×C4—1462no—
533C22×C4—1461no—
534C22×C4—1461no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1462no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4—1462no—
541C22×C4—1462no—
542C22×C4—1461no—
543C22×C4—1461no—
544C22×C4—1461no—
545C22×C4—1461no—
546C22×C4—1462no—
547C22×C4—1462no—
548C22×C4—1468no—
549C22×C4C2×C4×D7312yes—
550C22×C4C2×C4×D7312yes—
551C22×C4C2×C4×D7312yes—
552C22×C4D4×D7312yes—
553C22×C4D4×D7312yes—
554C22×C4Q8×D7314yes—
555C22×C4#1192402712yes—
556C22×C4#1192402912yes—
557C4⋊C4—28no—
558C4⋊C4—44no—
559C4⋊C4—2924no—
560C4⋊C4—1468no—
561C4⋊C4—1468no—
562C4⋊C4—1468no—
563C22⋊C4—2928no—
564C22⋊C4—14616no—
565C42—2928no—
566C23—734no—
567C23—734no—
568C23—738no—
569C23—738no—
570C23—734no—
571C23—1464no—
572C23—1462no—
573C23—1462no—
574C23—1464no—
575C23—1464no—
576C23—1464no—
577C23—1464no—
578C23—1464no—
579C23—1464no—
580C23—1462no—
581C23—1464no—
582C23—1462no—
583C23—1464no—
584C23—1464no—
585C23—1462no—
586C23—1462no—
587C23—1462no—
588C23—1462no—
589C23C22×C4×D7311yescharacteristic
590C23C2×D4×D7311yescharacteristic
591C23C2×D4×D7311yescharacteristic
592C23C2×Q8×D7312yes—
593C23#41×D7311yescharacteristic
594C23#41×D7312yes—
595C23#41×D7311yescharacteristic
596C23C2×#1192402711yescharacteristic
597C23C2×#1192402911yescharacteristic
598C23#1455663612yes—
599C23#1455663712yes—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—29216no—
630C2×C4—29216no—
631C2×C4—2922no—
632C2×C4—2922no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2922no—
636C2×C4—2922no—
637C2×C4—2922no—
638C2×C4—2922no—
639C2×C4—2922no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—2922no—
643C2×C4—2922no—
644C2×C4—2922no—
645C2×C4—734no—
646C2×C4—734no—
647C2×C4—14632no—
648C2×C4—1462no—
649C2×C4—1464no—
650C2×C4—1464no—
651C2×C4—1464no—
652C2×C4—1464no—
653C2×C4—1464no—
654C2×C4—1462no—
655C2×C4—1462no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1464no—
659C2×C4—1462no—
660C2×C4—1462no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4C22⋊C4×D7314yes—
664C2×C4#1455654914yes—
665C22—738no—
666C22—1464no—
667C22—1464no—
668C22—1464no—
669C22—1468no—
670C22—1468no—
671C22—1464no—
672C22—1464no—
673C22—1464no—
674C22—1468no—
675C22—1468no—
676C22C2×C22⋊C4×D7311yescharacteristic
677C22#117×D7311yescharacteristic
678C22C2×#1455654911yescharacteristic
679C22C4×Q8×D7312yes—
680C22#1798905912yes—
681C22C22⋊Q8×D7312yes—
682C22#1798909711yescharacteristic
683C22#1798909711yescharacteristic
684C22#1798910011yescharacteristic
685C22#1798910011yescharacteristic
686C22#124×D7311yescharacteristic
687C22C4⋊Q8×D7311yescharacteristic
688C22#1798914512yes—
689C22#1798914711yescharacteristic
690C22#1798914811yescharacteristic
691C22#1798928212yes—
692C22#1798928412yes—
693C22#1798928812yes—
694C22#1798929012yes—
695C22#1798929112yes—
696C22#1798929312yes—
697C22#1798929512yes—
698C22#1798929812yes—
699C4—24no—
700C4—24no—
701C4—42no—
702C4—44no—
703C4—82no—
704C4—2922no—
705C4—2924no—
706C4—5842no—
707C4—1464no—
708C4—1464no—
709C2—1468no—
710C2#2261231311yescharacteristic
711C2#391×D7311yescharacteristic
712C2#2261250511yescharacteristic
713C2#2261280512yes—
714C2#2261280712yes—
715C2#2261527312yes—
716C2#2261527912yes—
717C2#2261530511yescharacteristic
718C2#2261530711yescharacteristic
719C2#2261540511yescharacteristic
720C2#2261540711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC73×#1441C2
socle, cosocleC24×C73C24
prime radicalC24×D73C23
hypercenter#1441D73
hypocenterC73#13923
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #22608185C2semidirect
5. #22608184C2semidirect
6. #22608181C2semidirect
7. #22608165C2semidirect
8. #22608162C2semidirect
11. C73×#1441C2semidirect
21. C2×C4⋊C4×D73C4semidirect
367. #1441D73semidirect
372. C73#13923semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D732
C2×#179884442
C2×#179884342
#226081852
#226081842
#226081812
#226081652
#226081622
#226081522
C73×#14412
#1392373