Finite Group Databasebeta

← #33994007

Subgroups — #33994007

Order 18688.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623982C212yesmaximal, complemented
2#22623975C212yesmaximal, complemented
3#22623965C212yesmaximal, complemented
4#22623958C212yesmaximal, complemented
5#22623875C214yesmaximal, complemented
6#22623865C214yesmaximal, complemented
7#22623785C211yesmaximal, characteristic, complemented
8#22623780C211yesmaximal, characteristic, complemented
9#22623766C214yesmaximal, complemented
10#22623732C211yesmaximal, characteristic, complemented
11#22623693C211yesmaximal, characteristic, complemented
12#22623637C212yesmaximal, complemented
13#22623614C214yesmaximal, complemented
14#22623564C212yesmaximal, complemented
15#22623541C214yesmaximal, complemented
16#22623537C214yesmaximal, complemented
17#22623498C212yesmaximal, complemented
18#22623495C212yesmaximal, complemented
19#41×D292C212yesmaximal, complemented
20#22623417C212yesmaximal, complemented
21#22623347C212yesmaximal, complemented
22#22623341C214yesmaximal, complemented
23#22623227C211yesmaximal, characteristic, complemented
24#525×D73C214yesmaximal, complemented
25C4×#14556637C212yesmaximal, complemented
26C22×C4×D292C211yesmaximal, characteristic, complemented
27C73×#3444C211yesmaximal, characteristic, complemented
28C2×#14556637C2212yes—
29C2×#41×D73C2214yescomplemented
30C23×D292C2211yescharacteristic
31C23×C4×D73C2212yescomplemented
32#17989322C2214yescomplemented
33#17989319C2214yescomplemented
34#17989311C2212yescomplemented
35#17989310C2212yescomplemented
36#17989303C2212yescomplemented
37#17989302C2212yescomplemented
38#17989298C2212yescomplemented
39#17989297C2212yescomplemented
40#17989297C2214yescomplemented
41#17989295C2214yescomplemented
42#17989294C2214yescomplemented
43#17989293C2214yescomplemented
44#17989290C2214yescomplemented
45#17989290C2214yescomplemented
46#17989289C2214yescomplemented
47#17989288C2218yescomplemented
48#17989287C2214yescomplemented
49#17989283C2214yescomplemented
50#17989283C2214yescomplemented
51#17989281C2218yescomplemented
52#17989279C2214yescomplemented
53#17989278C2214yescomplemented
54#17989277C2214yescomplemented
55#17989275C2214yescomplemented
56#17989266C2218yescomplemented
57#17989264C2218yescomplemented
58#17989262C2218yescomplemented
59#17989261C2218yescomplemented
60#17989261C2218yescomplemented
61#17989260C2218yescomplemented
62#17989259C2212yescomplemented
63#17989257C2212yescomplemented
64Q8×D292C2212yescomplemented
65#17989252C2212yescomplemented
66#17989249C2214yescomplemented
67#17989245C2214yescomplemented
68#17989242C2212yescomplemented
69#17989241C2214yescomplemented
70#17989241C2212yescomplemented
71#17989240C2212yescomplemented
72#17989240C2212yescomplemented
73#17989237C2214yescomplemented
74#17989233C2214yescomplemented
75#17989233C2214yescomplemented
76#17989233C2214yescomplemented
77#17989232C2218yescomplemented
78#17989232C2214yescomplemented
79#17989230C2214yescomplemented
80#17989230C2214yescomplemented
81#17989229C2218yescomplemented
82#17989228C2214yescomplemented
83#17989228C2214yescomplemented
84#17989226C2218yescomplemented
85#17989225C2218yescomplemented
86D4×D292C2214yescomplemented
87D4×D292C2214yescomplemented
88D4×D292C2212yescomplemented
89#17989222C2212yescomplemented
90#17989221C2214yescomplemented
91#17989221C2214yescomplemented
92#17989215C2212yescomplemented
93#17989212C2214yescomplemented
94#17989209C2214yescomplemented
95#17989208C2214yescomplemented
96#17989192C2214yescomplemented
97#17989188C2214yescomplemented
98#17989185C2218yescomplemented
99#17989181C2218yescomplemented
100#17989178C2218yescomplemented
101#17989177C2214yescomplemented
102#17989176C2218yescomplemented
103#17989174C2214yescomplemented
104#17989171C2218yescomplemented
105#17989170C2218yescomplemented
106#17989165C2212yescomplemented
107#17989156C2212yescomplemented
108#17989151C2212yescomplemented
109#17989148C2218yescomplemented
110#17989145C2214yescomplemented
111#17989144C2211yescharacteristic, complemented
112#17989144C2211yescharacteristic, complemented
113#17989144C2211yescharacteristic, complemented
114#17989137C2211yescharacteristic, complemented
115#17989137C2211yescharacteristic, complemented
116#17989137C2211yescharacteristic, complemented
117#17989137C2214yescomplemented
118#17989134C2214yescomplemented
119#17989124C2218yescomplemented
120#17989124C2214yescomplemented
121#17989121C2212yescomplemented
122#17989121C2212yescomplemented
123#17989121C2212yescomplemented
124#17989121C2212yescomplemented
125#17989121C2212yescomplemented
126#17989121C2212yescomplemented
127#17989121C2214yescomplemented
128#17989115C2218yescomplemented
129#17989100C2214yescomplemented
130#17989100C2214yescomplemented
131#17989099C2214yescomplemented
132#17989099C2218yescomplemented
133#17989098C2212yescomplemented
134#17989098C2212yescomplemented
135#17989098C2212yescomplemented
136#17989097C2214yescomplemented
137#17989097C2214yescomplemented
138#17989096C2218yescomplemented
139#17989096C2218yescomplemented
140#17989096C2218yescomplemented
141#17989095C2218yescomplemented
142#17989094C2214yescomplemented
143#17989093C2218yescomplemented
144#123×D73C2218yescomplemented
145C22⋊Q8×D73C2214yescomplemented
146C22⋊Q8×D73C2214yescomplemented
147#121×D73C2214yescomplemented
148#121×D73C2214yescomplemented
149#120×D73C2218yescomplemented
150#17989070C2212yescomplemented
151#17989069C2214yescomplemented
152#17989067C2212yescomplemented
153#17989067C2214yescomplemented
154#17989061C2212yes—
155#17989061C2214yescomplemented
156#17989059C2218yescomplemented
157#17989059C2214yescomplemented
158C4×#11924029C2214yescomplemented
159C4×#11924028C2212yescomplemented
160C4×#11924028C2212yescomplemented
161C4×#11924028C2212yescomplemented
162C4×#11924028C2214yescomplemented
163C2×C4×D292C2211yescharacteristic
164C2×C4×D292C2211yescharacteristic
165C2×C4×D292C2212yescomplemented
166C2×C4×D292C2212yescomplemented
167C2×C4×D292C2212yescomplemented
168C2×C4×D292C2211yescharacteristic, complemented
169C2×C4×D292C2212yescomplemented
170C2×C4×D292C2212yescomplemented
171C2×C4×D292C2212yescomplemented
172C2×C4×D292C2211yescharacteristic, complemented
173C2×C4×D292C2212yescomplemented
174C2×C4×D292C2212yescomplemented
175C2×C4×D292C2212yescomplemented
176C2×C4×D292C2212yescomplemented
177C2×C4×D292C2214yescomplemented
178C4×D4×D73C2218yescomplemented
179C4×D4×D73C2218yescomplemented
180C4×D4×D73C2214yescomplemented
181#117×D73C2214yescomplemented
182C22×C4⋊Dic73C2211yescharacteristic, complemented
183C22×#11924005C2212yescomplemented
184#533×C73C2211yescharacteristic, complemented
185#533×C73C2211yescharacteristic, complemented
186#533×C73C2211yescharacteristic, complemented
187#532×C73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189#532×C73C2211yescharacteristic, complemented
190#529×C73C2212yescomplemented
191#529×C73C2212yescomplemented
192#529×C73C2212yescomplemented
193#529×C73C2212yescomplemented
194#529×C73C2212yescomplemented
195#529×C73C2212yescomplemented
196#525×C73C2212yescomplemented
197#525×C73C2212yescomplemented
198#525×C73C2212yescomplemented
199C4×#41×C73C2212yescomplemented
200C4×#41×C73C2212yescomplemented
201C4×#41×C73C2212yescomplemented
202C22×C42×C73C2211yescharacteristic, complemented
203C24×D73C2312yes—
204#14556637—216no—
205C2×#11924029C2314yes—
206C2×#11924029C2314yescomplemented
207C2×#11924028C2312yes—
208C2×#11924028C2312yes—
209C2×#11924028C2314yes—
210C2×#11924028C2312yes—
211C2×#11924028C2318yescomplemented
212C2×#11924027C2318yes—
213C2×#11924027C2314yescomplemented
214#41×D73—416no—
215C2×Q8×D73C2314yescomplemented
216C22×D292—28no—
217C22×D292C2312yes—
218C22×D292C2311yescharacteristic
219C22×D292C2312yes—
220C22×D292C2312yes—
221C22×D292C2312yes—
222C22×D292C2312yes—
223C22×D292C2314yes—
224C22×D292C2311yescharacteristic
225C2×D4×D73C2318yes—
226C2×D4×D73C2314yes—
227C2×D4×D73C2318yes—
228C2×D4×D73C2318yes—
229C2×D4×D73C2314yescomplemented
230C23×Dic73C2312yes—
231C22×C4×D73—48no—
232C22×C4×D73C2314yes—
233C22×C4×D73C2312yes—
234C22×C4×D73C2314yes—
235C22×C4×D73C2312yes—
236C22×C4×D73C2314yes—
237C22×C4×D73C2314yes—
238C22×C4×D73C2312yes—
239C22×C4×D73C2312yes—
240C22×C4×D73C2318yescomplemented
241#14556591C2311yescharacteristic, complemented
242#14556591C2311yescharacteristic, complemented
243#14556591C2311yescharacteristic, complemented
244#14556591C2314yescomplemented
245#14556590C2314yescomplemented
246#14556588C2314yes—
247#14556588C2311yescharacteristic, complemented
248#14556587C2314yes—
249#14556586C2318yescomplemented
250#14556586C2318yescomplemented
251#14556586C2318yescomplemented
252#14556586C2318yescomplemented
253#14556585C2314yescomplemented
254#14556585C2314yescomplemented
255#14556585C2318yescomplemented
256#14556584C2318yescomplemented
257#14556583C2312yescomplemented
258#14556583C2312yescomplemented
259#14556583C2312yescomplemented
260#14556583C2314yescomplemented
261#14556582C2318yescomplemented
262#14556582C2314yescomplemented
263#14556581C2318yescomplemented
264#14556580C2314yes—
265#14556580C2318yescomplemented
266#14556579C2314yes—
267#14556579C2312yescomplemented
268#14556579C2312yescomplemented
269#14556579C2312yescomplemented
270#14556579C2318yescomplemented
271#14556577C2318yescomplemented
272#14556577C2318yescomplemented
273#14556576C2318yes—
274#14556576C2318yes—
275#14556576C2318yescomplemented
276#14556576C2318yescomplemented
277#14556576C2318yescomplemented
278#14556576C2318yescomplemented
279#14556576C2318yescomplemented
280#14556575C2318yes—
281#14556575C2318yescomplemented
282#14556575C2318yescomplemented
283#14556574C2314yes—
284#14556574C2314yes—
285#14556574C2314yes—
286#14556574C2318yescomplemented
287#14556573C2318yescomplemented
288#14556573C2318yescomplemented
289#14556573C2318yescomplemented
290#14556573C2318yescomplemented
291#14556572C2318yes—
292#14556571C2318yescomplemented
293#14556571C2318yescomplemented
294#14556571C2314yescomplemented
295#14556571C2314yescomplemented
296#14556570C2312yes—
297#14556570C2312yes—
298#14556570C2312yes—
299#14556570C2312yes—
300#14556570C2312yes—
301#14556570C2312yes—
302#14556570C2314yescomplemented
303#14556569C2318yescomplemented
304#14556569C2318yescomplemented
305#14556569C2318yescomplemented
306#14556569C2318yescomplemented
307#14556568C2318yes—
308#14556568C2318yes—
309#14556568C2318yescomplemented
310#14556567C2314yescomplemented
311#14556567C2318yescomplemented
312#14556567C2314yescomplemented
313#14556567C2314yescomplemented
314#14556566C2318yes—
315#14556566C2314yes—
316#14556566C2314yes—
317#14556566C2318yes—
318#14556566C2318yescomplemented
319#14556566C2314yescomplemented
320#14556566C2314yescomplemented
321#14556565C2312yes—
322#14556565C2312yes—
323#14556565C2312yes—
324#14556565C2312yes—
325#14556565C2312yes—
326#14556565C2312yes—
327#14556565C2314yes—
328#14556565C2314yes—
329#14556565C2314yescomplemented
330#14556565C2318yescomplemented
331#14556564C2318yes—
332#14556564C2318yes—
333#14556564C2318yescomplemented
334#14556564C2318yescomplemented
335#14556564C2318yescomplemented
336#14556563C2318yes—
337#14556563C2318yes—
338#14556563C2318yescomplemented
339#14556562C2314yescomplemented
340#14556562C2314yescomplemented
341#14556562C2314yescomplemented
342#14556561C2318yes—
343#14556561C2318yes—
344#14556561C2318yes—
345#14556561C2318yes—
346#14556561C2318yes—
347#14556561C2318yescomplemented
348#14556560C2314yes—
349#14556559C2318yes—
350#14556559C2318yes—
351#14556559C2318yes—
352#14556559C2318yescomplemented
353Q8×Dic73C2314yescomplemented
354C4×Dic146C2312yescomplemented
355C4×Dic146C2312yescomplemented
356C4×Dic146C2312yescomplemented
357C4×Dic146C2312yescomplemented
358C4×Dic146C2312yescomplemented
359C4×Dic146C2312yescomplemented
360C4×Dic146C2314yescomplemented
361C4×D292C2312yes—
362C4×D292C2312yes—
363C4×D292C2314yes—
364C4×D292C2314yes—
365C4×D292C2314yes—
366C4×D292C2312yes—
367C4×D292C2312yes—
368C4×D292C2312yes—
369C4×D292C2314yes—
370C4×D292C2314yes—
371C4×D292C2312yes—
372C4×D292C2312yes—
373C4×D292C2314yes—
374C4×D292C2314yes—
375C4×D292C2312yes—
376C4×D292C2312yes—
377C4×D292C2312yes—
378C4×D292C2314yes—
379C4×D292C2314yes—
380C4×D292C2312yes—
381C4×D292C2312yes—
382C4×D292C2312yes—
383C4×D292C2312yes—
384C4×D292C2312yes—
385C4×D292C2312yes—
386C4×D292C2314yes—
387C4×D292C2312yescomplemented
388C4×D292C2312yescomplemented
389C4×D292C2312yescomplemented
390C4×D292C2312yescomplemented
391C4×D292C2312yescomplemented
392C4×D292C2312yescomplemented
393C4×D292C2318yescomplemented
394C4×D292C2318yescomplemented
395C4×D292C2318yescomplemented
396C4×D292C2314yescomplemented
397D4×Dic73C2318yes—
398D4×Dic73C2318yes—
399D4×Dic73C2314yescomplemented
400#14556553C2314yes—
401#14556553C2314yes—
402#14556553C2318yescomplemented
403#14556553C2318yescomplemented
404#14556553C2318yescomplemented
405C4×C22⋊D73C2314yes—
406C4×C22⋊D73C2314yes—
407C4×C22⋊D73C2314yes—
408C4×C22⋊D73C2314yes—
409C4×C22⋊D73C2314yes—
410C4×C22⋊D73C2314yes—
411C4×C22⋊D73C2318yescomplemented
412C4×C22⋊D73C2318yescomplemented
413C4×C22⋊D73C2318yescomplemented
414#14556551C2318yes—
415#14556551C2318yes—
416#14556551C2318yescomplemented
417#14556551C2318yescomplemented
418#14556551C2318yescomplemented
419#14556550C2312yes—
420#14556550C2312yes—
421#14556550C2312yes—
422#14556550C2314yescomplemented
423#14556549C2318yescomplemented
424#14556549C2314yescomplemented
425#14556549C2314yescomplemented
426#14556549C2314yescomplemented
427#14556548C2314yescomplemented
428#14556548C2314yescomplemented
429#14556548C2314yescomplemented
430#14556548C2318yescomplemented
431#14556548C2318yescomplemented
432#14556547C2318yes—
433C2×C4⋊Dic73C2311yescharacteristic
434C2×C4⋊Dic73C2312yes—
435C2×C4⋊Dic73C2312yes—
436C2×C4⋊Dic73C2312yes—
437C2×C4⋊Dic73C2312yes—
438C2×C4⋊Dic73C2312yes—
439C2×C4⋊Dic73C2311yescharacteristic
440C2×C4⋊Dic73C2314yescomplemented
441C4⋊C4×D73C2318yescomplemented
442C4⋊C4×D73C2314yescomplemented
443C4⋊C4×D73C2314yescomplemented
444C4⋊C4×D73C2318yescomplemented
445C4⋊C4×D73C2314yescomplemented
446C2×#11924005C2312yes—
447C2×#11924005C2312yes—
448C2×#11924005C2312yes—
449C2×#11924005C2314yes—
450C2×#11924005C2314yes—
451C2×#11924005C2314yes—
452C2×#11924005C2314yes—
453C2×#11924005C2312yes—
454C2×#11924005C2318yescomplemented
455C22⋊C4×D73C2318yes—
456C22⋊C4×D73C2318yes—
457C22⋊C4×D73C2318yes—
458C22⋊C4×D73C2318yescomplemented
459C22⋊C4×D73C2318yescomplemented
460C22⋊C4×D73C2318yescomplemented
461C42×D73C2314yescomplemented
462C42×D73C2318yescomplemented
463C2×#41×C73C2312yes—
464C2×#41×C73C2312yes—
465C2×#41×C73C2312yes—
466C23×C4×C73C2311yescharacteristic
467C23×C4×C73C2311yescharacteristic
468C23×C4×C73C2311yescharacteristic
469C4⋊Q8×C73C2311yescharacteristic, complemented
470C4⋊Q8×C73C2311yescharacteristic, complemented
471C4⋊Q8×C73C2311yescharacteristic, complemented
472#127×C73C2311yescharacteristic, complemented
473#126×C73C2314yescomplemented
474#126×C73C2314yescomplemented
475#125×C73C2312yescomplemented
476#125×C73C2312yescomplemented
477#125×C73C2312yescomplemented
478#124×C73C2312yescomplemented
479#124×C73C2312yescomplemented
480#124×C73C2312yescomplemented
481#123×C73C2314yes—
482#123×C73C2314yes—
483#123×C73C2314yes—
484C22⋊Q8×C73C2312yes—
485C22⋊Q8×C73C2312yes—
486C22⋊Q8×C73C2312yes—
487C22⋊Q8×C73C2312yes—
488C22⋊Q8×C73C2312yes—
489C22⋊Q8×C73C2312yes—
490#121×C73C2312yes—
491#121×C73C2312yes—
492#121×C73C2312yes—
493#121×C73C2312yes—
494#121×C73C2312yes—
495#121×C73C2312yes—
496#120×C73C2314yes—
497C4×Q8×C73C2312yescomplemented
498C4×Q8×C73C2312yescomplemented
499C4×Q8×C73C2312yescomplemented
500C4×Q8×C73C2312yescomplemented
501C4×Q8×C73C2312yescomplemented
502C4×Q8×C73C2312yescomplemented
503C4×D4×C73C2314yes—
504C4×D4×C73C2314yes—
505C4×D4×C73C2314yes—
506C4×D4×C73C2314yes—
507C4×D4×C73C2314yes—
508C4×D4×C73C2314yes—
509C4×D4×C73C2312yescomplemented
510C4×D4×C73C2312yescomplemented
511C4×D4×C73C2312yescomplemented
512C4×D4×C73C2312yescomplemented
513C4×D4×C73C2312yescomplemented
514C4×D4×C73C2312yescomplemented
515#117×C73C2312yes—
516#117×C73C2312yes—
517#117×C73C2312yes—
518#117×C73C2314yescomplemented
519#117×C73C2314yescomplemented
520#117×C73C2314yescomplemented
521C2×C42×C73C2311yescharacteristic
522C2×C42×C73C2311yescharacteristic
523C2×C42×C73C2311yescharacteristic
524C2×C42×C73C2311yescharacteristic
525C2×C42×C73C2311yescharacteristic
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2311yescharacteristic
529C2×C42×C73C2311yescharacteristic
530C2×C42×C73C2311yescharacteristic
531C2×C42×C73C2311yescharacteristic
532C2×C42×C73C2311yescharacteristic
533C2×C42×C73C2314yescomplemented
534C23×D73—28no—
535C23×D73—44no—
536C23×D73—44no—
537C23×D73C2414yes—
538C23×D73C2414yes—
539C23×D73C2418yes—
540C23×D73C2412yes—
541C23×D73C2412yes—
542#11924029—216no—
543#11924029—48no—
544#11924028—28no—
545#11924028—28no—
546#11924028—216no—
547#11924028—416no—
548#11924028—44no—
549#11924027—48no—
550#11924027—416no—
551C2×Dic146C2412yes—
552C2×Dic146C2412yes—
553C2×Dic146C2412yes—
554C2×Dic146C2418yes—
555Q8×D73—48no—
556C2×D292—28no—
557C2×D292—24no—
558C2×D292—28no—
559C2×D292—28no—
560C2×D292—28no—
561C2×D292—28no—
562C2×D292—216no—
563C2×D292#4118yescomplemented
564C2×D292C2418yes—
565C2×D292C2414yes—
566C2×D292C2414yes—
567C2×D292C2412yes—
568C2×D292C2412yes—
569C2×D292C2412yes—
570C2×D292C2412yes—
571C2×D292C2418yes—
572C2×D292C2412yes—
573C2×D292C2418yes—
574C2×D292C2412yes—
575C2×D292C2412yes—
576C2×C22⋊D73C2414yes—
577C2×C22⋊D73C2414yes—
578C2×C22⋊D73C2418yes—
579C2×C22⋊D73C2414yes—
580C2×C22⋊D73C2418yes—
581C2×C22⋊D73C2418yes—
582C2×C22⋊D73C2418yes—
583D4×D73—232no—
584D4×D73—216no—
585D4×D73—48no—
586D4×D73—416no—
587D4×D73—416no—
588C22×Dic73—44no—
589C22×Dic73C2414yes—
590C22×Dic73C2412yes—
591C22×Dic73C2414yes—
592C22×Dic73C2412yes—
593C22×Dic73C2418yes—
594C2×C4×D73—216no—
595C2×C4×D73—44no—
596C2×C4×D73—48no—
597C2×C4×D73—44no—
598C2×C4×D73—48no—
599C2×C4×D73—44no—
600C2×C4×D73—44no—
601C2×C4×D73—416no—
602C2×C4×D73—48no—
603C2×C4×D73C2414yes—
604C2×C4×D73C2418yes—
605C2×C4×D73C2414yes—
606C2×C4×D73C2414yes—
607C2×C4×D73C2414yes—
608C2×C4×D73C2414yes—
609C2×C4×D73C2414yes—
610C2×C4×D73C2418yes—
611C2×C4×D73C2414yes—
612C2×C4×D73C2418yes—
613C2×C4×D73C2414yes—
614C2×C4×D73C2414yes—
615C2×C4×D73C2418yes—
616C2×C4×D73C2414yes—
617C2×C4×D73C2414yes—
618C4⋊Dic73C2412yes—
619C4⋊Dic73C2412yes—
620C4⋊Dic73C2412yes—
621C4⋊Dic73C2418yes—
622C4⋊Dic73C2418yes—
623C4⋊Dic73C2412yes—
624C4⋊Dic73C2412yes—
625C4⋊Dic73C2412yes—
626C4⋊Dic73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2412yes—
629C4⋊Dic73C2412yes—
630C4⋊Dic73C2412yes—
631C4⋊Dic73C2412yes—
632#11924007C2418yes—
633#11924007C2414yes—
634#11924007C2414yes—
635#11924007C2418yes—
636#11924007C2418yes—
637#11924007C2418yes—
638#11924007C2414yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642C22⋊Dic73C2414yes—
643C22⋊Dic73C2414yes—
644C22⋊Dic73C2414yes—
645C22⋊Dic73C2418yes—
646C22⋊Dic73C2418yes—
647#11924005C2418yes—
648#11924005C2418yes—
649#11924005C2418yes—
650#11924005C2418yes—
651#11924005C2418yes—
652#11924005C2418yes—
653#11924005C2414yes—
654#11924005C2414yes—
655#11924005C2414yes—
656#11924005C2418yes—
657#11924005C2418yes—
658#11924005C2414yes—
659#11924005C2414yes—
660#11924005C2414yes—
661#11924005C2414yes—
662#11924005C2414yes—
663#11924005C2414yes—
664#11924005C2414yes—
665#11924005C2414yes—
666#11924005C2414yes—
667#11924005C2414yes—
668#11924005C2414yes—
669C4×Dic73C2414yes—
670C4×Dic73C2418yes—
671C4×Dic73C2418yes—
672C4×Dic73C2414yes—
673C4×Dic73C2414yes—
674C24×C73C2411yescharacteristic
675#41×C73—28no—
676#41×C73—28no—
677#41×C73—44no—
678C2×Q8×C73C2412yes—
679C2×Q8×C73C2412yes—
680C2×Q8×C73C2412yes—
681C2×D4×C73C2414yes—
682C2×D4×C73C2414yes—
683C2×D4×C73C2414yes—
684C2×D4×C73C2412yes—
685C2×D4×C73C2412yes—
686C2×D4×C73C2412yes—
687C22×C4×C73—24no—
688C22×C4×C73—24no—
689C22×C4×C73—42no—
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696C22×C4×C73C2411yescharacteristic
697C22×C4×C73C2411yescharacteristic
698C22×C4×C73C2411yescharacteristic
699C22×C4×C73C2411yescharacteristic
700C22×C4×C73C2411yescharacteristic
701C22×C4×C73C2411yescharacteristic
702C22×C4×C73C2414yes—
703C22×C4×C73C2414yes—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707C22×C4×C73C2411yescharacteristic
708C22×C4×C73C2414yes—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C4⋊C4×C73C2412yes—
712C4⋊C4×C73C2412yes—
713C4⋊C4×C73C2412yes—
714C4⋊C4×C73C2412yes—
715C4⋊C4×C73C2412yes—
716C4⋊C4×C73C2412yes—
717C4⋊C4×C73C2414yes—
718C4⋊C4×C73C2414yes—
719C4⋊C4×C73C2414yes—
720C4⋊C4×C73C2414yes—
721C4⋊C4×C73C2414yes—
722C4⋊C4×C73C2414yes—
723C22⋊C4×C73C2414yes—
724C22⋊C4×C73C2414yes—
725C22⋊C4×C73C2414yes—
726C22⋊C4×C73C2414yes—
727C22⋊C4×C73C2414yes—
728C22⋊C4×C73C2414yes—
729C22⋊C4×C73C2414yes—
730C22⋊C4×C73C2414yes—
731C22⋊C4×C73C2414yes—
732C42×C73C2411yescharacteristic
733C42×C73C2411yescharacteristic
734C42×C73C2411yescharacteristic
735C42×C73C2411yescharacteristic
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C42×C73C2411yescharacteristic
739C42×C73C2411yescharacteristic
740C42×C73C2411yescharacteristic
741C42×C73C2411yescharacteristic
742C42×C73C2411yescharacteristic
743C42×C73C2411yescharacteristic
744C42×C73C2411yescharacteristic
745C42×C73C2411yescharacteristic
746C42×C73C2411yescharacteristic
747C42×C73C2411yescharacteristic
748C42×C73C2414yes—
749C42×C73C2414yes—
750C42×C73C2414yes—
751C23×C73—22no—
752C23×C73—22no—
753C23×C73—22no—
754C23×C73C2514yes—
755C23×C73C2511yescharacteristic
756C23×C73C2511yescharacteristic
757C23×C73C2511yescharacteristic
758C22×D73—24no—
759C22×D73—28no—
760C22×D73—28no—
761C22×D73—28no—
762C22×D73—28no—
763C22×D73—216no—
764C22×D73—42no—
765C22×D73—44no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—44no—
769C22×D73—42no—
770C22×D73—48no—
771C22×D73—48no—
772C22×D73—432no—
773C22×D73C2×#4118yescomplemented
774C22×D73C2514yes—
775C22×D73C2514yes—
776C22×D73C2514yes—
777Q8×C73—24no—
778Q8×C73—24no—
779Q8×C73—42no—
780D4×C73—28no—
781D4×C73—28no—
782D4×C73—28no—
783D4×C73—24no—
784D4×C73—24no—
785D4×C73—42no—
786C2×C4×C73—22no—
787C2×C4×C73—22no—
788C2×C4×C73—22no—
789C2×C4×C73—22no—
790C2×C4×C73—22no—
791C2×C4×C73—22no—
792C2×C4×C73—22no—
793C2×C4×C73—22no—
794C2×C4×C73—28no—
795C2×C4×C73—22no—
796C2×C4×C73—22no—
797C2×C4×C73—22no—
798C2×C4×C73—22no—
799C2×C4×C73—28no—
800C2×C4×C73—41no—
801C2×C4×C73—41no—
802C2×C4×C73—41no—
803C2×C4×C73—41no—
804C2×C4×C73—44no—
805C2×C4×C73C2×#4114yescomplemented
806C2×C4×C73H(5,𝔽2)14yescomplemented
807C2×C4×C73C2511yescharacteristic
808C2×C4×C73C2511yescharacteristic
809C2×C4×C73C2511yescharacteristic
810C2×C4×C73C2511yescharacteristic
811C2×C4×C73C2511yescharacteristic
812C2×C4×C73C2511yescharacteristic
813C2×C4×C73C2511yescharacteristic
814C2×C4×C73C2511yescharacteristic
815C2×C4×C73C2514yes—
816C2×C4×C73C2514yes—
817C2×C4×C73C2514yes—
818C2×C4×C73C2511yescharacteristic
819C2×C4×C73C2511yescharacteristic
820C2×C4×C73C2511yescharacteristic
821C2×C4×C73C2511yescharacteristic
822C22⋊D73—28no—
823C22⋊D73—28no—
824C22⋊D73—28no—
825C22⋊D73—216no—
826C22⋊D73—48no—
827C22⋊D73—48no—
828C22⋊D73—48no—
829C2×Dic73—28no—
830C2×Dic73—42no—
831C2×Dic73—44no—
832C2×Dic73—42no—
833C2×Dic73—48no—
834C2×Dic73C2514yes—
835C2×Dic73C2514yes—
836C2×Dic73C2514yes—
837C2×Dic73C2514yes—
838C2×Dic73C2514yes—
839D292—216no—
840D292—28no—
841D292—28no—
842D292—24no—
843D292—24no—
844D292—24no—
845D292—24no—
846D292—48no—
847D292—48no—
848D292—42no—
849D292C2×#4118yescomplemented
850D292C2×#4118yescomplemented
851C4×D73—216no—
852C4×D73—28no—
853C4×D73—28no—
854C4×D73—28no—
855C4×D73—28no—
856C4×D73—28no—
857C4×D73—28no—
858C4×D73—44no—
859C4×D73—44no—
860C4×D73—44no—
861C4×D73—44no—
862C4×D73—48no—
863C4×D73—48no—
864C4×D73—48no—
865C4×D73—44no—
866Dic146—24no—
867Dic146—24no—
868Dic146—48no—
869Dic146—42no—
870C22×C73—28no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—24no—
878C22×C73—24no—
879C22×C73—24no—
880C22×C73C22×#4112yes—
881C22×C73C2×H(5,𝔽2)12yes—
882C22×C73#58512yes—
883C22×C73C2611yescharacteristic
884C2×D73—24no—
885C2×D73—24no—
886C2×D73—24no—
887C2×D73—24no—
888C2×D73—24no—
889C2×D73—24no—
890C2×D73—24no—
891C2×D73—24no—
892C2×D73—48no—
893C2×D73—416no—
894C2×D73—416no—
895C2×D73—48no—
896C2×D73—816no—
897C2×D73C22×#4118yes—
898C4×C73—24no—
899C4×C73—21no—
900C4×C73—21no—
901C4×C73—24no—
902C4×C73—21no—
903C4×C73—21no—
904C4×C73—21no—
905C4×C73—21no—
906C4×C73—24no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73C22×#4112yes—
910C4×C73C22×#4112yes—
911C4×C73C2×H(5,𝔽2)12yes—
912C4×C73C2×H(5,𝔽2)12yes—
913Dic73—24no—
914Dic73—24no—
915Dic73—24no—
916Dic73—24no—
917Dic73—24no—
918#62773—731nomaximal, Sylow
919C2×C73—22no—
920C2×C73—22no—
921C2×C73—22no—
922C2×C73—44no—
923C2×C73C23×#4111yescharacteristic
924C2×C73C22×H(5,𝔽2)11yescharacteristic
925C2×C73C2×#58511yescharacteristic
926D73—28no—
927D73—44no—
928D73—44no—
929#3520—732no—
930#3520—732no—
931#3519—732no—
932#3519—732no—
933#3513—734no—
934#3513—734no—
935#3506—731no—
936#3506—731no—
937#3505—734no—
938#3501—731no—
939#3496—731no—
940#3492—732no—
941#3490—734no—
942#3484—732no—
943#3481—734no—
944#3481—734no—
945#3475—732no—
946#3475—732no—
947D4×#41—732no—
948D4×#41—732no—
949#3460—732no—
950#3459—734no—
951#3444—731no—
952#3444D7311yescharacteristic, complemented
953C2×#525—734no—
954C4×H(5,𝔽2)—732no—
955C22×C4×D4—731no—
956C73#6277311yescharacteristic, complemented, Sylow
957C2×H(5,𝔽2)—732no—
958C22×#41—734no—
959C23×D4—731no—
960C24×C4—732no—
961#559—734no—
962#559—734no—
963#556—732no—
964#556—732no—
965#555—732no—
966#555—732no—
967#554—732no—
968#554—734no—
969#554—734no—
970#554—732no—
971#554—734no—
972#554—734no—
973#553—738no—
974#553—734no—
975#553—734no—
976#553—734no—
977#553—734no—
978#553—734no—
979#553—734no—
980#553—738no—
981#552—734no—
982#552—734no—
983#552—734no—
984#552—734no—
985#551—738no—
986#551—738no—
987#551—738no—
988#551—738no—
989#551—738no—
990#551—738no—
991#550—732no—
992#550—732no—
993D4×Q8—732no—
994D4×Q8—732no—
995#548—734no—
996#548—734no—
997#547—732no—
998#547—732no—
999#547—734no—
1000#547—734no—
1001#547—732no—
1002#547—732no—
1003#546—738no—
1004#546—734no—
1005#546—734no—
1006#546—738no—
1007#546—734no—
1008#546—734no—
1009#546—738no—
1010#546—738no—
1011#546—734no—
1012#546—734no—
1013#546—734no—
1014#546—734no—
1015D42—732no—
1016D42—734no—
1017D42—734no—
1018D42—734no—
1019D42—734no—
1020D42—732no—
1021#544—732no—
1022#543—734no—
1023#542—734no—
1024#542—734no—
1025#540—734no—
1026#540—734no—
1027#539—738no—
1028#539—738no—
1029#539—738no—
1030#538—738no—
1031#538—738no—
1032#538—734no—
1033#538—734no—
1034#538—738no—
1035#537—732no—
1036#535—732no—
1037#535—732no—
1038#534—738no—
1039#534—734no—
1040#533—731no—
1041#533—731no—
1042#533—731no—
1043#533C2×D7311yescharacteristic, complemented
1044#533C2×D7311yescharacteristic, complemented
1045#533C2×D7311yescharacteristic, complemented
1046#532—734no—
1047#532—731no—
1048#532—731no—
1049#532—731no—
1050#532—734no—
1051#532C2×D7311yescharacteristic, complemented
1052#532C2×D7311yescharacteristic, complemented
1053#532C2×D7311yescharacteristic, complemented
1054#529—738no—
1055#529—734no—
1056#529—738no—
1057#529—732no—
1058#529—732no—
1059#529—732no—
1060#529—732no—
1061#529—732no—
1062#529—732no—
1063#529—734no—
1064#529C2×D7312yescomplemented
1065#529C2×D7312yescomplemented
1066#529C2×D7312yescomplemented
1067#529C2×D7312yescomplemented
1068#529C2×D7312yescomplemented
1069#529C2×D7312yescomplemented
1070#525—734no—
1071#525—732no—
1072#525—732no—
1073#525—732no—
1074#525—738no—
1075#525—734no—
1076#525—734no—
1077#525—734no—
1078#525—734no—
1079#525—738no—
1080#525—738no—
1081#525—738no—
1082#525—738no—
1083#525—734no—
1084#525—738no—
1085#525C2×D7312yescomplemented
1086#525C2×D7312yescomplemented
1087#525C2×D7312yescomplemented
1088C2×#123—738no—
1089C2×C22⋊Q8—734no—
1090C2×C22⋊Q8—734no—
1091C2×#121—734no—
1092C2×#121—734no—
1093C2×#120—738no—
1094#520—732no—
1095#520—734no—
1096#520—732no—
1097#520—734no—
1098#518—738no—
1099#518—734no—
1100#518—732no—
1101#518—734no—
1102C4×#41—734no—
1103C4×#41—732no—
1104C4×#41—732no—
1105C4×#41—732no—
1106C4×#41—734no—
1107C4×#41C2×D7312yescomplemented
1108C4×#41C2×D7312yescomplemented
1109C4×#41C2×D7312yescomplemented
1110C2×C4×D4—738no—
1111C2×C4×D4—738no—
1112C2×C4×D4—734no—
1113C2×C4×D4—731no—
1114C2×C4×D4—732no—
1115C2×C4×D4—731no—
1116C2×C4×D4—732no—
1117C2×C4×D4—732no—
1118C2×C4×D4—732no—
1119C2×C4×D4—732no—
1120C2×C4×D4—731no—
1121C2×C4×D4—732no—
1122C2×C4×D4—731no—
1123C2×C4×D4—732no—
1124C2×C4×D4—732no—
1125C2×C4×D4—732no—
1126C2×C4×D4—732no—
1127C2×C4×D4—734no—
1128C2×#117—734no—
1129C22×C4⋊C4—731no—
1130C22×C22⋊C4—732no—
1131C22×C42C2×D7311yescharacteristic, complemented
1132C25—732no—
1133H(5,𝔽2)—14616no—
1134C2×#41—29216no—
1135C2×#41—734no—
1136C2×#41—734no—
1137C2×#41—738no—
1138C2×#41—734no—
1139C2×#41—732no—
1140C2×#41—738no—
1141C2×#41—732no—
1142C2×#41—734no—
1143C2×#41—732no—
1144C2×#41C22×D7312yes—
1145C2×#41C22×D7312yes—
1146C2×#41C22×D7312yes—
1147C22×Q8—734no—
1148C22×D4—738no—
1149C22×D4—738no—
1150C22×D4—734no—
1151C22×D4—738no—
1152C22×D4—734no—
1153C22×D4—731no—
1154C22×D4—732no—
1155C22×D4—731no—
1156C22×D4—732no—
1157C22×D4—732no—
1158C22×D4—732no—
1159C22×D4—732no—
1160C22×D4—734no—
1161C22×D4—1468no—
1162C23×C4—2928no—
1163C23×C4—732no—
1164C23×C4—732no—
1165C23×C4—734no—
1166C23×C4—738no—
1167C23×C4—732no—
1168C23×C4—734no—
1169C23×C4—734no—
1170C23×C4—732no—
1171C23×C4—732no—
1172C23×C4—734no—
1173C23×C4C22×D7311yescharacteristic
1174C23×C4C22×D7311yescharacteristic
1175C23×C4C22×D7311yescharacteristic
1176C4⋊Q8—734no—
1177C4⋊Q8—731no—
1178C4⋊Q8—731no—
1179C4⋊Q8—731no—
1180C4⋊Q8—734no—
1181C4⋊Q8C22×D7311yescharacteristic, complemented
1182C4⋊Q8C22×D7311yescharacteristic, complemented
1183C4⋊Q8C22×D7311yescharacteristic, complemented
1184#127—734no—
1185#127—731no—
1186#127—734no—
1187#127C22×D7311yescharacteristic, complemented
1188#126—738no—
1189#126—738no—
1190#126—738no—
1191#126—738no—
1192#126—738no—
1193#126—734no—
1194#126—734no—
1195#126—738no—
1196#126C22×D7314yescomplemented
1197#126C22×D7314yescomplemented
1198#125—738no—
1199#125—738no—
1200#125—734no—
1201#125—732no—
1202#125—732no—
1203#125—732no—
1204#125—734no—
1205#125C22×D7312yescomplemented
1206#125C22×D7312yescomplemented
1207#125C22×D7312yescomplemented
1208#124—734no—
1209#124—738no—
1210#124—738no—
1211#124—738no—
1212#124—732no—
1213#124—732no—
1214#124—732no—
1215#124—734no—
1216#124—738no—
1217#124C22×D7312yescomplemented
1218#124C22×D7312yescomplemented
1219#124C22×D7312yescomplemented
1220#123—738no—
1221#123—734no—
1222#123—734no—
1223#123—734no—
1224#123—738no—
1225#123—738no—
1226#123—738no—
1227#123—738no—
1228#123—738no—
1229#123—738no—
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#123C22×D7314yes—
1240#123C22×D7314yes—
1241#123C22×D7314yes—
1242C22⋊Q8—734no—
1243C22⋊Q8—734no—
1244C22⋊Q8—734no—
1245C22⋊Q8—738no—
1246C22⋊Q8—732no—
1247C22⋊Q8—732no—
1248C22⋊Q8—732no—
1249C22⋊Q8—732no—
1250C22⋊Q8—732no—
1251C22⋊Q8—732no—
1252C22⋊Q8—734no—
1253C22⋊Q8—738no—
1254C22⋊Q8—734no—
1255C22⋊Q8—734no—
1256C22⋊Q8—738no—
1257C22⋊Q8—738no—
1258C22⋊Q8—738no—
1259C22⋊Q8—738no—
1260C22⋊Q8—738no—
1261C22⋊Q8—738no—
1262C22⋊Q8—738no—
1263C22⋊Q8—738no—
1264C22⋊Q8C22×D7312yes—
1265C22⋊Q8C22×D7312yes—
1266C22⋊Q8C22×D7312yes—
1267C22⋊Q8C22×D7312yes—
1268C22⋊Q8C22×D7312yes—
1269C22⋊Q8C22×D7312yes—
1270#121—738no—
1271#121—734no—
1272#121—738no—
1273#121—734no—
1274#121—738no—
1275#121—734no—
1276#121—732no—
1277#121—732no—
1278#121—732no—
1279#121—732no—
1280#121—732no—
1281#121—732no—
1282#121—734no—
1283#121—734no—
1284#121—734no—
1285#121—738no—
1286#121—734no—
1287#121—734no—
1288#121—738no—
1289#121—738no—
1290#121—738no—
1291#121—734no—
1292#121—734no—
1293#121—738no—
1294#121—738no—
1295#121—738no—
1296#121—738no—
1297#121—738no—
1298#121C22×D7312yes—
1299#121C22×D7312yes—
1300#121C22×D7312yes—
1301#121C22×D7312yes—
1302#121C22×D7312yes—
1303#121C22×D7312yes—
1304#120—734no—
1305#120—738no—
1306#120—738no—
1307#120—738no—
1308#120—738no—
1309#120—738no—
1310#120—738no—
1311#120—738no—
1312#120—738no—
1313#120—738no—
1314#120—738no—
1315#120C22×D7314yes—
1316C4×Q8—734no—
1317C4×Q8—732no—
1318C4×Q8—732no—
1319C4×Q8—734no—
1320C4×Q8—732no—
1321C4×Q8—732no—
1322C4×Q8—732no—
1323C4×Q8—732no—
1324C4×Q8C22×D7312yescomplemented
1325C4×Q8C22×D7312yescomplemented
1326C4×Q8C22×D7312yescomplemented
1327C4×Q8C22×D7312yescomplemented
1328C4×Q8C22×D7312yescomplemented
1329C4×Q8C22×D7312yescomplemented
1330C4×D4—738no—
1331C4×D4—734no—
1332C4×D4—738no—
1333C4×D4—734no—
1334C4×D4—734no—
1335C4×D4—738no—
1336C4×D4—738no—
1337C4×D4—734no—
1338C4×D4—738no—
1339C4×D4—734no—
1340C4×D4—734no—
1341C4×D4—734no—
1342C4×D4—738no—
1343C4×D4—734no—
1344C4×D4—738no—
1345C4×D4—734no—
1346C4×D4—738no—
1347C4×D4—738no—
1348C4×D4—738no—
1349C4×D4—738no—
1350C4×D4—738no—
1351C4×D4—738no—
1352C4×D4—732no—
1353C4×D4—732no—
1354C4×D4—732no—
1355C4×D4—732no—
1356C4×D4—734no—
1357C4×D4—734no—
1358C4×D4—732no—
1359C4×D4—732no—
1360C4×D4—734no—
1361C4×D4—734no—
1362C4×D4—732no—
1363C4×D4—732no—
1364C4×D4—732no—
1365C4×D4—732no—
1366C4×D4—732no—
1367C4×D4—732no—
1368C4×D4—734no—
1369C4×D4—734no—
1370C4×D4—732no—
1371C4×D4—732no—
1372C4×D4—734no—
1373C4×D4—734no—
1374C4×D4—732no—
1375C4×D4—732no—
1376C4×D4—738no—
1377C4×D4—732no—
1378C4×D4—734no—
1379C4×D4—738no—
1380C4×D4—734no—
1381C4×D4—738no—
1382C4×D4—732no—
1383C4×D4—734no—
1384C4×D4—732no—
1385C4×D4—732no—
1386C4×D4—732no—
1387C4×D4—732no—
1388C4×D4C22×D7314yes—
1389C4×D4C22×D7314yes—
1390C4×D4C22×D7314yes—
1391C4×D4C22×D7314yes—
1392C4×D4C22×D7314yes—
1393C4×D4C22×D7314yes—
1394C4×D4C22×D7312yescomplemented
1395C4×D4C22×D7312yescomplemented
1396C4×D4C22×D7312yescomplemented
1397C4×D4C22×D7312yescomplemented
1398C4×D4C22×D7312yescomplemented
1399C4×D4C22×D7312yescomplemented
1400#117—732no—
1401#117—732no—
1402#117—734no—
1403#117—732no—
1404#117—734no—
1405#117—734no—
1406#117—738no—
1407#117—734no—
1408#117—738no—
1409#117—738no—
1410#117—734no—
1411#117—738no—
1412#117—734no—
1413#117—734no—
1414#117C22×D7312yes—
1415#117C22×D7312yes—
1416#117C22×D7312yes—
1417#117C22×D7314yescomplemented
1418#117C22×D7314yescomplemented
1419#117C22×D7314yescomplemented
1420C2×C4⋊C4—731no—
1421C2×C4⋊C4—731no—
1422C2×C4⋊C4—732no—
1423C2×C4⋊C4—732no—
1424C2×C4⋊C4—732no—
1425C2×C4⋊C4—732no—
1426C2×C4⋊C4—732no—
1427C2×C4⋊C4—734no—
1428C2×C4⋊C4—734no—
1429C2×C4⋊C4—734no—
1430C2×C4⋊C4—738no—
1431C2×C4⋊C4—734no—
1432C2×C4⋊C4—738no—
1433C2×C22⋊C4—732no—
1434C2×C22⋊C4—732no—
1435C2×C22⋊C4—732no—
1436C2×C22⋊C4—732no—
1437C2×C22⋊C4—734no—
1438C2×C22⋊C4—734no—
1439C2×C22⋊C4—734no—
1440C2×C22⋊C4—734no—
1441C2×C22⋊C4—738no—
1442C2×C22⋊C4—738no—
1443C2×C22⋊C4—738no—
1444C2×C22⋊C4—738no—
1445C2×C22⋊C4—738no—
1446C2×C22⋊C4—738no—
1447C2×C22⋊C4—738no—
1448C2×C42—738no—
1449C2×C42—734no—
1450C2×C42C22×D7311yescharacteristic
1451C2×C42C22×D7311yescharacteristic
1452C2×C42C22×D7311yescharacteristic
1453C2×C42C22×D7311yescharacteristic
1454C2×C42C22×D7311yescharacteristic
1455C2×C42C22×D7311yescharacteristic
1456C2×C42C22×D7311yescharacteristic
1457C2×C42C22×D7311yescharacteristic
1458C2×C42C22×D7311yescharacteristic
1459C2×C42C22×D7311yescharacteristic
1460C2×C42C22×D7311yescharacteristic
1461C2×C42C22×D7311yescharacteristic
1462C2×C42C22×D7314yescomplemented
1463C24—2924no—
1464C24—2924no—
1465C24—732no—
1466C24—738no—
1467C24—732no—
1468C24—734no—
1469C24—734no—
1470C24—1468no—
1471C24C23×D7311yescharacteristic
1472#41—28no—
1473#41—28no—
1474#41—44no—
1475#41—2924no—
1476#41—29216no—
1477#41—2928no—
1478#41—29216no—
1479#41—2928no—
1480#41—14616no—
1481#41—14616no—
1482#41—1468no—
1483#41—1468no—
1484C2×Q8—2928no—
1485C2×Q8—732no—
1486C2×Q8—738no—
1487C2×Q8—732no—
1488C2×Q8—732no—
1489C2×Q8C23×D7312yes—
1490C2×Q8C23×D7312yes—
1491C2×Q8C23×D7312yes—
1492C2×D4—29216no—
1493C2×D4—29216no—
1494C2×D4—2928no—
1495C2×D4—738no—
1496C2×D4—738no—
1497C2×D4—738no—
1498C2×D4—738no—
1499C2×D4—734no—
1500C2×D4—734no—
1501C2×D4—734no—
1502C2×D4—738no—
1503C2×D4—732no—
1504C2×D4—738no—
1505C2×D4—738no—
1506C2×D4—732no—
1507C2×D4—732no—
1508C2×D4—738no—
1509C2×D4—734no—
1510C2×D4—734no—
1511C2×D4—732no—
1512C2×D4—732no—
1513C2×D4—732no—
1514C2×D4—732no—
1515C2×D4—1468no—
1516C2×D4—1468no—
1517C2×D4—1468no—
1518C2×D4—1468no—
1519C2×D4—14616no—
1520C2×D4—1468no—
1521C2×D4—14616no—
1522C2×D4—14632no—
1523C2×D4—1464no—
1524C2×D4C23×D7314yes—
1525C2×D4C23×D7314yes—
1526C2×D4C23×D7312yes—
1527C2×D4C23×D7314yes—
1528C2×D4C23×D7312yes—
1529C2×D4C23×D7312yes—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—42no—
1533C22×C4—2928no—
1534C22×C4—2924no—
1535C22×C4—2928no—
1536C22×C4—2924no—
1537C22×C4—2928no—
1538C22×C4—2924no—
1539C22×C4—2924no—
1540C22×C4—29216no—
1541C22×C4—2924no—
1542C22×C4—732no—
1543C22×C4—734no—
1544C22×C4—732no—
1545C22×C4—738no—
1546C22×C4—738no—
1547C22×C4—734no—
1548C22×C4—734no—
1549C22×C4—734no—
1550C22×C4—738no—
1551C22×C4—738no—
1552C22×C4—734no—
1553C22×C4—734no—
1554C22×C4—734no—
1555C22×C4—738no—
1556C22×C4—734no—
1557C22×C4—734no—
1558C22×C4—734no—
1559C22×C4—734no—
1560C22×C4—734no—
1561C22×C4—734no—
1562C22×C4—14616no—
1563C22×C4C23×D7311yescharacteristic
1564C22×C4C23×D7311yescharacteristic
1565C22×C4C23×D7311yescharacteristic
1566C22×C4C23×D7311yescharacteristic
1567C22×C4C23×D7311yescharacteristic
1568C22×C4C23×D7311yescharacteristic
1569C22×C4C23×D7311yescharacteristic
1570C22×C4C23×D7311yescharacteristic
1571C22×C4C23×D7311yescharacteristic
1572C22×C4C23×D7311yescharacteristic
1573C22×C4C23×D7314yes—
1574C22×C4C23×D7311yescharacteristic
1575C22×C4C23×D7311yescharacteristic
1576C22×C4C23×D7314yes—
1577C22×C4C23×D7311yescharacteristic
1578C22×C4C23×D7311yescharacteristic
1579C22×C4C23×D7311yescharacteristic
1580C22×C4C23×D7311yescharacteristic
1581C22×C4C23×D7314yes—
1582C22×C4C23×D7311yescharacteristic
1583C22×C4C23×D7311yescharacteristic
1584C4⋊C4—738no—
1585C4⋊C4—734no—
1586C4⋊C4—734no—
1587C4⋊C4—738no—
1588C4⋊C4—738no—
1589C4⋊C4—738no—
1590C4⋊C4—734no—
1591C4⋊C4—734no—
1592C4⋊C4—734no—
1593C4⋊C4—734no—
1594C4⋊C4—732no—
1595C4⋊C4—732no—
1596C4⋊C4—732no—
1597C4⋊C4—732no—
1598C4⋊C4—734no—
1599C4⋊C4—734no—
1600C4⋊C4—732no—
1601C4⋊C4—732no—
1602C4⋊C4—732no—
1603C4⋊C4—738no—
1604C4⋊C4—738no—
1605C4⋊C4—732no—
1606C4⋊C4—732no—
1607C4⋊C4—732no—
1608C4⋊C4C23×D7312yes—
1609C4⋊C4C23×D7312yes—
1610C4⋊C4C23×D7312yes—
1611C4⋊C4C23×D7314yes—
1612C4⋊C4C23×D7314yes—
1613C4⋊C4C23×D7312yes—
1614C4⋊C4C23×D7314yes—
1615C4⋊C4C23×D7312yes—
1616C4⋊C4C23×D7312yes—
1617C4⋊C4C23×D7314yes—
1618C4⋊C4C23×D7314yes—
1619C4⋊C4C23×D7314yes—
1620C22⋊C4—734no—
1621C22⋊C4—734no—
1622C22⋊C4—734no—
1623C22⋊C4—738no—
1624C22⋊C4—738no—
1625C22⋊C4—734no—
1626C22⋊C4—734no—
1627C22⋊C4—734no—
1628C22⋊C4—734no—
1629C22⋊C4—734no—
1630C22⋊C4—734no—
1631C22⋊C4—734no—
1632C22⋊C4—734no—
1633C22⋊C4—738no—
1634C22⋊C4—738no—
1635C22⋊C4—734no—
1636C22⋊C4—734no—
1637C22⋊C4—738no—
1638C22⋊C4—734no—
1639C22⋊C4—738no—
1640C22⋊C4—738no—
1641C22⋊C4—738no—
1642C22⋊C4—738no—
1643C22⋊C4—738no—
1644C22⋊C4—734no—
1645C22⋊C4—734no—
1646C22⋊C4—734no—
1647C22⋊C4C23×D7314yes—
1648C22⋊C4C23×D7314yes—
1649C22⋊C4C23×D7314yes—
1650C22⋊C4C23×D7314yes—
1651C22⋊C4C23×D7314yes—
1652C22⋊C4C23×D7314yes—
1653C22⋊C4C23×D7314yes—
1654C22⋊C4C23×D7314yes—
1655C22⋊C4C23×D7314yes—
1656C42—738no—
1657C42—738no—
1658C42—734no—
1659C42—734no—
1660C42—734no—
1661C42C23×D7311yescharacteristic
1662C42C23×D7311yescharacteristic
1663C42C23×D7311yescharacteristic
1664C42C23×D7311yescharacteristic
1665C42C23×D7311yescharacteristic
1666C42C23×D7311yescharacteristic
1667C42C23×D7311yescharacteristic
1668C42C23×D7311yescharacteristic
1669C42C23×D7311yescharacteristic
1670C42C23×D7311yescharacteristic
1671C42C23×D7311yescharacteristic
1672C42C23×D7311yescharacteristic
1673C42C23×D7314yes—
1674C42C23×D7314yes—
1675C42C23×D7311yescharacteristic
1676C42C23×D7314yes—
1677C42C23×D7311yescharacteristic
1678C42C23×D7311yescharacteristic
1679C42C23×D7311yescharacteristic
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—29232no—
1684C23—2922no—
1685C23—2924no—
1686C23—2922no—
1687C23—2922no—
1688C23—2924no—
1689C23—2922no—
1690C23—2928no—
1691C23—2928no—
1692C23—738no—
1693C23—734no—
1694C23—734no—
1695C23—734no—
1696C23—1468no—
1697C23—1468no—
1698C23—14616no—
1699C23—1464no—
1700C23—1468no—
1701C23—1468no—
1702C23C24×D7314yes—
1703C23C24×D7311yescharacteristic
1704C23C24×D7311yescharacteristic
1705C23C24×D7311yescharacteristic
1706Q8—24no—
1707Q8—24no—
1708Q8—42no—
1709Q8—2928no—
1710Q8—2922no—
1711Q8—1464no—
1712Q8—1464no—
1713D4—28no—
1714D4—28no—
1715D4—28no—
1716D4—24no—
1717D4—24no—
1718D4—42no—
1719D4—2928no—
1720D4—2928no—
1721D4—2922no—
1722D4—2928no—
1723D4—2928no—
1724D4—2928no—
1725D4—738no—
1726D4—738no—
1727D4—1468no—
1728D4—1468no—
1729D4—14616no—
1730D4—14616no—
1731D4—1468no—
1732D4—1468no—
1733D4—1468no—
1734D4—1464no—
1735D4—1464no—
1736D4—1464no—
1737D4—1464no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—28no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—28no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—44no—
1757C2×C4—2924no—
1758C2×C4—2924no—
1759C2×C4—2924no—
1760C2×C4—2924no—
1761C2×C4—2928no—
1762C2×C4—2928no—
1763C2×C4—2928no—
1764C2×C4—2924no—
1765C2×C4—2922no—
1766C2×C4—2924no—
1767C2×C4—2922no—
1768C2×C4—2928no—
1769C2×C4—734no—
1770C2×C4—734no—
1771C2×C4—734no—
1772C2×C4—734no—
1773C2×C4—734no—
1774C2×C4—14616no—
1775C2×C4—1468no—
1776C2×C4—1468no—
1777C2×C4—1468no—
1778C2×C4—1468no—
1779C2×C4—1468no—
1780C2×C4—1468no—
1781C2×C4—1468no—
1782C2×C4#41×D7314yescomplemented
1783C2×C4#1455663714yescomplemented
1784C2×C4C24×D7311yescharacteristic
1785C2×C4C24×D7314yes—
1786C2×C4C24×D7314yes—
1787C2×C4C24×D7311yescharacteristic
1788C2×C4C24×D7311yescharacteristic
1789C2×C4C24×D7311yescharacteristic
1790C2×C4C24×D7311yescharacteristic
1791C2×C4C24×D7311yescharacteristic
1792C2×C4C24×D7311yescharacteristic
1793C2×C4C24×D7311yescharacteristic
1794C2×C4C24×D7314yes—
1795C2×C4C24×D7311yescharacteristic
1796C2×C4C24×D7311yescharacteristic
1797C2×C4C24×D7311yescharacteristic
1798C2×C4C24×D7311yescharacteristic
1799C22—28no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—2928no—
1810C22—29216no—
1811C22—29216no—
1812C22—2928no—
1813C22—58416no—
1814C22—738no—
1815C22—1464no—
1816C22—1464no—
1817C22—1464no—
1818C22—1464no—
1819C22—1464no—
1820C22—1464no—
1821C22—1464no—
1822C22—1464no—
1823C22C2×#41×D7312yes—
1824C22C2×#1455663712yes—
1825C22#1798942312yes—
1826C22C25×D7311yescharacteristic
1827C4—21no—
1828C4—21no—
1829C4—24no—
1830C4—21no—
1831C4—21no—
1832C4—24no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—24no—
1838C4—1464no—
1839C4—1464no—
1840C4—1464no—
1841C4—1464no—
1842C4—1464no—
1843C4C2×#41×D7312yes—
1844C4C2×#41×D7312yes—
1845C4C2×#1455663712yes—
1846C4C2×#1455663712yes—
1847C2—22no—
1848C2—22no—
1849C2—22no—
1850C2—44no—
1851C2—2924no—
1852C2—2924no—
1853C2—1468no—
1854C2C22×#41×D7311yescharacteristic
1855C2C22×#1455663711yescharacteristic
1856C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3444C2
hypercenter#3444D73
hypocenterC73#62773
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #22623982C2semidirect
2. #22623975C2semidirect
3. #22623965C2semidirect
4. #22623958C2semidirect
5. #22623875C2semidirect
6. #22623865C2semidirect
7. #22623785C2semidirect
8. #22623780C2semidirect
9. #22623766C2semidirect
10. #22623732C2semidirect
11. #22623693C2semidirect
12. #22623637C2semidirect
13. #22623614C2semidirect
14. #22623564C2semidirect
15. #22623541C2semidirect
16. #22623537C2semidirect
17. #22623498C2semidirect
18. #22623495C2semidirect
19. #41×D292C2semidirect
20. #22623417C2semidirect
21. #22623347C2semidirect
22. #22623341C2semidirect
23. #22623227C2semidirect
24. #525×D73C2semidirect
25. C4×#14556637C2semidirect
26. C22×C4×D292C2semidirect
27. C73×#3444C2semidirect
29. C2×#41×D73C22semidirect
31. C23×C4×D73C22semidirect
32. #17989322C22semidirect
33. #17989319C22semidirect
34. #17989311C22semidirect
35. #17989310C22semidirect
36. #17989303C22semidirect
37. #17989302C22semidirect
38. #17989298C22semidirect
39. #17989297C22semidirect
40. #17989297C22semidirect
41. #17989295C22semidirect
42. #17989294C22semidirect
43. #17989293C22semidirect
44. #17989290C22semidirect
45. #17989290C22semidirect
46. #17989289C22semidirect
47. #17989288C22semidirect
48. #17989287C22semidirect
49. #17989283C22semidirect
50. #17989283C22semidirect
51. #17989281C22semidirect
52. #17989279C22semidirect
53. #17989278C22semidirect
54. #17989277C22semidirect
55. #17989275C22semidirect
56. #17989266C22semidirect
57. #17989264C22semidirect
58. #17989262C22semidirect
59. #17989261C22semidirect
60. #17989261C22semidirect
61. #17989260C22semidirect
62. #17989259C22semidirect
63. #17989257C22semidirect
64. Q8×D292C22semidirect
65. #17989252C22semidirect
66. #17989249C22semidirect
67. #17989245C22semidirect
68. #17989242C22semidirect
69. #17989241C22semidirect
70. #17989241C22semidirect
71. #17989240C22semidirect
72. #17989240C22semidirect
73. #17989237C22semidirect
74. #17989233C22semidirect
75. #17989233C22semidirect
76. #17989233C22semidirect
77. #17989232C22semidirect
78. #17989232C22semidirect
79. #17989230C22semidirect
80. #17989230C22semidirect
81. #17989229C22semidirect
82. #17989228C22semidirect
83. #17989228C22semidirect
84. #17989226C22semidirect
85. #17989225C22semidirect
86. D4×D292C22semidirect
87. D4×D292C22semidirect
88. D4×D292C22semidirect
89. #17989222C22semidirect
90. #17989221C22semidirect
91. #17989221C22semidirect
92. #17989215C22semidirect
93. #17989212C22semidirect
94. #17989209C22semidirect
95. #17989208C22semidirect
96. #17989192C22semidirect
97. #17989188C22semidirect
98. #17989185C22semidirect
99. #17989181C22semidirect
100. #17989178C22semidirect
101. #17989177C22semidirect
102. #17989176C22semidirect
103. #17989174C22semidirect
104. #17989171C22semidirect
105. #17989170C22semidirect
106. #17989165C22semidirect
107. #17989156C22semidirect
108. #17989151C22semidirect
109. #17989148C22semidirect
110. #17989145C22semidirect
111. #17989144C22semidirect
112. #17989144C22semidirect
113. #17989144C22semidirect
114. #17989137C22semidirect
115. #17989137C22semidirect
116. #17989137C22semidirect
117. #17989137C22semidirect
118. #17989134C22semidirect
119. #17989124C22semidirect
120. #17989124C22semidirect
121. #17989121C22semidirect
122. #17989121C22semidirect
123. #17989121C22semidirect
124. #17989121C22semidirect
125. #17989121C22semidirect
126. #17989121C22semidirect
127. #17989121C22semidirect
128. #17989115C22semidirect
129. #17989100C22semidirect
130. #17989100C22semidirect
131. #17989099C22semidirect
132. #17989099C22semidirect
133. #17989098C22semidirect
134. #17989098C22semidirect
135. #17989098C22semidirect
136. #17989097C22semidirect
137. #17989097C22semidirect
138. #17989096C22semidirect
139. #17989096C22semidirect
140. #17989096C22semidirect
141. #17989095C22semidirect
142. #17989094C22semidirect
143. #17989093C22semidirect
144. #123×D73C22semidirect
145. C22⋊Q8×D73C22semidirect
146. C22⋊Q8×D73C22semidirect
147. #121×D73C22semidirect
148. #121×D73C22semidirect
149. #120×D73C22semidirect
150. #17989070C22semidirect
151. #17989069C22semidirect
152. #17989067C22semidirect
153. #17989067C22semidirect
155. #17989061C22semidirect
156. #17989059C22semidirect
157. #17989059C22semidirect
158. C4×#11924029C22semidirect
159. C4×#11924028C22semidirect
160. C4×#11924028C22semidirect
161. C4×#11924028C22semidirect
162. C4×#11924028C22semidirect
165. C2×C4×D292C22semidirect
166. C2×C4×D292C22semidirect
167. C2×C4×D292C22semidirect
168. C2×C4×D292C22semidirect
169. C2×C4×D292C22semidirect
170. C2×C4×D292C22semidirect
171. C2×C4×D292C22semidirect
172. C2×C4×D292C22semidirect
173. C2×C4×D292C22semidirect
174. C2×C4×D292C22semidirect
175. C2×C4×D292C22semidirect
176. C2×C4×D292C22semidirect
177. C2×C4×D292C22semidirect
178. C4×D4×D73C22semidirect
179. C4×D4×D73C22semidirect
180. C4×D4×D73C22semidirect
181. #117×D73C22semidirect
182. C22×C4⋊Dic73C22semidirect
183. C22×#11924005C22semidirect
184. #533×C73C22semidirect
185. #533×C73C22semidirect
186. #533×C73C22semidirect
187. #532×C73C22semidirect
188. #532×C73C22semidirect
189. #532×C73C22semidirect
190. #529×C73C22semidirect
191. #529×C73C22semidirect
192. #529×C73C22semidirect
193. #529×C73C22semidirect
194. #529×C73C22semidirect
195. #529×C73C22semidirect
196. #525×C73C22semidirect
197. #525×C73C22semidirect
198. #525×C73C22semidirect
199. C4×#41×C73C22semidirect
200. C4×#41×C73C22semidirect
201. C4×#41×C73C22semidirect
202. C22×C42×C73C22semidirect
206. C2×#11924029C23semidirect
211. C2×#11924028C23semidirect
213. C2×#11924027C23semidirect
215. C2×Q8×D73C23semidirect
229. C2×D4×D73C23semidirect
240. C22×C4×D73C23semidirect
241. #14556591C23semidirect
242. #14556591C23semidirect
243. #14556591C23semidirect
244. #14556591C23semidirect
245. #14556590C23semidirect
247. #14556588C23semidirect
249. #14556586C23semidirect
250. #14556586C23semidirect
251. #14556586C23semidirect
252. #14556586C23semidirect
253. #14556585C23semidirect
254. #14556585C23semidirect
255. #14556585C23semidirect
256. #14556584C23semidirect
257. #14556583C23semidirect
258. #14556583C23semidirect
259. #14556583C23semidirect
260. #14556583C23semidirect
261. #14556582C23semidirect
262. #14556582C23semidirect
263. #14556581C23semidirect
265. #14556580C23semidirect
267. #14556579C23semidirect
268. #14556579C23semidirect
269. #14556579C23semidirect
270. #14556579C23semidirect
271. #14556577C23semidirect
272. #14556577C23semidirect
275. #14556576C23semidirect
276. #14556576C23semidirect
277. #14556576C23semidirect
278. #14556576C23semidirect
279. #14556576C23semidirect
281. #14556575C23semidirect
282. #14556575C23semidirect
286. #14556574C23semidirect
287. #14556573C23semidirect
288. #14556573C23semidirect
289. #14556573C23semidirect
290. #14556573C23semidirect
292. #14556571C23semidirect
293. #14556571C23semidirect
294. #14556571C23semidirect
295. #14556571C23semidirect
302. #14556570C23semidirect
303. #14556569C23semidirect
304. #14556569C23semidirect
305. #14556569C23semidirect
306. #14556569C23semidirect
309. #14556568C23semidirect
310. #14556567C23semidirect
311. #14556567C23semidirect
312. #14556567C23semidirect
313. #14556567C23semidirect
318. #14556566C23semidirect
319. #14556566C23semidirect
320. #14556566C23semidirect
329. #14556565C23semidirect
330. #14556565C23semidirect
333. #14556564C23semidirect
334. #14556564C23semidirect
335. #14556564C23semidirect
338. #14556563C23semidirect
339. #14556562C23semidirect
340. #14556562C23semidirect
341. #14556562C23semidirect
347. #14556561C23semidirect
352. #14556559C23semidirect
353. Q8×Dic73C23semidirect
354. C4×Dic146C23semidirect
355. C4×Dic146C23semidirect
356. C4×Dic146C23semidirect
357. C4×Dic146C23semidirect
358. C4×Dic146C23semidirect
359. C4×Dic146C23semidirect
360. C4×Dic146C23semidirect
387. C4×D292C23semidirect
388. C4×D292C23semidirect
389. C4×D292C23semidirect
390. C4×D292C23semidirect
391. C4×D292C23semidirect
392. C4×D292C23semidirect
393. C4×D292C23semidirect
394. C4×D292C23semidirect
395. C4×D292C23semidirect
396. C4×D292C23semidirect
399. D4×Dic73C23semidirect
402. #14556553C23semidirect
403. #14556553C23semidirect
404. #14556553C23semidirect
411. C4×C22⋊D73C23semidirect
412. C4×C22⋊D73C23semidirect
413. C4×C22⋊D73C23semidirect
416. #14556551C23semidirect
417. #14556551C23semidirect
418. #14556551C23semidirect
422. #14556550C23semidirect
423. #14556549C23semidirect
424. #14556549C23semidirect
425. #14556549C23semidirect
426. #14556549C23semidirect
427. #14556548C23semidirect
428. #14556548C23semidirect
429. #14556548C23semidirect
430. #14556548C23semidirect
431. #14556548C23semidirect
440. C2×C4⋊Dic73C23semidirect
441. C4⋊C4×D73C23semidirect
442. C4⋊C4×D73C23semidirect
443. C4⋊C4×D73C23semidirect
444. C4⋊C4×D73C23semidirect
445. C4⋊C4×D73C23semidirect
454. C2×#11924005C23semidirect
458. C22⋊C4×D73C23semidirect
459. C22⋊C4×D73C23semidirect
460. C22⋊C4×D73C23semidirect
461. C42×D73C23semidirect
462. C42×D73C23semidirect
469. C4⋊Q8×C73C23semidirect
470. C4⋊Q8×C73C23semidirect
471. C4⋊Q8×C73C23semidirect
472. #127×C73C23semidirect
473. #126×C73C23semidirect
474. #126×C73C23semidirect
475. #125×C73C23semidirect
476. #125×C73C23semidirect
477. #125×C73C23semidirect
478. #124×C73C23semidirect
479. #124×C73C23semidirect
480. #124×C73C23semidirect
497. C4×Q8×C73C23semidirect
498. C4×Q8×C73C23semidirect
499. C4×Q8×C73C23semidirect
500. C4×Q8×C73C23semidirect
501. C4×Q8×C73C23semidirect
502. C4×Q8×C73C23semidirect
509. C4×D4×C73C23semidirect
510. C4×D4×C73C23semidirect
511. C4×D4×C73C23semidirect
512. C4×D4×C73C23semidirect
513. C4×D4×C73C23semidirect
514. C4×D4×C73C23semidirect
518. #117×C73C23semidirect
519. #117×C73C23semidirect
520. #117×C73C23semidirect
533. C2×C42×C73C23semidirect
563. C2×D292#41semidirect
773. C22×D73C2×#41semidirect
805. C2×C4×C73C2×#41semidirect
806. C2×C4×C73H(5,𝔽2)semidirect
849. D292C2×#41semidirect
850. D292C2×#41semidirect
952. #3444D73semidirect
956. C73#62773semidirect
1043. #533C2×D73semidirect
1044. #533C2×D73semidirect
1045. #533C2×D73semidirect
1051. #532C2×D73semidirect
1052. #532C2×D73semidirect
1053. #532C2×D73semidirect
1064. #529C2×D73semidirect
1065. #529C2×D73semidirect
1066. #529C2×D73semidirect
1067. #529C2×D73semidirect
1068. #529C2×D73semidirect
1069. #529C2×D73semidirect
1085. #525C2×D73semidirect
1086. #525C2×D73semidirect
1087. #525C2×D73semidirect
1107. C4×#41C2×D73semidirect
1108. C4×#41C2×D73semidirect
1109. C4×#41C2×D73semidirect
1131. C22×C42C2×D73semidirect
1181. C4⋊Q8C22×D73semidirect
1182. C4⋊Q8C22×D73semidirect
1183. C4⋊Q8C22×D73semidirect
1187. #127C22×D73semidirect
1196. #126C22×D73semidirect
1197. #126C22×D73semidirect
1205. #125C22×D73semidirect
1206. #125C22×D73semidirect
1207. #125C22×D73semidirect
1217. #124C22×D73semidirect
1218. #124C22×D73semidirect
1219. #124C22×D73semidirect
1324. C4×Q8C22×D73semidirect
1325. C4×Q8C22×D73semidirect
1326. C4×Q8C22×D73semidirect
1327. C4×Q8C22×D73semidirect
1328. C4×Q8C22×D73semidirect
1329. C4×Q8C22×D73semidirect
1394. C4×D4C22×D73semidirect
1395. C4×D4C22×D73semidirect
1396. C4×D4C22×D73semidirect
1397. C4×D4C22×D73semidirect
1398. C4×D4C22×D73semidirect
1399. C4×D4C22×D73semidirect
1417. #117C22×D73semidirect
1418. #117C22×D73semidirect
1419. #117C22×D73semidirect
1462. C2×C42C22×D73semidirect
1782. C2×C4#41×D73semidirect
1783. C2×C4#14556637semidirect

Maximal subgroups

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

subgroupindex
#226239822
#226239752
#226239652
#226239582
#226238752
#226238652
#226237852
#226237802
#226237662
#226237322
#226236932
#226236372
#226236142
#226235642
#226235412
#226235372
#226234982
#226234952
#41×D2922
#226234172
#226233472
#226233412
#226232272
#525×D732
C4×#145566372
C22×C4×D2922
C73×#34442
#6277373