Finite Group Databasebeta

← #33994614

Subgroups — #33994614

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624247C214yesmaximal, complemented
2#22624239C214yesmaximal, complemented
3#22624170C212yesmaximal, complemented
4#22624166C212yesmaximal, complemented
5#22624160C212yesmaximal, complemented
6#22624158C212yesmaximal, complemented
7#22624125C214yesmaximal, complemented
8#22624115C214yesmaximal, complemented
9#22623963C214yesmaximal, complemented
10#22623951C214yesmaximal, complemented
11#22623772C212yesmaximal, complemented
12#22623770C212yesmaximal, complemented
13#22623695C212yesmaximal, complemented
14#22623688C212yesmaximal, complemented
15#22623668C212yesmaximal, complemented
16#22623666C212yesmaximal, complemented
17#22623637C212yesmaximal, complemented
18#22623614C214yesmaximal, complemented
19#22623600C212yesmaximal, complemented
20#22623592C212yesmaximal, complemented
21#22623564C212yesmaximal, complemented
22#22623560C214yesmaximal, complemented
23C2×#17989098C211yesmaximal, characteristic, complemented
24C22×#14556565C211yesmaximal, characteristic, complemented
25C2×#525×C73C211yesmaximal, characteristic, complemented
26C2×#14556637C2212yescomplemented
27C2×#14556636C2214yescomplemented
28C22×#11924028C2211yescharacteristic, complemented
29C23×D292C2211yescharacteristic, complemented
30C23×C22⋊D73C2212yescomplemented
31#17989334C2218yescomplemented
32#17989333C2218yescomplemented
33#17989327C2218yescomplemented
34#17989325C2218yescomplemented
35#17989302C2214yescomplemented
36#17989300C2214yescomplemented
37#17989295C2214yescomplemented
38#17989294C2214yescomplemented
39#17989289C2214yescomplemented
40#17989286C2218yescomplemented
41#17989285C2218yescomplemented
42#17989285C2214yescomplemented
43#17989283C2214yescomplemented
44#17989283C2214yescomplemented
45#17989283C2214yescomplemented
46#17989281C2214yescomplemented
47#17989279C2214yescomplemented
48#17989277C2214yescomplemented
49#17989266C2218yescomplemented
50#17989264C2218yescomplemented
51#17989261C2218yescomplemented
52#17989260C2218yescomplemented
53#17989258C2214yescomplemented
54#17989256C2214yescomplemented
55#17989248C2214yescomplemented
56#17989246C2214yescomplemented
57#17989241C2214yescomplemented
58#17989241C2214yescomplemented
59#17989238C2214yescomplemented
60#17989237C2214yescomplemented
61#17989233C2214yescomplemented
62#17989233C2214yescomplemented
63#17989233C2214yescomplemented
64#17989232C2218yescomplemented
65#17989232C2218yescomplemented
66#17989229C2218yescomplemented
67#17989228C2214yescomplemented
68#17989228C2214yescomplemented
69#17989227C2218yescomplemented
70#17989227C2218yescomplemented
71#17989227C2218yescomplemented
72#17989226C2218yescomplemented
73#17989225C2218yescomplemented
74#17989225C2214yescomplemented
75#17989224C2218yescomplemented
76#17989224C2218yescomplemented
77D4×D292C2214yescomplemented
78D4×D292C2214yescomplemented
79D4×D292C2214yescomplemented
80#17989221C2214yescomplemented
81#17989221C2214yescomplemented
82D4×C22⋊D73C2218yescomplemented
83D4×C22⋊D73C2218yescomplemented
84D4×C22⋊D73C2214yescomplemented
85#17989219C2218yescomplemented
86#17989219C2218yescomplemented
87#17989215C2212yescomplemented
88#17989212C2214yescomplemented
89#17989210C2214yescomplemented
90#17989208C2214yescomplemented
91#17989192C2214yescomplemented
92#17989190C2214yescomplemented
93#17989189C2218yescomplemented
94#17989188C2218yescomplemented
95#17989186C2214yescomplemented
96#17989184C2214yescomplemented
97#17989181C2218yescomplemented
98#17989177C2214yescomplemented
99#17989177C2214yescomplemented
100#17989175C2214yescomplemented
101#17989174C2214yescomplemented
102#17989173C2218yescomplemented
103#17989170C2218yescomplemented
104#17989170C2218yescomplemented
105#17989168C2214yescomplemented
106#17989167C2214yescomplemented
107#17989165C2212yescomplemented
108#17989165C2214yescomplemented
109#17989164C2214yescomplemented
110#17989156C2212yescomplemented
111#17989153C2214yescomplemented
112#17989152C2218yescomplemented
113#17989151C2212yescomplemented
114#17989151C2214yescomplemented
115#17989149C2214yescomplemented
116#17989149C2214yescomplemented
117#17989148C2218yescomplemented
118#17989147C2218yescomplemented
119#17989146C2214yescomplemented
120#17989145C2214yescomplemented
121#17989145C2214yescomplemented
122#17989137C2214yescomplemented
123#17989132C2214yescomplemented
124#17989123C2214yescomplemented
125#17989121C2214yescomplemented
126#17989100C2214yescomplemented
127#17989098C2212yescomplemented
128#17989098C2212yescomplemented
129#17989098C2212yescomplemented
130#17989098C2212yescomplemented
131#17989098C2212yescomplemented
132#17989098C2212yescomplemented
133#17989098C2212yescomplemented
134#17989098C2212yescomplemented
135#17989098C2214yescomplemented
136#17989093C2218yescomplemented
137C2×#14556574C2212yescomplemented
138C2×#14556570C2211yescharacteristic, complemented
139C2×#14556570C2211yescharacteristic, complemented
140C2×#14556565C2212yescomplemented
141C2×#14556565C2212yescomplemented
142C2×#14556565C2212yescomplemented
143C2×#14556565C2212yescomplemented
144C2×#14556565C2212yescomplemented
145C2×#14556565C2212yescomplemented
146C2×#14556565C2212yescomplemented
147C2×#14556565C2212yescomplemented
148C2×#14556565C2212yescomplemented
149C2×#14556565C2212yescomplemented
150C2×#14556565C2212yescomplemented
151C2×#14556565C2212yescomplemented
152C2×#14556565C2211yescharacteristic, complemented
153C2×#14556565C2211yescharacteristic, complemented
154C2×#14556565C2214yescomplemented
155#121×D73C2214yescomplemented
156C2×#14556560C2212yescomplemented
157#120×D73C2218yescomplemented
158#17989070C2212yescomplemented
159#17989067C2212yescomplemented
160#17989061C2212yescomplemented
161#17989060C2214yescomplemented
162#17989059C2218yescomplemented
163C2×C4×C22⋊D73C2212yescomplemented
164C2×C4×C22⋊D73C2212yescomplemented
165C2×#14556550C2211yescharacteristic, complemented
166C22×C4⋊Dic73C2211yescharacteristic, complemented
167C22×#11924005C2212yescomplemented
168C22×#41×C73C2211yescharacteristic, complemented
169C24×C4×C73C2211yescharacteristic, complemented
170#525×C73C2212yescomplemented
171#525×C73C2212yescomplemented
172#525×C73C2212yescomplemented
173#525×C73C2212yescomplemented
174#525×C73C2212yescomplemented
175#525×C73C2212yescomplemented
176#525×C73C2212yescomplemented
177#525×C73C2212yescomplemented
178C2×#123×C73C2212yescomplemented
179C2×C22⋊Q8×C73C2211yescharacteristic, complemented
180C2×C22⋊Q8×C73C2211yescharacteristic, complemented
181C2×#121×C73C2211yescharacteristic, complemented
182C2×#121×C73C2211yescharacteristic, complemented
183C2×#120×C73C2212yescomplemented
184C2×C4×D4×C73C2212yescomplemented
185C2×C4×D4×C73C2212yescomplemented
186C2×#117×C73C2211yescharacteristic, complemented
187C24×D73C2312yes—
188#14556637—48no—
189#14556636—416no—
190C2×#11924029C2314yescomplemented
191C2×#11924028—44no—
192C2×#11924028C2312yes—
193C2×#11924028C2312yes—
194C2×#11924028C2318yescomplemented
195C2×#11924028C2312yescomplemented
196C2×#11924028C2312yescomplemented
197C2×#11924028C2314yescomplemented
198C2×#11924027C2318yes—
199C2×#11924027C2318yescomplemented
200C22×Dic146C2311yescharacteristic, complemented
201C22×D292—44no—
202C22×D292C2312yes—
203C22×D292C2312yes—
204C22×D292C2312yes—
205C22×D292C2312yes—
206C22×D292C2312yes—
207C22×D292C2312yes—
208C22×D292C2314yescomplemented
209C22×D292C2311yescharacteristic, complemented
210C22×C22⋊D73—48no—
211C22×C22⋊D73C2314yes—
212C22×C22⋊D73C2312yes—
213C22×C22⋊D73C2314yes—
214C22×C22⋊D73C2314yes—
215C22×C22⋊D73C2314yes—
216C22×C22⋊D73C2314yes—
217C22×C22⋊D73C2314yes—
218C22×C22⋊D73C2312yes—
219C22×C22⋊D73C2312yes—
220C22×C22⋊D73C2318yescomplemented
221C2×D4×D73C2318yes—
222C2×D4×D73C2318yes—
223C2×D4×D73C2318yes—
224C2×D4×D73C2318yescomplemented
225C2×D4×D73C2314yescomplemented
226C23×Dic73C2312yes—
227C22×C4×D73C2312yescomplemented
228#14556591C2314yescomplemented
229#14556590C2314yescomplemented
230#14556588C2314yescomplemented
231#14556587C2314yescomplemented
232#14556587C2318yescomplemented
233#14556587C2318yescomplemented
234#14556586C2318yescomplemented
235#14556586C2318yescomplemented
236#14556586C2318yescomplemented
237#14556586C2318yescomplemented
238#14556585C2318yescomplemented
239#14556584C2318yescomplemented
240#14556583C2314yescomplemented
241#14556582C2314yescomplemented
242#14556582C2318yescomplemented
243#14556581C2318yescomplemented
244#14556580C2314yescomplemented
245#14556580C2318yescomplemented
246#14556579C2314yescomplemented
247#14556579C2318yescomplemented
248#14556577C2318yescomplemented
249#14556577C2318yescomplemented
250#14556577C2318yescomplemented
251#14556577C2318yescomplemented
252#14556576C2318yescomplemented
253#14556576C2318yescomplemented
254#14556576C2318yescomplemented
255#14556576C2318yescomplemented
256#14556576C2318yescomplemented
257#14556575C2318yes—
258#14556575C2318yescomplemented
259#14556575C2318yescomplemented
260#14556575C2318yescomplemented
261#14556574C2314yes—
262#14556574C2314yes—
263#14556574C2318yescomplemented
264#14556574C2314yescomplemented
265#14556574C2318yescomplemented
266#14556574C2314yescomplemented
267#14556573C2318yescomplemented
268#14556573C2318yescomplemented
269#14556573C2318yescomplemented
270#14556573C2318yescomplemented
271#14556572C2318yes—
272#14556571C2318yescomplemented
273#14556571C2318yescomplemented
274#14556570C2312yes—
275#14556570C2312yes—
276#14556570C2312yes—
277#14556570C2312yes—
278#14556570C2312yescomplemented
279#14556570C2312yescomplemented
280#14556570C2314yescomplemented
281#14556570C2312yescomplemented
282#14556570C2312yescomplemented
283#14556569C2318yescomplemented
284#14556569C2318yescomplemented
285#14556568C2318yes—
286#14556568C2318yes—
287#14556568C2318yescomplemented
288#14556567C2314yescomplemented
289#14556567C2318yescomplemented
290#14556566C2318yescomplemented
291#14556566C2318yescomplemented
292#14556566C2314yescomplemented
293#14556566C2314yescomplemented
294#14556566C2318yescomplemented
295#14556565C2314yes—
296#14556565C2314yes—
297#14556565C2312yes—
298#14556565C2314yes—
299#14556565C2314yes—
300#14556565C2314yes—
301#14556565C2314yes—
302#14556565C2314yes—
303#14556565C2314yes—
304#14556565C2314yes—
305#14556565C2312yes—
306#14556565C2312yes—
307#14556565C2314yes—
308#14556565C2314yes—
309#14556565C2314yes—
310#14556565C2312yes—
311#14556565C2314yes—
312#14556565C2314yes—
313#14556565C2314yes—
314#14556565C2314yes—
315#14556565C2312yescomplemented
316#14556565C2318yescomplemented
317#14556565C2312yescomplemented
318#14556565C2318yescomplemented
319#14556565C2312yescomplemented
320#14556565C2314yescomplemented
321#14556565C2314yescomplemented
322#14556565C2314yescomplemented
323#14556565C2318yescomplemented
324#14556565C2312yescomplemented
325#14556564C2318yescomplemented
326#14556564C2318yescomplemented
327#14556564C2318yescomplemented
328#14556564C2318yescomplemented
329#14556564C2318yescomplemented
330#14556564C2318yescomplemented
331#14556564C2318yescomplemented
332#14556563C2318yes—
333#14556563C2318yes—
334#14556563C2318yescomplemented
335#14556563C2318yescomplemented
336#14556563C2318yescomplemented
337#14556563C2318yescomplemented
338#14556563C2318yescomplemented
339#14556562C2318yescomplemented
340#14556562C2318yescomplemented
341#14556562C2314yescomplemented
342#14556561C2318yes—
343#14556561C2318yes—
344#14556561C2318yes—
345#14556561C2318yescomplemented
346#14556561C2318yescomplemented
347#14556561C2318yescomplemented
348#14556561C2318yescomplemented
349#14556560C2314yes—
350#14556560C2314yes—
351#14556560C2314yes—
352#14556560C2314yes—
353#14556560C2318yescomplemented
354#14556559C2318yes—
355#14556559C2318yes—
356#14556559C2318yes—
357#14556559C2318yescomplemented
358#14556559C2318yescomplemented
359#14556559C2318yescomplemented
360Q8×Dic73C2314yescomplemented
361C4×Dic146C2314yescomplemented
362C4×D292C2314yescomplemented
363C4×D292C2318yescomplemented
364C4×D292C2314yescomplemented
365C4×D292C2314yescomplemented
366D4×Dic73C2318yes—
367D4×Dic73C2318yes—
368D4×Dic73C2314yescomplemented
369#14556553C2314yescomplemented
370#14556553C2314yescomplemented
371#14556553C2318yescomplemented
372C4×C22⋊D73C2314yes—
373C4×C22⋊D73C2314yes—
374C4×C22⋊D73C2314yes—
375C4×C22⋊D73C2314yes—
376C4×C22⋊D73C2318yescomplemented
377C4×C22⋊D73C2318yescomplemented
378C4×C22⋊D73C2314yescomplemented
379C4×C22⋊D73C2318yescomplemented
380C4×C22⋊D73C2314yescomplemented
381C4×C22⋊D73C2314yescomplemented
382C4×C22⋊D73C2314yescomplemented
383#14556551C2318yes—
384#14556551C2318yes—
385#14556551C2318yescomplemented
386#14556551C2318yescomplemented
387#14556551C2318yescomplemented
388#14556550C2312yes—
389#14556550C2312yes—
390#14556550C2314yescomplemented
391#14556550C2312yescomplemented
392#14556550C2312yescomplemented
393#14556549C2318yescomplemented
394#14556549C2314yescomplemented
395#14556548C2318yescomplemented
396#14556547C2318yes—
397C2×C4⋊Dic73C2312yes—
398C2×C4⋊Dic73C2312yes—
399C2×C4⋊Dic73C2312yes—
400C2×C4⋊Dic73C2312yes—
401C2×C4⋊Dic73C2312yes—
402C2×C4⋊Dic73C2312yes—
403C2×C4⋊Dic73C2314yescomplemented
404C2×C4⋊Dic73C2311yescharacteristic, complemented
405C2×C4⋊Dic73C2311yescharacteristic, complemented
406C2×#11924007C2312yescomplemented
407C2×#11924007C2312yescomplemented
408C4⋊C4×D73C2314yescomplemented
409C2×C22⋊Dic73C2312yes—
410C2×C22⋊Dic73C2312yes—
411C2×C22⋊Dic73C2312yes—
412C2×#11924005C2314yes—
413C2×#11924005C2314yes—
414C2×#11924005C2314yes—
415C2×#11924005C2314yes—
416C2×#11924005C2314yes—
417C2×#11924005C2314yes—
418C2×#11924005C2312yescomplemented
419C2×#11924005C2318yescomplemented
420C2×#11924005C2312yescomplemented
421C22⋊C4×D73C2318yes—
422C22⋊C4×D73C2318yes—
423C22⋊C4×D73C2318yes—
424C22⋊C4×D73C2318yescomplemented
425C2×C4×Dic73C2312yescomplemented
426C25×C73C2311yescharacteristic
427C2×#41×C73—44no—
428C2×#41×C73C2312yes—
429C2×#41×C73C2312yes—
430C2×#41×C73C2312yescomplemented
431C2×#41×C73C2312yescomplemented
432C22×Q8×C73C2311yescharacteristic, complemented
433C22×D4×C73C2312yes—
434C22×D4×C73C2312yes—
435C22×D4×C73C2312yes—
436C22×D4×C73C2311yescharacteristic, complemented
437C23×C4×C73—44no—
438C23×C4×C73C2311yescharacteristic
439C23×C4×C73C2311yescharacteristic
440C23×C4×C73C2311yescharacteristic
441C23×C4×C73C2311yescharacteristic
442C23×C4×C73C2311yescharacteristic
443C23×C4×C73C2311yescharacteristic
444C23×C4×C73C2311yescharacteristic
445C23×C4×C73C2311yescharacteristic
446C23×C4×C73C2311yescharacteristic
447C23×C4×C73C2311yescharacteristic
448C23×C4×C73C2311yescharacteristic
449C23×C4×C73C2311yescharacteristic
450C23×C4×C73C2311yescharacteristic
451C23×C4×C73C2311yescharacteristic
452C23×C4×C73C2312yescomplemented
453#123×C73C2314yes—
454#123×C73C2314yes—
455#123×C73C2314yescomplemented
456#123×C73C2314yescomplemented
457C22⋊Q8×C73C2312yes—
458C22⋊Q8×C73C2312yes—
459C22⋊Q8×C73C2312yes—
460C22⋊Q8×C73C2312yes—
461C22⋊Q8×C73C2312yescomplemented
462C22⋊Q8×C73C2312yescomplemented
463C22⋊Q8×C73C2312yescomplemented
464C22⋊Q8×C73C2312yescomplemented
465#121×C73C2312yes—
466#121×C73C2312yes—
467#121×C73C2312yes—
468#121×C73C2312yes—
469#121×C73C2312yescomplemented
470#121×C73C2312yescomplemented
471#121×C73C2312yescomplemented
472#121×C73C2312yescomplemented
473#120×C73C2314yes—
474#120×C73C2314yes—
475#120×C73C2314yes—
476#120×C73C2314yes—
477C4×D4×C73C2314yes—
478C4×D4×C73C2314yes—
479C4×D4×C73C2314yes—
480C4×D4×C73C2314yes—
481C4×D4×C73C2314yescomplemented
482C4×D4×C73C2314yescomplemented
483C4×D4×C73C2314yescomplemented
484C4×D4×C73C2314yescomplemented
485#117×C73C2312yes—
486#117×C73C2312yes—
487#117×C73C2312yescomplemented
488#117×C73C2312yescomplemented
489C2×C4⋊C4×C73C2312yescomplemented
490C2×C4⋊C4×C73C2311yescharacteristic, complemented
491C2×C4⋊C4×C73C2311yescharacteristic, complemented
492C2×C4⋊C4×C73C2312yescomplemented
493C2×C22⋊C4×C73C2312yes—
494C2×C22⋊C4×C73C2312yes—
495C2×C22⋊C4×C73C2312yes—
496C2×C22⋊C4×C73C2312yescomplemented
497C2×C22⋊C4×C73C2312yescomplemented
498C2×C42×C73C2312yescomplemented
499C23×D73—44no—
500C23×D73—44no—
501C23×D73—44no—
502C23×D73C2414yes—
503C23×D73C2414yes—
504C23×D73C2414yes—
505C23×D73C2412yes—
506C23×D73C2418yes—
507#11924029—48no—
508#11924028—28no—
509#11924028—44no—
510#11924028—48no—
511#11924028—44no—
512#11924028—44no—
513#11924028—416no—
514#11924027—416no—
515#11924027—416no—
516C2×Dic146—42no—
517C2×Dic146C2412yes—
518C2×Dic146C2418yes—
519C2×Dic146C2412yes—
520C2×D292—28no—
521C2×D292—44no—
522C2×D292—44no—
523C2×D292—44no—
524C2×D292—44no—
525C2×D292—42no—
526C2×D292—48no—
527C2×D292—44no—
528C2×D292C2414yes—
529C2×D292C2414yes—
530C2×D292C2412yes—
531C2×D292C2418yes—
532C2×D292C2418yes—
533C2×D292C2418yes—
534C2×D292C2412yes—
535C2×D292C2414yes—
536C2×D292C2414yes—
537C2×C22⋊D73—216no—
538C2×C22⋊D73—28no—
539C2×C22⋊D73—48no—
540C2×C22⋊D73—48no—
541C2×C22⋊D73—48no—
542C2×C22⋊D73—48no—
543C2×C22⋊D73—48no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73—416no—
547C2×C22⋊D73C2414yes—
548C2×C22⋊D73C2414yes—
549C2×C22⋊D73C2418yes—
550C2×C22⋊D73C2414yes—
551C2×C22⋊D73C2414yes—
552C2×C22⋊D73C2418yes—
553C2×C22⋊D73C2418yes—
554C2×C22⋊D73C2414yes—
555C2×C22⋊D73C2418yes—
556C2×C22⋊D73C2418yes—
557C2×C22⋊D73C2414yes—
558C2×C22⋊D73C2418yes—
559C2×C22⋊D73C2418yes—
560C2×C22⋊D73C2418yes—
561D4×D73—48no—
562D4×D73—416no—
563D4×D73—416no—
564D4×D73—416no—
565D4×D73—416no—
566C22×Dic73—44no—
567C22×Dic73C2412yes—
568C22×Dic73C2414yes—
569C22×Dic73C2412yes—
570C22×Dic73C2414yes—
571C22×Dic73C2414yes—
572C22×Dic73C2418yes—
573C22×Dic73C2412yes—
574C2×C4×D73—44no—
575C2×C4×D73C2414yes—
576C2×C4×D73C2418yes—
577C2×C4×D73C2418yes—
578C2×C4×D73C2418yes—
579C2×C4×D73C2414yes—
580C2×C4×D73C2418yes—
581C4⋊Dic73C2414yes—
582C4⋊Dic73C2414yes—
583C4⋊Dic73C2414yes—
584C4⋊Dic73C2414yes—
585C4⋊Dic73C2412yes—
586C4⋊Dic73C2412yes—
587C4⋊Dic73C2412yes—
588C4⋊Dic73C2412yes—
589C4⋊Dic73C2418yes—
590C4⋊Dic73C2418yes—
591#11924007C2418yes—
592#11924007C2414yes—
593#11924007C2414yes—
594#11924007C2414yes—
595#11924007C2414yes—
596#11924007C2418yes—
597#11924007C2418yes—
598#11924007C2418yes—
599C22⋊Dic73C2414yes—
600C22⋊Dic73C2414yes—
601C22⋊Dic73C2414yes—
602C22⋊Dic73C2418yes—
603C22⋊Dic73C2414yes—
604C22⋊Dic73C2414yes—
605C22⋊Dic73C2414yes—
606C22⋊Dic73C2418yes—
607#11924005C2418yes—
608#11924005C2418yes—
609#11924005C2418yes—
610#11924005C2418yes—
611#11924005C2418yes—
612#11924005C2418yes—
613#11924005C2418yes—
614#11924005C2418yes—
615#11924005C2418yes—
616#11924005C2418yes—
617#11924005C2414yes—
618#11924005C2418yes—
619#11924005C2414yes—
620#11924005C2414yes—
621#11924005C2414yes—
622#11924005C2418yes—
623C4×Dic73C2414yes—
624C4×Dic73C2414yes—
625C4×Dic73C2418yes—
626C4×Dic73C2418yes—
627C24×C73—24no—
628C24×C73—42no—
629C24×C73—42no—
630C24×C73C2411yescharacteristic
631C24×C73C2411yescharacteristic
632C24×C73C2411yescharacteristic
633C24×C73C2411yescharacteristic
634C24×C73C2411yescharacteristic
635C24×C73C2412yes—
636C24×C73C2411yescharacteristic
637C24×C73C2411yescharacteristic
638#41×C73—28no—
639#41×C73—44no—
640#41×C73—44no—
641#41×C73—44no—
642C2×Q8×C73—42no—
643C2×Q8×C73C2412yes—
644C2×Q8×C73C2412yes—
645C2×D4×C73—28no—
646C2×D4×C73—42no—
647C2×D4×C73—44no—
648C2×D4×C73—44no—
649C2×D4×C73C2414yes—
650C2×D4×C73C2414yes—
651C2×D4×C73C2414yes—
652C2×D4×C73C2414yes—
653C2×D4×C73C2412yes—
654C2×D4×C73C2414yes—
655C2×D4×C73C2414yes—
656C2×D4×C73C2412yes—
657C22×C4×C73—24no—
658C22×C4×C73—24no—
659C22×C4×C73—24no—
660C22×C4×C73—42no—
661C22×C4×C73—42no—
662C22×C4×C73—42no—
663C22×C4×C73—42no—
664C22×C4×C73—42no—
665C22×C4×C73—42no—
666C22×C4×C73—42no—
667C22×C4×C73—42no—
668C22×C4×C73—44no—
669C22×C4×C73—42no—
670C22×C4×C73—42no—
671C22×C4×C73—42no—
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2412yes—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677C22×C4×C73C2411yescharacteristic
678C22×C4×C73C2411yescharacteristic
679C22×C4×C73C2411yescharacteristic
680C22×C4×C73C2414yes—
681C22×C4×C73C2411yescharacteristic
682C22×C4×C73C2411yescharacteristic
683C22×C4×C73C2411yescharacteristic
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2412yes—
690C22×C4×C73C2412yes—
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2414yes—
696C22×C4×C73C2411yescharacteristic
697C22×C4×C73C2411yescharacteristic
698C22×C4×C73C2411yescharacteristic
699C22×C4×C73C2411yescharacteristic
700C22×C4×C73C2411yescharacteristic
701C22×C4×C73C2411yescharacteristic
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704C22×C4×C73C2411yescharacteristic
705C4⋊C4×C73C2412yes—
706C4⋊C4×C73C2412yes—
707C4⋊C4×C73C2412yes—
708C4⋊C4×C73C2412yes—
709C4⋊C4×C73C2414yes—
710C4⋊C4×C73C2414yes—
711C4⋊C4×C73C2414yes—
712C4⋊C4×C73C2414yes—
713C22⋊C4×C73C2414yes—
714C22⋊C4×C73C2414yes—
715C22⋊C4×C73C2414yes—
716C22⋊C4×C73C2414yes—
717C22⋊C4×C73C2414yes—
718C22⋊C4×C73C2414yes—
719C22⋊C4×C73C2414yes—
720C22⋊C4×C73C2414yes—
721C22⋊C4×C73C2414yes—
722C22⋊C4×C73C2414yes—
723C42×C73C2414yes—
724C42×C73C2414yes—
725C23×C73—22no—
726C23×C73—22no—
727C23×C73—22no—
728C23×C73—22no—
729C23×C73—22no—
730C23×C73—22no—
731C23×C73—22no—
732C23×C73—22no—
733C23×C73—22no—
734C23×C73—22no—
735C23×C73—22no—
736C23×C73—22no—
737C23×C73—24no—
738C23×C73—41no—
739C23×C73—41no—
740C23×C73—41no—
741C23×C73—41no—
742C23×C73—41no—
743C23×C73—41no—
744C23×C73—41no—
745C23×C73—41no—
746C23×C73—42no—
747C23×C73—42no—
748C23×C73—416no—
749C23×C73H(5,𝔽2)14yescomplemented
750C23×C73C2511yescharacteristic
751C23×C73C2511yescharacteristic
752C23×C73C2514yes—
753C23×C73C2511yescharacteristic
754C23×C73C2511yescharacteristic
755C23×C73C2511yescharacteristic
756C23×C73C2511yescharacteristic
757C23×C73C2511yescharacteristic
758C22×D73—24no—
759C22×D73—28no—
760C22×D73—28no—
761C22×D73—28no—
762C22×D73—42no—
763C22×D73—44no—
764C22×D73—44no—
765C22×D73—42no—
766C22×D73—44no—
767C22×D73—44no—
768C22×D73—44no—
769C22×D73—44no—
770C22×D73—48no—
771C22×D73—48no—
772C22×D73—48no—
773C22×D73—816no—
774C22×D73C2518yes—
775C22×D73C2514yes—
776Q8×C73—24no—
777Q8×C73—42no—
778D4×C73—28no—
779D4×C73—28no—
780D4×C73—28no—
781D4×C73—28no—
782D4×C73—24no—
783D4×C73—44no—
784D4×C73—44no—
785D4×C73—42no—
786C2×C4×C73—22no—
787C2×C4×C73—22no—
788C2×C4×C73—22no—
789C2×C4×C73—24no—
790C2×C4×C73—22no—
791C2×C4×C73—22no—
792C2×C4×C73—22no—
793C2×C4×C73—22no—
794C2×C4×C73—22no—
795C2×C4×C73—22no—
796C2×C4×C73—22no—
797C2×C4×C73—22no—
798C2×C4×C73—22no—
799C2×C4×C73—22no—
800C2×C4×C73—22no—
801C2×C4×C73—22no—
802C2×C4×C73—28no—
803C2×C4×C73—41no—
804C2×C4×C73—41no—
805C2×C4×C73—41no—
806C2×C4×C73—41no—
807C2×C4×C73—41no—
808C2×C4×C73—41no—
809C2×C4×C73—41no—
810C2×C4×C73—41no—
811C2×C4×C73—41no—
812C2×C4×C73—41no—
813C2×C4×C73—41no—
814C2×C4×C73—41no—
815C2×C4×C73—42no—
816C2×C4×C73—44no—
817C2×C4×C73—42no—
818C2×C4×C73H(5,𝔽2)14yescomplemented
819C2×C4×C73C2511yescharacteristic
820C2×C4×C73C2514yes—
821C2×C4×C73C2514yes—
822C2×C4×C73C2511yescharacteristic
823C2×C4×C73C2511yescharacteristic
824C2×C4×C73C2511yescharacteristic
825C2×C4×C73C2511yescharacteristic
826C2×C4×C73C2514yes—
827C2×C4×C73C2511yescharacteristic
828C2×C4×C73C2511yescharacteristic
829C2×C4×C73C2511yescharacteristic
830C22⋊D73—28no—
831C22⋊D73—28no—
832C22⋊D73—216no—
833C22⋊D73—216no—
834C22⋊D73—28no—
835C22⋊D73—28no—
836C22⋊D73—48no—
837C22⋊D73—48no—
838C22⋊D73—48no—
839C22⋊D73—48no—
840C22⋊D73—48no—
841C22⋊D73—48no—
842C22⋊D73—44no—
843C22⋊D73—44no—
844C2×Dic73—28no—
845C2×Dic73—24no—
846C2×Dic73—42no—
847C2×Dic73—44no—
848C2×Dic73—44no—
849C2×Dic73—42no—
850C2×Dic73—48no—
851C2×Dic73C2514yes—
852C2×Dic73C2514yes—
853C2×Dic73C2518yes—
854C2×Dic73C2514yes—
855D292—28no—
856D292—28no—
857D292—24no—
858D292—48no—
859D292—48no—
860D292—48no—
861D292—44no—
862D292—44no—
863D292—42no—
864C4×D73—28no—
865C4×D73—44no—
866C4×D73—48no—
867C4×D73—48no—
868C4×D73—48no—
869C4×D73—48no—
870Dic146—24no—
871Dic146—42no—
872Dic146—48no—
873C22×C73—28no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—24no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—24no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—24no—
892C22×C73—21no—
893C22×C73—44no—
894C22×C73—44no—
895C22×C73—44no—
896C22×C73—44no—
897C22×C73—44no—
898C22×C73—44no—
899C22×C73—84no—
900C22×C73C2×H(5,𝔽2)12yes—
901C22×C73C2×H(5,𝔽2)12yes—
902C22×C73C2×H(5,𝔽2)12yes—
903C22×C73C2×H(5,𝔽2)12yes—
904C22×C73#58512yes—
905C22×C73C2611yescharacteristic
906C2×D73—24no—
907C2×D73—24no—
908C2×D73—28no—
909C2×D73—28no—
910C2×D73—28no—
911C2×D73—24no—
912C2×D73—84no—
913C2×D73—88no—
914C2×D73—88no—
915C2×D73—88no—
916C2×D73—168no—
917C4×C73—24no—
918C4×C73—21no—
919C4×C73—21no—
920C4×C73—24no—
921C4×C73—21no—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—21no—
925C4×C73—24no—
926C4×C73C2×H(5,𝔽2)12yes—
927C4×C73C2×H(5,𝔽2)12yes—
928Dic73—24no—
929Dic73—24no—
930Dic73—28no—
931Dic73—24no—
932#62818—731nomaximal, Sylow
933C2×C73—22no—
934C2×C73—22no—
935C2×C73—22no—
936C2×C73—22no—
937C2×C73—22no—
938C2×C73—44no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73C22×H(5,𝔽2)11yescharacteristic
942C2×C73C22×H(5,𝔽2)11yescharacteristic
943C2×C73C2×#58511yescharacteristic
944D73—48no—
945D73—44no—
946#3542—734no—
947#3542—734no—
948#3537—732no—
949#3537—732no—
950#3536—732no—
951#3536—732no—
952#3534—734no—
953#3534—734no—
954#3519—734no—
955#3519—734no—
956#3505—732no—
957#3505—732no—
958#3496—732no—
959#3496—732no—
960#3494—732no—
961#3494—732no—
962#3492—732no—
963#3490—734no—
964#3488—732no—
965#3488—732no—
966#3484—732no—
967#3484—734no—
968C2×#525—731no—
969C2×#525D7311yescharacteristic, complemented
970C22×#121—731no—
971C73#6281811yescharacteristic, complemented, Sylow
972C2×H(5,𝔽2)—732no—
973C2×H(5,𝔽2)—734no—
974C22×#41—731no—
975C22×#41C2×D7311yescharacteristic, complemented
976C23×D4—732no—
977C23×D4—731no—
978C24×C4C2×D7311yescharacteristic, complemented
979#562—738no—
980#562—738no—
981#560—738no—
982#560—738no—
983#555—734no—
984#555—734no—
985#554—734no—
986#554—734no—
987#553—734no—
988#553—734no—
989#553—734no—
990#553—734no—
991#553—738no—
992#553—734no—
993#553—734no—
994#553—738no—
995#552—734no—
996#552—734no—
997#551—738no—
998#551—738no—
999#551—738no—
1000#551—738no—
1001#550—734no—
1002#550—734no—
1003#548—734no—
1004#548—734no—
1005#547—734no—
1006#547—734no—
1007#547—734no—
1008#547—734no—
1009#546—738no—
1010#546—734no—
1011#546—738no—
1012#546—734no—
1013#546—734no—
1014#546—738no—
1015#546—738no—
1016#546—738no—
1017#546—738no—
1018#546—734no—
1019#546—734no—
1020#546—738no—
1021#546—734no—
1022#546—738no—
1023#546—738no—
1024#546—738no—
1025D42—738no—
1026D42—738no—
1027D42—734no—
1028D42—734no—
1029D42—734no—
1030D42—738no—
1031D42—738no—
1032D42—734no—
1033D42—734no—
1034D42—734no—
1035#544—732no—
1036#543—734no—
1037#542—734no—
1038#542—734no—
1039#540—738no—
1040#540—734no—
1041#540—738no—
1042#540—734no—
1043#539—738no—
1044#539—734no—
1045#539—734no—
1046#538—738no—
1047#538—734no—
1048#538—734no—
1049#538—734no—
1050#538—738no—
1051#538—738no—
1052#538—734no—
1053#537—732no—
1054#537—734no—
1055#537—734no—
1056#537—734no—
1057#537—734no—
1058#535—732no—
1059#535—734no—
1060#535—734no—
1061#535—738no—
1062#535—732no—
1063#534—734no—
1064#534—738no—
1065#534—734no—
1066#534—734no—
1067#534—738no—
1068#534—734no—
1069#534—734no—
1070#532—734no—
1071#532—734no—
1072#529—734no—
1073#529—734no—
1074#525—732no—
1075#525—732no—
1076#525—732no—
1077#525—732no—
1078#525—732no—
1079#525—732no—
1080#525—732no—
1081#525—732no—
1082#525—734no—
1083#525—734no—
1084#525—738no—
1085#525C2×D7312yescomplemented
1086#525C2×D7312yescomplemented
1087#525C2×D7312yescomplemented
1088#525C2×D7312yescomplemented
1089#525C2×D7312yescomplemented
1090#525C2×D7312yescomplemented
1091#525C2×D7312yescomplemented
1092#525C2×D7312yescomplemented
1093C2×#123—732no—
1094C2×#123C2×D7312yescomplemented
1095C2×C22⋊Q8—731no—
1096C2×C22⋊Q8—731no—
1097C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1098C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1099C2×#121—732no—
1100C2×#121—732no—
1101C2×#121—732no—
1102C2×#121—732no—
1103C2×#121—732no—
1104C2×#121—732no—
1105C2×#121—732no—
1106C2×#121—732no—
1107C2×#121—732no—
1108C2×#121—732no—
1109C2×#121—732no—
1110C2×#121—732no—
1111C2×#121—731no—
1112C2×#121—731no—
1113C2×#121—734no—
1114C2×#121—734no—
1115C2×#121C2×D7311yescharacteristic, complemented
1116C2×#121C2×D7311yescharacteristic, complemented
1117C2×#120—732no—
1118C2×#120—738no—
1119C2×#120C2×D7312yescomplemented
1120#520—732no—
1121#520—732no—
1122#518—738no—
1123#518—732no—
1124#518—734no—
1125C2×C4×D4—732no—
1126C2×C4×D4—732no—
1127C2×C4×D4C2×D7312yescomplemented
1128C2×C4×D4C2×D7312yescomplemented
1129C2×#117—731no—
1130C2×#117C2×D7311yescharacteristic, complemented
1131C22×C4⋊C4—731no—
1132C22×C22⋊C4—732no—
1133C25—732no—
1134C25C22×D7311yescharacteristic
1135H(5,𝔽2)—29216no—
1136H(5,𝔽2)—2928no—
1137C2×#41—44no—
1138C2×#41—2924no—
1139C2×#41—734no—
1140C2×#41—738no—
1141C2×#41—738no—
1142C2×#41—732no—
1143C2×#41—732no—
1144C2×#41—732no—
1145C2×#41—734no—
1146C2×#41—738no—
1147C2×#41—732no—
1148C2×#41C22×D7312yes—
1149C2×#41C22×D7312yes—
1150C2×#41C22×D7312yescomplemented
1151C2×#41C22×D7312yescomplemented
1152C22×Q8—731no—
1153C22×Q8C22×D7311yescharacteristic, complemented
1154C22×D4—2924no—
1155C22×D4—2928no—
1156C22×D4—732no—
1157C22×D4—732no—
1158C22×D4—734no—
1159C22×D4—734no—
1160C22×D4—734no—
1161C22×D4—734no—
1162C22×D4—734no—
1163C22×D4—738no—
1164C22×D4—738no—
1165C22×D4—738no—
1166C22×D4—738no—
1167C22×D4—738no—
1168C22×D4—734no—
1169C22×D4—732no—
1170C22×D4—734no—
1171C22×D4—732no—
1172C22×D4—731no—
1173C22×D4—732no—
1174C22×D4—732no—
1175C22×D4—732no—
1176C22×D4—732no—
1177C22×D4—734no—
1178C22×D4—732no—
1179C22×D4C22×D7312yes—
1180C22×D4C22×D7312yes—
1181C22×D4C22×D7312yes—
1182C22×D4C22×D7311yescharacteristic, complemented
1183C23×C4—44no—
1184C23×C4—732no—
1185C23×C4—732no—
1186C23×C4C22×D7311yescharacteristic
1187C23×C4C22×D7311yescharacteristic
1188C23×C4C22×D7311yescharacteristic
1189C23×C4C22×D7311yescharacteristic
1190C23×C4C22×D7311yescharacteristic
1191C23×C4C22×D7311yescharacteristic
1192C23×C4C22×D7311yescharacteristic
1193C23×C4C22×D7311yescharacteristic
1194C23×C4C22×D7311yescharacteristic
1195C23×C4C22×D7311yescharacteristic
1196C23×C4C22×D7311yescharacteristic
1197C23×C4C22×D7311yescharacteristic
1198C23×C4C22×D7311yescharacteristic
1199C23×C4C22×D7311yescharacteristic
1200C23×C4C22×D7312yescomplemented
1201C4⋊Q8—734no—
1202C4⋊Q8—734no—
1203#127—734no—
1204#127—738no—
1205#127—738no—
1206#127—734no—
1207#126—738no—
1208#126—738no—
1209#126—738no—
1210#126—738no—
1211#126—738no—
1212#126—738no—
1213#125—734no—
1214#125—738no—
1215#125—738no—
1216#125—734no—
1217#124—734no—
1218#124—738no—
1219#124—738no—
1220#124—738no—
1221#124—738no—
1222#124—738no—
1223#124—734no—
1224#124—738no—
1225#123—738no—
1226#123—734no—
1227#123—734no—
1228#123—734no—
1229#123—734no—
1230#123—738no—
1231#123—738no—
1232#123—738no—
1233#123—738no—
1234#123—738no—
1235#123—738no—
1236#123—738no—
1237#123—738no—
1238#123—738no—
1239#123—738no—
1240#123—738no—
1241#123—738no—
1242#123—738no—
1243#123—738no—
1244#123—738no—
1245#123C22×D7314yes—
1246#123C22×D7314yes—
1247#123C22×D7314yescomplemented
1248#123C22×D7314yescomplemented
1249C22⋊Q8—734no—
1250C22⋊Q8—738no—
1251C22⋊Q8—732no—
1252C22⋊Q8—732no—
1253C22⋊Q8—732no—
1254C22⋊Q8—732no—
1255C22⋊Q8—732no—
1256C22⋊Q8—732no—
1257C22⋊Q8—732no—
1258C22⋊Q8—732no—
1259C22⋊Q8—734no—
1260C22⋊Q8—738no—
1261C22⋊Q8—738no—
1262C22⋊Q8—738no—
1263C22⋊Q8—738no—
1264C22⋊Q8—738no—
1265C22⋊Q8—738no—
1266C22⋊Q8—738no—
1267C22⋊Q8C22×D7312yes—
1268C22⋊Q8C22×D7312yes—
1269C22⋊Q8C22×D7312yes—
1270C22⋊Q8C22×D7312yes—
1271C22⋊Q8C22×D7312yescomplemented
1272C22⋊Q8C22×D7312yescomplemented
1273C22⋊Q8C22×D7312yescomplemented
1274C22⋊Q8C22×D7312yescomplemented
1275#121—738no—
1276#121—734no—
1277#121—738no—
1278#121—738no—
1279#121—738no—
1280#121—738no—
1281#121—738no—
1282#121—738no—
1283#121—738no—
1284#121—738no—
1285#121—734no—
1286#121—734no—
1287#121—732no—
1288#121—734no—
1289#121—734no—
1290#121—734no—
1291#121—734no—
1292#121—734no—
1293#121—734no—
1294#121—734no—
1295#121—734no—
1296#121—734no—
1297#121—734no—
1298#121—734no—
1299#121—734no—
1300#121—734no—
1301#121—734no—
1302#121—732no—
1303#121—732no—
1304#121—732no—
1305#121—732no—
1306#121—732no—
1307#121—732no—
1308#121—732no—
1309#121—738no—
1310#121—734no—
1311#121—734no—
1312#121—738no—
1313#121—734no—
1314#121—738no—
1315#121—734no—
1316#121—734no—
1317#121—738no—
1318#121—738no—
1319#121—738no—
1320#121—738no—
1321#121—738no—
1322#121—738no—
1323#121—738no—
1324#121—738no—
1325#121—738no—
1326#121—738no—
1327#121C22×D7312yes—
1328#121C22×D7312yes—
1329#121C22×D7312yes—
1330#121C22×D7312yes—
1331#121C22×D7312yescomplemented
1332#121C22×D7312yescomplemented
1333#121C22×D7312yescomplemented
1334#121C22×D7312yescomplemented
1335#120—734no—
1336#120—734no—
1337#120—734no—
1338#120—734no—
1339#120—738no—
1340#120—738no—
1341#120—738no—
1342#120—738no—
1343#120—738no—
1344#120—738no—
1345#120—738no—
1346#120—738no—
1347#120—738no—
1348#120—738no—
1349#120—738no—
1350#120—738no—
1351#120—738no—
1352#120—738no—
1353#120C22×D7314yes—
1354#120C22×D7314yes—
1355#120C22×D7314yes—
1356#120C22×D7314yes—
1357C4×Q8—734no—
1358C4×Q8—734no—
1359C4×D4—738no—
1360C4×D4—738no—
1361C4×D4—734no—
1362C4×D4—734no—
1363C4×D4—734no—
1364C4×D4—734no—
1365C4×D4—734no—
1366C4×D4—734no—
1367C4×D4—734no—
1368C4×D4—734no—
1369C4×D4—734no—
1370C4×D4—738no—
1371C4×D4—738no—
1372C4×D4—738no—
1373C4×D4—738no—
1374C4×D4—734no—
1375C4×D4—734no—
1376C4×D4—738no—
1377C4×D4—738no—
1378C4×D4—738no—
1379C4×D4—738no—
1380C4×D4—738no—
1381C4×D4—734no—
1382C4×D4—738no—
1383C4×D4—734no—
1384C4×D4—734no—
1385C4×D4C22×D7314yes—
1386C4×D4C22×D7314yes—
1387C4×D4C22×D7314yes—
1388C4×D4C22×D7314yes—
1389C4×D4C22×D7314yescomplemented
1390C4×D4C22×D7314yescomplemented
1391C4×D4C22×D7314yescomplemented
1392C4×D4C22×D7314yescomplemented
1393#117—732no—
1394#117—732no—
1395#117—732no—
1396#117—732no—
1397#117—734no—
1398#117—738no—
1399#117—734no—
1400#117—738no—
1401#117—738no—
1402#117C22×D7312yes—
1403#117C22×D7312yes—
1404#117C22×D7312yescomplemented
1405#117C22×D7312yescomplemented
1406C2×C4⋊C4—732no—
1407C2×C4⋊C4—732no—
1408C2×C4⋊C4—732no—
1409C2×C4⋊C4—732no—
1410C2×C4⋊C4—732no—
1411C2×C4⋊C4—732no—
1412C2×C4⋊C4—731no—
1413C2×C4⋊C4—731no—
1414C2×C4⋊C4—732no—
1415C2×C4⋊C4—732no—
1416C2×C4⋊C4—734no—
1417C2×C4⋊C4—734no—
1418C2×C4⋊C4C22×D7311yescharacteristic, complemented
1419C2×C4⋊C4C22×D7311yescharacteristic, complemented
1420C2×C4⋊C4C22×D7312yescomplemented
1421C2×C4⋊C4C22×D7312yescomplemented
1422C2×C22⋊C4—732no—
1423C2×C22⋊C4—732no—
1424C2×C22⋊C4—732no—
1425C2×C22⋊C4—734no—
1426C2×C22⋊C4—734no—
1427C2×C22⋊C4—734no—
1428C2×C22⋊C4—734no—
1429C2×C22⋊C4—734no—
1430C2×C22⋊C4—734no—
1431C2×C22⋊C4—732no—
1432C2×C22⋊C4—732no—
1433C2×C22⋊C4—738no—
1434C2×C22⋊C4—738no—
1435C2×C22⋊C4—738no—
1436C2×C22⋊C4—738no—
1437C2×C22⋊C4—738no—
1438C2×C22⋊C4C22×D7312yes—
1439C2×C22⋊C4C22×D7312yes—
1440C2×C22⋊C4C22×D7312yes—
1441C2×C22⋊C4C22×D7312yescomplemented
1442C2×C22⋊C4C22×D7312yescomplemented
1443C2×C42—732no—
1444C2×C42C22×D7312yescomplemented
1445C24—24no—
1446C24—42no—
1447C24—42no—
1448C24—2924no—
1449C24—2924no—
1450C24—2924no—
1451C24—738no—
1452C24—734no—
1453C24—734no—
1454C24—734no—
1455C24—732no—
1456C24C23×D7311yescharacteristic
1457C24C23×D7311yescharacteristic
1458C24C23×D7311yescharacteristic
1459C24C23×D7311yescharacteristic
1460C24C23×D7311yescharacteristic
1461C24C23×D7312yes—
1462C24C23×D7311yescharacteristic
1463C24C23×D7311yescharacteristic
1464#41—28no—
1465#41—44no—
1466#41—44no—
1467#41—44no—
1468#41—2924no—
1469#41—2928no—
1470#41—2924no—
1471#41—29216no—
1472#41—2924no—
1473#41—29216no—
1474#41—29216no—
1475#41—2928no—
1476#41—1468no—
1477C2×Q8—42no—
1478C2×Q8—2922no—
1479C2×Q8—732no—
1480C2×Q8—738no—
1481C2×Q8—732no—
1482C2×Q8C23×D7312yes—
1483C2×Q8C23×D7312yes—
1484C2×D4—28no—
1485C2×D4—42no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—2924no—
1489C2×D4—2924no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2922no—
1494C2×D4—2928no—
1495C2×D4—29216no—
1496C2×D4—29216no—
1497C2×D4—29216no—
1498C2×D4—29216no—
1499C2×D4—2928no—
1500C2×D4—2928no—
1501C2×D4—2928no—
1502C2×D4—2928no—
1503C2×D4—2924no—
1504C2×D4—2924no—
1505C2×D4—29216no—
1506C2×D4—2928no—
1507C2×D4—2928no—
1508C2×D4—738no—
1509C2×D4—734no—
1510C2×D4—734no—
1511C2×D4—738no—
1512C2×D4—738no—
1513C2×D4—738no—
1514C2×D4—738no—
1515C2×D4—738no—
1516C2×D4—734no—
1517C2×D4—734no—
1518C2×D4—734no—
1519C2×D4—734no—
1520C2×D4—738no—
1521C2×D4—738no—
1522C2×D4—738no—
1523C2×D4—732no—
1524C2×D4—738no—
1525C2×D4—738no—
1526C2×D4—734no—
1527C2×D4—734no—
1528C2×D4—734no—
1529C2×D4—734no—
1530C2×D4—732no—
1531C2×D4—14616no—
1532C2×D4—1468no—
1533C2×D4—1468no—
1534C2×D4C23×D7314yes—
1535C2×D4C23×D7314yes—
1536C2×D4C23×D7312yes—
1537C2×D4C23×D7314yes—
1538C2×D4C23×D7314yes—
1539C2×D4C23×D7314yes—
1540C2×D4C23×D7312yes—
1541C2×D4C23×D7314yes—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—42no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—44no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—2924no—
1558C22×C4—2924no—
1559C22×C4—732no—
1560C22×C4—732no—
1561C22×C4—734no—
1562C22×C4—734no—
1563C22×C4—738no—
1564C22×C4—738no—
1565C22×C4—734no—
1566C22×C4—738no—
1567C22×C4—738no—
1568C22×C4—738no—
1569C22×C4—732no—
1570C22×C4—734no—
1571C22×C4—734no—
1572C22×C4C23×D7311yescharacteristic
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7312yes—
1575C22×C4C23×D7311yescharacteristic
1576C22×C4C23×D7311yescharacteristic
1577C22×C4C23×D7311yescharacteristic
1578C22×C4C23×D7311yescharacteristic
1579C22×C4C23×D7311yescharacteristic
1580C22×C4C23×D7311yescharacteristic
1581C22×C4C23×D7311yescharacteristic
1582C22×C4C23×D7311yescharacteristic
1583C22×C4C23×D7314yes—
1584C22×C4C23×D7311yescharacteristic
1585C22×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589C22×C4C23×D7312yes—
1590C22×C4C23×D7311yescharacteristic
1591C22×C4C23×D7311yescharacteristic
1592C22×C4C23×D7311yescharacteristic
1593C22×C4C23×D7311yescharacteristic
1594C22×C4C23×D7311yescharacteristic
1595C22×C4C23×D7311yescharacteristic
1596C22×C4C23×D7314yes—
1597C22×C4C23×D7312yes—
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601C22×C4C23×D7311yescharacteristic
1602C22×C4C23×D7311yescharacteristic
1603C22×C4C23×D7311yescharacteristic
1604C22×C4C23×D7311yescharacteristic
1605C4⋊C4—734no—
1606C4⋊C4—734no—
1607C4⋊C4—734no—
1608C4⋊C4—734no—
1609C4⋊C4—738no—
1610C4⋊C4—738no—
1611C4⋊C4—738no—
1612C4⋊C4—738no—
1613C4⋊C4—734no—
1614C4⋊C4—734no—
1615C4⋊C4—732no—
1616C4⋊C4—734no—
1617C4⋊C4—734no—
1618C4⋊C4—732no—
1619C4⋊C4—732no—
1620C4⋊C4—732no—
1621C4⋊C4—738no—
1622C4⋊C4—738no—
1623C4⋊C4C23×D7312yes—
1624C4⋊C4C23×D7312yes—
1625C4⋊C4C23×D7314yes—
1626C4⋊C4C23×D7312yes—
1627C4⋊C4C23×D7312yes—
1628C4⋊C4C23×D7314yes—
1629C4⋊C4C23×D7314yes—
1630C4⋊C4C23×D7314yes—
1631C22⋊C4—734no—
1632C22⋊C4—734no—
1633C22⋊C4—734no—
1634C22⋊C4—734no—
1635C22⋊C4—734no—
1636C22⋊C4—738no—
1637C22⋊C4—734no—
1638C22⋊C4—738no—
1639C22⋊C4—738no—
1640C22⋊C4—738no—
1641C22⋊C4—734no—
1642C22⋊C4—738no—
1643C22⋊C4—738no—
1644C22⋊C4—738no—
1645C22⋊C4—738no—
1646C22⋊C4—738no—
1647C22⋊C4—738no—
1648C22⋊C4—738no—
1649C22⋊C4—738no—
1650C22⋊C4—738no—
1651C22⋊C4—734no—
1652C22⋊C4—734no—
1653C22⋊C4—734no—
1654C22⋊C4—738no—
1655C22⋊C4C23×D7314yes—
1656C22⋊C4C23×D7314yes—
1657C22⋊C4C23×D7314yes—
1658C22⋊C4C23×D7314yes—
1659C22⋊C4C23×D7314yes—
1660C22⋊C4C23×D7314yes—
1661C22⋊C4C23×D7314yes—
1662C22⋊C4C23×D7314yes—
1663C22⋊C4C23×D7314yes—
1664C22⋊C4C23×D7314yes—
1665C42—734no—
1666C42—734no—
1667C42—738no—
1668C42—738no—
1669C42C23×D7314yes—
1670C42C23×D7314yes—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—42no—
1693C23—42no—
1694C23—416no—
1695C23—2922no—
1696C23—2924no—
1697C23—2924no—
1698C23—2924no—
1699C23—2924no—
1700C23—2922no—
1701C23—2924no—
1702C23—2924no—
1703C23—2928no—
1704C23—2928no—
1705C23—2928no—
1706C23—58416no—
1707C23—738no—
1708C23—734no—
1709C23—1468no—
1710C23—1464no—
1711C23—1468no—
1712C23—1468no—
1713C23#1455663714yescomplemented
1714C23C24×D7314yes—
1715C23C24×D7311yescharacteristic
1716C23C24×D7311yescharacteristic
1717C23C24×D7311yescharacteristic
1718C23C24×D7311yescharacteristic
1719C23C24×D7311yescharacteristic
1720C23C24×D7311yescharacteristic
1721C23C24×D7311yescharacteristic
1722Q8—24no—
1723Q8—42no—
1724Q8—2922no—
1725Q8—2928no—
1726Q8—1464no—
1727D4—28no—
1728D4—28no—
1729D4—28no—
1730D4—28no—
1731D4—24no—
1732D4—42no—
1733D4—44no—
1734D4—44no—
1735D4—2924no—
1736D4—2924no—
1737D4—2928no—
1738D4—2928no—
1739D4—2922no—
1740D4—2928no—
1741D4—2928no—
1742D4—2928no—
1743D4—2928no—
1744D4—2928no—
1745D4—2928no—
1746D4—2924no—
1747D4—2928no—
1748D4—2924no—
1749D4—1468no—
1750D4—14616no—
1751D4—14616no—
1752D4—1468no—
1753D4—1468no—
1754D4—1468no—
1755D4—1468no—
1756D4—1468no—
1757D4—1464no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—28no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—42no—
1788C2×C4—44no—
1789C2×C4—42no—
1790C2×C4—2924no—
1791C2×C4—2928no—
1792C2×C4—2928no—
1793C2×C4—2928no—
1794C2×C4—2928no—
1795C2×C4—2924no—
1796C2×C4—2924no—
1797C2×C4—2922no—
1798C2×C4—2928no—
1799C2×C4—2922no—
1800C2×C4—734no—
1801C2×C4—734no—
1802C2×C4—734no—
1803C2×C4—738no—
1804C2×C4—1468no—
1805C2×C4—1464no—
1806C2×C4—1468no—
1807C2×C4#1455663614yescomplemented
1808C2×C4C24×D7311yescharacteristic
1809C2×C4C24×D7314yes—
1810C2×C4C24×D7314yes—
1811C2×C4C24×D7311yescharacteristic
1812C2×C4C24×D7314yes—
1813C2×C4C24×D7311yescharacteristic
1814C2×C4C24×D7311yescharacteristic
1815C2×C4C24×D7311yescharacteristic
1816C2×C4C24×D7311yescharacteristic
1817C2×C4C24×D7311yescharacteristic
1818C2×C4C24×D7311yescharacteristic
1819C22—28no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—24no—
1833C22—24no—
1834C22—21no—
1835C22—21no—
1836C22—24no—
1837C22—21no—
1838C22—21no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—44no—
1845C22—84no—
1846C22—5848no—
1847C22—5848no—
1848C22—5848no—
1849C22—5844no—
1850C22—11688no—
1851C22—1464no—
1852C22—1468no—
1853C22—1464no—
1854C22—1468no—
1855C22—1468no—
1856C22—1464no—
1857C22C2×#1455663612yes—
1858C22C2×#1455663712yes—
1859C22C2×#1455663712yes—
1860C22C2×#1455663712yes—
1861C22#1798942312yes—
1862C22C25×D7311yescharacteristic
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—24no—
1870C4—24no—
1871C4—24no—
1872C4—1464no—
1873C4—1468no—
1874C4—1464no—
1875C4—1464no—
1876C4C2×#1455663612yes—
1877C4C2×#1455663612yes—
1878C2—22no—
1879C2—22no—
1880C2—22no—
1881C2—22no—
1882C2—22no—
1883C2—41no—
1884C2—41no—
1885C2—44no—
1886C2—2928no—
1887C2—2924no—
1888C2C22×#1455663611yescharacteristic
1889C2C22×#1455663711yescharacteristic
1890C2C2×#1798942311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC2×#525×C73C2
hypercenterC2×#525D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #22624247C2semidirect
2. #22624239C2semidirect
3. #22624170C2semidirect
4. #22624166C2semidirect
5. #22624160C2semidirect
6. #22624158C2semidirect
7. #22624125C2semidirect
8. #22624115C2semidirect
9. #22623963C2semidirect
10. #22623951C2semidirect
11. #22623772C2semidirect
12. #22623770C2semidirect
13. #22623695C2semidirect
14. #22623688C2semidirect
15. #22623668C2semidirect
16. #22623666C2semidirect
17. #22623637C2semidirect
18. #22623614C2semidirect
19. #22623600C2semidirect
20. #22623592C2semidirect
21. #22623564C2semidirect
22. #22623560C2semidirect
23. C2×#17989098C2semidirect
24. C22×#14556565C2semidirect
25. C2×#525×C73C2semidirect
26. C2×#14556637C22semidirect
27. C2×#14556636C22semidirect
28. C22×#11924028C22semidirect
29. C23×D292C22semidirect
30. C23×C22⋊D73C22semidirect
31. #17989334C22semidirect
32. #17989333C22semidirect
33. #17989327C22semidirect
34. #17989325C22semidirect
35. #17989302C22semidirect
36. #17989300C22semidirect
37. #17989295C22semidirect
38. #17989294C22semidirect
39. #17989289C22semidirect
40. #17989286C22semidirect
41. #17989285C22semidirect
42. #17989285C22semidirect
43. #17989283C22semidirect
44. #17989283C22semidirect
45. #17989283C22semidirect
46. #17989281C22semidirect
47. #17989279C22semidirect
48. #17989277C22semidirect
49. #17989266C22semidirect
50. #17989264C22semidirect
51. #17989261C22semidirect
52. #17989260C22semidirect
53. #17989258C22semidirect
54. #17989256C22semidirect
55. #17989248C22semidirect
56. #17989246C22semidirect
57. #17989241C22semidirect
58. #17989241C22semidirect
59. #17989238C22semidirect
60. #17989237C22semidirect
61. #17989233C22semidirect
62. #17989233C22semidirect
63. #17989233C22semidirect
64. #17989232C22semidirect
65. #17989232C22semidirect
66. #17989229C22semidirect
67. #17989228C22semidirect
68. #17989228C22semidirect
69. #17989227C22semidirect
70. #17989227C22semidirect
71. #17989227C22semidirect
72. #17989226C22semidirect
73. #17989225C22semidirect
74. #17989225C22semidirect
75. #17989224C22semidirect
76. #17989224C22semidirect
77. D4×D292C22semidirect
78. D4×D292C22semidirect
79. D4×D292C22semidirect
80. #17989221C22semidirect
81. #17989221C22semidirect
82. D4×C22⋊D73C22semidirect
83. D4×C22⋊D73C22semidirect
84. D4×C22⋊D73C22semidirect
85. #17989219C22semidirect
86. #17989219C22semidirect
87. #17989215C22semidirect
88. #17989212C22semidirect
89. #17989210C22semidirect
90. #17989208C22semidirect
91. #17989192C22semidirect
92. #17989190C22semidirect
93. #17989189C22semidirect
94. #17989188C22semidirect
95. #17989186C22semidirect
96. #17989184C22semidirect
97. #17989181C22semidirect
98. #17989177C22semidirect
99. #17989177C22semidirect
100. #17989175C22semidirect
101. #17989174C22semidirect
102. #17989173C22semidirect
103. #17989170C22semidirect
104. #17989170C22semidirect
105. #17989168C22semidirect
106. #17989167C22semidirect
107. #17989165C22semidirect
108. #17989165C22semidirect
109. #17989164C22semidirect
110. #17989156C22semidirect
111. #17989153C22semidirect
112. #17989152C22semidirect
113. #17989151C22semidirect
114. #17989151C22semidirect
115. #17989149C22semidirect
116. #17989149C22semidirect
117. #17989148C22semidirect
118. #17989147C22semidirect
119. #17989146C22semidirect
120. #17989145C22semidirect
121. #17989145C22semidirect
122. #17989137C22semidirect
123. #17989132C22semidirect
124. #17989123C22semidirect
125. #17989121C22semidirect
126. #17989100C22semidirect
127. #17989098C22semidirect
128. #17989098C22semidirect
129. #17989098C22semidirect
130. #17989098C22semidirect
131. #17989098C22semidirect
132. #17989098C22semidirect
133. #17989098C22semidirect
134. #17989098C22semidirect
135. #17989098C22semidirect
136. #17989093C22semidirect
137. C2×#14556574C22semidirect
138. C2×#14556570C22semidirect
139. C2×#14556570C22semidirect
140. C2×#14556565C22semidirect
141. C2×#14556565C22semidirect
142. C2×#14556565C22semidirect
143. C2×#14556565C22semidirect
144. C2×#14556565C22semidirect
145. C2×#14556565C22semidirect
146. C2×#14556565C22semidirect
147. C2×#14556565C22semidirect
148. C2×#14556565C22semidirect
149. C2×#14556565C22semidirect
150. C2×#14556565C22semidirect
151. C2×#14556565C22semidirect
152. C2×#14556565C22semidirect
153. C2×#14556565C22semidirect
154. C2×#14556565C22semidirect
155. #121×D73C22semidirect
156. C2×#14556560C22semidirect
157. #120×D73C22semidirect
158. #17989070C22semidirect
159. #17989067C22semidirect
160. #17989061C22semidirect
161. #17989060C22semidirect
162. #17989059C22semidirect
163. C2×C4×C22⋊D73C22semidirect
164. C2×C4×C22⋊D73C22semidirect
165. C2×#14556550C22semidirect
166. C22×C4⋊Dic73C22semidirect
167. C22×#11924005C22semidirect
168. C22×#41×C73C22semidirect
169. C24×C4×C73C22semidirect
170. #525×C73C22semidirect
171. #525×C73C22semidirect
172. #525×C73C22semidirect
173. #525×C73C22semidirect
174. #525×C73C22semidirect
175. #525×C73C22semidirect
176. #525×C73C22semidirect
177. #525×C73C22semidirect
178. C2×#123×C73C22semidirect
179. C2×C22⋊Q8×C73C22semidirect
180. C2×C22⋊Q8×C73C22semidirect
181. C2×#121×C73C22semidirect
182. C2×#121×C73C22semidirect
183. C2×#120×C73C22semidirect
184. C2×C4×D4×C73C22semidirect
185. C2×C4×D4×C73C22semidirect
186. C2×#117×C73C22semidirect
190. C2×#11924029C23semidirect
194. C2×#11924028C23semidirect
195. C2×#11924028C23semidirect
196. C2×#11924028C23semidirect
197. C2×#11924028C23semidirect
199. C2×#11924027C23semidirect
200. C22×Dic146C23semidirect
208. C22×D292C23semidirect
209. C22×D292C23semidirect
220. C22×C22⋊D73C23semidirect
224. C2×D4×D73C23semidirect
225. C2×D4×D73C23semidirect
227. C22×C4×D73C23semidirect
228. #14556591C23semidirect
229. #14556590C23semidirect
230. #14556588C23semidirect
231. #14556587C23semidirect
232. #14556587C23semidirect
233. #14556587C23semidirect
234. #14556586C23semidirect
235. #14556586C23semidirect
236. #14556586C23semidirect
237. #14556586C23semidirect
238. #14556585C23semidirect
239. #14556584C23semidirect
240. #14556583C23semidirect
241. #14556582C23semidirect
242. #14556582C23semidirect
243. #14556581C23semidirect
244. #14556580C23semidirect
245. #14556580C23semidirect
246. #14556579C23semidirect
247. #14556579C23semidirect
248. #14556577C23semidirect
249. #14556577C23semidirect
250. #14556577C23semidirect
251. #14556577C23semidirect
252. #14556576C23semidirect
253. #14556576C23semidirect
254. #14556576C23semidirect
255. #14556576C23semidirect
256. #14556576C23semidirect
258. #14556575C23semidirect
259. #14556575C23semidirect
260. #14556575C23semidirect
263. #14556574C23semidirect
264. #14556574C23semidirect
265. #14556574C23semidirect
266. #14556574C23semidirect
267. #14556573C23semidirect
268. #14556573C23semidirect
269. #14556573C23semidirect
270. #14556573C23semidirect
272. #14556571C23semidirect
273. #14556571C23semidirect
278. #14556570C23semidirect
279. #14556570C23semidirect
280. #14556570C23semidirect
281. #14556570C23semidirect
282. #14556570C23semidirect
283. #14556569C23semidirect
284. #14556569C23semidirect
287. #14556568C23semidirect
288. #14556567C23semidirect
289. #14556567C23semidirect
290. #14556566C23semidirect
291. #14556566C23semidirect
292. #14556566C23semidirect
293. #14556566C23semidirect
294. #14556566C23semidirect
315. #14556565C23semidirect
316. #14556565C23semidirect
317. #14556565C23semidirect
318. #14556565C23semidirect
319. #14556565C23semidirect
320. #14556565C23semidirect
321. #14556565C23semidirect
322. #14556565C23semidirect
323. #14556565C23semidirect
324. #14556565C23semidirect
325. #14556564C23semidirect
326. #14556564C23semidirect
327. #14556564C23semidirect
328. #14556564C23semidirect
329. #14556564C23semidirect
330. #14556564C23semidirect
331. #14556564C23semidirect
334. #14556563C23semidirect
335. #14556563C23semidirect
336. #14556563C23semidirect
337. #14556563C23semidirect
338. #14556563C23semidirect
339. #14556562C23semidirect
340. #14556562C23semidirect
341. #14556562C23semidirect
345. #14556561C23semidirect
346. #14556561C23semidirect
347. #14556561C23semidirect
348. #14556561C23semidirect
353. #14556560C23semidirect
357. #14556559C23semidirect
358. #14556559C23semidirect
359. #14556559C23semidirect
360. Q8×Dic73C23semidirect
361. C4×Dic146C23semidirect
362. C4×D292C23semidirect
363. C4×D292C23semidirect
364. C4×D292C23semidirect
365. C4×D292C23semidirect
368. D4×Dic73C23semidirect
369. #14556553C23semidirect
370. #14556553C23semidirect
371. #14556553C23semidirect
376. C4×C22⋊D73C23semidirect
377. C4×C22⋊D73C23semidirect
378. C4×C22⋊D73C23semidirect
379. C4×C22⋊D73C23semidirect
380. C4×C22⋊D73C23semidirect
381. C4×C22⋊D73C23semidirect
382. C4×C22⋊D73C23semidirect
385. #14556551C23semidirect
386. #14556551C23semidirect
387. #14556551C23semidirect
390. #14556550C23semidirect
391. #14556550C23semidirect
392. #14556550C23semidirect
393. #14556549C23semidirect
394. #14556549C23semidirect
395. #14556548C23semidirect
403. C2×C4⋊Dic73C23semidirect
404. C2×C4⋊Dic73C23semidirect
405. C2×C4⋊Dic73C23semidirect
406. C2×#11924007C23semidirect
407. C2×#11924007C23semidirect
408. C4⋊C4×D73C23semidirect
418. C2×#11924005C23semidirect
419. C2×#11924005C23semidirect
420. C2×#11924005C23semidirect
424. C22⋊C4×D73C23semidirect
425. C2×C4×Dic73C23semidirect
430. C2×#41×C73C23semidirect
431. C2×#41×C73C23semidirect
432. C22×Q8×C73C23semidirect
436. C22×D4×C73C23semidirect
452. C23×C4×C73C23semidirect
455. #123×C73C23semidirect
456. #123×C73C23semidirect
461. C22⋊Q8×C73C23semidirect
462. C22⋊Q8×C73C23semidirect
463. C22⋊Q8×C73C23semidirect
464. C22⋊Q8×C73C23semidirect
469. #121×C73C23semidirect
470. #121×C73C23semidirect
471. #121×C73C23semidirect
472. #121×C73C23semidirect
481. C4×D4×C73C23semidirect
482. C4×D4×C73C23semidirect
483. C4×D4×C73C23semidirect
484. C4×D4×C73C23semidirect
487. #117×C73C23semidirect
488. #117×C73C23semidirect
489. C2×C4⋊C4×C73C23semidirect
490. C2×C4⋊C4×C73C23semidirect
491. C2×C4⋊C4×C73C23semidirect
492. C2×C4⋊C4×C73C23semidirect
496. C2×C22⋊C4×C73C23semidirect
497. C2×C22⋊C4×C73C23semidirect
498. C2×C42×C73C23semidirect
749. C23×C73H(5,𝔽2)semidirect
818. C2×C4×C73H(5,𝔽2)semidirect
969. C2×#525D73semidirect
971. C73#62818semidirect
975. C22×#41C2×D73semidirect
978. C24×C4C2×D73semidirect
1085. #525C2×D73semidirect
1086. #525C2×D73semidirect
1087. #525C2×D73semidirect
1088. #525C2×D73semidirect
1089. #525C2×D73semidirect
1090. #525C2×D73semidirect
1091. #525C2×D73semidirect
1092. #525C2×D73semidirect
1094. C2×#123C2×D73semidirect
1097. C2×C22⋊Q8C2×D73semidirect
1098. C2×C22⋊Q8C2×D73semidirect
1115. C2×#121C2×D73semidirect
1116. C2×#121C2×D73semidirect
1119. C2×#120C2×D73semidirect
1127. C2×C4×D4C2×D73semidirect
1128. C2×C4×D4C2×D73semidirect
1130. C2×#117C2×D73semidirect
1150. C2×#41C22×D73semidirect
1151. C2×#41C22×D73semidirect
1153. C22×Q8C22×D73semidirect
1182. C22×D4C22×D73semidirect
1200. C23×C4C22×D73semidirect
1247. #123C22×D73semidirect
1248. #123C22×D73semidirect
1271. C22⋊Q8C22×D73semidirect
1272. C22⋊Q8C22×D73semidirect
1273. C22⋊Q8C22×D73semidirect
1274. C22⋊Q8C22×D73semidirect
1331. #121C22×D73semidirect
1332. #121C22×D73semidirect
1333. #121C22×D73semidirect
1334. #121C22×D73semidirect
1389. C4×D4C22×D73semidirect
1390. C4×D4C22×D73semidirect
1391. C4×D4C22×D73semidirect
1392. C4×D4C22×D73semidirect
1404. #117C22×D73semidirect
1405. #117C22×D73semidirect
1418. C2×C4⋊C4C22×D73semidirect
1419. C2×C4⋊C4C22×D73semidirect
1420. C2×C4⋊C4C22×D73semidirect
1421. C2×C4⋊C4C22×D73semidirect
1441. C2×C22⋊C4C22×D73semidirect
1442. C2×C22⋊C4C22×D73semidirect
1444. C2×C42C22×D73semidirect
1713. C23#14556637semidirect
1807. C2×C4#14556636semidirect

Maximal subgroups

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

subgroupindex
#226242472
#226242392
#226241702
#226241662
#226241602
#226241582
#226241252
#226241152
#226239632
#226239512
#226237722
#226237702
#226236952
#226236882
#226236682
#226236662
#226236372
#226236142
#226236002
#226235922
#226235642
#226235602
C2×#179890982
C22×#145565652
C2×#525×C732
#6281873