Finite Group Databasebeta

← C73×#8436 #32917840

Subgroups — C73×#8436 #32917840

Order 18688.

1050 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C73C211yesmaximal, characteristic
2C73×#1806C211yesmaximal, characteristic, complemented
3C4×#102×C73C211yesmaximal, characteristic, complemented
4C73×#1502C211yesmaximal, characteristic, complemented
5C73×#1492C211yesmaximal, characteristic, complemented
6C73×#1486C211yesmaximal, characteristic, complemented
7C73×#1476C211yesmaximal, characteristic, complemented
8C22×#41×C73—21no—
9#550×C73C411yescharacteristic, complemented
10D4×Q8×C73C411yescharacteristic, complemented
11#548×C73—21no—
12#547×C73—21no—
13#547×C73C411yescharacteristic, complemented
14#546×C73—22no—
15#546×C73—21no—
16D42×C73—21no—
17D42×C73C411yescharacteristic, complemented
18#532×C73—21no—
19#532×C73C2211yescharacteristic
20#525×C73—22no—
21#525×C73—21no—
22C4×#41×C73C2211yescharacteristic
23C2×C4×D4×C73—21no—
24C2×C4×D4×C73C2211yescharacteristic
25#431×C73C2211yescharacteristic, complemented
26#423×C73C2211yescharacteristic, complemented
27C2×#104×C73—21no—
28C2×#102×C73—21no—
29C2×C4×C8×C73C2211yescharacteristic, complemented
30C4×C4⋊C4×C73C2211yescharacteristic, complemented
31#340×C73—21no—
32#339×C73—21no—
33#327×C73—22no—
34Q8⋊C8×C73—21no—
35D4⋊C8×C73—21no—
36D4⋊C8×C73—21no—
37D4⋊C8×C73—21no—
38D4⋊C8×C73—22no—
39C2×#41×C73—22no—
40C2×#41×C73—22no—
41C2×#41×C73—21no—
42C2×#41×C73—21no—
43C2×#41×C73—21no—
44C2×#41×C73—42no—
45C2×#41×C73—42no—
46C2×#41×C73—42no—
47C2×#41×C73—42no—
48C2×#41×C73D411yescharacteristic
49C22×Q8×C73—21no—
50C22×D4×C73—22no—
51C22×D4×C73—21no—
52C22×D4×C73—21no—
53C22×D4×C73D411yescharacteristic
54C23×C4×C73—22no—
55C23×C4×C73—21no—
56C2×M16×C73—21no—
57C22×C8×C73—21no—
58C4⋊Q8×C73—21no—
59C4⋊Q8×C73C2×C411yescharacteristic
60#127×C73—21no—
61#127×C73C2×C411yescharacteristic
62#124×C73—22no—
63#124×C73—21no—
64#123×C73—22no—
65#123×C73—22no—
66#123×C73—22no—
67C22⋊Q8×C73—22no—
68C22⋊Q8×C73—21no—
69C22⋊Q8×C73—22no—
70C22⋊Q8×C73—21no—
71#121×C73—22no—
72#121×C73—22no—
73#121×C73—22no—
74#121×C73—21no—
75#121×C73—21no—
76#121×C73—21no—
77#121×C73—21no—
78#121×C73—21no—
79#121×C73D412yes—
80#120×C73—22no—
81#120×C73—22no—
82#120×C73—22no—
83C4×Q8×C73C2×C411yescharacteristic
84C4×Q8×C73D411yescharacteristic
85C4×D4×C73—22no—
86C4×D4×C73—22no—
87C4×D4×C73—22no—
88C4×D4×C73—21no—
89C4×D4×C73—21no—
90C4×D4×C73—21no—
91C4×D4×C73—21no—
92C4×D4×C73—21no—
93C4×D4×C73—21no—
94C4×D4×C73—21no—
95C4×D4×C73C2×C411yescharacteristic
96C4×D4×C73C2×C411yescharacteristic
97C4×D4×C73C2×C411yescharacteristic
98C4×D4×C73D411yescharacteristic
99C4×D4×C73D411yescharacteristic
100C4×D4×C73D411yescharacteristic
101C4×D4×C73D412yes—
102#117×C73—21no—
103#117×C73D411yescharacteristic
104C2×C4⋊C4×C73—21no—
105C2×C4⋊C4×C73—21no—
106C2×C4⋊C4×C73D411yescharacteristic
107C2×C22⋊C4×C73—22no—
108C2×C22⋊C4×C73—21no—
109C2×C42×C73—21no—
110C2×C42×C73—21no—
111C2×C42×C73C2311yescharacteristic
112C4⋊C8×C73—21no—
113C4⋊C8×C73—21no—
114C4⋊C8×C73—21no—
115#104×C73—42no—
116#102×C73—24no—
117C22⋊C8×C73—21no—
118C4×C8×C73—21no—
119C4×C8×C73—21no—
120C4×C8×C73—21no—
121#95×C73—21no—
122C24×C73—22no—
123C24×C73—21no—
124#41×C73—21no—
125#41×C73—21no—
126#41×C73—44no—
127#41×C73—44no—
128#41×C73—44no—
129#41×C73—44no—
130#41×C73—42no—
131#41×C73—42no—
132#41×C73—42no—
133#41×C73—42no—
134#41×C73—41no—
135#41×C73—41no—
136#41×C73—41no—
137#41×C73—41no—
138#41×C73D812yes—
139#41×C73SD1612yes—
140C2×Q8×C73—22no—
141C2×Q8×C73—21no—
142C2×Q8×C73—42no—
143C2×Q8×C73—42no—
144C2×Q8×C73C22⋊C411yescharacteristic
145C2×D4×C73—21no—
146C2×D4×C73—22no—
147C2×D4×C73—22no—
148C2×D4×C73—22no—
149C2×D4×C73—22no—
150C2×D4×C73—22no—
151C2×D4×C73—22no—
152C2×D4×C73—22no—
153C2×D4×C73—21no—
154C2×D4×C73—21no—
155C2×D4×C73—21no—
156C2×D4×C73—41no—
157C2×D4×C73—42no—
158C2×D4×C73—44no—
159C2×D4×C73—44no—
160C2×D4×C73—42no—
161C2×D4×C73—42no—
162C2×D4×C73—42no—
163C2×D4×C73C22⋊C411yescharacteristic
164C2×D4×C73C22⋊C411yescharacteristic
165C2×D4×C73C22⋊C411yescharacteristic
166C2×D4×C73C22⋊C412yes—
167C22×C4×C73—21no—
168C22×C4×C73—22no—
169C22×C4×C73—22no—
170C22×C4×C73—22no—
171C22×C4×C73—21no—
172C22×C4×C73—21no—
173C22×C4×C73—21no—
174C22×C4×C73—21no—
175C22×C4×C73—21no—
176C22×C4×C73—22no—
177C22×C4×C73—21no—
178C22×C4×C73—21no—
179C22×C4×C73—44no—
180C22×C4×C73—44no—
181C22×C4×C73—41no—
182C22×C4×C73—41no—
183C22×C4×C73—41no—
184C22×C4×C73—41no—
185C22×C4×C73—41no—
186C22×C4×C73C2×D411yescharacteristic
187C22×C4×C73C2×D411yescharacteristic
188C22×C4×C73C2×D411yescharacteristic
189M16×C73—41no—
190M16×C73—41no—
191C2×C8×C73—22no—
192C2×C8×C73—41no—
193C2×C8×C73—41no—
194C2×C8×C73—41no—
195C2×C8×C73—41no—
196C4⋊C4×C73—22no—
197C4⋊C4×C73—22no—
198C4⋊C4×C73—21no—
199C4⋊C4×C73—21no—
200C4⋊C4×C73—21no—
201C4⋊C4×C73—21no—
202C4⋊C4×C73—22no—
203C4⋊C4×C73—41no—
204C4⋊C4×C73C22⋊C411yescharacteristic
205C4⋊C4×C73C22⋊C411yescharacteristic
206C4⋊C4×C73C22⋊C411yescharacteristic
207C4⋊C4×C73C22⋊C411yescharacteristic
208C4⋊C4×C73C22⋊C412yes—
209C22⋊C4×C73—22no—
210C22⋊C4×C73—22no—
211C22⋊C4×C73—22no—
212C22⋊C4×C73—22no—
213C22⋊C4×C73—21no—
214C22⋊C4×C73—21no—
215C22⋊C4×C73—21no—
216C22⋊C4×C73—21no—
217C22⋊C4×C73—21no—
218C22⋊C4×C73—22no—
219C22⋊C4×C73—21no—
220C22⋊C4×C73—21no—
221C22⋊C4×C73—22no—
222C42×C73—21no—
223C42×C73—21no—
224C42×C73—21no—
225C42×C73—41no—
226C42×C73—41no—
227C42×C73C22×C411yescharacteristic
228C42×C73C2×D411yescharacteristic
229C42×C73C2×D411yescharacteristic
230C42×C73C2×D411yescharacteristic
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—22no—
234C23×C73—21no—
235C23×C73—42no—
236C23×C73—44no—
237C23×C73—44no—
238C23×C73—41no—
239C23×C73—41no—
240C23×C73—81no—
241C23×C73—82no—
242C23×C73#12011yescharacteristic
243Q8×C73—21no—
244Q8×C73—44no—
245Q8×C73—41no—
246Q8×C73—41no—
247Q8×C73#10212yescomplemented
248D4×C73—22no—
249D4×C73—22no—
250D4×C73—21no—
251D4×C73—21no—
252D4×C73—21no—
253D4×C73—21no—
254D4×C73—42no—
255D4×C73—42no—
256D4×C73—44no—
257D4×C73—44no—
258D4×C73—44no—
259D4×C73—44no—
260D4×C73—42no—
261D4×C73—42no—
262D4×C73—41no—
263D4×C73—41no—
264D4×C73—41no—
265D4×C73—41no—
266D4×C73—82no—
267D4×C73#10212yescomplemented
268D4×C73#10412yescomplemented
269C2×C4×C73—21no—
270C2×C4×C73—21no—
271C2×C4×C73—21no—
272C2×C4×C73—22no—
273C2×C4×C73—22no—
274C2×C4×C73—21no—
275C2×C4×C73—21no—
276C2×C4×C73—21no—
277C2×C4×C73—22no—
278C2×C4×C73—21no—
279C2×C4×C73—41no—
280C2×C4×C73—44no—
281C2×C4×C73—44no—
282C2×C4×C73—44no—
283C2×C4×C73—41no—
284C2×C4×C73—41no—
285C2×C4×C73—41no—
286C2×C4×C73—41no—
287C2×C4×C73—41no—
288C2×C4×C73—41no—
289C2×C4×C73—41no—
290C2×C4×C73—41no—
291C2×C4×C73—41no—
292C2×C4×C73—42no—
293C2×C4×C73—41no—
294C2×C4×C73—41no—
295C2×C4×C73—42no—
296C2×C4×C73—41no—
297C2×C4×C73—42no—
298C2×C4×C73—81no—
299C2×C4×C73—81no—
300C2×C4×C73—81no—
301C2×C4×C73C2×C22⋊C411yescharacteristic
302C2×C4×C73C2×C22⋊C411yescharacteristic
303C2×C4×C73C2×C22⋊C411yescharacteristic
304C2×C4×C73#12011yescharacteristic
305C2×C4×C73#12011yescharacteristic
306C2×C4×C73#12011yescharacteristic
307C2×C4×C73C2×D811yescharacteristic
308C2×C4×C73C2×SD1611yescharacteristic
309C2×C4×C73AGL(1,ℤ/8)11yescharacteristic
310C2×C4×C73AGL(1,ℤ/8)11yescharacteristic
311C8×C73—42no—
312C8×C73—81no—
313C8×C73—81no—
314C22×C73—21no—
315C22×C73—21no—
316C22×C73—22no—
317C22×C73—22no—
318C22×C73—41no—
319C22×C73—41no—
320C22×C73—41no—
321C22×C73—41no—
322C22×C73—42no—
323C22×C73—41no—
324C22×C73—42no—
325C22×C73—41no—
326C22×C73—41no—
327C22×C73—42no—
328C22×C73—82no—
329C22×C73—82no—
330C22×C73—88no—
331C22×C73#37911yescharacteristic
332C22×C73#44711yescharacteristic
333C22×C73#45011yescharacteristic
334C4×C73—21no—
335C4×C73—21no—
336C4×C73—22no—
337C4×C73—21no—
338C4×C73—41no—
339C4×C73—41no—
340C4×C73—42no—
341C4×C73—41no—
342C4×C73—41no—
343C4×C73—82no—
344C4×C73C2×#10211yescharacteristic
345C4×C73#41811yescharacteristic
346C4×C73C2×#10411yescharacteristic
347C4×C73#42111yescharacteristic
348C4×C73#44711yescharacteristic
349C4×C73#45011yescharacteristic
350#8436C7311yesmaximal, characteristic, direct product factor, Sylow
351C2×C73—21no—
352C2×C73—21no—
353C2×C73—42no—
354C2×C73—42no—
355C2×C73—82no—
356C2×C73—81no—
357C2×C73#178611yescharacteristic
358C2×C73#178911yescharacteristic
359C2×C73#179411yescharacteristic
360D4×#41C2×C7311yescharacteristic
361#1806C2×C7311yescharacteristic, complemented
362C4×#102C2×C7311yescharacteristic, complemented
363#1502C2×C7311yescharacteristic, complemented
364#1492C2×C7311yescharacteristic, complemented
365#1486C2×C7311yescharacteristic, complemented
366#1476C2×C7311yescharacteristic, complemented
367C73#843611yescharacteristic, direct product factor, Sylow
368C22×#41—21no—
369#550C4×C7311yescharacteristic, complemented
370D4×Q8C4×C7311yescharacteristic, complemented
371#548—21no—
372#547—21no—
373#547C4×C7311yescharacteristic, complemented
374#546—22no—
375#546—21no—
376D42—21no—
377D42C4×C7311yescharacteristic, complemented
378#532—21no—
379#532C22×C7311yescharacteristic
380#525—22no—
381#525—21no—
382C4×#41C22×C7311yescharacteristic
383C2×C4×D4—21no—
384C2×C4×D4C22×C7311yescharacteristic
385#431C22×C7311yescharacteristic, complemented
386#423C22×C7311yescharacteristic, complemented
387C2×#104—21no—
388C2×#102—21no—
389C2×C4×C8C22×C7311yescharacteristic, complemented
390C4×C4⋊C4C22×C7311yescharacteristic, complemented
391#340—21no—
392#339—21no—
393#327—22no—
394Q8⋊C8—21no—
395D4⋊C8—21no—
396D4⋊C8—21no—
397D4⋊C8—21no—
398D4⋊C8—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—21no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—42no—
405C2×#41—42no—
406C2×#41—42no—
407C2×#41—42no—
408C2×#41D4×C7311yescharacteristic
409C22×Q8—21no—
410C22×D4—22no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4D4×C7311yescharacteristic
414C23×C4—22no—
415C23×C4—21no—
416C2×M16—21no—
417C22×C8—21no—
418C4⋊Q8—21no—
419C4⋊Q8C2×C4×C7311yescharacteristic
420#127—21no—
421#127C2×C4×C7311yescharacteristic
422#124—22no—
423#124—21no—
424#123—22no—
425#123—22no—
426#123—22no—
427C22⋊Q8—22no—
428C22⋊Q8—21no—
429C22⋊Q8—22no—
430C22⋊Q8—21no—
431#121—22no—
432#121—22no—
433#121—22no—
434#121—21no—
435#121—21no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121D4×C7312yes—
440#120—22no—
441#120—22no—
442#120—22no—
443C4×Q8C2×C4×C7311yescharacteristic
444C4×Q8D4×C7311yescharacteristic
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—21no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4C2×C4×C7311yescharacteristic
456C4×D4C2×C4×C7311yescharacteristic
457C4×D4C2×C4×C7311yescharacteristic
458C4×D4D4×C7311yescharacteristic
459C4×D4D4×C7311yescharacteristic
460C4×D4D4×C7311yescharacteristic
461C4×D4D4×C7312yes—
462#117—21no—
463#117D4×C7311yescharacteristic
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4D4×C7311yescharacteristic
467C2×C22⋊C4—22no—
468C2×C22⋊C4—21no—
469C2×C42—21no—
470C2×C42—21no—
471C2×C42C23×C7311yescharacteristic
472C4⋊C8—21no—
473C4⋊C8—21no—
474C4⋊C8—21no—
475#104—42no—
476#102—24no—
477C22⋊C8—21no—
478C4×C8—21no—
479C4×C8—21no—
480C4×C8—21no—
481#95—21no—
482C24—22no—
483C24—21no—
484#41—21no—
485#41—21no—
486#41—44no—
487#41—44no—
488#41—44no—
489#41—44no—
490#41—42no—
491#41—42no—
492#41—42no—
493#41—42no—
494#41—41no—
495#41—41no—
496#41—41no—
497#41—41no—
498#41D8×C7312yes—
499#41SD16×C7312yes—
500C2×Q8—22no—
501C2×Q8—21no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8C22⋊C4×C7311yescharacteristic
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—41no—
517C2×D4—42no—
518C2×D4—44no—
519C2×D4—44no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4C22⋊C4×C7311yescharacteristic
524C2×D4C22⋊C4×C7311yescharacteristic
525C2×D4C22⋊C4×C7311yescharacteristic
526C2×D4C22⋊C4×C7312yes—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4C2×D4×C7311yescharacteristic
547C22×C4C2×D4×C7311yescharacteristic
548C22×C4C2×D4×C7311yescharacteristic
549M16—41no—
550M16—41no—
551C2×C8—22no—
552C2×C8—41no—
553C2×C8—41no—
554C2×C8—41no—
555C2×C8—41no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—41no—
564C4⋊C4C22⋊C4×C7311yescharacteristic
565C4⋊C4C22⋊C4×C7311yescharacteristic
566C4⋊C4C22⋊C4×C7311yescharacteristic
567C4⋊C4C22⋊C4×C7311yescharacteristic
568C4⋊C4C22⋊C4×C7312yes—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—21no—
574C22⋊C4—21no—
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—22no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—41no—
586C42—41no—
587C42C22×C4×C7311yescharacteristic
588C42C2×D4×C7311yescharacteristic
589C42C2×D4×C7311yescharacteristic
590C42C2×D4×C7311yescharacteristic
591C23—21no—
592C23—21no—
593C23—21no—
594C23—22no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—41no—
599C23—41no—
600C23—81no—
601C23—82no—
602C23#120×C7311yescharacteristic
603Q8—21no—
604Q8—44no—
605Q8—41no—
606Q8—41no—
607Q8#102×C7312yescomplemented
608D4—22no—
609D4—22no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—21no—
614D4—42no—
615D4—42no—
616D4—44no—
617D4—44no—
618D4—44no—
619D4—44no—
620D4—42no—
621D4—42no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—82no—
627D4#102×C7312yescomplemented
628D4#104×C7312yescomplemented
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—81no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4C2×C22⋊C4×C7311yescharacteristic
662C2×C4C2×C22⋊C4×C7311yescharacteristic
663C2×C4C2×C22⋊C4×C7311yescharacteristic
664C2×C4#120×C7311yescharacteristic
665C2×C4#120×C7311yescharacteristic
666C2×C4#120×C7311yescharacteristic
667C2×C4C2×D8×C7311yescharacteristic
668C2×C4C2×SD16×C7311yescharacteristic
669C2×C4AGL(1,ℤ/8)×C7311yescharacteristic
670C2×C4AGL(1,ℤ/8)×C7311yescharacteristic
671C8—42no—
672C8—81no—
673C8—81no—
674C22—21no—
675C22—21no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—41no—
688C22—82no—
689C22—82no—
690C22—88no—
691C22#379×C7311yescharacteristic
692C22#447×C7311yescharacteristic
693C22#450×C7311yescharacteristic
694C4—22no—
695C4—21no—
696C4—21no—
697C4—21no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—82no—
704C4C2×#102×C7311yescharacteristic
705C4#418×C7311yescharacteristic
706C4C2×#104×C7311yescharacteristic
707C4#421×C7311yescharacteristic
708C4#447×C7311yescharacteristic
709C4#450×C7311yescharacteristic
710C2—21no—
711C2—21no—
712C2—42no—
713C2—42no—
714C2—81no—
715C2—82no—
716C2C73×#178611yescharacteristic
717C2C73×#178911yescharacteristic
718C2C73×#179411yescharacteristic
subgroupG/H
centerC2×C4×C73#120
commutatorC42C22×C4×C73
Frattini, cosocleC2×C42C23×C73
socleC22×C73#379
prime radicalD4×#41×C73C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C73 ◁ C2×C42×C73 ◁ G

Complements

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

NH ≅ G/Ntype
2. C73×#1806C2semidirect
3. C4×#102×C73C2semidirect
4. C73×#1502C2semidirect
5. C73×#1492C2semidirect
6. C73×#1486C2semidirect
7. C73×#1476C2semidirect
9. #550×C73C4semidirect
10. D4×Q8×C73C4semidirect
13. #547×C73C4semidirect
17. D42×C73C4semidirect
25. #431×C73C22semidirect
26. #423×C73C22semidirect
29. C2×C4×C8×C73C22semidirect
30. C4×C4⋊C4×C73C22semidirect
247. Q8×C73#102semidirect
267. D4×C73#102semidirect
268. D4×C73#104semidirect
350. #8436C73direct (N × H)
361. #1806C2×C73semidirect
362. C4×#102C2×C73semidirect
363. #1502C2×C73semidirect
364. #1492C2×C73semidirect
365. #1486C2×C73semidirect
366. #1476C2×C73semidirect
367. C73#8436direct (N × H)
369. #550C4×C73semidirect
370. D4×Q8C4×C73semidirect
373. #547C4×C73semidirect
377. D42C4×C73semidirect
385. #431C22×C73semidirect
386. #423C22×C73semidirect
389. C2×C4×C8C22×C73semidirect
390. C4×C4⋊C4C22×C73semidirect
607. Q8#102×C73semidirect
627. D4#102×C73semidirect
628. D4#104×C73semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C732
C73×#18062
C4×#102×C732
C73×#15022
C73×#14922
C73×#14862
C73×#14762
#843673