Finite Group Databasebeta

← #33993657

Subgroups — #33993657

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#22624511C214yesmaximal, complemented
2#22624496C212yesmaximal, complemented
3#22624477C214yesmaximal, complemented
4#22624462C212yesmaximal, complemented
5#22624454C212yesmaximal, complemented
6#22624447C212yesmaximal, complemented
7#22624402C212yesmaximal, complemented
8#22624368C212yesmaximal, complemented
9#22624303C212yesmaximal, complemented
10#22624261C212yesmaximal, complemented
11#22624170C212yesmaximal, complemented
12#22624158C212yesmaximal, complemented
13#22624115C214yesmaximal, complemented
14#22624070C214yesmaximal, complemented
15#22623541C214yesmaximal, complemented
16#22623524C212yesmaximal, complemented
17#41×D292C212yesmaximal, complemented
18#22623414C214yesmaximal, complemented
19#22623347C214yesmaximal, complemented
20#22623341C214yesmaximal, complemented
21#22623323C212yesmaximal, complemented
22#22623258C212yesmaximal, complemented
23C2×#17989137C211yesmaximal, characteristic, complemented
24C2×#17989121C211yesmaximal, characteristic, complemented
25C73×#3444C211yesmaximal, characteristic, complemented
26C22×#11924028C2212yescomplemented
27C2×#41×D73C2214yescomplemented
28#17989341C2214yescomplemented
29#17989339C2218yescomplemented
30#17989335C2214yescomplemented
31#17989334C2218yescomplemented
32#17989333C2218yescomplemented
33#17989331C2214yescomplemented
34#17989329C2214yescomplemented
35#17989328C2218yescomplemented
36#17989327C2218yescomplemented
37#17989325C2218yescomplemented
38#17989322C2212yescomplemented
39#17989322C2214yescomplemented
40#17989320C2214yescomplemented
41#17989315C2212yescomplemented
42#17989309C2214yescomplemented
43#17989307C2212yescomplemented
44#17989297C2214yescomplemented
45#17989294C2214yescomplemented
46#17989286C2218yescomplemented
47#17989283C2214yescomplemented
48#17989283C2214yescomplemented
49#17989283C2214yescomplemented
50#17989281C2218yescomplemented
51#17989261C2218yescomplemented
52#17989261C2218yescomplemented
53#17989259C2212yescomplemented
54#17989258C2212yescomplemented
55#17989255C2214yescomplemented
56Q8×D292C2212yescomplemented
57#17989250C2214yescomplemented
58#17989249C2214yescomplemented
59#17989247C2214yescomplemented
60#17989246C2214yescomplemented
61#17989243C2214yescomplemented
62#17989241C2212yescomplemented
63#17989241C2214yescomplemented
64#17989239C2214yescomplemented
65#17989235C2218yescomplemented
66#17989234C2214yescomplemented
67#17989233C2214yescomplemented
68#17989233C2214yescomplemented
69#17989232C2218yescomplemented
70#17989232C2214yescomplemented
71#17989229C2218yescomplemented
72#17989228C2214yescomplemented
73#17989225C2218yescomplemented
74#17989224C2218yescomplemented
75D4×D292C2212yescomplemented
76D4×D292C2214yescomplemented
77D4×D292C2214yescomplemented
78#17989221C2214yescomplemented
79#17989219C2218yescomplemented
80#17989215C2214yescomplemented
81#17989212C2214yescomplemented
82#17989211C2214yescomplemented
83#17989211C2214yescomplemented
84#17989209C2218yescomplemented
85#17989208C2214yescomplemented
86#17989208C2214yescomplemented
87#17989200C2214yescomplemented
88#17989193C2214yescomplemented
89#17989192C2214yescomplemented
90#17989192C2214yescomplemented
91#17989188C2218yescomplemented
92#17989186C2214yescomplemented
93#17989186C2214yescomplemented
94#17989185C2218yescomplemented
95#17989181C2218yescomplemented
96#17989178C2218yescomplemented
97#17989177C2214yescomplemented
98#17989177C2214yescomplemented
99#17989177C2214yescomplemented
100#17989176C2218yescomplemented
101#17989174C2214yescomplemented
102#17989171C2218yescomplemented
103#17989170C2218yescomplemented
104#17989170C2218yescomplemented
105#17989165C2214yescomplemented
106#17989164C2214yescomplemented
107#17989164C2214yescomplemented
108#17989162C2214yescomplemented
109#17989157C2214yescomplemented
110#17989156C2214yescomplemented
111#17989155C2214yescomplemented
112#17989151C2214yescomplemented
113#17989150C2214yescomplemented
114#17989148C2218yescomplemented
115#17989145C2214yescomplemented
116#17989145C2214yescomplemented
117#17989145C2214yescomplemented
118#17989137C2212yescomplemented
119#17989137C2212yescomplemented
120#17989137C2212yescomplemented
121#17989137C2214yescomplemented
122#17989137C2212yescomplemented
123#17989137C2212yescomplemented
124#17989137C2212yescomplemented
125#17989137C2212yescomplemented
126#17989137C2212yescomplemented
127#17989134C2218yescomplemented
128#17989133C2214yescomplemented
129C2×#14556591C2211yescharacteristic, complemented
130C2×#14556588C2211yescharacteristic, complemented
131#17989124C2218yescomplemented
132#17989124C2218yescomplemented
133#17989121C2212yescomplemented
134#17989121C2214yescomplemented
135#17989121C2212yescomplemented
136#17989121C2212yescomplemented
137#17989121C2212yescomplemented
138#17989121C2212yescomplemented
139#17989121C2212yescomplemented
140#17989121C2212yescomplemented
141#17989121C2212yescomplemented
142#17989115C2218yescomplemented
143C2×#14556585C2212yescomplemented
144C2×#14556583C2211yescharacteristic, complemented
145C2×#14556579C2211yescharacteristic, complemented
146C2×#14556579C2212yescomplemented
147#17989099C2218yescomplemented
148#17989099C2214yescomplemented
149#17989096C2218yescomplemented
150#17989096C2218yescomplemented
151#17989096C2218yescomplemented
152#17989096C2218yescomplemented
153C2×#14556574C2212yescomplemented
154C2×#14556570C2211yescharacteristic, complemented
155C2×#14556565C2211yescharacteristic
156C2×#14556565C2212yescomplemented
157C2×#14556565C2212yescomplemented
158C4×#11924028C2214yescomplemented
159#17989055C2214yescomplemented
160C2×C4×Dic146C2211yescharacteristic, complemented
161C2×C4×D292C2212yescomplemented
162C2×C4×D292C2214yescomplemented
163C2×C4×D292C2212yescomplemented
164C2×C4×D292C2211yescharacteristic, complemented
165C2×C4×C22⋊D73C2212yescomplemented
166C4×D4×D73C2218yescomplemented
167C2×#14556548C2212yescomplemented
168#533×C73C2211yescharacteristic, complemented
169#533×C73C2211yescharacteristic, complemented
170#533×C73C2211yescharacteristic, complemented
171#532×C73C2211yescharacteristic, complemented
172#532×C73C2211yescharacteristic, complemented
173#532×C73C2211yescharacteristic, complemented
174#529×C73C2212yescomplemented
175#529×C73C2212yescomplemented
176#529×C73C2212yescomplemented
177#529×C73C2212yescomplemented
178#529×C73C2212yescomplemented
179#529×C73C2212yescomplemented
180#525×C73C2212yescomplemented
181#525×C73C2212yescomplemented
182#525×C73C2212yescomplemented
183C4×#41×C73C2212yescomplemented
184C4×#41×C73C2212yescomplemented
185C4×#41×C73C2212yescomplemented
186C22×C42×C73C2211yescharacteristic, complemented
187C2×#11924029C2314yes—
188C2×#11924028—48no—
189C2×#11924028C2314yes—
190C2×#11924028C2314yes—
191C2×#11924028C2318yes—
192C2×#11924028C2314yes—
193C2×#11924028C2314yes—
194C2×#11924028C2314yes—
195C2×#11924027C2314yes—
196C2×#11924027C2318yes—
197#41×D73—416no—
198C22×Dic146C2312yes—
199C22×Dic146C2311yescharacteristic
200C2×Q8×D73C2314yes—
201C22×D292C2312yes—
202C22×D292C2312yes—
203C22×D292C2312yes—
204C22×D292C2314yes—
205C22×D292C2311yescharacteristic
206C22×C22⋊D73C2314yes—
207C22×C22⋊D73C2312yes—
208C2×D4×D73C2318yes—
209C2×D4×D73C2318yes—
210C2×D4×D73C2314yes—
211C22×C4×D73C2312yes—
212C22×C4×D73C2318yes—
213C22×C4×D73C2314yes—
214#14556591C2312yes—
215#14556591C2312yes—
216#14556591C2312yes—
217#14556591C2312yes—
218#14556591C2314yes—
219#14556590C2318yes—
220#14556589C2314yes—
221#14556588C2312yes—
222#14556588C2312yes—
223#14556588C2312yes—
224#14556588C2312yes—
225#14556588C2314yes—
226#14556587C2314yes—
227#14556587C2318yes—
228#14556586C2318yes—
229#14556586C2318yes—
230#14556586C2318yes—
231#14556586C2318yes—
232#14556586C2318yes—
233#14556585C2314yes—
234#14556585C2314yes—
235#14556585C2314yes—
236#14556585C2314yes—
237#14556585C2318yes—
238#14556584C2318yes—
239#14556583C2312yes—
240#14556583C2312yes—
241#14556583C2312yes—
242#14556583C2312yes—
243#14556583C2314yes—
244#14556582C2318yes—
245#14556582C2318yes—
246#14556581C2318yes—
247#14556580C2318yes—
248#14556580C2318yes—
249#14556580C2314yes—
250#14556579C2312yes—
251#14556579C2312yes—
252#14556579C2312yes—
253#14556579C2312yes—
254#14556579C2314yes—
255#14556579C2314yes—
256#14556579C2314yes—
257#14556579C2314yes—
258#14556579C2314yes—
259#14556579C2318yes—
260#14556578C2314yes—
261#14556577C2318yes—
262#14556577C2318yes—
263#14556577C2318yes—
264#14556576C2318yes—
265#14556576C2318yes—
266#14556576C2318yes—
267#14556576C2318yes—
268#14556576C2318yes—
269#14556576C2318yes—
270#14556576C2318yes—
271#14556576C2318yes—
272#14556576C2318yes—
273#14556575C2318yes—
274#14556575C2318yes—
275#14556575C2318yes—
276#14556574C2314yes—
277#14556574C2314yes—
278#14556574C2314yes—
279#14556574C2314yes—
280#14556574C2318yes—
281#14556573C2318yes—
282#14556573C2318yes—
283#14556573C2318yes—
284#14556573C2318yes—
285#14556573C2318yes—
286#14556571C2318yes—
287#14556571C2318yes—
288#14556571C2314yes—
289#14556571C2314yes—
290#14556570C2312yes—
291#14556570C2312yes—
292#14556570C2312yes—
293#14556570C2312yes—
294#14556570C2314yes—
295#14556569C2318yes—
296#14556569C2318yes—
297#14556569C2318yes—
298#14556569C2318yes—
299#14556569C2318yes—
300#14556568C2318yes—
301#14556568C2318yes—
302#14556568C2318yes—
303#14556568C2318yes—
304#14556567C2318yes—
305#14556567C2318yes—
306#14556566C2318yes—
307#14556566C2318yes—
308#14556566C2318yes—
309#14556566C2318yes—
310#14556566C2318yes—
311#14556566C2314yes—
312#14556566C2314yes—
313#14556565C2312yes—
314#14556565C2312yes—
315#14556565C2312yes—
316#14556565C2312yes—
317#14556565C2314yes—
318#14556565C2314yes—
319#14556565C2314yes—
320#14556565C2314yes—
321#14556565C2314yes—
322#14556565C2314yes—
323#14556565C2314yes—
324#14556565C2314yes—
325#14556565C2314yes—
326#14556565C2314yes—
327#14556565C2314yes—
328#14556565C2318yes—
329#14556564C2318yes—
330#14556564C2318yes—
331#14556564C2318yes—
332#14556564C2318yes—
333#14556564C2318yes—
334#14556564C2318yes—
335#14556564C2318yes—
336#14556563C2318yes—
337#14556563C2318yes—
338#14556563C2318yes—
339#14556563C2318yes—
340#14556563C2318yes—
341#14556563C2318yes—
342#14556562C2318yes—
343#14556561C2318yes—
344#14556561C2318yes—
345#14556561C2318yes—
346#14556561C2318yes—
347#14556561C2318yes—
348#14556561C2318yes—
349#14556561C2318yes—
350#14556559C2318yes—
351#14556559C2318yes—
352#14556559C2318yes—
353#14556559C2318yes—
354C4×Dic146C2312yes—
355C4×Dic146C2312yes—
356C4×Dic146C2312yes—
357C4×Dic146C2312yes—
358C4×Dic146C2314yes—
359#14556556C2314yes—
360#14556556C2314yes—
361C4×D292C2312yes—
362C4×D292C2312yes—
363C4×D292C2312yes—
364C4×D292C2312yes—
365C4×D292C2314yes—
366C4×D292C2318yes—
367C4×D292C2314yes—
368C4×D292C2314yes—
369C4×D292C2318yes—
370C4×D292C2314yes—
371C4×D292C2314yes—
372C4×D292C2314yes—
373C4×D292C2314yes—
374C4×D292C2314yes—
375C4×D292C2318yes—
376C4×D292C2314yes—
377C4×D292C2314yes—
378C4×D292C2314yes—
379D4×Dic73C2318yes—
380#14556553C2318yes—
381#14556553C2314yes—
382#14556553C2314yes—
383C4×C22⋊D73C2314yes—
384C4×C22⋊D73C2314yes—
385C4×C22⋊D73C2314yes—
386C4×C22⋊D73C2314yes—
387C4×C22⋊D73C2318yes—
388C4×C22⋊D73C2318yes—
389C4×C22⋊D73C2318yes—
390#14556551C2318yes—
391#14556551C2318yes—
392#14556551C2318yes—
393#14556551C2318yes—
394#14556550C2314yes—
395#14556548C2314yes—
396#14556548C2314yes—
397#14556548C2314yes—
398#14556548C2314yes—
399#14556548C2318yes—
400#14556548C2318yes—
401C2×C4⋊Dic73C2312yes—
402C2×C4⋊Dic73C2312yes—
403C2×C4⋊Dic73C2314yes—
404C2×C4⋊Dic73C2311yescharacteristic
405C2×C4⋊Dic73C2311yescharacteristic
406C2×#11924007C2312yes—
407C2×#11924007C2312yes—
408C2×#11924007C2312yes—
409C2×#11924007C2312yes—
410C4⋊C4×D73C2318yes—
411C2×C22⋊Dic73C2312yes—
412C2×#11924005C2312yes—
413C2×#11924005C2312yes—
414C2×#11924005C2314yes—
415C2×#11924005C2318yes—
416C2×#11924005C2314yes—
417C2×#11924005C2312yes—
418C2×#11924005C2312yes—
419C22⋊C4×D73C2318yes—
420C22⋊C4×D73C2318yes—
421C2×C4×Dic73C2312yes—
422C42×D73C2318yes—
423C2×#41×C73C2312yes—
424C2×#41×C73C2312yes—
425C2×#41×C73C2312yes—
426C23×C4×C73C2311yescharacteristic
427C23×C4×C73C2311yescharacteristic
428C23×C4×C73C2311yescharacteristic
429C4⋊Q8×C73C2311yescharacteristic
430C4⋊Q8×C73C2311yescharacteristic
431C4⋊Q8×C73C2311yescharacteristic
432#127×C73C2311yescharacteristic
433#126×C73C2314yes—
434#126×C73C2314yes—
435#125×C73C2312yes—
436#125×C73C2312yes—
437#125×C73C2312yes—
438#124×C73C2312yes—
439#124×C73C2312yes—
440#124×C73C2312yes—
441#123×C73C2314yes—
442#123×C73C2314yes—
443#123×C73C2314yes—
444C22⋊Q8×C73C2312yes—
445C22⋊Q8×C73C2312yes—
446C22⋊Q8×C73C2312yes—
447C22⋊Q8×C73C2312yes—
448C22⋊Q8×C73C2312yes—
449C22⋊Q8×C73C2312yes—
450#121×C73C2312yes—
451#121×C73C2312yes—
452#121×C73C2312yes—
453#121×C73C2312yes—
454#121×C73C2312yes—
455#121×C73C2312yes—
456#120×C73C2314yes—
457C4×Q8×C73C2312yes—
458C4×Q8×C73C2312yes—
459C4×Q8×C73C2312yes—
460C4×Q8×C73C2312yes—
461C4×Q8×C73C2312yes—
462C4×Q8×C73C2312yes—
463C4×D4×C73C2314yes—
464C4×D4×C73C2312yes—
465C4×D4×C73C2314yes—
466C4×D4×C73C2314yes—
467C4×D4×C73C2314yes—
468C4×D4×C73C2312yes—
469C4×D4×C73C2314yes—
470C4×D4×C73C2312yes—
471C4×D4×C73C2312yes—
472C4×D4×C73C2314yes—
473C4×D4×C73C2312yes—
474C4×D4×C73C2312yes—
475#117×C73C2314yes—
476#117×C73C2312yes—
477#117×C73C2312yes—
478#117×C73C2314yes—
479#117×C73C2312yes—
480#117×C73C2314yes—
481C2×C42×C73C2311yescharacteristic
482C2×C42×C73C2311yescharacteristic
483C2×C42×C73C2311yescharacteristic
484C2×C42×C73C2311yescharacteristic
485C2×C42×C73C2311yescharacteristic
486C2×C42×C73C2311yescharacteristic
487C2×C42×C73C2311yescharacteristic
488C2×C42×C73C2311yescharacteristic
489C2×C42×C73C2314yes—
490C2×C42×C73C2311yescharacteristic
491C2×C42×C73C2311yescharacteristic
492C2×C42×C73C2311yescharacteristic
493C2×C42×C73C2311yescharacteristic
494C23×D73C2414yes—
495C23×D73C2412yes—
496C23×D73C2418yes—
497#11924029—48no—
498#11924028—216no—
499#11924028—48no—
500#11924028—48no—
501#11924028—416no—
502#11924028—48no—
503#11924028—48no—
504#11924027—48no—
505#11924027—416no—
506C2×Dic146—42no—
507C2×Dic146—44no—
508C2×Dic146C2414yes—
509C2×Dic146C2412yes—
510C2×Dic146C2412yes—
511C2×Dic146C2418yes—
512C2×Dic146C2414yes—
513Q8×D73—48no—
514C2×D292—42no—
515C2×D292—48no—
516C2×D292—44no—
517C2×D292—44no—
518C2×D292—44no—
519C2×D292C2414yes—
520C2×D292C2412yes—
521C2×D292C2414yes—
522C2×D292C2418yes—
523C2×D292C2412yes—
524C2×D292C2418yes—
525C2×D292C2414yes—
526C2×D292C2414yes—
527C2×D292C2414yes—
528C2×D292C2418yes—
529C2×D292C2414yes—
530C2×C22⋊D73—44no—
531C2×C22⋊D73—48no—
532C2×C22⋊D73C2414yes—
533C2×C22⋊D73C2418yes—
534C2×C22⋊D73C2418yes—
535C2×C22⋊D73C2418yes—
536C2×C22⋊D73C2414yes—
537C2×C22⋊D73C2418yes—
538C2×C22⋊D73C2418yes—
539C2×C22⋊D73C2418yes—
540D4×D73—48no—
541D4×D73—416no—
542D4×D73—416no—
543C22×Dic73C2412yes—
544C22×Dic73C2412yes—
545C22×Dic73C2412yes—
546C22×Dic73C2414yes—
547C22×Dic73C2418yes—
548C2×C4×D73—28no—
549C2×C4×D73—416no—
550C2×C4×D73—48no—
551C2×C4×D73C2418yes—
552C2×C4×D73C2414yes—
553C2×C4×D73C2414yes—
554C2×C4×D73C2418yes—
555C2×C4×D73C2418yes—
556C2×C4×D73C2418yes—
557C2×C4×D73C2418yes—
558C2×C4×D73C2418yes—
559C4⋊Dic73C2418yes—
560C4⋊Dic73C2412yes—
561C4⋊Dic73C2414yes—
562C4⋊Dic73C2412yes—
563C4⋊Dic73C2418yes—
564C4⋊Dic73C2414yes—
565C4⋊Dic73C2414yes—
566C4⋊Dic73C2414yes—
567C4⋊Dic73C2412yes—
568C4⋊Dic73C2412yes—
569#11924007C2414yes—
570#11924007C2418yes—
571#11924007C2414yes—
572#11924007C2414yes—
573#11924007C2414yes—
574#11924007C2414yes—
575#11924007C2414yes—
576#11924007C2414yes—
577#11924007C2414yes—
578#11924007C2418yes—
579#11924007C2418yes—
580#11924007C2418yes—
581C22⋊Dic73C2414yes—
582C22⋊Dic73C2418yes—
583C22⋊Dic73C2414yes—
584C22⋊Dic73C2418yes—
585#11924005C2414yes—
586#11924005C2418yes—
587#11924005C2418yes—
588#11924005C2418yes—
589#11924005C2414yes—
590#11924005C2418yes—
591#11924005C2414yes—
592#11924005C2414yes—
593#11924005C2414yes—
594#11924005C2414yes—
595#11924005C2414yes—
596#11924005C2418yes—
597#11924005C2418yes—
598#11924005C2418yes—
599#11924005C2418yes—
600#11924005C2414yes—
601#11924005C2418yes—
602#11924005C2418yes—
603#11924005C2418yes—
604#11924005C2418yes—
605C4×Dic73C2414yes—
606C4×Dic73C2418yes—
607C4×Dic73C2418yes—
608C4×Dic73C2414yes—
609C24×C73C2411yescharacteristic
610#41×C73—28no—
611#41×C73—44no—
612#41×C73—44no—
613C2×Q8×C73C2412yes—
614C2×Q8×C73C2412yes—
615C2×Q8×C73C2412yes—
616C2×D4×C73C2414yes—
617C2×D4×C73C2414yes—
618C2×D4×C73C2412yes—
619C2×D4×C73C2414yes—
620C2×D4×C73C2412yes—
621C2×D4×C73C2412yes—
622C22×C4×C73—24no—
623C22×C4×C73—42no—
624C22×C4×C73—42no—
625C22×C4×C73C2411yescharacteristic
626C22×C4×C73C2411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C22×C4×C73C2411yescharacteristic
629C22×C4×C73C2411yescharacteristic
630C22×C4×C73C2411yescharacteristic
631C22×C4×C73C2411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C22×C4×C73C2411yescharacteristic
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2414yes—
636C22×C4×C73C2414yes—
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2414yes—
645C22×C4×C73C2411yescharacteristic
646C4⋊C4×C73C2412yes—
647C4⋊C4×C73C2412yes—
648C4⋊C4×C73C2412yes—
649C4⋊C4×C73C2412yes—
650C4⋊C4×C73C2412yes—
651C4⋊C4×C73C2412yes—
652C4⋊C4×C73C2414yes—
653C4⋊C4×C73C2414yes—
654C4⋊C4×C73C2414yes—
655C4⋊C4×C73C2414yes—
656C4⋊C4×C73C2414yes—
657C4⋊C4×C73C2414yes—
658C22⋊C4×C73C2414yes—
659C22⋊C4×C73C2414yes—
660C22⋊C4×C73C2414yes—
661C22⋊C4×C73C2414yes—
662C22⋊C4×C73C2414yes—
663C22⋊C4×C73C2414yes—
664C22⋊C4×C73C2414yes—
665C22⋊C4×C73C2414yes—
666C22⋊C4×C73C2414yes—
667C42×C73C2411yescharacteristic
668C42×C73C2411yescharacteristic
669C42×C73C2411yescharacteristic
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×C73C2414yes—
684C42×C73C2414yes—
685C42×C73C2414yes—
686C23×C73—22no—
687C23×C73—22no—
688C23×C73—41no—
689C23×C73C2514yes—
690C23×C73C2511yescharacteristic
691C23×C73C2511yescharacteristic
692C23×C73C2511yescharacteristic
693C22×D73—24no—
694C22×D73—28no—
695C22×D73—48no—
696C22×D73—44no—
697C22×D73—48no—
698C22×D73—42no—
699C22×D73—44no—
700C22×D73—48no—
701C22×D73—42no—
702C22×D73C2514yes—
703C22×D73C2518yes—
704Q8×C73—24no—
705Q8×C73—42no—
706Q8×C73—42no—
707D4×C73—28no—
708D4×C73—28no—
709D4×C73—24no—
710D4×C73—44no—
711D4×C73—42no—
712D4×C73—42no—
713C2×C4×C73—22no—
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—28no—
721C2×C4×C73—22no—
722C2×C4×C73—22no—
723C2×C4×C73—22no—
724C2×C4×C73—28no—
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×C73H(5,𝔽2)14yes—
734C2×C4×C73C2511yescharacteristic
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×C73C2514yes—
744C2×C4×C73C2514yes—
745C2×C4×C73C2514yes—
746C2×C4×C73C2511yescharacteristic
747C2×C4×C73C2511yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—216no—
750C22⋊D73—28no—
751C22⋊D73—48no—
752C22⋊D73—48no—
753C22⋊D73—48no—
754C22⋊D73—44no—
755C22⋊D73—48no—
756C22⋊D73—48no—
757C2×Dic73—24no—
758C2×Dic73—44no—
759C2×Dic73—48no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73C2514yes—
763C2×Dic73C2514yes—
764C2×Dic73C2518yes—
765C2×Dic73C2514yes—
766D292—28no—
767D292—24no—
768D292—28no—
769D292—48no—
770D292—48no—
771D292—42no—
772D292—48no—
773D292—44no—
774D292—44no—
775D292—44no—
776D292—44no—
777C4×D73—28no—
778C4×D73—28no—
779C4×D73—216no—
780C4×D73—48no—
781C4×D73—48no—
782C4×D73—48no—
783C4×D73—48no—
784C4×D73—48no—
785Dic146—28no—
786Dic146—24no—
787Dic146—48no—
788Dic146—42no—
789Dic146—44no—
790C22×C73—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—24no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—24no—
798C22×C73—24no—
799C22×C73—21no—
800C22×C73—44no—
801C22×C73C2×H(5,𝔽2)12yes—
802C22×C73#58512yes—
803C22×C73C2611yescharacteristic
804C2×D73—24no—
805C2×D73—28no—
806C2×D73—28no—
807C2×D73—28no—
808C2×D73—24no—
809C2×D73—24no—
810C2×D73—88no—
811C2×D73—84no—
812C2×D73—816no—
813C4×C73—21no—
814C4×C73—24no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—24no—
818C4×C73—24no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73C2×H(5,𝔽2)12yes—
826C4×C73C2×H(5,𝔽2)12yes—
827C4×C73#58512yes—
828Dic73—28no—
829Dic73—24no—
830Dic73—24no—
831Dic73—24no—
832#62748—731nomaximal, Sylow
833C2×C73—22no—
834C2×C73—22no—
835C2×C73—44no—
836C2×C73—41no—
837C2×C73C22×H(5,𝔽2)11yescharacteristic
838C2×C73C2×#58511yescharacteristic
839C2×C73C2×#58511yescharacteristic
840D73—48no—
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#3444D7311yescharacteristic, complemented
865C2×#532—731no—
866C2×#529—731no—
867C73#6274811yescharacteristic, complemented, Sylow
868C22×#41—734no—
869C22×#41—732no—
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—734no—
885#556—732no—
886#554—734no—
887#554—734no—
888#553—734no—
889#553—738no—
890#553—734no—
891#553—734no—
892#553—738no—
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—738no—
905#547—734no—
906#547—734no—
907#547—732no—
908#546—738no—
909#546—738no—
910#546—734no—
911#546—734no—
912#546—738no—
913#546—738no—
914#546—734no—
915#546—734no—
916#546—734no—
917D42—734no—
918D42—738no—
919D42—734no—
920D42—732no—
921D42—734no—
922#544—734no—
923#543—734no—
924#542—734no—
925#542—734no—
926#542—738no—
927#542—734no—
928#542—734no—
929#541—734no—
930#540—734no—
931#540—738no—
932#540—734no—
933#540—734no—
934#539—738no—
935#539—738no—
936#539—738no—
937#539—734no—
938#539—734no—
939#538—738no—
940#538—738no—
941#538—734no—
942#538—734no—
943#538—734no—
944#538—734no—
945#538—738no—
946#538—738no—
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#533C2×D7311yescharacteristic, complemented
961#533C2×D7311yescharacteristic, complemented
962#533C2×D7311yescharacteristic, complemented
963#532—734no—
964#532—738no—
965#532—732no—
966#532—732no—
967#532—732no—
968#532—732no—
969#532—732no—
970#532—732no—
971#532—732no—
972#532—732no—
973#532—734no—
974#532C2×D7311yescharacteristic, complemented
975#532C2×D7311yescharacteristic, complemented
976#532C2×D7311yescharacteristic, complemented
977C2×C4⋊Q8—731no—
978C2×#127—731no—
979#529—738no—
980#529—738no—
981#529—738no—
982#529—732no—
983#529—732no—
984#529—732no—
985#529—732no—
986#529—732no—
987#529—732no—
988#529—732no—
989#529—732no—
990#529—734no—
991#529C2×D7312yescomplemented
992#529C2×D7312yescomplemented
993#529C2×D7312yescomplemented
994#529C2×D7312yescomplemented
995#529C2×D7312yescomplemented
996#529C2×D7312yescomplemented
997C2×#126—732no—
998C2×#125—731no—
999C2×#124—731no—
1000C2×#124—732no—
1001#525—738no—
1002#525—738no—
1003#525—738no—
1004#525—738no—
1005#525—734no—
1006#525—738no—
1007#525C2×D7312yescomplemented
1008#525C2×D7312yescomplemented
1009#525C2×D7312yescomplemented
1010C2×#123—732no—
1011C2×C22⋊Q8—731no—
1012C2×#121—731no—
1013C2×#121—732no—
1014C2×#121—732no—
1015C4×#41—734no—
1016C4×#41—734no—
1017C4×#41C2×D7312yescomplemented
1018C4×#41C2×D7312yescomplemented
1019C4×#41C2×D7312yescomplemented
1020C2×C4×Q8—731no—
1021C2×C4×D4—732no—
1022C2×C4×D4—738no—
1023C2×C4×D4—731no—
1024C2×C4×D4—732no—
1025C2×C4×D4—732no—
1026C2×C4×D4—734no—
1027C2×#117—732no—
1028C22×C42C2×D7311yescharacteristic, complemented
1029C2×#41—2928no—
1030C2×#41—29216no—
1031C2×#41—734no—
1032C2×#41—734no—
1033C2×#41—738no—
1034C2×#41—734no—
1035C2×#41—738no—
1036C2×#41—734no—
1037C2×#41—734no—
1038C2×#41—734no—
1039C2×#41—734no—
1040C2×#41C22×D7312yes—
1041C2×#41C22×D7312yes—
1042C2×#41C22×D7312yes—
1043C22×Q8—734no—
1044C22×Q8—731no—
1045C22×Q8—732no—
1046C22×D4—732no—
1047C22×D4—734no—
1048C22×D4—738no—
1049C22×D4—738no—
1050C22×D4—734no—
1051C22×D4—731no—
1052C22×D4—732no—
1053C22×D4—732no—
1054C22×D4—734no—
1055C22×D4—732no—
1056C23×C4—734no—
1057C23×C4—738no—
1058C23×C4—732no—
1059C23×C4C22×D7311yescharacteristic
1060C23×C4C22×D7311yescharacteristic
1061C23×C4C22×D7311yescharacteristic
1062C4⋊Q8—734no—
1063C4⋊Q8—738no—
1064C4⋊Q8—732no—
1065C4⋊Q8—732no—
1066C4⋊Q8—732no—
1067C4⋊Q8—732no—
1068C4⋊Q8—734no—
1069C4⋊Q8C22×D7311yescharacteristic
1070C4⋊Q8C22×D7311yescharacteristic
1071C4⋊Q8C22×D7311yescharacteristic
1072#127—734no—
1073#127—738no—
1074#127—732no—
1075#127—732no—
1076#127—732no—
1077#127—732no—
1078#127—734no—
1079#127C22×D7311yescharacteristic
1080#126—738no—
1081#126—738no—
1082#126—738no—
1083#126—738no—
1084#126—738no—
1085#126—738no—
1086#126—734no—
1087#126—734no—
1088#126—734no—
1089#126—734no—
1090#126—738no—
1091#126C22×D7314yes—
1092#126C22×D7314yes—
1093#125—738no—
1094#125—738no—
1095#125—738no—
1096#125—732no—
1097#125—732no—
1098#125—732no—
1099#125—732no—
1100#125—734no—
1101#125C22×D7312yes—
1102#125C22×D7312yes—
1103#125C22×D7312yes—
1104#124—738no—
1105#124—738no—
1106#124—734no—
1107#124—734no—
1108#124—738no—
1109#124—738no—
1110#124—738no—
1111#124—732no—
1112#124—732no—
1113#124—732no—
1114#124—732no—
1115#124—734no—
1116#124—734no—
1117#124—734no—
1118#124—734no—
1119#124—734no—
1120#124—738no—
1121#124C22×D7312yes—
1122#124C22×D7312yes—
1123#124C22×D7312yes—
1124#123—734no—
1125#123—734no—
1126#123—734no—
1127#123—734no—
1128#123—738no—
1129#123—738no—
1130#123—738no—
1131#123—738no—
1132#123—738no—
1133#123—738no—
1134#123—738no—
1135#123—738no—
1136#123—738no—
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#123C22×D7314yes—
1147#123C22×D7314yes—
1148#123C22×D7314yes—
1149C22⋊Q8—738no—
1150C22⋊Q8—738no—
1151C22⋊Q8—732no—
1152C22⋊Q8—732no—
1153C22⋊Q8—732no—
1154C22⋊Q8—732no—
1155C22⋊Q8—734no—
1156C22⋊Q8—738no—
1157C22⋊Q8—738no—
1158C22⋊Q8—738no—
1159C22⋊Q8—738no—
1160C22⋊Q8—738no—
1161C22⋊Q8—734no—
1162C22⋊Q8—734no—
1163C22⋊Q8—738no—
1164C22⋊Q8—738no—
1165C22⋊Q8—738no—
1166C22⋊Q8—738no—
1167C22⋊Q8—738no—
1168C22⋊Q8—738no—
1169C22⋊Q8C22×D7312yes—
1170C22⋊Q8C22×D7312yes—
1171C22⋊Q8C22×D7312yes—
1172C22⋊Q8C22×D7312yes—
1173C22⋊Q8C22×D7312yes—
1174C22⋊Q8C22×D7312yes—
1175#121—738no—
1176#121—738no—
1177#121—738no—
1178#121—738no—
1179#121—738no—
1180#121—738no—
1181#121—738no—
1182#121—732no—
1183#121—732no—
1184#121—732no—
1185#121—732no—
1186#121—734no—
1187#121—734no—
1188#121—734no—
1189#121—734no—
1190#121—734no—
1191#121—734no—
1192#121—734no—
1193#121—734no—
1194#121—734no—
1195#121—734no—
1196#121—734no—
1197#121—738no—
1198#121—738no—
1199#121—738no—
1200#121—734no—
1201#121—734no—
1202#121—738no—
1203#121—738no—
1204#121—738no—
1205#121—738no—
1206#121—738no—
1207#121—738no—
1208#121—738no—
1209#121—738no—
1210#121—738no—
1211#121—738no—
1212#121C22×D7312yes—
1213#121C22×D7312yes—
1214#121C22×D7312yes—
1215#121C22×D7312yes—
1216#121C22×D7312yes—
1217#121C22×D7312yes—
1218#120—738no—
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#120C22×D7314yes—
1230C4×Q8—734no—
1231C4×Q8—734no—
1232C4×Q8—732no—
1233C4×Q8—732no—
1234C4×Q8—732no—
1235C4×Q8—732no—
1236C4×Q8—734no—
1237C4×Q8C22×D7312yes—
1238C4×Q8C22×D7312yes—
1239C4×Q8C22×D7312yes—
1240C4×Q8C22×D7312yes—
1241C4×Q8C22×D7312yes—
1242C4×Q8C22×D7312yes—
1243C4×D4—738no—
1244C4×D4—734no—
1245C4×D4—738no—
1246C4×D4—734no—
1247C4×D4—734no—
1248C4×D4—734no—
1249C4×D4—738no—
1250C4×D4—738no—
1251C4×D4—738no—
1252C4×D4—734no—
1253C4×D4—734no—
1254C4×D4—738no—
1255C4×D4—738no—
1256C4×D4—738no—
1257C4×D4—738no—
1258C4×D4—732no—
1259C4×D4—734no—
1260C4×D4—732no—
1261C4×D4—738no—
1262C4×D4—738no—
1263C4×D4—734no—
1264C4×D4—734no—
1265C4×D4—734no—
1266C4×D4—732no—
1267C4×D4—732no—
1268C4×D4—734no—
1269C4×D4—734no—
1270C4×D4—734no—
1271C4×D4—734no—
1272C4×D4—734no—
1273C4×D4—734no—
1274C4×D4—738no—
1275C4×D4—734no—
1276C4×D4C22×D7314yes—
1277C4×D4C22×D7312yes—
1278C4×D4C22×D7312yes—
1279C4×D4C22×D7314yes—
1280C4×D4C22×D7314yes—
1281C4×D4C22×D7314yes—
1282C4×D4C22×D7314yes—
1283C4×D4C22×D7314yes—
1284C4×D4C22×D7312yes—
1285C4×D4C22×D7312yes—
1286C4×D4C22×D7312yes—
1287C4×D4C22×D7312yes—
1288#117—734no—
1289#117—734no—
1290#117—734no—
1291#117—734no—
1292#117—734no—
1293#117—738no—
1294#117—738no—
1295#117C22×D7312yes—
1296#117C22×D7314yes—
1297#117C22×D7312yes—
1298#117C22×D7312yes—
1299#117C22×D7314yes—
1300#117C22×D7314yes—
1301C2×C4⋊C4—732no—
1302C2×C4⋊C4—732no—
1303C2×C4⋊C4—732no—
1304C2×C4⋊C4—732no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—732no—
1307C2×C4⋊C4—734no—
1308C2×C4⋊C4—731no—
1309C2×C4⋊C4—732no—
1310C2×C4⋊C4—738no—
1311C2×C22⋊C4—732no—
1312C2×C22⋊C4—732no—
1313C2×C22⋊C4—732no—
1314C2×C22⋊C4—734no—
1315C2×C22⋊C4—734no—
1316C2×C22⋊C4—732no—
1317C2×C22⋊C4—732no—
1318C2×C22⋊C4—738no—
1319C2×C22⋊C4—738no—
1320C2×C22⋊C4—738no—
1321C2×C42—732no—
1322C2×C42—738no—
1323C2×C42C22×D7311yescharacteristic
1324C2×C42C22×D7311yescharacteristic
1325C2×C42C22×D7311yescharacteristic
1326C2×C42C22×D7311yescharacteristic
1327C2×C42C22×D7314yes—
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—734no—
1338C24—732no—
1339C24C23×D7311yescharacteristic
1340#41—28no—
1341#41—44no—
1342#41—44no—
1343#41—2928no—
1344#41—2928no—
1345#41—2928no—
1346#41—2928no—
1347#41—29216no—
1348#41—2928no—
1349#41—29216no—
1350#41—2928no—
1351#41—14616no—
1352C2×Q8—2922no—
1353C2×Q8—2924no—
1354C2×Q8—2928no—
1355C2×Q8—732no—
1356C2×Q8—738no—
1357C2×Q8—734no—
1358C2×Q8—732no—
1359C2×Q8—734no—
1360C2×Q8C23×D7312yes—
1361C2×Q8C23×D7312yes—
1362C2×Q8C23×D7312yes—
1363C2×D4—2924no—
1364C2×D4—2924no—
1365C2×D4—2922no—
1366C2×D4—2928no—
1367C2×D4—2924no—
1368C2×D4—29216no—
1369C2×D4—29216no—
1370C2×D4—2924no—
1371C2×D4—2928no—
1372C2×D4—2928no—
1373C2×D4—738no—
1374C2×D4—734no—
1375C2×D4—738no—
1376C2×D4—738no—
1377C2×D4—738no—
1378C2×D4—738no—
1379C2×D4—734no—
1380C2×D4—738no—
1381C2×D4—732no—
1382C2×D4—738no—
1383C2×D4—738no—
1384C2×D4—734no—
1385C2×D4—734no—
1386C2×D4—734no—
1387C2×D4—738no—
1388C2×D4—734no—
1389C2×D4—732no—
1390C2×D4—734no—
1391C2×D4—734no—
1392C2×D4C23×D7314yes—
1393C2×D4C23×D7314yes—
1394C2×D4C23×D7312yes—
1395C2×D4C23×D7312yes—
1396C2×D4C23×D7312yes—
1397C2×D4C23×D7314yes—
1398C22×C4—24no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—2928no—
1402C22×C4—29216no—
1403C22×C4—732no—
1404C22×C4—732no—
1405C22×C4—734no—
1406C22×C4—738no—
1407C22×C4—738no—
1408C22×C4—738no—
1409C22×C4—738no—
1410C22×C4—738no—
1411C22×C4—738no—
1412C22×C4—732no—
1413C22×C4—734no—
1414C22×C4—738no—
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×D7314yes—
1426C22×C4C23×D7311yescharacteristic
1427C22×C4C23×D7311yescharacteristic
1428C22×C4C23×D7314yes—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432C22×C4C23×D7311yescharacteristic
1433C22×C4C23×D7311yescharacteristic
1434C22×C4C23×D7311yescharacteristic
1435C22×C4C23×D7311yescharacteristic
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—738no—
1445C4⋊C4—734no—
1446C4⋊C4—734no—
1447C4⋊C4—738no—
1448C4⋊C4—738no—
1449C4⋊C4—738no—
1450C4⋊C4—732no—
1451C4⋊C4—734no—
1452C4⋊C4—732no—
1453C4⋊C4—734no—
1454C4⋊C4—734no—
1455C4⋊C4—734no—
1456C4⋊C4—738no—
1457C4⋊C4—738no—
1458C4⋊C4—732no—
1459C4⋊C4—732no—
1460C4⋊C4C23×D7314yes—
1461C4⋊C4C23×D7312yes—
1462C4⋊C4C23×D7312yes—
1463C4⋊C4C23×D7314yes—
1464C4⋊C4C23×D7314yes—
1465C4⋊C4C23×D7314yes—
1466C4⋊C4C23×D7314yes—
1467C4⋊C4C23×D7314yes—
1468C4⋊C4C23×D7312yes—
1469C4⋊C4C23×D7312yes—
1470C4⋊C4C23×D7312yes—
1471C4⋊C4C23×D7312yes—
1472C22⋊C4—734no—
1473C22⋊C4—738no—
1474C22⋊C4—734no—
1475C22⋊C4—738no—
1476C22⋊C4—734no—
1477C22⋊C4—734no—
1478C22⋊C4—738no—
1479C22⋊C4—734no—
1480C22⋊C4—734no—
1481C22⋊C4—734no—
1482C22⋊C4—734no—
1483C22⋊C4—734no—
1484C22⋊C4—738no—
1485C22⋊C4—738no—
1486C22⋊C4—734no—
1487C22⋊C4—738no—
1488C22⋊C4—738no—
1489C22⋊C4—738no—
1490C22⋊C4—738no—
1491C22⋊C4—738no—
1492C22⋊C4—738no—
1493C22⋊C4—738no—
1494C22⋊C4—738no—
1495C22⋊C4—738no—
1496C22⋊C4C23×D7314yes—
1497C22⋊C4C23×D7314yes—
1498C22⋊C4C23×D7314yes—
1499C22⋊C4C23×D7314yes—
1500C22⋊C4C23×D7314yes—
1501C22⋊C4C23×D7314yes—
1502C22⋊C4C23×D7314yes—
1503C22⋊C4C23×D7314yes—
1504C22⋊C4C23×D7314yes—
1505C42—734no—
1506C42—738no—
1507C42—738no—
1508C42—734no—
1509C42C23×D7311yescharacteristic
1510C42C23×D7311yescharacteristic
1511C42C23×D7311yescharacteristic
1512C42C23×D7311yescharacteristic
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C42C23×D7311yescharacteristic
1517C42C23×D7311yescharacteristic
1518C42C23×D7311yescharacteristic
1519C42C23×D7311yescharacteristic
1520C42C23×D7311yescharacteristic
1521C42C23×D7314yes—
1522C42C23×D7314yes—
1523C42C23×D7314yes—
1524C42C23×D7311yescharacteristic
1525C42C23×D7311yescharacteristic
1526C42C23×D7311yescharacteristic
1527C42C23×D7311yescharacteristic
1528C23—22no—
1529C23—22no—
1530C23—41no—
1531C23—2924no—
1532C23—2928no—
1533C23—2922no—
1534C23—2924no—
1535C23—2922no—
1536C23—2928no—
1537C23—2928no—
1538C23—734no—
1539C23—738no—
1540C23—1464no—
1541C23—1468no—
1542C23C24×D7314yes—
1543C23C24×D7311yescharacteristic
1544C23C24×D7311yescharacteristic
1545C23C24×D7311yescharacteristic
1546Q8—24no—
1547Q8—42no—
1548Q8—42no—
1549Q8—2924no—
1550Q8—2928no—
1551Q8—2922no—
1552Q8—1468no—
1553Q8—1464no—
1554D4—28no—
1555D4—28no—
1556D4—24no—
1557D4—42no—
1558D4—42no—
1559D4—44no—
1560D4—2924no—
1561D4—2928no—
1562D4—2924no—
1563D4—2924no—
1564D4—2924no—
1565D4—2922no—
1566D4—2928no—
1567D4—2928no—
1568D4—2928no—
1569D4—2928no—
1570D4—2928no—
1571D4—2924no—
1572D4—2928no—
1573D4—2928no—
1574D4—14616no—
1575D4—1468no—
1576D4—1468no—
1577D4—1464no—
1578D4—1468no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—28no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—28no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—44no—
1599C2×C4—2928no—
1600C2×C4—2928no—
1601C2×C4—2928no—
1602C2×C4—2928no—
1603C2×C4—2928no—
1604C2×C4—2924no—
1605C2×C4—2928no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—734no—
1609C2×C4—734no—
1610C2×C4—738no—
1611C2×C4—734no—
1612C2×C4—1464no—
1613C2×C4—1468no—
1614C2×C4—14616no—
1615C2×C4—1468no—
1616C2×C4#1455663714yes—
1617C2×C4C24×D7314yes—
1618C2×C4C24×D7314yes—
1619C2×C4C24×D7311yescharacteristic
1620C2×C4C24×D7311yescharacteristic
1621C2×C4C24×D7311yescharacteristic
1622C2×C4C24×D7311yescharacteristic
1623C2×C4C24×D7311yescharacteristic
1624C2×C4C24×D7311yescharacteristic
1625C2×C4C24×D7311yescharacteristic
1626C2×C4C24×D7311yescharacteristic
1627C2×C4C24×D7311yescharacteristic
1628C2×C4C24×D7314yes—
1629C2×C4C24×D7311yescharacteristic
1630C2×C4C24×D7311yescharacteristic
1631C2×C4C24×D7311yescharacteristic
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—24no—
1638C22—21no—
1639C22—24no—
1640C22—21no—
1641C22—24no—
1642C22—44no—
1643C22—5848no—
1644C22—5844no—
1645C22—58416no—
1646C22—1464no—
1647C22—1468no—
1648C22—1468no—
1649C22—1468no—
1650C22—1464no—
1651C22—1464no—
1652C22C2×#1455663712yes—
1653C22#1798942312yes—
1654C22C25×D7311yescharacteristic
1655C4—21no—
1656C4—21no—
1657C4—24no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—24no—
1666C4—24no—
1667C4—1464no—
1668C4—1468no—
1669C4—1464no—
1670C4—1464no—
1671C4C2×#1455663712yes—
1672C4C2×#1455663712yes—
1673C4#1798942312yes—
1674C2—22no—
1675C2—22no—
1676C2—41no—
1677C2—44no—
1678C2—2924no—
1679C2—2928no—
1680C2C22×#1455663711yescharacteristic
1681C2C2×#1798942311yescharacteristic
1682C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3444C2
hypercenter#3444D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #22624511C2semidirect
2. #22624496C2semidirect
3. #22624477C2semidirect
4. #22624462C2semidirect
5. #22624454C2semidirect
6. #22624447C2semidirect
7. #22624402C2semidirect
8. #22624368C2semidirect
9. #22624303C2semidirect
10. #22624261C2semidirect
11. #22624170C2semidirect
12. #22624158C2semidirect
13. #22624115C2semidirect
14. #22624070C2semidirect
15. #22623541C2semidirect
16. #22623524C2semidirect
17. #41×D292C2semidirect
18. #22623414C2semidirect
19. #22623347C2semidirect
20. #22623341C2semidirect
21. #22623323C2semidirect
22. #22623258C2semidirect
23. C2×#17989137C2semidirect
24. C2×#17989121C2semidirect
25. C73×#3444C2semidirect
26. C22×#11924028C22semidirect
27. C2×#41×D73C22semidirect
28. #17989341C22semidirect
29. #17989339C22semidirect
30. #17989335C22semidirect
31. #17989334C22semidirect
32. #17989333C22semidirect
33. #17989331C22semidirect
34. #17989329C22semidirect
35. #17989328C22semidirect
36. #17989327C22semidirect
37. #17989325C22semidirect
38. #17989322C22semidirect
39. #17989322C22semidirect
40. #17989320C22semidirect
41. #17989315C22semidirect
42. #17989309C22semidirect
43. #17989307C22semidirect
44. #17989297C22semidirect
45. #17989294C22semidirect
46. #17989286C22semidirect
47. #17989283C22semidirect
48. #17989283C22semidirect
49. #17989283C22semidirect
50. #17989281C22semidirect
51. #17989261C22semidirect
52. #17989261C22semidirect
53. #17989259C22semidirect
54. #17989258C22semidirect
55. #17989255C22semidirect
56. Q8×D292C22semidirect
57. #17989250C22semidirect
58. #17989249C22semidirect
59. #17989247C22semidirect
60. #17989246C22semidirect
61. #17989243C22semidirect
62. #17989241C22semidirect
63. #17989241C22semidirect
64. #17989239C22semidirect
65. #17989235C22semidirect
66. #17989234C22semidirect
67. #17989233C22semidirect
68. #17989233C22semidirect
69. #17989232C22semidirect
70. #17989232C22semidirect
71. #17989229C22semidirect
72. #17989228C22semidirect
73. #17989225C22semidirect
74. #17989224C22semidirect
75. D4×D292C22semidirect
76. D4×D292C22semidirect
77. D4×D292C22semidirect
78. #17989221C22semidirect
79. #17989219C22semidirect
80. #17989215C22semidirect
81. #17989212C22semidirect
82. #17989211C22semidirect
83. #17989211C22semidirect
84. #17989209C22semidirect
85. #17989208C22semidirect
86. #17989208C22semidirect
87. #17989200C22semidirect
88. #17989193C22semidirect
89. #17989192C22semidirect
90. #17989192C22semidirect
91. #17989188C22semidirect
92. #17989186C22semidirect
93. #17989186C22semidirect
94. #17989185C22semidirect
95. #17989181C22semidirect
96. #17989178C22semidirect
97. #17989177C22semidirect
98. #17989177C22semidirect
99. #17989177C22semidirect
100. #17989176C22semidirect
101. #17989174C22semidirect
102. #17989171C22semidirect
103. #17989170C22semidirect
104. #17989170C22semidirect
105. #17989165C22semidirect
106. #17989164C22semidirect
107. #17989164C22semidirect
108. #17989162C22semidirect
109. #17989157C22semidirect
110. #17989156C22semidirect
111. #17989155C22semidirect
112. #17989151C22semidirect
113. #17989150C22semidirect
114. #17989148C22semidirect
115. #17989145C22semidirect
116. #17989145C22semidirect
117. #17989145C22semidirect
118. #17989137C22semidirect
119. #17989137C22semidirect
120. #17989137C22semidirect
121. #17989137C22semidirect
122. #17989137C22semidirect
123. #17989137C22semidirect
124. #17989137C22semidirect
125. #17989137C22semidirect
126. #17989137C22semidirect
127. #17989134C22semidirect
128. #17989133C22semidirect
129. C2×#14556591C22semidirect
130. C2×#14556588C22semidirect
131. #17989124C22semidirect
132. #17989124C22semidirect
133. #17989121C22semidirect
134. #17989121C22semidirect
135. #17989121C22semidirect
136. #17989121C22semidirect
137. #17989121C22semidirect
138. #17989121C22semidirect
139. #17989121C22semidirect
140. #17989121C22semidirect
141. #17989121C22semidirect
142. #17989115C22semidirect
143. C2×#14556585C22semidirect
144. C2×#14556583C22semidirect
145. C2×#14556579C22semidirect
146. C2×#14556579C22semidirect
147. #17989099C22semidirect
148. #17989099C22semidirect
149. #17989096C22semidirect
150. #17989096C22semidirect
151. #17989096C22semidirect
152. #17989096C22semidirect
153. C2×#14556574C22semidirect
154. C2×#14556570C22semidirect
156. C2×#14556565C22semidirect
157. C2×#14556565C22semidirect
158. C4×#11924028C22semidirect
159. #17989055C22semidirect
160. C2×C4×Dic146C22semidirect
161. C2×C4×D292C22semidirect
162. C2×C4×D292C22semidirect
163. C2×C4×D292C22semidirect
164. C2×C4×D292C22semidirect
165. C2×C4×C22⋊D73C22semidirect
166. C4×D4×D73C22semidirect
167. C2×#14556548C22semidirect
168. #533×C73C22semidirect
169. #533×C73C22semidirect
170. #533×C73C22semidirect
171. #532×C73C22semidirect
172. #532×C73C22semidirect
173. #532×C73C22semidirect
174. #529×C73C22semidirect
175. #529×C73C22semidirect
176. #529×C73C22semidirect
177. #529×C73C22semidirect
178. #529×C73C22semidirect
179. #529×C73C22semidirect
180. #525×C73C22semidirect
181. #525×C73C22semidirect
182. #525×C73C22semidirect
183. C4×#41×C73C22semidirect
184. C4×#41×C73C22semidirect
185. C4×#41×C73C22semidirect
186. C22×C42×C73C22semidirect
864. #3444D73semidirect
867. C73#62748semidirect
960. #533C2×D73semidirect
961. #533C2×D73semidirect
962. #533C2×D73semidirect
974. #532C2×D73semidirect
975. #532C2×D73semidirect
976. #532C2×D73semidirect
991. #529C2×D73semidirect
992. #529C2×D73semidirect
993. #529C2×D73semidirect
994. #529C2×D73semidirect
995. #529C2×D73semidirect
996. #529C2×D73semidirect
1007. #525C2×D73semidirect
1008. #525C2×D73semidirect
1009. #525C2×D73semidirect
1017. C4×#41C2×D73semidirect
1018. C4×#41C2×D73semidirect
1019. C4×#41C2×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
#226245112
#226244962
#226244772
#226244622
#226244542
#226244472
#226244022
#226243682
#226243032
#226242612
#226241702
#226241582
#226241152
#226240702
#226235412
#226235242
#41×D2922
#226234142
#226233472
#226233412
#226233232
#226232582
C2×#179891372
C2×#179891212
C73×#34442
#6274873