Finite Group Databasebeta

← #33993653

Subgroups — #33993653

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624523C214yesmaximal, complemented
2#22624503C212yesmaximal, complemented
3#22624487C214yesmaximal, complemented
4#22624469C212yesmaximal, complemented
5#22624454C212yesmaximal, complemented
6#22624450C212yesmaximal, complemented
7#22624396C212yesmaximal, complemented
8#22624372C212yesmaximal, complemented
9#22624297C212yesmaximal, complemented
10#22624264C212yesmaximal, complemented
11#22624166C212yesmaximal, complemented
12#22624153C212yesmaximal, complemented
13#22624121C214yesmaximal, complemented
14#22624067C214yesmaximal, complemented
15#22623535C214yesmaximal, complemented
16#22623528C212yesmaximal, complemented
17#22623417C212yesmaximal, complemented
18#41×C22⋊D73C214yesmaximal, complemented
19#22623345C214yesmaximal, complemented
20#22623340C214yesmaximal, complemented
21#22623320C212yesmaximal, complemented
22#22623258C212yesmaximal, complemented
23#22623227C211yesmaximal, characteristic, complemented
24C2×#17989121C211yesmaximal, characteristic, complemented
25C2×#532×C73C211yesmaximal, characteristic, complemented
26C2×#41×D73C2214yescomplemented
27#17989337C2214yescomplemented
28#17989336C2218yescomplemented
29#17989332C2218yescomplemented
30#17989332C2218yescomplemented
31#17989331C2214yescomplemented
32#17989331C2214yescomplemented
33#17989329C2214yescomplemented
34#17989325C2218yescomplemented
35#17989325C2218yescomplemented
36#17989324C2218yescomplemented
37#17989323C2212yescomplemented
38#17989320C2214yescomplemented
39#17989319C2214yescomplemented
40#17989312C2212yescomplemented
41#17989311C2212yescomplemented
42#17989306C2214yescomplemented
43#17989296C2214yescomplemented
44#17989292C2214yescomplemented
45#17989289C2214yescomplemented
46#17989287C2214yescomplemented
47#17989286C2218yescomplemented
48#17989285C2214yescomplemented
49#17989280C2218yescomplemented
50#17989266C2218yescomplemented
51#17989263C2218yescomplemented
52#17989257C2212yescomplemented
53#17989257C2212yescomplemented
54#17989256C2214yescomplemented
55#17989252C2212yescomplemented
56Q8×C22⋊D73C2214yescomplemented
57#17989248C2214yescomplemented
58#17989245C2214yescomplemented
59#17989244C2214yescomplemented
60#17989243C2214yescomplemented
61#17989240C2212yescomplemented
62#17989237C2214yescomplemented
63#17989236C2214yescomplemented
64#17989236C2218yescomplemented
65#17989232C2214yescomplemented
66#17989231C2214yescomplemented
67#17989231C2214yescomplemented
68#17989231C2218yescomplemented
69#17989230C2214yescomplemented
70#17989227C2218yescomplemented
71#17989226C2218yescomplemented
72#17989225C2214yescomplemented
73#17989225C2218yescomplemented
74#17989222C2212yescomplemented
75#17989221C2214yescomplemented
76D4×C22⋊D73C2214yescomplemented
77D4×C22⋊D73C2214yescomplemented
78D4×C22⋊D73C2218yescomplemented
79#17989214C2214yescomplemented
80#17989213C2214yescomplemented
81#17989211C2214yescomplemented
82#17989206C2214yescomplemented
83#17989206C2214yescomplemented
84#17989204C2214yescomplemented
85#17989201C2218yescomplemented
86#17989198C2214yescomplemented
87#17989191C2214yescomplemented
88#17989191C2214yescomplemented
89#17989190C2214yescomplemented
90#17989187C2218yescomplemented
91#17989184C2218yescomplemented
92#17989182C2214yescomplemented
93#17989182C2214yescomplemented
94#17989179C2218yescomplemented
95#17989179C2218yescomplemented
96#17989175C2214yescomplemented
97#17989175C2214yescomplemented
98#17989174C2214yescomplemented
99#17989174C2214yescomplemented
100#17989171C2218yescomplemented
101#17989170C2218yescomplemented
102#17989170C2218yescomplemented
103#17989169C2218yescomplemented
104#17989166C2214yescomplemented
105#17989164C2214yescomplemented
106#17989164C2214yescomplemented
107#17989162C2214yescomplemented
108#17989157C2214yescomplemented
109#17989155C2214yescomplemented
110#17989153C2214yescomplemented
111#17989150C2214yescomplemented
112#17989150C2214yescomplemented
113#17989149C2214yescomplemented
114#17989146C2218yescomplemented
115#17989145C2214yescomplemented
116#17989145C2214yescomplemented
117#17989144C2211yescharacteristic, complemented
118#17989144C2211yescharacteristic, complemented
119#17989144C2211yescharacteristic, complemented
120#17989137C2211yescharacteristic, complemented
121#17989137C2211yescharacteristic, complemented
122#17989137C2211yescharacteristic, complemented
123#17989134C2214yescomplemented
124#17989133C2214yescomplemented
125#17989133C2218yescomplemented
126#17989121C2212yescomplemented
127#17989121C2212yescomplemented
128#17989121C2212yescomplemented
129#17989121C2212yescomplemented
130#17989121C2212yescomplemented
131#17989121C2212yescomplemented
132#17989121C2212yescomplemented
133#17989121C2212yescomplemented
134#17989121C2212yescomplemented
135#17989121C2212yescomplemented
136#17989121C2212yescomplemented
137#17989121C2212yescomplemented
138#17989121C2212yescomplemented
139#17989121C2212yescomplemented
140#17989119C2214yescomplemented
141#17989117C2218yescomplemented
142#17989117C2218yescomplemented
143#17989117C2218yescomplemented
144C2×#14556585C2212yescomplemented
145C2×#14556583C2211yescharacteristic, complemented
146C2×#14556579C2211yescharacteristic, complemented
147#17989098C2218yescomplemented
148#17989098C2212yescomplemented
149#17989098C2212yescomplemented
150#17989098C2212yescomplemented
151#17989096C2218yescomplemented
152#17989096C2218yescomplemented
153#17989096C2218yescomplemented
154#17989094C2218yescomplemented
155#17989094C2214yescomplemented
156C2×#14556574C2212yescomplemented
157C2×#14556570C2211yescharacteristic, complemented
158C2×#14556565C2211yescharacteristic
159#41×Dic73C2214yescomplemented
160C4×#11924028C2212yescomplemented
161C4×#11924028C2212yescomplemented
162C4×#11924028C2212yescomplemented
163C4×#11924027C2214yescomplemented
164C2×C4×Dic146C2211yescharacteristic, complemented
165C2×C4×D292C2211yescharacteristic, complemented
166C2×C4×C22⋊D73C2218yescomplemented
167C2×C4×C22⋊D73C2212yescomplemented
168C4×D4×D73C2214yescomplemented
169C2×#14556548C2212yescomplemented
170C22×#41×C73C2212yescomplemented
171#532×C73C2212yescomplemented
172#532×C73C2212yescomplemented
173#532×C73C2212yescomplemented
174#532×C73C2212yescomplemented
175#532×C73C2212yescomplemented
176#532×C73C2212yescomplemented
177#532×C73C2212yescomplemented
178#532×C73C2212yescomplemented
179C2×C4⋊Q8×C73C2211yescharacteristic, complemented
180C2×#127×C73C2211yescharacteristic, complemented
181C2×#124×C73C2212yescomplemented
182C2×#121×C73C2212yescomplemented
183C2×#121×C73C2212yescomplemented
184C2×C4×D4×C73C2212yescomplemented
185C2×C4×D4×C73C2212yescomplemented
186C22×C42×C73C2211yescharacteristic, complemented
187C2×#11924029C2314yes—
188C2×#11924028C2312yes—
189C2×#11924028C2318yes—
190C2×#11924028C2312yes—
191C2×#11924028C2312yes—
192C2×#11924027C2314yes—
193C2×#11924027C2314yes—
194C2×#11924027C2318yes—
195#41×D73—416no—
196C22×Dic146C2311yescharacteristic
197C2×Q8×D73C2314yes—
198C22×D292C2311yescharacteristic
199C22×C22⋊D73C2318yes—
200C22×C22⋊D73C2312yes—
201C2×D4×D73C2318yes—
202C2×D4×D73C2314yes—
203C2×D4×D73C2314yes—
204C22×C4×D73C2312yes—
205C22×C4×D73C2318yes—
206#14556591C2311yescharacteristic
207#14556591C2311yescharacteristic
208#14556591C2311yescharacteristic
209#14556590C2314yes—
210#14556589C2314yes—
211#14556589C2318yes—
212#14556588C2311yescharacteristic
213#14556587C2314yes—
214#14556587C2318yes—
215#14556587C2314yes—
216#14556586C2318yes—
217#14556586C2318yes—
218#14556586C2318yes—
219#14556585C2314yes—
220#14556585C2314yes—
221#14556585C2314yes—
222#14556585C2314yes—
223#14556585C2314yes—
224#14556585C2314yes—
225#14556584C2318yes—
226#14556584C2318yes—
227#14556584C2318yes—
228#14556584C2318yes—
229#14556583C2312yes—
230#14556583C2312yes—
231#14556583C2312yes—
232#14556583C2312yes—
233#14556583C2312yes—
234#14556583C2312yes—
235#14556583C2312yes—
236#14556582C2314yes—
237#14556581C2318yes—
238#14556581C2318yes—
239#14556581C2318yes—
240#14556580C2314yes—
241#14556580C2318yes—
242#14556579C2312yes—
243#14556579C2312yes—
244#14556579C2312yes—
245#14556579C2312yes—
246#14556579C2312yes—
247#14556579C2312yes—
248#14556579C2312yes—
249#14556578C2314yes—
250#14556578C2318yes—
251#14556578C2314yes—
252#14556577C2318yes—
253#14556577C2318yes—
254#14556577C2318yes—
255#14556577C2318yes—
256#14556576C2318yes—
257#14556576C2318yes—
258#14556576C2318yes—
259#14556575C2318yes—
260#14556575C2318yes—
261#14556575C2318yes—
262#14556574C2314yes—
263#14556574C2314yes—
264#14556574C2314yes—
265#14556574C2314yes—
266#14556574C2314yes—
267#14556574C2314yes—
268#14556574C2314yes—
269#14556574C2318yes—
270#14556574C2318yes—
271#14556573C2318yes—
272#14556573C2318yes—
273#14556573C2318yes—
274#14556573C2318yes—
275#14556572C2318yes—
276#14556572C2318yes—
277#14556572C2318yes—
278#14556572C2318yes—
279#14556572C2318yes—
280#14556572C2318yes—
281#14556571C2314yes—
282#14556570C2312yes—
283#14556570C2312yes—
284#14556570C2312yes—
285#14556570C2312yes—
286#14556570C2312yes—
287#14556570C2312yes—
288#14556570C2312yes—
289#14556570C2312yes—
290#14556570C2312yes—
291#14556570C2312yes—
292#14556570C2318yes—
293#14556570C2318yes—
294#14556569C2318yes—
295#14556569C2318yes—
296#14556569C2318yes—
297#14556568C2318yes—
298#14556568C2318yes—
299#14556568C2318yes—
300#14556568C2318yes—
301#14556568C2318yes—
302#14556568C2318yes—
303#14556567C2318yes—
304#14556567C2314yes—
305#14556567C2314yes—
306#14556567C2318yes—
307#14556566C2314yes—
308#14556565C2312yes—
309#14556565C2312yes—
310#14556565C2312yes—
311#14556565C2312yes—
312#14556565C2312yes—
313#14556565C2312yes—
314#14556565C2312yes—
315#14556565C2312yes—
316#14556565C2312yes—
317#14556565C2312yes—
318#14556565C2318yes—
319#14556565C2318yes—
320#14556564C2318yes—
321#14556564C2318yes—
322#14556564C2318yes—
323#14556564C2318yes—
324#14556563C2318yes—
325#14556563C2318yes—
326#14556563C2318yes—
327#14556563C2318yes—
328#14556563C2318yes—
329#14556563C2318yes—
330#14556563C2318yes—
331#14556563C2318yes—
332#14556563C2318yes—
333#14556563C2318yes—
334#14556563C2318yes—
335#14556563C2318yes—
336#14556562C2314yes—
337#14556562C2314yes—
338#14556562C2318yes—
339#14556562C2318yes—
340#14556562C2314yes—
341#14556562C2314yes—
342#14556561C2318yes—
343#14556561C2318yes—
344#14556561C2318yes—
345#14556560C2318yes—
346#14556560C2318yes—
347#14556560C2314yes—
348#14556559C2318yes—
349#14556559C2318yes—
350#14556559C2318yes—
351#14556559C2318yes—
352#14556559C2318yes—
353#14556559C2318yes—
354Q8×Dic73C2314yes—
355Q8×Dic73C2314yes—
356C4×Dic146C2312yes—
357C4×Dic146C2312yes—
358C4×Dic146C2312yes—
359C4×Dic146C2312yes—
360C4×Dic146C2312yes—
361C4×Dic146C2312yes—
362C4×Dic146C2312yes—
363C4×Dic146C2312yes—
364C4×Dic146C2312yes—
365C4×Dic146C2312yes—
366#14556556C2314yes—
367C4×D292C2312yes—
368C4×D292C2312yes—
369C4×D292C2312yes—
370C4×D292C2312yes—
371C4×D292C2312yes—
372C4×D292C2312yes—
373C4×D292C2312yes—
374C4×D292C2312yes—
375C4×D292C2312yes—
376C4×D292C2312yes—
377D4×Dic73C2318yes—
378D4×Dic73C2318yes—
379D4×Dic73C2314yes—
380D4×Dic73C2314yes—
381D4×Dic73C2314yes—
382D4×Dic73C2314yes—
383#14556553C2314yes—
384C4×C22⋊D73C2314yes—
385C4×C22⋊D73C2314yes—
386C4×C22⋊D73C2314yes—
387C4×C22⋊D73C2314yes—
388C4×C22⋊D73C2314yes—
389C4×C22⋊D73C2314yes—
390C4×C22⋊D73C2314yes—
391C4×C22⋊D73C2314yes—
392C4×C22⋊D73C2314yes—
393C4×C22⋊D73C2314yes—
394C4×C22⋊D73C2318yes—
395C4×C22⋊D73C2318yes—
396C4×C22⋊D73C2318yes—
397C4×C22⋊D73C2318yes—
398C4×C22⋊D73C2318yes—
399C4×C22⋊D73C2318yes—
400C4×C22⋊D73C2318yes—
401C4×C22⋊D73C2318yes—
402#14556551C2318yes—
403#14556551C2318yes—
404#14556550C2312yes—
405#14556550C2312yes—
406#14556550C2312yes—
407#14556550C2318yes—
408#14556549C2314yes—
409#14556548C2314yes—
410#14556548C2314yes—
411#14556548C2314yes—
412#14556548C2314yes—
413#14556548C2314yes—
414#14556548C2314yes—
415#14556548C2314yes—
416#14556547C2318yes—
417C2×C4⋊Dic73C2311yescharacteristic
418C2×C4⋊Dic73C2311yescharacteristic
419C2×#11924007C2312yes—
420C2×#11924007C2312yes—
421C2×#11924007C2318yes—
422C2×#11924007C2312yes—
423C2×#11924007C2312yes—
424C4⋊C4×D73C2314yes—
425C2×C22⋊Dic73C2318yes—
426C2×C22⋊Dic73C2312yes—
427C2×#11924005C2312yes—
428C2×#11924005C2312yes—
429C2×#11924005C2318yes—
430C2×#11924005C2312yes—
431C2×#11924005C2312yes—
432C22⋊C4×D73C2318yes—
433C2×C4×Dic73C2312yes—
434C2×C4×Dic73C2318yes—
435C42×D73C2314yes—
436C2×#41×C73—48no—
437C2×#41×C73C2314yes—
438C2×#41×C73C2314yes—
439C2×#41×C73C2314yes—
440C2×#41×C73C2314yes—
441C22×Q8×C73C2312yes—
442C22×D4×C73C2312yes—
443C22×D4×C73C2312yes—
444C22×D4×C73C2314yes—
445C22×D4×C73C2312yes—
446C23×C4×C73C2311yescharacteristic
447C23×C4×C73C2311yescharacteristic
448C23×C4×C73C2311yescharacteristic
449C23×C4×C73C2314yes—
450C4⋊Q8×C73C2312yes—
451C4⋊Q8×C73C2312yes—
452C4⋊Q8×C73C2312yes—
453C4⋊Q8×C73C2312yes—
454#127×C73C2312yes—
455#127×C73C2312yes—
456#127×C73C2312yes—
457#127×C73C2312yes—
458#124×C73C2314yes—
459#124×C73C2314yes—
460#124×C73C2314yes—
461#124×C73C2314yes—
462#121×C73C2314yes—
463#121×C73C2314yes—
464#121×C73C2314yes—
465#121×C73C2314yes—
466#121×C73C2314yes—
467#121×C73C2314yes—
468#121×C73C2314yes—
469#121×C73C2314yes—
470C4×D4×C73C2314yes—
471C4×D4×C73C2314yes—
472C4×D4×C73C2314yes—
473C4×D4×C73C2314yes—
474C4×D4×C73C2314yes—
475C4×D4×C73C2314yes—
476C4×D4×C73C2314yes—
477C4×D4×C73C2314yes—
478C2×C4⋊C4×C73C2312yes—
479C2×C4⋊C4×C73C2312yes—
480C2×C22⋊C4×C73C2314yes—
481C2×C22⋊C4×C73C2314yes—
482C2×C42×C73C2311yescharacteristic
483C2×C42×C73C2311yescharacteristic
484C2×C42×C73C2311yescharacteristic
485C2×C42×C73C2311yescharacteristic
486C2×C42×C73C2311yescharacteristic
487C2×C42×C73C2311yescharacteristic
488C2×C42×C73C2311yescharacteristic
489C2×C42×C73C2311yescharacteristic
490C2×C42×C73C2311yescharacteristic
491C2×C42×C73C2311yescharacteristic
492C2×C42×C73C2311yescharacteristic
493C2×C42×C73C2311yescharacteristic
494C23×D73C2412yes—
495C23×D73C2418yes—
496#11924029—48no—
497#11924028—28no—
498#11924028—416no—
499#11924028—44no—
500#11924028—44no—
501#11924027—48no—
502#11924027—48no—
503#11924027—416no—
504C2×Dic146—42no—
505C2×Dic146C2412yes—
506C2×Dic146C2412yes—
507C2×Dic146C2412yes—
508C2×Dic146C2412yes—
509C2×Dic146C2412yes—
510C2×Dic146C2418yes—
511Q8×D73—48no—
512C2×D292—42no—
513C2×D292C2412yes—
514C2×D292C2412yes—
515C2×D292C2412yes—
516C2×D292C2412yes—
517C2×D292C2412yes—
518C2×D292C2418yes—
519C2×C22⋊D73—44no—
520C2×C22⋊D73—416no—
521C2×C22⋊D73C2414yes—
522C2×C22⋊D73C2414yes—
523C2×C22⋊D73C2414yes—
524C2×C22⋊D73C2418yes—
525C2×C22⋊D73C2418yes—
526C2×C22⋊D73C2414yes—
527C2×C22⋊D73C2418yes—
528C2×C22⋊D73C2414yes—
529C2×C22⋊D73C2418yes—
530C2×C22⋊D73C2418yes—
531C2×C22⋊D73C2418yes—
532D4×D73—48no—
533D4×D73—48no—
534D4×D73—416no—
535C22×Dic73C2412yes—
536C22×Dic73C2412yes—
537C22×Dic73C2418yes—
538C22×Dic73C2412yes—
539C22×Dic73C2418yes—
540C22×Dic73C2418yes—
541C2×C4×D73—28no—
542C2×C4×D73—416no—
543C2×C4×D73C2414yes—
544C2×C4×D73C2414yes—
545C2×C4×D73C2414yes—
546C2×C4×D73C2414yes—
547C2×C4×D73C2414yes—
548C2×C4×D73C2418yes—
549C2×C4×D73C2418yes—
550C4⋊Dic73C2412yes—
551C4⋊Dic73C2412yes—
552C4⋊Dic73C2412yes—
553C4⋊Dic73C2412yes—
554C4⋊Dic73C2412yes—
555C4⋊Dic73C2412yes—
556C4⋊Dic73C2418yes—
557C4⋊Dic73C2418yes—
558C4⋊Dic73C2412yes—
559C4⋊Dic73C2412yes—
560C4⋊Dic73C2412yes—
561C4⋊Dic73C2412yes—
562#11924007C2418yes—
563#11924007C2414yes—
564#11924007C2414yes—
565#11924007C2414yes—
566#11924007C2414yes—
567#11924007C2414yes—
568#11924007C2414yes—
569#11924007C2414yes—
570#11924007C2414yes—
571#11924007C2418yes—
572#11924007C2418yes—
573#11924007C2414yes—
574#11924007C2418yes—
575#11924007C2414yes—
576#11924007C2414yes—
577#11924007C2414yes—
578#11924007C2414yes—
579#11924007C2414yes—
580C22⋊Dic73C2418yes—
581C22⋊Dic73C2414yes—
582C22⋊Dic73C2414yes—
583C22⋊Dic73C2418yes—
584C22⋊Dic73C2418yes—
585C22⋊Dic73C2414yes—
586C22⋊Dic73C2418yes—
587C22⋊Dic73C2414yes—
588C22⋊Dic73C2414yes—
589C22⋊Dic73C2418yes—
590C22⋊Dic73C2418yes—
591#11924005C2414yes—
592#11924005C2418yes—
593#11924005C2414yes—
594#11924005C2414yes—
595#11924005C2414yes—
596#11924005C2414yes—
597#11924005C2414yes—
598#11924005C2414yes—
599#11924005C2414yes—
600#11924005C2418yes—
601#11924005C2418yes—
602#11924005C2414yes—
603#11924005C2414yes—
604#11924005C2414yes—
605#11924005C2414yes—
606#11924005C2414yes—
607#11924005C2414yes—
608#11924005C2418yes—
609C4×Dic73C2414yes—
610C4×Dic73C2414yes—
611C4×Dic73C2414yes—
612C4×Dic73C2414yes—
613C4×Dic73C2418yes—
614C4×Dic73C2414yes—
615C4×Dic73C2418yes—
616C24×C73C2411yescharacteristic
617C24×C73C2414yes—
618#41×C73—216no—
619#41×C73—48no—
620#41×C73—48no—
621#41×C73—48no—
622C2×Q8×C73—44no—
623C2×Q8×C73C2414yes—
624C2×Q8×C73C2414yes—
625C2×D4×C73—44no—
626C2×D4×C73—44no—
627C2×D4×C73—44no—
628C2×D4×C73—48no—
629C2×D4×C73C2414yes—
630C2×D4×C73C2418yes—
631C2×D4×C73C2414yes—
632C2×D4×C73C2414yes—
633C2×D4×C73C2414yes—
634C2×D4×C73C2414yes—
635C2×D4×C73C2418yes—
636C2×D4×C73C2414yes—
637C22×C4×C73—24no—
638C22×C4×C73—42no—
639C22×C4×C73—48no—
640C22×C4×C73—42no—
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646C22×C4×C73C2411yescharacteristic
647C22×C4×C73C2411yescharacteristic
648C22×C4×C73C2411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650C22×C4×C73C2411yescharacteristic
651C22×C4×C73C2418yes—
652C22×C4×C73C2411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2414yes—
660C22×C4×C73C2418yes—
661C22×C4×C73C2411yescharacteristic
662C4⋊C4×C73C2414yes—
663C4⋊C4×C73C2414yes—
664C4⋊C4×C73C2414yes—
665C4⋊C4×C73C2414yes—
666C22⋊C4×C73C2418yes—
667C22⋊C4×C73C2418yes—
668C22⋊C4×C73C2418yes—
669C22⋊C4×C73C2418yes—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C42×C73C2411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C42×C73C2411yescharacteristic
676C42×C73C2411yescharacteristic
677C42×C73C2411yescharacteristic
678C42×C73C2411yescharacteristic
679C42×C73C2411yescharacteristic
680C42×C73C2411yescharacteristic
681C42×C73C2411yescharacteristic
682C42×C73C2411yescharacteristic
683C42×C73C2411yescharacteristic
684C42×C73C2411yescharacteristic
685C42×C73C2411yescharacteristic
686C23×C73—22no—
687C23×C73—22no—
688C23×C73—28no—
689C23×C73—41no—
690C23×C73—44no—
691C23×C73—44no—
692C23×C73C2518yes—
693C23×C73C2511yescharacteristic
694C23×C73C2511yescharacteristic
695C23×C73C2511yescharacteristic
696C22×D73—24no—
697C22×D73—48no—
698C22×D73—48no—
699C22×D73—48no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73C2514yes—
703C22×D73C2514yes—
704Q8×C73—28no—
705Q8×C73—44no—
706D4×C73—216no—
707D4×C73—28no—
708D4×C73—28no—
709D4×C73—44no—
710D4×C73—44no—
711D4×C73—44no—
712D4×C73—48no—
713D4×C73—44no—
714C2×C4×C73—22no—
715C2×C4×C73—22no—
716C2×C4×C73—22no—
717C2×C4×C73—22no—
718C2×C4×C73—22no—
719C2×C4×C73—22no—
720C2×C4×C73—22no—
721C2×C4×C73—216no—
722C2×C4×C73—22no—
723C2×C4×C73—22no—
724C2×C4×C73—22no—
725C2×C4×C73—41no—
726C2×C4×C73—41no—
727C2×C4×C73—41no—
728C2×C4×C73—41no—
729C2×C4×C73—41no—
730C2×C4×C73—41no—
731C2×C4×C73—41no—
732C2×C4×C73—44no—
733C2×C4×C73—48no—
734C2×C4×C73H(5,𝔽2)14yes—
735C2×C4×C73C2511yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C2×C4×C73C2511yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C2×C4×C73C2511yescharacteristic
744C2×C4×C73C2518yes—
745C2×C4×C73C2511yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C2×C4×C73C2511yescharacteristic
748C22⋊D73—28no—
749C22⋊D73—28no—
750C22⋊D73—28no—
751C22⋊D73—48no—
752C22⋊D73—48no—
753C22⋊D73—48no—
754C22⋊D73—48no—
755C22⋊D73—48no—
756C22⋊D73—44no—
757C22⋊D73—48no—
758C22⋊D73—44no—
759C2×Dic73—24no—
760C2×Dic73—48no—
761C2×Dic73—48no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—48no—
765C2×Dic73C2514yes—
766C2×Dic73C2514yes—
767C2×Dic73C2514yes—
768C2×Dic73C2514yes—
769C2×Dic73C2514yes—
770C2×Dic73C2514yes—
771D292—24no—
772D292—24no—
773D292—48no—
774D292—42no—
775D292—42no—
776D292—42no—
777C4×D73—28no—
778C4×D73—28no—
779C4×D73—28no—
780C4×D73—28no—
781C4×D73—48no—
782C4×D73—48no—
783C4×D73—44no—
784Dic146—24no—
785Dic146—24no—
786Dic146—48no—
787Dic146—42no—
788Dic146—42no—
789Dic146—42no—
790C22×C73—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—28no—
795C22×C73—21no—
796C22×C73—28no—
797C22×C73—28no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—44no—
801C22×C73—88no—
802C22×C73C2×H(5,𝔽2)12yes—
803C22×C73#58512yes—
804C22×C73C2611yescharacteristic
805C2×D73—24no—
806C2×D73—24no—
807C2×D73—24no—
808C2×D73—24no—
809C2×D73—24no—
810C2×D73—24no—
811C2×D73—84no—
812C2×D73—816no—
813C4×C73—28no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—21no—
818C4×C73—21no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73C2×H(5,𝔽2)12yes—
824C4×C73C2×H(5,𝔽2)12yes—
825C4×C73#58512yes—
826Dic73—24no—
827Dic73—24no—
828Dic73—24no—
829Dic73—24no—
830Dic73—24no—
831Dic73—24no—
832#62748—731nomaximal, Sylow
833C2×C73—22no—
834C2×C73—22no—
835C2×C73—48no—
836C2×C73—41no—
837C2×C73C22×H(5,𝔽2)11yescharacteristic
838C2×C73C2×#58511yescharacteristic
839C2×C73C2×#58511yescharacteristic
840D73—44no—
841D73—44no—
842#3562—734no—
843#3561—732no—
844#3560—734no—
845#3559—732no—
846#3558—732no—
847#3558—732no—
848#3554—732no—
849#3552—732no—
850#3546—732no—
851#3543—732no—
852#3537—732no—
853#3536—732no—
854#3534—734no—
855#3529—734no—
856#3481—734no—
857#3480—732no—
858D4×#41—734no—
859D4×#41—732no—
860#3460—734no—
861#3459—734no—
862#3455—732no—
863#3449—732no—
864#3444—731no—
865C2×#532D7311yescharacteristic, complemented
866C2×#529—731no—
867C73#6274811yescharacteristic, complemented, Sylow
868C22×#41—734no—
869C22×#41C2×D7312yescomplemented
870#563—738no—
871#563—734no—
872#562—734no—
873#562—734no—
874#562—738no—
875#562—738no—
876H(3,𝔽4)—734no—
877#560—738no—
878#560—738no—
879#560—738no—
880#559—732no—
881#559—734no—
882#559—734no—
883#557—732no—
884#556—732no—
885#556—734no—
886#554—734no—
887#554—734no—
888#553—738no—
889#553—734no—
890#553—738no—
891#553—734no—
892#553—734no—
893#551—738no—
894#551—738no—
895#550—734no—
896#550—732no—
897#550—732no—
898D4×Q8—734no—
899D4×Q8—732no—
900#548—734no—
901#548—734no—
902#548—734no—
903#548—734no—
904#547—734no—
905#547—738no—
906#547—732no—
907#547—734no—
908#546—734no—
909#546—738no—
910#546—738no—
911#546—734no—
912#546—734no—
913#546—734no—
914#546—738no—
915#546—734no—
916#546—738no—
917D42—738no—
918D42—734no—
919D42—734no—
920D42—732no—
921D42—734no—
922#544—734no—
923#543—734no—
924#542—734no—
925#542—738no—
926#542—734no—
927#542—734no—
928#542—734no—
929#541—734no—
930#540—734no—
931#540—734no—
932#540—738no—
933#540—734no—
934#539—734no—
935#539—734no—
936#539—738no—
937#539—738no—
938#539—738no—
939#538—738no—
940#538—738no—
941#538—734no—
942#538—734no—
943#538—738no—
944#538—738no—
945#538—734no—
946#538—734no—
947#537—734no—
948#537—734no—
949#537—734no—
950#536—734no—
951#536—734no—
952#535—734no—
953#535—734no—
954#535—734no—
955#535—734no—
956#534—738no—
957#534—734no—
958#534—734no—
959#534—734no—
960#533—731no—
961#533—731no—
962#533—731no—
963#532—734no—
964#532—738no—
965#532—734no—
966#532—731no—
967#532—731no—
968#532—731no—
969#532C2×D7312yescomplemented
970#532C2×D7312yescomplemented
971#532C2×D7312yescomplemented
972#532C2×D7312yescomplemented
973#532C2×D7312yescomplemented
974#532C2×D7312yescomplemented
975#532C2×D7312yescomplemented
976#532C2×D7312yescomplemented
977C2×C4⋊Q8C2×D7311yescharacteristic, complemented
978C2×#127C2×D7311yescharacteristic, complemented
979#529—738no—
980#529—738no—
981#529—738no—
982#529—734no—
983#529—732no—
984#529—732no—
985#529—732no—
986#529—732no—
987#529—732no—
988#529—732no—
989#529—732no—
990#529—732no—
991#529—732no—
992#529—732no—
993#529—732no—
994#529—732no—
995#529—732no—
996#529—732no—
997C2×#126—732no—
998C2×#125—731no—
999C2×#124—731no—
1000C2×#124C2×D7312yescomplemented
1001#525—734no—
1002#525—738no—
1003#525—732no—
1004#525—732no—
1005#525—732no—
1006#525—738no—
1007#525—738no—
1008#525—738no—
1009#525—738no—
1010C2×#123—732no—
1011C2×C22⋊Q8—731no—
1012C2×#121—731no—
1013C2×#121C2×D7312yescomplemented
1014C2×#121C2×D7312yescomplemented
1015C4×#41—734no—
1016C4×#41—734no—
1017C4×#41—732no—
1018C4×#41—732no—
1019C4×#41—732no—
1020C2×C4×Q8—731no—
1021C2×C4×D4—732no—
1022C2×C4×D4—738no—
1023C2×C4×D4—734no—
1024C2×C4×D4—731no—
1025C2×C4×D4C2×D7312yescomplemented
1026C2×C4×D4C2×D7312yescomplemented
1027C2×#117—732no—
1028C22×C42C2×D7311yescharacteristic, complemented
1029C2×#41—48no—
1030C2×#41—29216no—
1031C2×#41—734no—
1032C2×#41—734no—
1033C2×#41—734no—
1034C2×#41—738no—
1035C2×#41—732no—
1036C2×#41—732no—
1037C2×#41—738no—
1038C2×#41—732no—
1039C2×#41C22×D7314yes—
1040C2×#41C22×D7314yes—
1041C2×#41C22×D7314yes—
1042C2×#41C22×D7314yes—
1043C22×Q8—734no—
1044C22×Q8—731no—
1045C22×Q8C22×D7312yes—
1046C22×D4—732no—
1047C22×D4—738no—
1048C22×D4—734no—
1049C22×D4—738no—
1050C22×D4—734no—
1051C22×D4—731no—
1052C22×D4C22×D7312yes—
1053C22×D4C22×D7312yes—
1054C22×D4C22×D7314yes—
1055C22×D4C22×D7312yes—
1056C23×C4—738no—
1057C23×C4—732no—
1058C23×C4C22×D7311yescharacteristic
1059C23×C4C22×D7314yes—
1060C23×C4C22×D7311yescharacteristic
1061C23×C4C22×D7311yescharacteristic
1062C4⋊Q8—734no—
1063C4⋊Q8—738no—
1064C4⋊Q8—734no—
1065C4⋊Q8—731no—
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8C22×D7312yes—
1069C4⋊Q8C22×D7312yes—
1070C4⋊Q8C22×D7312yes—
1071C4⋊Q8C22×D7312yes—
1072#127—734no—
1073#127—734no—
1074#127—738no—
1075#127—731no—
1076#127C22×D7312yes—
1077#127C22×D7312yes—
1078#127C22×D7312yes—
1079#127C22×D7312yes—
1080#126—738no—
1081#126—738no—
1082#126—738no—
1083#126—738no—
1084#126—738no—
1085#126—738no—
1086#126—738no—
1087#126—734no—
1088#126—734no—
1089#126—734no—
1090#126—734no—
1091#126—734no—
1092#126—734no—
1093#125—738no—
1094#125—738no—
1095#125—738no—
1096#125—734no—
1097#125—732no—
1098#125—732no—
1099#125—732no—
1100#125—732no—
1101#125—732no—
1102#125—732no—
1103#125—732no—
1104#124—734no—
1105#124—738no—
1106#124—734no—
1107#124—734no—
1108#124—738no—
1109#124—738no—
1110#124—738no—
1111#124—738no—
1112#124—738no—
1113#124—732no—
1114#124—732no—
1115#124—732no—
1116#124—732no—
1117#124—732no—
1118#124—732no—
1119#124—732no—
1120#124C22×D7314yes—
1121#124C22×D7314yes—
1122#124C22×D7314yes—
1123#124C22×D7314yes—
1124#123—738no—
1125#123—738no—
1126#123—738no—
1127#123—738no—
1128#123—738no—
1129#123—738no—
1130#123—734no—
1131#123—734no—
1132#123—734no—
1133#123—734no—
1134#123—734no—
1135#123—734no—
1136#123—734no—
1137#123—738no—
1138#123—738no—
1139#123—738no—
1140#123—738no—
1141#123—738no—
1142#123—738no—
1143#123—738no—
1144#123—738no—
1145#123—738no—
1146#123—738no—
1147#123—738no—
1148#123—738no—
1149C22⋊Q8—738no—
1150C22⋊Q8—734no—
1151C22⋊Q8—734no—
1152C22⋊Q8—738no—
1153C22⋊Q8—732no—
1154C22⋊Q8—732no—
1155C22⋊Q8—732no—
1156C22⋊Q8—732no—
1157C22⋊Q8—732no—
1158C22⋊Q8—732no—
1159C22⋊Q8—732no—
1160C22⋊Q8—732no—
1161C22⋊Q8—732no—
1162C22⋊Q8—732no—
1163C22⋊Q8—738no—
1164C22⋊Q8—738no—
1165C22⋊Q8—738no—
1166C22⋊Q8—738no—
1167C22⋊Q8—738no—
1168C22⋊Q8—734no—
1169C22⋊Q8—738no—
1170C22⋊Q8—738no—
1171C22⋊Q8—738no—
1172C22⋊Q8—738no—
1173C22⋊Q8—738no—
1174C22⋊Q8—738no—
1175#121—738no—
1176#121—738no—
1177#121—738no—
1178#121—738no—
1179#121—738no—
1180#121—734no—
1181#121—734no—
1182#121—738no—
1183#121—738no—
1184#121—734no—
1185#121—738no—
1186#121—738no—
1187#121—738no—
1188#121—738no—
1189#121—734no—
1190#121—738no—
1191#121—738no—
1192#121—738no—
1193#121—732no—
1194#121—732no—
1195#121—732no—
1196#121—732no—
1197#121—732no—
1198#121—732no—
1199#121—732no—
1200#121—732no—
1201#121—732no—
1202#121—732no—
1203#121—738no—
1204#121—738no—
1205#121—734no—
1206#121—738no—
1207#121—738no—
1208#121—738no—
1209#121—738no—
1210#121C22×D7314yes—
1211#121C22×D7314yes—
1212#121C22×D7314yes—
1213#121C22×D7314yes—
1214#121C22×D7314yes—
1215#121C22×D7314yes—
1216#121C22×D7314yes—
1217#121C22×D7314yes—
1218#120—734no—
1219#120—738no—
1220#120—738no—
1221#120—738no—
1222#120—738no—
1223#120—738no—
1224#120—738no—
1225#120—738no—
1226#120—738no—
1227#120—738no—
1228#120—738no—
1229#120—738no—
1230C4×Q8—734no—
1231C4×Q8—734no—
1232C4×Q8—734no—
1233C4×Q8—732no—
1234C4×Q8—732no—
1235C4×Q8—732no—
1236C4×Q8—732no—
1237C4×Q8—732no—
1238C4×Q8—732no—
1239C4×Q8—732no—
1240C4×Q8—732no—
1241C4×Q8—732no—
1242C4×Q8—732no—
1243C4×D4—734no—
1244C4×D4—738no—
1245C4×D4—738no—
1246C4×D4—734no—
1247C4×D4—734no—
1248C4×D4—734no—
1249C4×D4—734no—
1250C4×D4—734no—
1251C4×D4—738no—
1252C4×D4—738no—
1253C4×D4—738no—
1254C4×D4—734no—
1255C4×D4—734no—
1256C4×D4—734no—
1257C4×D4—738no—
1258C4×D4—738no—
1259C4×D4—738no—
1260C4×D4—738no—
1261C4×D4—738no—
1262C4×D4—734no—
1263C4×D4—734no—
1264C4×D4—734no—
1265C4×D4—734no—
1266C4×D4—734no—
1267C4×D4—734no—
1268C4×D4—738no—
1269C4×D4—738no—
1270C4×D4—732no—
1271C4×D4—732no—
1272C4×D4—732no—
1273C4×D4—732no—
1274C4×D4—732no—
1275C4×D4—732no—
1276C4×D4—732no—
1277C4×D4—732no—
1278C4×D4—732no—
1279C4×D4—732no—
1280C4×D4C22×D7314yes—
1281C4×D4C22×D7314yes—
1282C4×D4C22×D7314yes—
1283C4×D4C22×D7314yes—
1284C4×D4C22×D7314yes—
1285C4×D4C22×D7314yes—
1286C4×D4C22×D7314yes—
1287C4×D4C22×D7314yes—
1288#117—732no—
1289#117—738no—
1290#117—732no—
1291#117—732no—
1292#117—734no—
1293#117—738no—
1294#117—734no—
1295#117—734no—
1296#117—734no—
1297#117—734no—
1298#117—734no—
1299#117—734no—
1300#117—734no—
1301C2×C4⋊C4—732no—
1302C2×C4⋊C4—732no—
1303C2×C4⋊C4—731no—
1304C2×C4⋊C4—732no—
1305C2×C4⋊C4—738no—
1306C2×C4⋊C4—731no—
1307C2×C4⋊C4—732no—
1308C2×C4⋊C4—734no—
1309C2×C4⋊C4C22×D7312yes—
1310C2×C4⋊C4C22×D7312yes—
1311C2×C22⋊C4—732no—
1312C2×C22⋊C4—738no—
1313C2×C22⋊C4—732no—
1314C2×C22⋊C4—732no—
1315C2×C22⋊C4—732no—
1316C2×C22⋊C4—732no—
1317C2×C22⋊C4—738no—
1318C2×C22⋊C4—738no—
1319C2×C22⋊C4C22×D7314yes—
1320C2×C22⋊C4C22×D7314yes—
1321C2×C42—732no—
1322C2×C42—738no—
1323C2×C42—734no—
1324C2×C42C22×D7311yescharacteristic
1325C2×C42C22×D7311yescharacteristic
1326C2×C42C22×D7311yescharacteristic
1327C2×C42C22×D7311yescharacteristic
1328C2×C42C22×D7311yescharacteristic
1329C2×C42C22×D7311yescharacteristic
1330C2×C42C22×D7311yescharacteristic
1331C2×C42C22×D7311yescharacteristic
1332C2×C42C22×D7311yescharacteristic
1333C2×C42C22×D7311yescharacteristic
1334C2×C42C22×D7311yescharacteristic
1335C2×C42C22×D7311yescharacteristic
1336C24—738no—
1337C24—732no—
1338C24C23×D7311yescharacteristic
1339C24C23×D7314yes—
1340#41—216no—
1341#41—48no—
1342#41—48no—
1343#41—48no—
1344#41—2924no—
1345#41—29216no—
1346#41—2924no—
1347#41—2928no—
1348#41—2928no—
1349#41—29216no—
1350#41—2928no—
1351#41—1468no—
1352C2×Q8—44no—
1353C2×Q8—2922no—
1354C2×Q8—2928no—
1355C2×Q8—732no—
1356C2×Q8—732no—
1357C2×Q8—732no—
1358C2×Q8—738no—
1359C2×Q8—732no—
1360C2×Q8—732no—
1361C2×Q8C23×D7314yes—
1362C2×Q8C23×D7314yes—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—48no—
1367C2×D4—2922no—
1368C2×D4—29216no—
1369C2×D4—2924no—
1370C2×D4—29216no—
1371C2×D4—2928no—
1372C2×D4—2928no—
1373C2×D4—738no—
1374C2×D4—738no—
1375C2×D4—738no—
1376C2×D4—734no—
1377C2×D4—734no—
1378C2×D4—738no—
1379C2×D4—738no—
1380C2×D4—738no—
1381C2×D4—734no—
1382C2×D4—734no—
1383C2×D4—734no—
1384C2×D4—732no—
1385C2×D4—732no—
1386C2×D4—732no—
1387C2×D4—738no—
1388C2×D4—732no—
1389C2×D4—732no—
1390C2×D4C23×D7314yes—
1391C2×D4C23×D7318yes—
1392C2×D4C23×D7314yes—
1393C2×D4C23×D7314yes—
1394C2×D4C23×D7314yes—
1395C2×D4C23×D7314yes—
1396C2×D4C23×D7314yes—
1397C2×D4C23×D7318yes—
1398C22×C4—24no—
1399C22×C4—42no—
1400C22×C4—48no—
1401C22×C4—42no—
1402C22×C4—29216no—
1403C22×C4—732no—
1404C22×C4—738no—
1405C22×C4—732no—
1406C22×C4—738no—
1407C22×C4—738no—
1408C22×C4—734no—
1409C22×C4—738no—
1410C22×C4—738no—
1411C22×C4—732no—
1412C22×C4—734no—
1413C22×C4—734no—
1414C22×C4—734no—
1415C22×C4—734no—
1416C22×C4—1468no—
1417C22×C4C23×D7311yescharacteristic
1418C22×C4C23×D7311yescharacteristic
1419C22×C4C23×D7311yescharacteristic
1420C22×C4C23×D7311yescharacteristic
1421C22×C4C23×D7311yescharacteristic
1422C22×C4C23×D7311yescharacteristic
1423C22×C4C23×D7311yescharacteristic
1424C22×C4C23×D7311yescharacteristic
1425C22×C4C23×D7318yes—
1426C22×C4C23×D7311yescharacteristic
1427C22×C4C23×D7311yescharacteristic
1428C22×C4C23×D7311yescharacteristic
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432C22×C4C23×D7311yescharacteristic
1433C22×C4C23×D7311yescharacteristic
1434C22×C4C23×D7311yescharacteristic
1435C22×C4C23×D7318yes—
1436C22×C4C23×D7314yes—
1437C22×C4C23×D7311yescharacteristic
1438C4⋊C4—734no—
1439C4⋊C4—734no—
1440C4⋊C4—734no—
1441C4⋊C4—734no—
1442C4⋊C4—734no—
1443C4⋊C4—734no—
1444C4⋊C4—734no—
1445C4⋊C4—738no—
1446C4⋊C4—734no—
1447C4⋊C4—738no—
1448C4⋊C4—738no—
1449C4⋊C4—734no—
1450C4⋊C4—734no—
1451C4⋊C4—734no—
1452C4⋊C4—734no—
1453C4⋊C4—734no—
1454C4⋊C4—734no—
1455C4⋊C4—738no—
1456C4⋊C4—732no—
1457C4⋊C4—732no—
1458C4⋊C4—732no—
1459C4⋊C4—732no—
1460C4⋊C4—732no—
1461C4⋊C4—732no—
1462C4⋊C4—738no—
1463C4⋊C4—738no—
1464C4⋊C4—732no—
1465C4⋊C4—732no—
1466C4⋊C4—732no—
1467C4⋊C4—732no—
1468C4⋊C4C23×D7314yes—
1469C4⋊C4C23×D7314yes—
1470C4⋊C4C23×D7314yes—
1471C4⋊C4C23×D7314yes—
1472C22⋊C4—734no—
1473C22⋊C4—734no—
1474C22⋊C4—738no—
1475C22⋊C4—738no—
1476C22⋊C4—738no—
1477C22⋊C4—734no—
1478C22⋊C4—734no—
1479C22⋊C4—738no—
1480C22⋊C4—738no—
1481C22⋊C4—738no—
1482C22⋊C4—734no—
1483C22⋊C4—734no—
1484C22⋊C4—734no—
1485C22⋊C4—734no—
1486C22⋊C4—734no—
1487C22⋊C4—734no—
1488C22⋊C4—734no—
1489C22⋊C4—734no—
1490C22⋊C4—734no—
1491C22⋊C4—738no—
1492C22⋊C4—738no—
1493C22⋊C4—734no—
1494C22⋊C4—738no—
1495C22⋊C4—738no—
1496C22⋊C4—734no—
1497C22⋊C4—734no—
1498C22⋊C4—734no—
1499C22⋊C4—734no—
1500C22⋊C4—734no—
1501C22⋊C4C23×D7318yes—
1502C22⋊C4C23×D7318yes—
1503C22⋊C4C23×D7318yes—
1504C22⋊C4C23×D7318yes—
1505C42—734no—
1506C42—734no—
1507C42—734no—
1508C42—738no—
1509C42—738no—
1510C42—734no—
1511C42—734no—
1512C42C23×D7311yescharacteristic
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C42C23×D7311yescharacteristic
1517C42C23×D7311yescharacteristic
1518C42C23×D7311yescharacteristic
1519C42C23×D7311yescharacteristic
1520C42C23×D7311yescharacteristic
1521C42C23×D7311yescharacteristic
1522C42C23×D7311yescharacteristic
1523C42C23×D7311yescharacteristic
1524C42C23×D7311yescharacteristic
1525C42C23×D7311yescharacteristic
1526C42C23×D7311yescharacteristic
1527C42C23×D7311yescharacteristic
1528C23—22no—
1529C23—22no—
1530C23—28no—
1531C23—41no—
1532C23—44no—
1533C23—44no—
1534C23—2928no—
1535C23—2922no—
1536C23—2922no—
1537C23—2928no—
1538C23—2928no—
1539C23—734no—
1540C23—734no—
1541C23—1464no—
1542C23C24×D7311yescharacteristic
1543C23C24×D7318yes—
1544C23C24×D7311yescharacteristic
1545C23C24×D7311yescharacteristic
1546Q8—28no—
1547Q8—44no—
1548Q8—2928no—
1549Q8—2922no—
1550Q8—2922no—
1551Q8—2922no—
1552Q8—1464no—
1553Q8—1464no—
1554D4—216no—
1555D4—28no—
1556D4—28no—
1557D4—44no—
1558D4—48no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—2928no—
1563D4—2922no—
1564D4—2922no—
1565D4—2922no—
1566D4—2928no—
1567D4—2928no—
1568D4—2924no—
1569D4—2928no—
1570D4—2928no—
1571D4—2928no—
1572D4—2928no—
1573D4—2924no—
1574D4—1468no—
1575D4—1468no—
1576D4—1468no—
1577D4—1464no—
1578D4—1464no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—216no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—2928no—
1600C2×C4—2928no—
1601C2×C4—2924no—
1602C2×C4—2928no—
1603C2×C4—2922no—
1604C2×C4—2928no—
1605C2×C4—2922no—
1606C2×C4—2928no—
1607C2×C4—734no—
1608C2×C4—734no—
1609C2×C4—734no—
1610C2×C4—734no—
1611C2×C4—734no—
1612C2×C4—734no—
1613C2×C4—1464no—
1614C2×C4—1468no—
1615C2×C4—1468no—
1616C2×C4—1468no—
1617C2×C4—1468no—
1618C2×C4#1455663614yes—
1619C2×C4C24×D7311yescharacteristic
1620C2×C4C24×D7318yes—
1621C2×C4C24×D7311yescharacteristic
1622C2×C4C24×D7311yescharacteristic
1623C2×C4C24×D7311yescharacteristic
1624C2×C4C24×D7311yescharacteristic
1625C2×C4C24×D7311yescharacteristic
1626C2×C4C24×D7311yescharacteristic
1627C2×C4C24×D7311yescharacteristic
1628C2×C4C24×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C2×C4C24×D7311yescharacteristic
1631C2×C4C24×D7311yescharacteristic
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—28no—
1638C22—21no—
1639C22—21no—
1640C22—28no—
1641C22—28no—
1642C22—44no—
1643C22—88no—
1644C22—5844no—
1645C22—58416no—
1646C22—1464no—
1647C22—1464no—
1648C22—1464no—
1649C22—1464no—
1650C22—1464no—
1651C22—1464no—
1652C22C2×#1455663612yes—
1653C22#1798942312yes—
1654C22C25×D7311yescharacteristic
1655C4—21no—
1656C4—21no—
1657C4—28no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—1464no—
1666C4—1464no—
1667C4—1464no—
1668C4—1464no—
1669C4—1464no—
1670C4—1464no—
1671C4C2×#1455663612yes—
1672C4C2×#1455663612yes—
1673C4#1798942312yes—
1674C2—22no—
1675C2—22no—
1676C2—41no—
1677C2—48no—
1678C2—2924no—
1679C2—2924no—
1680C2C22×#1455663611yescharacteristic
1681C2C2×#1798942311yescharacteristic
1682C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#532×C73C2
hypercenterC2×#532D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×#532

Complements

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

NH ≅ G/Ntype
1. #22624523C2semidirect
2. #22624503C2semidirect
3. #22624487C2semidirect
4. #22624469C2semidirect
5. #22624454C2semidirect
6. #22624450C2semidirect
7. #22624396C2semidirect
8. #22624372C2semidirect
9. #22624297C2semidirect
10. #22624264C2semidirect
11. #22624166C2semidirect
12. #22624153C2semidirect
13. #22624121C2semidirect
14. #22624067C2semidirect
15. #22623535C2semidirect
16. #22623528C2semidirect
17. #22623417C2semidirect
18. #41×C22⋊D73C2semidirect
19. #22623345C2semidirect
20. #22623340C2semidirect
21. #22623320C2semidirect
22. #22623258C2semidirect
23. #22623227C2semidirect
24. C2×#17989121C2semidirect
25. C2×#532×C73C2semidirect
26. C2×#41×D73C22semidirect
27. #17989337C22semidirect
28. #17989336C22semidirect
29. #17989332C22semidirect
30. #17989332C22semidirect
31. #17989331C22semidirect
32. #17989331C22semidirect
33. #17989329C22semidirect
34. #17989325C22semidirect
35. #17989325C22semidirect
36. #17989324C22semidirect
37. #17989323C22semidirect
38. #17989320C22semidirect
39. #17989319C22semidirect
40. #17989312C22semidirect
41. #17989311C22semidirect
42. #17989306C22semidirect
43. #17989296C22semidirect
44. #17989292C22semidirect
45. #17989289C22semidirect
46. #17989287C22semidirect
47. #17989286C22semidirect
48. #17989285C22semidirect
49. #17989280C22semidirect
50. #17989266C22semidirect
51. #17989263C22semidirect
52. #17989257C22semidirect
53. #17989257C22semidirect
54. #17989256C22semidirect
55. #17989252C22semidirect
56. Q8×C22⋊D73C22semidirect
57. #17989248C22semidirect
58. #17989245C22semidirect
59. #17989244C22semidirect
60. #17989243C22semidirect
61. #17989240C22semidirect
62. #17989237C22semidirect
63. #17989236C22semidirect
64. #17989236C22semidirect
65. #17989232C22semidirect
66. #17989231C22semidirect
67. #17989231C22semidirect
68. #17989231C22semidirect
69. #17989230C22semidirect
70. #17989227C22semidirect
71. #17989226C22semidirect
72. #17989225C22semidirect
73. #17989225C22semidirect
74. #17989222C22semidirect
75. #17989221C22semidirect
76. D4×C22⋊D73C22semidirect
77. D4×C22⋊D73C22semidirect
78. D4×C22⋊D73C22semidirect
79. #17989214C22semidirect
80. #17989213C22semidirect
81. #17989211C22semidirect
82. #17989206C22semidirect
83. #17989206C22semidirect
84. #17989204C22semidirect
85. #17989201C22semidirect
86. #17989198C22semidirect
87. #17989191C22semidirect
88. #17989191C22semidirect
89. #17989190C22semidirect
90. #17989187C22semidirect
91. #17989184C22semidirect
92. #17989182C22semidirect
93. #17989182C22semidirect
94. #17989179C22semidirect
95. #17989179C22semidirect
96. #17989175C22semidirect
97. #17989175C22semidirect
98. #17989174C22semidirect
99. #17989174C22semidirect
100. #17989171C22semidirect
101. #17989170C22semidirect
102. #17989170C22semidirect
103. #17989169C22semidirect
104. #17989166C22semidirect
105. #17989164C22semidirect
106. #17989164C22semidirect
107. #17989162C22semidirect
108. #17989157C22semidirect
109. #17989155C22semidirect
110. #17989153C22semidirect
111. #17989150C22semidirect
112. #17989150C22semidirect
113. #17989149C22semidirect
114. #17989146C22semidirect
115. #17989145C22semidirect
116. #17989145C22semidirect
117. #17989144C22semidirect
118. #17989144C22semidirect
119. #17989144C22semidirect
120. #17989137C22semidirect
121. #17989137C22semidirect
122. #17989137C22semidirect
123. #17989134C22semidirect
124. #17989133C22semidirect
125. #17989133C22semidirect
126. #17989121C22semidirect
127. #17989121C22semidirect
128. #17989121C22semidirect
129. #17989121C22semidirect
130. #17989121C22semidirect
131. #17989121C22semidirect
132. #17989121C22semidirect
133. #17989121C22semidirect
134. #17989121C22semidirect
135. #17989121C22semidirect
136. #17989121C22semidirect
137. #17989121C22semidirect
138. #17989121C22semidirect
139. #17989121C22semidirect
140. #17989119C22semidirect
141. #17989117C22semidirect
142. #17989117C22semidirect
143. #17989117C22semidirect
144. C2×#14556585C22semidirect
145. C2×#14556583C22semidirect
146. C2×#14556579C22semidirect
147. #17989098C22semidirect
148. #17989098C22semidirect
149. #17989098C22semidirect
150. #17989098C22semidirect
151. #17989096C22semidirect
152. #17989096C22semidirect
153. #17989096C22semidirect
154. #17989094C22semidirect
155. #17989094C22semidirect
156. C2×#14556574C22semidirect
157. C2×#14556570C22semidirect
159. #41×Dic73C22semidirect
160. C4×#11924028C22semidirect
161. C4×#11924028C22semidirect
162. C4×#11924028C22semidirect
163. C4×#11924027C22semidirect
164. C2×C4×Dic146C22semidirect
165. C2×C4×D292C22semidirect
166. C2×C4×C22⋊D73C22semidirect
167. C2×C4×C22⋊D73C22semidirect
168. C4×D4×D73C22semidirect
169. C2×#14556548C22semidirect
170. C22×#41×C73C22semidirect
171. #532×C73C22semidirect
172. #532×C73C22semidirect
173. #532×C73C22semidirect
174. #532×C73C22semidirect
175. #532×C73C22semidirect
176. #532×C73C22semidirect
177. #532×C73C22semidirect
178. #532×C73C22semidirect
179. C2×C4⋊Q8×C73C22semidirect
180. C2×#127×C73C22semidirect
181. C2×#124×C73C22semidirect
182. C2×#121×C73C22semidirect
183. C2×#121×C73C22semidirect
184. C2×C4×D4×C73C22semidirect
185. C2×C4×D4×C73C22semidirect
186. C22×C42×C73C22semidirect
865. C2×#532D73semidirect
867. C73#62748semidirect
869. C22×#41C2×D73semidirect
969. #532C2×D73semidirect
970. #532C2×D73semidirect
971. #532C2×D73semidirect
972. #532C2×D73semidirect
973. #532C2×D73semidirect
974. #532C2×D73semidirect
975. #532C2×D73semidirect
976. #532C2×D73semidirect
977. C2×C4⋊Q8C2×D73semidirect
978. C2×#127C2×D73semidirect
1000. C2×#124C2×D73semidirect
1013. C2×#121C2×D73semidirect
1014. C2×#121C2×D73semidirect
1025. C2×C4×D4C2×D73semidirect
1026. C2×C4×D4C2×D73semidirect
1028. C22×C42C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245232
#226245032
#226244872
#226244692
#226244542
#226244502
#226243962
#226243722
#226242972
#226242642
#226241662
#226241532
#226241212
#226240672
#226235352
#226235282
#226234172
#41×C22⋊D732
#226233452
#226233402
#226233202
#226232582
#226232272
C2×#179891212
C2×#532×C732
#6274873