Finite Group Databasebeta

← #33092558

Subgroups — #33092558

Order 18688.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988818C211yesmaximal, characteristic
2C2×#17988690C211yesmaximal, characteristic, complemented
3C22×#14556501C211yesmaximal, characteristic, complemented
4C22⋊Q8×Dic73C211yesmaximal, characteristic, complemented
5#22612437C211yesmaximal, characteristic
6#22610809C211yesmaximal, characteristic, complemented
7#22610673C211yesmaximal, characteristic, complemented
8#22610629C211yesmaximal, characteristic, complemented
9#22610618C211yesmaximal, characteristic, complemented
10#22610359C211yesmaximal, characteristic
11#22609958C211yesmaximal, characteristic, complemented
12#22609827C211yesmaximal, characteristic, complemented
13#22609763C211yesmaximal, characteristic, complemented
14#22609755C211yesmaximal, characteristic, complemented
15C73×#1892C211yesmaximal, characteristic, complemented
16C22×#11924015C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C2×#14556565C2211yescharacteristic
19C2×Q8×Dic73C2211yescharacteristic
20C2×#14556553C2211yescharacteristic
21C2×#14556551—21no—
22C22×C4×Dic73C2211yescharacteristic
23#17988818C418yescomplemented
24#17988690—24no—
25C2×#14556524C2211yescharacteristic
26C2×#14556524C2211yescharacteristic
27C2×#14556522C2211yescharacteristic
28C2×#14556515C2211yescharacteristic
29C2×#14556513C2211yescharacteristic
30C2×#14556513C2211yescharacteristic
31C2×#14556511C2211yescharacteristic
32C2×#14556501—24no—
33C2×#14556501C2211yescharacteristic
34C2×#14556501C2211yescharacteristic
35C2×#14556501C2211yescharacteristic
36C2×#14556501C2211yescharacteristic
37#17988494C2211yescharacteristic
38#17988488C2211yescharacteristic
39#17988486C2211yescharacteristic
40#17988483C2211yescharacteristic
41#17988476—21no—
42#17988473—21no—
43#17988464—21no—
44#17988462—21no—
45#17988447C2211yescharacteristic
46C4⋊C4×Dic73—21no—
47C4⋊C4×Dic73C2211yescharacteristic
48C4⋊C4×Dic73C2211yescharacteristic
49C22⋊C4×Dic73—21no—
50#17988434—21no—
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C23×C8×C73C2211yescharacteristic
56C2×C22⋊Q8×C73C2211yescharacteristic
57C2×#103×C73C2211yescharacteristic
58C2×#103×C73C2211yescharacteristic
59#380×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×D292C2311yescharacteristic
63C22×C22⋊D73—21no—
64C23×Dic73D411yescharacteristic
65C23×Dic73D411yescharacteristic
66C22×C4×D73—21no—
67C2×#11924015—22no—
68C2×#11924015—22no—
69C2×#11924015C2×C414yescomplemented
70C22×#10596831—22no—
71C22×#10596831—22no—
72C22×#10596831C2×C414yescomplemented
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75#14556565—22no—
76#14556565C2×C414yes—
77Q8×Dic73—22no—
78Q8×Dic73—22no—
79#14556553—22no—
80#14556553—22no—
81#14556551—44no—
82C2×C4⋊Dic73—21no—
83C2×C4⋊Dic73—21no—
84C2×C4⋊Dic73C2311yescharacteristic
85C2×C4⋊Dic73C2311yescharacteristic
86C2×C4⋊Dic73C2311yescharacteristic
87C2×#11924007—21no—
88C2×C22⋊Dic73—21no—
89C2×#11924005—21no—
90C2×#11924005—21no—
91C2×#11924005—21no—
92C2×#11924005—21no—
93C2×C4×Dic73—22no—
94C2×C4×Dic73—22no—
95C2×C4×Dic73—21no—
96C2×C4×Dic73—21no—
97C2×C4×Dic73—21no—
98C2×C4×Dic73D411yescharacteristic
99C2×C4×Dic73D411yescharacteristic
100C2×C4×Dic73C2311yescharacteristic
101C2×C4×Dic73C2311yescharacteristic
102#14556524—22no—
103#14556524—22no—
104#14556522C2×C414yescomplemented
105#14556515C2×C414yescomplemented
106#14556513—22no—
107#14556513—22no—
108#14556511C2×C414yescomplemented
109#14556501—22no—
110#14556501—22no—
111#14556501—22no—
112#14556501D414yescomplemented
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498—21no—
119#14556498—21no—
120C22×Q8×C73C2311yescharacteristic
121C23×C4×C73C2311yescharacteristic
122C22×C8×C73—22no—
123C22×C8×C73—22no—
124C22×C8×C73—22no—
125C22×C8×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C22⋊Q8×C73—22no—
128C22⋊Q8×C73C2×C414yescomplemented
129C2×C4⋊C4×C73—21no—
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C4⋊C4×C73C2311yescharacteristic
132C2×C4⋊C4×C73C2311yescharacteristic
133C2×C22⋊C4×C73—21no—
134C2×C22⋊C4×C73—21no—
135#103×C73—22no—
136#103×C73—22no—
137#95×C73—21no—
138C23×D73—21no—
139C2×D292—21no—
140C2×D292—21no—
141C2×D292—21no—
142C2×D292—21no—
143C2×D292—21no—
144C2×D292C22×C412yes—
145C2×C22⋊D73—24no—
146C2×C22⋊D73—42no—
147C2×C22⋊D73—42no—
148C22×Dic73—22no—
149C22×Dic73—22no—
150C22×Dic73—21no—
151C22×Dic73—22no—
152C22×Dic73—22no—
153C22×Dic73—21no—
154C22×Dic73—21no—
155C22×Dic73—41no—
156C22×Dic73—41no—
157C22×Dic73C2×D411yescharacteristic
158C22×Dic73C2×D411yescharacteristic
159C22×Dic73C2×D411yescharacteristic
160C22×Dic73C2×D411yescharacteristic
161C2×C4×D73—42no—
162C2×C4×D73—42no—
163C2×C4×D73—42no—
164#11924015—28no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831—28no—
168C2×#10596831C22×C412yes—
169C2×#10596831C22×C412yes—
170C2×#10596831C2×D412yes—
171C2×#10596831#4112yes—
172C4⋊Dic73—21no—
173C4⋊Dic73—21no—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—21no—
177C4⋊Dic73—42no—
178C4⋊Dic73—42no—
179C4⋊Dic73C22×C412yes—
180#11924007—42no—
181C22⋊Dic73—42no—
182#11924005—24no—
183#11924005—42no—
184#11924005—42no—
185#11924005—42no—
186C4×Dic73—21no—
187C4×Dic73—21no—
188C4×Dic73—22no—
189C4×Dic73—22no—
190C4×Dic73—42no—
191C4×Dic73—42no—
192C4×Dic73—42no—
193C4×Dic73C2×D412yes—
194C4×Dic73#4112yes—
195C24×C73C2×D411yescharacteristic
196C2×Q8×C73—21no—
197C2×Q8×C73—21no—
198C2×Q8×C73—21no—
199C2×Q8×C73—21no—
200C2×Q8×C73—21no—
201C2×Q8×C73C22×C412yes—
202C22×C4×C73—21no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—21no—
208C22×C4×C73—21no—
209C22×C4×C73—21no—
210C22×C4×C73C22×C412yes—
211C22×C4×C73C2×D411yescharacteristic
212C22×C4×C73#4112yes—
213C22×C4×C73C2411yescharacteristic
214C2×C8×C73—28no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73C2×D412yes—
220C2×C8×C73#4112yes—
221C4⋊C4×C73—24no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73C22×C412yes—
228C22⋊C4×C73—24no—
229C22⋊C4×C73—42no—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73C4×D412yes—
235C23×C73AGL(1,ℤ/8)12yes—
236C23×C73#13712yes—
237C23×C73C22×D411yescharacteristic
238C22×D73—22no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242C22×D73—41no—
243C22×D73—41no—
244C22×D73—41no—
245Q8×C73—22no—
246Q8×C73—22no—
247Q8×C73—41no—
248Q8×C73—41no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73C4×D412yes—
268C2×C4×C73C23×C411yescharacteristic
269C2×C4×C73C22×D411yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73C2×#4111yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C22⋊D73—48no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—22no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—21no—
286C2×Dic73—44no—
287C2×Dic73—44no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73#12112yes—
297C2×Dic73#12112yes—
298D292—22no—
299D292—22no—
300D292—41no—
301D292—41no—
302C4×D73—84no—
303C8×C73—22no—
304C8×C73—22no—
305#10596831—22no—
306#10596831C4×D414yescomplemented
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73#44014yescomplemented
314C22×C73C2×C4×D411yescharacteristic
315C22×C73C2×#12111yescharacteristic
316C22×C73#53211yescharacteristic
317C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C73C2×#13711yescharacteristic
319C22×C73#57511yescharacteristic
320C22×C73#57511yescharacteristic
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—81no—
325C2×D73—81no—
326C2×D73—81no—
327C2×D73—81no—
328C4×C73—22no—
329C4×C73—42no—
330C4×C73—42no—
331C4×C73—81no—
332C4×C73—81no—
333C4×C73C2×C4×D411yescharacteristic
334C4×C73C4×#4111yescharacteristic
335C4×C73#52511yescharacteristic
336C4×C73#52911yescharacteristic
337Dic73—22no—
338Dic73—22no—
339Dic73—42no—
340Dic73—41no—
341Dic73—41no—
342Dic73—81no—
343Dic73—81no—
344#21528—731nomaximal, Sylow
345C2×C73—24no—
346C2×C73C4×#12111yescharacteristic
347C2×C73C2×#44011yescharacteristic
348C2×C73#294311yescharacteristic
349C2×C73#305511yescharacteristic
350C2×C73#305611yescharacteristic
351C2×C73#318011yescharacteristic
352C2×C73#318111yescharacteristic
353D73—82no—
354C2×#465—731no—
355C2×#440—731no—
356C22×#97—731no—
357C4×C22⋊Q8—731no—
358C4×#121—731no—
359#1973—731no—
360#1944—731no—
361#1936—731no—
362#1935—731no—
363#1893—731no—
364#1892D7311yescharacteristic, complemented
365#1808—731no—
366#1776—731no—
367#1763—731no—
368#1762—731no—
369C73#2152811yescharacteristic, complemented, Sylow
370C22×SD16—731no—
371C23×C8—731no—
372C23×C8C2×D7311yescharacteristic
373C2×C22⋊Q8C2×D7311yescharacteristic
374C2×#121—731no—
375C2×C4×Q8—731no—
376C2×C4×D4—731no—
377C2×C4×D4—1461no—
378C22×C42—731no—
379#465—738no—
380#440—1464no—
381C2×#107—731no—
382C2×#107—731no—
383C2×#106—731no—
384C2×#103—731no—
385C2×#103C2×D7311yescharacteristic
386C2×#103C2×D7311yescharacteristic
387C2×#102—731no—
388C2×#102—731no—
389C2×#102—731no—
390C2×#97—731no—
391C2×#97—731no—
392C2×#97—731no—
393C2×#97—731no—
394C2×#97—1464no—
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#388—1461no—
400#387—1461no—
401#386—1461no—
402#385—1461no—
403#380—731no—
404#380C2×D7311yescharacteristic
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C4⋊C4—1461no—
408C4×C22⋊C4—1461no—
409C4×C22⋊C4—1461no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340C2×D7311yescharacteristic
415#340C2×D7311yescharacteristic
416C22×Q8C22×D7311yescharacteristic
417C22×D4—731no—
418C22×D4—1461no—
419C23×C4—731no—
420C23×C4—731no—
421C23×C4—1461no—
422C23×C4C22×D7311yescharacteristic
423C2×SD16—734no—
424C2×SD16—1462no—
425C2×SD16—1462no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—731no—
430C22×C8—734no—
431C22×C8—731no—
432C22×C8—1462no—
433C22×C8—1462no—
434C22×C8C22×D7311yescharacteristic
435C22×C8C22×D7311yescharacteristic
436C22⋊Q8—22no—
437C22⋊Q8C4×D7314yescomplemented
438#121—734no—
439#121—1462no—
440C4×Q8—1462no—
441C4×Q8—1462no—
442C4×D4—2924no—
443C4×D4—1462no—
444C4×D4—1462no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1461no—
452C2×C4⋊C4C22×D7311yescharacteristic
453C2×C4⋊C4C22×D7311yescharacteristic
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C42—731no—
463C2×C42—731no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—1461no—
467C2×C42—1461no—
468C2×C42—1461no—
469C2×C42—1462no—
470C2×C42—1462no—
471#107—1462no—
472#107—1462no—
473#106—734no—
474#103—22no—
475#103—22no—
476#103—734no—
477#102—734no—
478#102—1462no—
479#102—1462no—
480#97—734no—
481#97—1462no—
482#97—1462no—
483#97—1462no—
484#95—21no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95—1461no—
490#95—1461no—
491#95—1461no—
492C24—1461no—
493C24D4×D7311yescharacteristic
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D7312yes—
500C2×D4—2922no—
501C2×D4—2922no—
502C2×D4—732no—
503C2×D4—1464no—
504C2×D4—1461no—
505C2×D4—1461no—
506C2×D4—1461no—
507C2×D4—1461no—
508C2×D4—1461no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—2922no—
518C22×C4—2922no—
519C22×C4—2922no—
520C22×C4—2921no—
521C22×C4—2921no—
522C22×C4—731no—
523C22×C4—731no—
524C22×C4—731no—
525C22×C4—731no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1462no—
529C22×C4—1462no—
530C22×C4—1462no—
531C22×C4—1462no—
532C22×C4—1461no—
533C22×C4C2×C4×D7312yes—
534C22×C4D4×D7311yescharacteristic
535C22×C4#1192402712yes—
536C22×C4C23×D7311yescharacteristic
537SD16—1468no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—732no—
544C2×C8—732no—
545C2×C8—732no—
546C2×C8—732no—
547C2×C8—1468no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8D4×D7312yes—
551C2×C8#1192402712yes—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—2922no—
559C4⋊C4—2922no—
560C4⋊C4—2922no—
561C4⋊C4—732no—
562C4⋊C4—1461no—
563C4⋊C4—1461no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4—1461no—
567C4⋊C4C2×C4×D7312yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—2922no—
571C22⋊C4—2922no—
572C22⋊C4—2922no—
573C22⋊C4—2922no—
574C22⋊C4—1464no—
575C42—2922no—
576C42—2922no—
577C42—2922no—
578C42—732no—
579C42—732no—
580C42—1462no—
581C42—1462no—
582C42—1461no—
583C42—1461no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—2921no—
592C23—2921no—
593C23—2921no—
594C23—1462no—
595C23#1455655112yes—
596C23#1455661812yes—
597C23#1455662312yes—
598C23C2×D4×D7311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—2928no—
604D4—2921no—
605D4—2921no—
606D4—1462no—
607D4—1462no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2924no—
629C2×C4—2924no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—5844no—
637C2×C4—732no—
638C2×C4—732no—
639C2×C4—1461no—
640C2×C4—1461no—
641C2×C4—1461no—
642C2×C4—1462no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4#1455655112yes—
651C2×C4C22×C4×D7311yescharacteristic
652C2×C4C2×D4×D7311yescharacteristic
653C2×C4#41×D7311yescharacteristic
654C2×C4#41×D7311yescharacteristic
655C2×C4C2×#1192402711yescharacteristic
656C2×C4C2×#1192402711yescharacteristic
657C8—22no—
658C8—22no—
659C8—734no—
660C8—1462no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—2922no—
668C22—2922no—
669C22—2922no—
670C22—5841no—
671C22—5841no—
672C22—5841no—
673C22—5841no—
674C22#1798869014yescomplemented
675C22C2×#1455655111yescharacteristic
676C22#121×D7311yescharacteristic
677C22#1798913211yescharacteristic
678C22C2×#1455661811yescharacteristic
679C22C2×#1455662311yescharacteristic
680C22#1798938411yescharacteristic
681C22#1798938411yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—2922no—
688C4—2921no—
689C4—2921no—
690C4—5841no—
691C4—5841no—
692C4—1462no—
693C4—1462no—
694C4C4×D4×D7311yescharacteristic
695C4C4×#1192402711yescharacteristic
696C4#1798909311yescharacteristic
697C4#1798911411yescharacteristic
698C2—24no—
699C2—5842no—
700C2#2261244111yescharacteristic
701C2C2×#1798869011yescharacteristic
702C2#2261872711yescharacteristic
703C2#2261954311yescharacteristic
704C2#2261955811yescharacteristic
705C2#2262062211yescharacteristic
706C2#2262063511yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1892C2
socleC23×C73C22×D4
prime radicalC2×#14556565C22
cosocleC22×C4×C73C24
hypercenter#1892D73
hypocenterC73#21528
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#17988690C2semidirect
3. C22×#14556501C2semidirect
4. C22⋊Q8×Dic73C2semidirect
6. #22610809C2semidirect
7. #22610673C2semidirect
8. #22610629C2semidirect
9. #22610618C2semidirect
11. #22609958C2semidirect
12. #22609827C2semidirect
13. #22609763C2semidirect
14. #22609755C2semidirect
15. C73×#1892C2semidirect
23. #17988818C4semidirect
69. C2×#11924015C2×C4semidirect
72. C22×#10596831C2×C4semidirect
104. #14556522C2×C4semidirect
105. #14556515C2×C4semidirect
108. #14556511C2×C4semidirect
112. #14556501D4semidirect
128. C22⋊Q8×C73C2×C4semidirect
306. #10596831C4×D4semidirect
313. C22×C73#440semidirect
364. #1892D73semidirect
369. C73#21528semidirect
437. C22⋊Q8C4×D73semidirect
674. C22#17988690semidirect

Maximal subgroups

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

subgroupindex
C2×#179888182
C2×#179886902
C22×#145565012
C22⋊Q8×Dic732
#226124372
#226108092
#226106732
#226106292
#226106182
#226103592
#226099582
#226098272
#226097632
#226097552
C73×#18922
#2152873