Finite Group Databasebeta

← #33993805

Subgroups — #33993805

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624349C214yesmaximal, complemented
2#22624342C211yesmaximal, characteristic, complemented
3#22624336C211yesmaximal, characteristic, complemented
4#22624329C211yesmaximal, characteristic, complemented
5#22624321C212yesmaximal, complemented
6#22624308C212yesmaximal, complemented
7#22624304C212yesmaximal, complemented
8#22624291C212yesmaximal, complemented
9#22624281C214yesmaximal, complemented
10#22624272C212yesmaximal, complemented
11#22624255C212yesmaximal, complemented
12#22624253C214yesmaximal, complemented
13#22624235C214yesmaximal, complemented
14#22624068C214yesmaximal, complemented
15#22623554C212yesmaximal, complemented
16#22623542C212yesmaximal, complemented
17#22623497C212yesmaximal, complemented
18#22623494C212yesmaximal, complemented
19#22623421C212yesmaximal, complemented
20#22623418C212yesmaximal, complemented
21#22623348C214yesmaximal, complemented
22#22623346C214yesmaximal, complemented
23#22623259C214yesmaximal, complemented
24#22623228C211yesmaximal, characteristic, complemented
25#22623226C211yesmaximal, characteristic, complemented
26#532×D73C211yesmaximal, characteristic, complemented
27C73×#3548C211yesmaximal, characteristic, complemented
28C2×#41×D73C2212yescomplemented
29C2×#41×D73C2214yescomplemented
30#17989341C2214yescomplemented
31#17989338C2218yescomplemented
32#17989334C2218yescomplemented
33#17989333C2218yescomplemented
34#17989331C2214yescomplemented
35#17989329C2214yescomplemented
36#17989327C2218yescomplemented
37#17989325C2218yescomplemented
38#17989325C2218yescomplemented
39#17989322C2212yescomplemented
40Q8×Dic146C2212yescomplemented
41#17989311C2212yescomplemented
42#17989310C2212yescomplemented
43#17989303C2212yescomplemented
44#17989302C2212yescomplemented
45#17989302C2212yescomplemented
46#17989302C2214yescomplemented
47#17989301C2218yescomplemented
48#17989301C2214yescomplemented
49#17989298C2212yescomplemented
50#17989294C2212yescomplemented
51#17989290C2214yescomplemented
52#17989289C2214yescomplemented
53#17989285C2214yescomplemented
54#17989285C2214yescomplemented
55#17989279C2214yescomplemented
56#17989275C2214yescomplemented
57#17989272C2214yescomplemented
58#17989271C2214yescomplemented
59#17989264C2218yescomplemented
60#17989264C2218yescomplemented
61#17989260C2218yescomplemented
62#17989258C2212yescomplemented
63#17989257C2214yescomplemented
64#17989257C2212yescomplemented
65#17989256C2214yescomplemented
66Q8×D292C2212yescomplemented
67#17989252C2212yescomplemented
68#17989247C2214yescomplemented
69#17989244C2214yescomplemented
70#17989242C2214yescomplemented
71#17989242C2212yescomplemented
72#17989241C2212yescomplemented
73#17989238C2214yescomplemented
74#17989234C2218yescomplemented
75#17989234C2214yescomplemented
76#17989232C2214yescomplemented
77#17989232C2214yescomplemented
78#17989229C2218yescomplemented
79#17989228C2214yescomplemented
80#17989225C2214yescomplemented
81#17989225C2214yescomplemented
82D4×D292C2212yescomplemented
83D4×D292C2212yescomplemented
84#17989222C2212yescomplemented
85#17989222C2214yescomplemented
86#17989221C2214yescomplemented
87#17989218C2214yescomplemented
88#17989217C2214yescomplemented
89#17989210C2214yescomplemented
90#17989210C2218yescomplemented
91#17989210C2214yescomplemented
92#17989208C2214yescomplemented
93#17989205C2218yescomplemented
94#17989202C2214yescomplemented
95#17989190C2214yescomplemented
96#17989190C2214yescomplemented
97#17989190C2218yescomplemented
98#17989188C2214yescomplemented
99#17989187C2218yescomplemented
100#17989174C2218yescomplemented
101#17989174C2218yescomplemented
102#17989173C2218yescomplemented
103#17989169C2218yescomplemented
104#17989168C2214yescomplemented
105#17989166C2214yescomplemented
106#17989165C2214yescomplemented
107#17989165C2214yescomplemented
108#17989160C2218yescomplemented
109#17989160C2214yescomplemented
110#17989160C2214yescomplemented
111#17989153C2214yescomplemented
112#17989153C2214yescomplemented
113#17989153C2218yescomplemented
114#17989153C2214yescomplemented
115#17989151C2214yescomplemented
116#17989151C2214yescomplemented
117#17989150C2214yescomplemented
118#17989145C2218yescomplemented
119#17989145C2218yescomplemented
120#17989144C2211yescharacteristic, complemented
121#17989142C2211yescharacteristic, complemented
122#17989142C2211yescharacteristic, complemented
123#17989142C2211yescharacteristic, complemented
124#17989142C2211yescharacteristic, complemented
125#17989138C2211yescharacteristic
126#17989138C2211yescharacteristic
127#17989138C2211yescharacteristic, complemented
128#17989137C2211yescharacteristic
129#17989137C2211yescharacteristic, complemented
130#17989136C2212yescomplemented
131#17989135C2211yescharacteristic
132#17989135C2211yescharacteristic, complemented
133#17989135C2211yescharacteristic, complemented
134#17989135C2214yescomplemented
135#17989134C2212yescomplemented
136#17989134C2212yescomplemented
137#17989133C2212yescomplemented
138#17989132C2218yescomplemented
139#17989132C2218yescomplemented
140#17989132C2214yescomplemented
141#17989132C2212yescomplemented
142#17989132C2212yescomplemented
143C4⋊Q8×D73C2211yescharacteristic, complemented
144#127×D73C2211yescharacteristic
145#17989124C2212yescomplemented
146#17989124C2212yescomplemented
147#17989123C2214yescomplemented
148#17989123C2218yescomplemented
149#17989123C2212yescomplemented
150#17989123C2212yescomplemented
151#17989122C2214yescomplemented
152#17989122C2212yescomplemented
153#17989122C2212yescomplemented
154#17989119C2212yescomplemented
155#17989119C2212yescomplemented
156#17989118C2212yescomplemented
157#17989118C2212yescomplemented
158#17989116C2212yescomplemented
159#17989116C2212yescomplemented
160#17989114C2218yescomplemented
161#124×D73C2212yescomplemented
162#17989100C2214yescomplemented
163#17989100C2212yescomplemented
164#17989100C2218yescomplemented
165#17989100C2212yescomplemented
166#17989099C2212yescomplemented
167#17989097C2214yescomplemented
168#17989097C2212yescomplemented
169#17989097C2218yescomplemented
170#17989097C2218yescomplemented
171#17989097C2212yescomplemented
172#17989095C2218yescomplemented
173#17989094C2212yescomplemented
174#121×D73C2212yescomplemented
175#121×D73C2212yescomplemented
176#41×Dic73C2214yescomplemented
177#41×Dic73C2212yescomplemented
178C4×#11924029C2212yescomplemented
179C4×#11924029C2212yescomplemented
180#17989055C2212yescomplemented
181C4×#11924027C2212yescomplemented
182C4×#11924027C2214yescomplemented
183C4×#11924027C2212yescomplemented
184C2×#14556553C2214yescomplemented
185C4×D4×D73C2212yescomplemented
186C4×D4×D73C2212yescomplemented
187C4×D4×D73C2214yescomplemented
188C2×#14556549C2214yescomplemented
189C2×C42×D73C2211yescharacteristic, complemented
190#562×C73C2214yescomplemented
191#554×C73C2212yescomplemented
192#554×C73C2212yescomplemented
193#550×C73C2212yescomplemented
194#550×C73C2212yescomplemented
195#547×C73C2212yescomplemented
196#547×C73C2212yescomplemented
197#540×C73C2214yescomplemented
198#537×C73C2214yescomplemented
199#537×C73C2214yescomplemented
200#533×C73C2211yescharacteristic, complemented
201#532×C73C2211yescharacteristic, complemented
202#532×C73C2211yescharacteristic, complemented
203C2×#11924029C2312yes—
204C2×#11924029C2312yes—
205C2×#11924029C2312yes—
206C2×#11924028C2312yes—
207C2×#11924028C2314yes—
208C2×#11924028C2312yes—
209C2×#11924028C2318yes—
210C2×#11924028C2314yes—
211C2×#11924027C2312yes—
212C2×#11924027C2312yes—
213C2×#11924027C2314yes—
214C2×#11924027C2318yes—
215C2×#11924027C2312yes—
216C2×#11924027C2314yes—
217#41×D73—48no—
218#41×D73—416no—
219C2×Q8×D73C2312yes—
220C2×Q8×D73C2314yes—
221C22×D292C2314yes—
222C2×D4×D73C2312yes—
223C2×D4×D73C2312yes—
224C2×D4×D73C2312yes—
225C2×D4×D73C2314yes—
226C2×D4×D73C2318yes—
227C2×D4×D73C2314yes—
228C2×D4×D73C2314yes—
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2314yes—
231C22×C4×D73C2318yes—
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556591C2314yes—
238#14556591C2311yescharacteristic
239#14556590C2312yes—
240#14556590C2312yes—
241#14556590C2318yes—
242#14556590C2318yes—
243#14556590C2314yes—
244#14556589C2312yes—
245#14556588C2311yescharacteristic
246#14556588C2311yescharacteristic
247#14556587C2312yes—
248#14556587C2312yes—
249#14556587C2312yes—
250#14556587C2318yes—
251#14556587C2314yes—
252#14556587C2318yes—
253#14556586C2314yes—
254#14556586C2314yes—
255#14556586C2318yes—
256#14556586C2318yes—
257#14556586C2318yes—
258#14556586C2318yes—
259#14556586C2318yes—
260#14556584C2318yes—
261#14556584C2314yes—
262#14556584C2314yes—
263#14556583C2312yes—
264#14556582C2312yes—
265#14556582C2312yes—
266#14556582C2314yes—
267#14556582C2318yes—
268#14556582C2312yes—
269#14556582C2312yes—
270#14556581C2318yes—
271#14556580C2312yes—
272#14556580C2312yes—
273#14556580C2314yes—
274#14556580C2318yes—
275#14556580C2312yes—
276#14556579C2312yes—
277#14556579C2314yes—
278#14556579C2312yes—
279#14556578C2312yes—
280#14556578C2312yes—
281#14556578C2312yes—
282#14556578C2318yes—
283#14556577C2314yes—
284#14556577C2314yes—
285#14556577C2318yes—
286#14556577C2318yes—
287#14556577C2318yes—
288#14556577C2318yes—
289#14556577C2318yes—
290#14556577C2318yes—
291#14556576C2314yes—
292#14556576C2314yes—
293#14556576C2318yes—
294#14556576C2318yes—
295#14556576C2318yes—
296#14556576C2318yes—
297#14556575C2314yes—
298#14556575C2318yes—
299#14556575C2318yes—
300#14556575C2318yes—
301#14556574C2318yes—
302#14556574C2318yes—
303#14556573C2314yes—
304#14556573C2318yes—
305#14556573C2318yes—
306#14556573C2318yes—
307#14556573C2318yes—
308#14556573C2318yes—
309#14556573C2314yes—
310#14556572C2314yes—
311#14556571C2312yes—
312#14556571C2312yes—
313#14556571C2314yes—
314#14556571C2312yes—
315#14556571C2312yes—
316#14556571C2318yes—
317#14556571C2314yes—
318#14556571C2318yes—
319#14556570C2312yes—
320#14556570C2312yes—
321#14556570C2318yes—
322#14556570C2314yes—
323#14556570C2318yes—
324#14556569C2318yes—
325#14556569C2318yes—
326#14556568C2318yes—
327#14556567C2312yes—
328#14556567C2312yes—
329#14556567C2312yes—
330#14556567C2312yes—
331#14556567C2314yes—
332#14556567C2318yes—
333#14556566C2312yes—
334#14556566C2312yes—
335#14556566C2314yes—
336#14556566C2312yes—
337#14556566C2312yes—
338#14556566C2312yes—
339#14556566C2312yes—
340#14556566C2314yes—
341#14556566C2318yes—
342#14556565C2312yes—
343#14556565C2312yes—
344#14556565C2314yes—
345#14556565C2318yes—
346#14556565C2312yes—
347#14556565C2312yes—
348#14556565C2318yes—
349#14556565C2318yes—
350#14556565C2314yes—
351#14556565C2314yes—
352#14556565C2318yes—
353#14556564C2314yes—
354#14556564C2314yes—
355#14556564C2318yes—
356#14556564C2318yes—
357#14556563C2314yes—
358#14556563C2314yes—
359#14556563C2318yes—
360#14556563C2318yes—
361#14556563C2318yes—
362#14556563C2318yes—
363#14556563C2318yes—
364#14556563C2318yes—
365#14556562C2312yes—
366#14556562C2312yes—
367#14556562C2312yes—
368#14556562C2312yes—
369#14556562C2312yes—
370#14556562C2314yes—
371#14556562C2314yes—
372#14556562C2318yes—
373#14556562C2312yes—
374#14556562C2318yes—
375#14556562C2314yes—
376#14556562C2318yes—
377#14556561C2314yes—
378#14556561C2318yes—
379#14556561C2318yes—
380#14556561C2318yes—
381#14556561C2318yes—
382#14556559C2314yes—
383#14556559C2318yes—
384#14556559C2318yes—
385#14556559C2318yes—
386#14556559C2318yes—
387#14556559C2318yes—
388#14556559C2318yes—
389Q8×Dic73C2312yes—
390Q8×Dic73C2312yes—
391Q8×Dic73C2312yes—
392Q8×Dic73C2312yes—
393Q8×Dic73C2314yes—
394C4×Dic146C2312yes—
395C4×Dic146C2312yes—
396C4×Dic146C2314yes—
397#14556556C2312yes—
398#14556556C2312yes—
399#14556556C2312yes—
400#14556556C2312yes—
401C4×D292C2312yes—
402C4×D292C2312yes—
403C4×D292C2314yes—
404C4×D292C2314yes—
405C4×D292C2312yes—
406C4×D292C2312yes—
407C4×D292C2314yes—
408D4×Dic73C2312yes—
409D4×Dic73C2314yes—
410D4×Dic73C2312yes—
411D4×Dic73C2318yes—
412D4×Dic73C2312yes—
413D4×Dic73C2312yes—
414D4×Dic73C2312yes—
415D4×Dic73C2312yes—
416D4×Dic73C2314yes—
417D4×Dic73C2318yes—
418D4×Dic73C2314yes—
419#14556553C2312yes—
420#14556553C2318yes—
421#14556553C2314yes—
422#14556553C2312yes—
423#14556553C2312yes—
424#14556553C2314yes—
425#14556553C2312yes—
426#14556553C2312yes—
427#14556553C2312yes—
428#14556553C2314yes—
429#14556553C2314yes—
430#14556553C2318yes—
431C4×C22⋊D73C2314yes—
432C4×C22⋊D73C2314yes—
433C4×C22⋊D73C2318yes—
434C4×C22⋊D73C2318yes—
435C4×C22⋊D73C2314yes—
436C4×C22⋊D73C2314yes—
437#14556551C2314yes—
438#14556551C2318yes—
439#14556551C2314yes—
440#14556551C2318yes—
441#14556551C2314yes—
442#14556551C2314yes—
443#14556551C2314yes—
444#14556551C2314yes—
445#14556550C2312yes—
446#14556550C2314yes—
447#14556550C2314yes—
448#14556550C2318yes—
449#14556549C2314yes—
450#14556549C2318yes—
451#14556549C2314yes—
452#14556549C2312yes—
453#14556549C2312yes—
454#14556549C2312yes—
455#14556549C2312yes—
456#14556549C2318yes—
457#14556549C2314yes—
458#14556549C2314yes—
459#14556549C2314yes—
460#14556548C2314yes—
461#14556547C2318yes—
462#14556547C2314yes—
463#14556547C2314yes—
464C2×C4⋊Dic73C2314yes—
465C4⋊C4×D73C2312yes—
466C4⋊C4×D73C2312yes—
467C4⋊C4×D73C2314yes—
468C2×#11924005C2318yes—
469C2×#11924005C2318yes—
470C22⋊C4×D73C2318yes—
471C22⋊C4×D73C2314yes—
472C22⋊C4×D73C2314yes—
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2318yes—
476C2×C4×Dic73C2314yes—
477C2×C4×Dic73C2311yescharacteristic
478C42×D73C2311yescharacteristic
479C42×D73C2311yescharacteristic
480C42×D73C2314yes—
481C42×D73C2311yescharacteristic
482C42×D73C2311yescharacteristic
483C42×D73C2311yescharacteristic
484C42×D73C2311yescharacteristic
485C42×D73C2311yescharacteristic
486C42×D73C2311yescharacteristic
487C2×#41×C73C2312yes—
488C2×#41×C73C2312yes—
489C2×#41×C73C2314yes—
490C2×#41×C73C2314yes—
491C4⋊Q8×C73C2311yescharacteristic
492C4⋊Q8×C73C2311yescharacteristic
493C4⋊Q8×C73C2311yescharacteristic
494C4⋊Q8×C73C2311yescharacteristic
495#127×C73C2311yescharacteristic
496#127×C73C2311yescharacteristic
497#127×C73C2314yes—
498#125×C73C2312yes—
499#125×C73C2314yes—
500#124×C73C2312yes—
501#124×C73C2312yes—
502#123×C73C2318yes—
503#123×C73C2318yes—
504C22⋊Q8×C73C2312yes—
505C22⋊Q8×C73C2312yes—
506C22⋊Q8×C73C2314yes—
507C22⋊Q8×C73C2318yes—
508C22⋊Q8×C73C2314yes—
509C22⋊Q8×C73C2318yes—
510#121×C73C2318yes—
511#121×C73C2318yes—
512#121×C73C2312yes—
513#121×C73C2312yes—
514#121×C73C2314yes—
515#121×C73C2312yes—
516#121×C73C2312yes—
517#121×C73C2318yes—
518#121×C73C2314yes—
519#121×C73C2318yes—
520C4×Q8×C73C2312yes—
521C4×Q8×C73C2312yes—
522C4×D4×C73C2312yes—
523C4×D4×C73C2312yes—
524C4×D4×C73C2314yes—
525C4×D4×C73C2314yes—
526C4×D4×C73C2312yes—
527C4×D4×C73C2312yes—
528#117×C73C2312yes—
529C2×C4⋊C4×C73C2314yes—
530C2×C4⋊C4×C73C2314yes—
531C2×C42×C73C2311yescharacteristic
532C23×D73C2414yes—
533C23×D73C2411yescharacteristic
534C23×D73C2418yes—
535#11924029—28no—
536#11924029—44no—
537#11924029—44no—
538#11924028—48no—
539#11924028—44no—
540#11924028—48no—
541#11924028—44no—
542#11924028—416no—
543#11924027—28no—
544#11924027—44no—
545#11924027—48no—
546#11924027—48no—
547#11924027—44no—
548#11924027—416no—
549C2×Dic146C2412yes—
550C2×Dic146C2412yes—
551C2×Dic146C2412yes—
552C2×Dic146C2418yes—
553C2×Dic146C2414yes—
554C2×Dic146C2412yes—
555Q8×D73—48no—
556Q8×D73—44no—
557C2×D292—48no—
558C2×D292C2412yes—
559C2×D292C2412yes—
560C2×D292C2412yes—
561C2×D292C2414yes—
562C2×D292C2412yes—
563C2×D292C2412yes—
564C2×D292C2418yes—
565C2×D292C2414yes—
566C2×D292C2412yes—
567C2×D292C2414yes—
568C2×C22⋊D73C2414yes—
569C2×C22⋊D73C2414yes—
570C2×C22⋊D73C2418yes—
571C2×C22⋊D73C2418yes—
572C2×C22⋊D73C2414yes—
573C2×C22⋊D73C2414yes—
574C2×C22⋊D73C2414yes—
575C2×C22⋊D73C2414yes—
576C2×C22⋊D73C2414yes—
577C2×C22⋊D73C2418yes—
578C2×C22⋊D73C2418yes—
579C2×C22⋊D73C2414yes—
580D4×D73—44no—
581D4×D73—44no—
582D4×D73—48no—
583D4×D73—48no—
584D4×D73—44no—
585D4×D73—48no—
586D4×D73—416no—
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2414yes—
589C22×Dic73C2414yes—
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
592C22×Dic73C2414yes—
593C22×Dic73C2418yes—
594C2×C4×D73—24no—
595C2×C4×D73—216no—
596C2×C4×D73—416no—
597C2×C4×D73—42no—
598C2×C4×D73—42no—
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604C2×C4×D73C2411yescharacteristic
605C2×C4×D73C2411yescharacteristic
606C2×C4×D73C2414yes—
607C2×C4×D73C2414yes—
608C2×C4×D73C2414yes—
609C2×C4×D73C2414yes—
610C2×C4×D73C2414yes—
611C2×C4×D73C2411yescharacteristic
612C2×C4×D73C2411yescharacteristic
613C2×C4×D73C2411yescharacteristic
614C2×C4×D73C2411yescharacteristic
615C2×C4×D73C2414yes—
616C2×C4×D73C2418yes—
617C2×C4×D73C2418yes—
618C2×C4×D73C2411yescharacteristic
619C4⋊Dic73C2412yes—
620C4⋊Dic73C2412yes—
621C4⋊Dic73C2412yes—
622C4⋊Dic73C2412yes—
623C4⋊Dic73C2412yes—
624C4⋊Dic73C2418yes—
625C4⋊Dic73C2412yes—
626C4⋊Dic73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2418yes—
629C4⋊Dic73C2412yes—
630C4⋊Dic73C2412yes—
631C4⋊Dic73C2414yes—
632C4⋊Dic73C2414yes—
633#11924007C2414yes—
634#11924007C2414yes—
635#11924007C2418yes—
636#11924007C2414yes—
637#11924007C2414yes—
638#11924007C2418yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642#11924007C2414yes—
643C22⋊Dic73C2414yes—
644C22⋊Dic73C2414yes—
645C22⋊Dic73C2414yes—
646C22⋊Dic73C2414yes—
647C22⋊Dic73C2414yes—
648C22⋊Dic73C2418yes—
649C22⋊Dic73C2414yes—
650C22⋊Dic73C2418yes—
651C22⋊Dic73C2414yes—
652#11924005C2414yes—
653#11924005C2414yes—
654#11924005C2414yes—
655#11924005C2418yes—
656#11924005C2414yes—
657#11924005C2414yes—
658#11924005C2414yes—
659#11924005C2414yes—
660#11924005C2418yes—
661#11924005C2418yes—
662#11924005C2418yes—
663#11924005C2418yes—
664#11924005C2414yes—
665#11924005C2414yes—
666#11924005C2418yes—
667#11924005C2414yes—
668#11924005C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672C4×Dic73C2411yescharacteristic
673C4×Dic73C2411yescharacteristic
674C4×Dic73C2411yescharacteristic
675C4×Dic73C2411yescharacteristic
676C4×Dic73C2411yescharacteristic
677C4×Dic73C2411yescharacteristic
678C4×Dic73C2411yescharacteristic
679C4×Dic73C2411yescharacteristic
680C4×Dic73C2411yescharacteristic
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683C4×Dic73C2411yescharacteristic
684C4×Dic73C2414yes—
685C4×Dic73C2414yes—
686C4×Dic73C2414yes—
687C4×Dic73C2418yes—
688C4×Dic73C2414yes—
689C4×Dic73C2418yes—
690C4×Dic73C2414yes—
691#41×C73—44no—
692#41×C73—44no—
693#41×C73—48no—
694#41×C73—48no—
695C2×Q8×C73C2412yes—
696C2×Q8×C73C2412yes—
697C2×Q8×C73C2412yes—
698C2×Q8×C73C2412yes—
699C2×D4×C73C2412yes—
700C2×D4×C73C2412yes—
701C2×D4×C73C2412yes—
702C2×D4×C73C2412yes—
703C2×D4×C73C2414yes—
704C2×D4×C73C2414yes—
705C2×D4×C73C2418yes—
706C2×D4×C73C2418yes—
707C2×D4×C73C2412yes—
708C2×D4×C73C2412yes—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2414yes—
713C22×C4×C73C2414yes—
714C22×C4×C73C2418yes—
715C22×C4×C73C2418yes—
716C4⋊C4×C73C2412yes—
717C4⋊C4×C73C2412yes—
718C4⋊C4×C73C2412yes—
719C4⋊C4×C73C2412yes—
720C4⋊C4×C73C2418yes—
721C4⋊C4×C73C2418yes—
722C4⋊C4×C73C2412yes—
723C4⋊C4×C73C2412yes—
724C4⋊C4×C73C2412yes—
725C4⋊C4×C73C2412yes—
726C4⋊C4×C73C2414yes—
727C4⋊C4×C73C2414yes—
728C22⋊C4×C73C2414yes—
729C22⋊C4×C73C2418yes—
730C22⋊C4×C73C2418yes—
731C22⋊C4×C73C2414yes—
732C22⋊C4×C73C2414yes—
733C22⋊C4×C73C2414yes—
734C22⋊C4×C73C2414yes—
735C42×C73C2411yescharacteristic
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C42×C73C2411yescharacteristic
739C42×C73C2414yes—
740C23×C73C2514yes—
741C23×C73C2514yes—
742C23×C73C2511yescharacteristic
743C22×D73—22no—
744C22×D73—28no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—48no—
748C22×D73—44no—
749C22×D73—44no—
750C22×D73—48no—
751C22×D73—48no—
752C22×D73C2514yes—
753C22×D73C2514yes—
754C22×D73C2511yescharacteristic
755C22×D73C2511yescharacteristic
756Q8×C73—24no—
757Q8×C73—24no—
758Q8×C73—42no—
759Q8×C73—42no—
760D4×C73—24no—
761D4×C73—24no—
762D4×C73—24no—
763D4×C73—24no—
764D4×C73—42no—
765D4×C73—48no—
766D4×C73—44no—
767D4×C73—42no—
768D4×C73—48no—
769D4×C73—44no—
770C2×C4×C73—22no—
771C2×C4×C73—28no—
772C2×C4×C73—22no—
773C2×C4×C73—28no—
774C2×C4×C73—22no—
775C2×C4×C73—48no—
776C2×C4×C73—48no—
777C2×C4×C73C2511yescharacteristic
778C2×C4×C73C2511yescharacteristic
779C2×C4×C73C2511yescharacteristic
780C2×C4×C73C2514yes—
781C2×C4×C73C2514yes—
782C2×C4×C73C2514yes—
783C2×C4×C73C2514yes—
784C2×C4×C73C2511yescharacteristic
785C2×C4×C73C2511yescharacteristic
786C2×C4×C73C2511yescharacteristic
787C22⋊D73—28no—
788C22⋊D73—48no—
789C22⋊D73—44no—
790C22⋊D73—44no—
791C22⋊D73—48no—
792C22⋊D73—44no—
793C22⋊D73—44no—
794C22⋊D73—44no—
795C22⋊D73—48no—
796C22⋊D73—44no—
797C22⋊D73—48no—
798C22⋊D73—44no—
799C2×Dic73—22no—
800C2×Dic73—28no—
801C2×Dic73—28no—
802C2×Dic73—41no—
803C2×Dic73—41no—
804C2×Dic73—48no—
805C2×Dic73—44no—
806C2×Dic73C2511yescharacteristic
807C2×Dic73C2511yescharacteristic
808C2×Dic73C2514yes—
809C2×Dic73C2514yes—
810C2×Dic73C2511yescharacteristic
811C2×Dic73C2511yescharacteristic
812C2×Dic73C2511yescharacteristic
813C2×Dic73C2514yes—
814C2×Dic73C2514yes—
815C2×Dic73C2511yescharacteristic
816D292—28no—
817D292—24no—
818D292—24no—
819D292—24no—
820D292—24no—
821D292—42no—
822D292—44no—
823D292—48no—
824D292—42no—
825D292—44no—
826C4×D73—22no—
827C4×D73—28no—
828C4×D73—28no—
829C4×D73—22no—
830C4×D73—22no—
831C4×D73—22no—
832C4×D73—22no—
833C4×D73—22no—
834C4×D73—28no—
835C4×D73—28no—
836C4×D73—22no—
837C4×D73—28no—
838C4×D73—41no—
839C4×D73—41no—
840C4×D73—41no—
841C4×D73—41no—
842C4×D73—48no—
843C4×D73—48no—
844C4×D73—44no—
845C4×D73H(5,𝔽2)14yes—
846Dic146—24no—
847Dic146—24no—
848Dic146—48no—
849Dic146—42no—
850Dic146—44no—
851Dic146—42no—
852C22×C73—24no—
853C22×C73—21no—
854C22×C73—24no—
855C22×C73—24no—
856C22×C73—21no—
857C22×C73—24no—
858C22×C73—21no—
859C22×C73—24no—
860C22×C73—24no—
861C22×C73C2611yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—24no—
865C2×D73—21no—
866C2×D73—24no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—24no—
870C2×D73—24no—
871C2×D73—24no—
872C2×D73—24no—
873C2×D73—44no—
874C2×D73—88no—
875C2×D73—816no—
876C2×D73C2×H(5,𝔽2)12yes—
877C4×C73—21no—
878C4×C73—24no—
879C4×C73—24no—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—24no—
883C4×C73—24no—
884C4×C73C2×H(5,𝔽2)12yes—
885C4×C73#58512yes—
886C4×C73#58512yes—
887Dic73—24no—
888Dic73—21no—
889Dic73—24no—
890Dic73—24no—
891Dic73—24no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73C2×H(5,𝔽2)12yes—
897#62759—731nomaximal, Sylow
898C2×C73—41no—
899C2×C73—44no—
900C2×C73—44no—
901C2×C73C22×H(5,𝔽2)11yescharacteristic
902C2×C73C2×#58511yescharacteristic
903C2×C73C2×#58511yescharacteristic
904D73—22no—
905D73—41no—
906D73—44no—
907D73—44no—
908#3551—734no—
909#3550—731no—
910#3549—731no—
911#3548—731no—
912#3548D7311yescharacteristic, complemented
913#3547—732no—
914#3547—732no—
915#3546—732no—
916#3546—732no—
917#3545—734no—
918#3544—732no—
919#3543—732no—
920#3542—734no—
921#3542—734no—
922#3529—734no—
923#3483—732no—
924#3481—732no—
925#3475—732no—
926#3475—732no—
927D4×#41—732no—
928D4×#41—732no—
929#3460—734no—
930#3460—734no—
931#3449—734no—
932#3444—731no—
933#3444—731no—
934C2×#532—731no—
935C73#6275911yescharacteristic, complemented, Sylow
936C22×#41—732no—
937C22×#41—734no—
938#563—734no—
939#563—738no—
940#562—734no—
941#562—738no—
942#562—738no—
943#562C2×D7314yescomplemented
944H(3,𝔽4)—734no—
945#560—738no—
946#560—738no—
947#560—738no—
948#559—732no—
949Q82—732no—
950#556—732no—
951#556—732no—
952#555—732no—
953#555—734no—
954#555—738no—
955#555—732no—
956#555—734no—
957#555—732no—
958#554—732no—
959#554—732no—
960#554C2×D7312yescomplemented
961#554C2×D7312yescomplemented
962#553—734no—
963#553—734no—
964#553—734no—
965#553—734no—
966#552—734no—
967#552—734no—
968#552—734no—
969#552—734no—
970#551—738no—
971#551—738no—
972#551—738no—
973#550—734no—
974#550—734no—
975#550—732no—
976#550—732no—
977#550C2×D7312yescomplemented
978#550C2×D7312yescomplemented
979D4×Q8—732no—
980D4×Q8—732no—
981#548—734no—
982#548—734no—
983#547—732no—
984#547—734no—
985#547—732no—
986#547—734no—
987#547C2×D7312yescomplemented
988#547C2×D7312yescomplemented
989#546—734no—
990#546—734no—
991#546—738no—
992#546—734no—
993#546—738no—
994#546—734no—
995#546—734no—
996#546—734no—
997D42—734no—
998D42—732no—
999D42—734no—
1000D42—732no—
1001D42—732no—
1002#544—734no—
1003#544—734no—
1004#542—738no—
1005#542—734no—
1006#542—734no—
1007#542—738no—
1008#542—734no—
1009#542—734no—
1010#540—738no—
1011#540—734no—
1012#540—738no—
1013#540—734no—
1014#540—734no—
1015#540C2×D7314yescomplemented
1016#538—738no—
1017#538—738no—
1018#538—738no—
1019#538—738no—
1020#537—734no—
1021#537—734no—
1022#537—734no—
1023#537—734no—
1024#537C2×D7314yescomplemented
1025#537C2×D7314yescomplemented
1026#536—738no—
1027#536—734no—
1028#536—734no—
1029#535—734no—
1030#535—734no—
1031#535—734no—
1032#535—738no—
1033#535—734no—
1034#535—734no—
1035#535—734no—
1036#534—738no—
1037#534—738no—
1038#533—731no—
1039#533—731no—
1040#533—731no—
1041#533—731no—
1042#533—731no—
1043#533C2×D7311yescharacteristic, complemented
1044#532—732no—
1045#532—731no—
1046#532—731no—
1047#532—731no—
1048#532—731no—
1049#532—731no—
1050#532—731no—
1051#532—734no—
1052#532—732no—
1053#532—732no—
1054#532—732no—
1055#532—738no—
1056#532—738no—
1057#532—734no—
1058#532—732no—
1059#532—732no—
1060#532—731no—
1061#532—731no—
1062#532C2×D7311yescharacteristic, complemented
1063#532C2×D7311yescharacteristic, complemented
1064C2×C4⋊Q8—731no—
1065C2×#127—731no—
1066#529—732no—
1067#529—732no—
1068#529—734no—
1069#529—732no—
1070#529—732no—
1071#529—738no—
1072#529—732no—
1073#529—732no—
1074#529—734no—
1075#529—738no—
1076#529—732no—
1077#529—732no—
1078#529—732no—
1079#529—732no—
1080#529—732no—
1081#529—732no—
1082C2×#124—732no—
1083#525—732no—
1084#525—738no—
1085#525—732no—
1086#525—732no—
1087#525—734no—
1088#525—738no—
1089#525—732no—
1090#525—732no—
1091#525—738no—
1092#525—734no—
1093#525—738no—
1094#525—732no—
1095C2×#121—732no—
1096C2×#121—732no—
1097C4×#41—732no—
1098C4×#41—734no—
1099C4×#41—732no—
1100C4×#41—732no—
1101C4×#41—732no—
1102C4×#41—732no—
1103C4×#41—734no—
1104C4×#41—732no—
1105C2×C4×D4—732no—
1106C2×C4×D4—732no—
1107C2×C4×D4—734no—
1108C2×C4×D4—734no—
1109C2×#117—734no—
1110C22×C42—731no—
1111C2×#41—29216no—
1112C2×#41—2928no—
1113C2×#41—732no—
1114C2×#41—732no—
1115C2×#41—732no—
1116C2×#41—732no—
1117C2×#41—734no—
1118C2×#41—734no—
1119C2×#41—738no—
1120C2×#41—732no—
1121C2×#41—732no—
1122C2×#41—732no—
1123C2×#41—732no—
1124C2×#41—734no—
1125C2×#41—738no—
1126C2×#41—734no—
1127C2×#41C22×D7312yes—
1128C2×#41C22×D7314yes—
1129C2×#41C22×D7312yes—
1130C2×#41C22×D7314yes—
1131C22×Q8—732no—
1132C22×Q8—734no—
1133C22×D4—732no—
1134C22×D4—732no—
1135C22×D4—734no—
1136C22×D4—734no—
1137C22×D4—732no—
1138C22×D4—738no—
1139C22×D4—734no—
1140C22×D4—734no—
1141C23×C4—738no—
1142C23×C4—731no—
1143C23×C4—731no—
1144C23×C4—734no—
1145C23×C4—731no—
1146C4⋊Q8—732no—
1147C4⋊Q8—732no—
1148C4⋊Q8—732no—
1149C4⋊Q8—738no—
1150C4⋊Q8—738no—
1151C4⋊Q8—734no—
1152C4⋊Q8—731no—
1153C4⋊Q8—731no—
1154C4⋊Q8—731no—
1155C4⋊Q8—731no—
1156C4⋊Q8—734no—
1157C4⋊Q8C22×D7311yescharacteristic
1158C4⋊Q8C22×D7311yescharacteristic
1159C4⋊Q8C22×D7311yescharacteristic
1160C4⋊Q8C22×D7311yescharacteristic
1161#127—732no—
1162#127—732no—
1163#127—732no—
1164#127—738no—
1165#127—738no—
1166#127—734no—
1167#127—731no—
1168#127—731no—
1169#127C22×D7311yescharacteristic
1170#127C22×D7311yescharacteristic
1171#127C22×D7314yes—
1172#126—734no—
1173#126—734no—
1174#126—738no—
1175#126—738no—
1176#126—738no—
1177#126—738no—
1178#126—738no—
1179#126—734no—
1180#126—734no—
1181#126—738no—
1182#125—732no—
1183#125—732no—
1184#125—732no—
1185#125—732no—
1186#125—738no—
1187#125—738no—
1188#125—734no—
1189#125—732no—
1190#125C22×D7312yes—
1191#125C22×D7314yes—
1192#124—732no—
1193#124—732no—
1194#124—732no—
1195#124—734no—
1196#124—738no—
1197#124—732no—
1198#124—732no—
1199#124—732no—
1200#124—738no—
1201#124—734no—
1202#124—734no—
1203#124—738no—
1204#124—738no—
1205#124—738no—
1206#124—738no—
1207#124—738no—
1208#124—738no—
1209#124—732no—
1210#124—732no—
1211#124—734no—
1212#124C22×D7312yes—
1213#124C22×D7312yes—
1214#123—734no—
1215#123—738no—
1216#123—738no—
1217#123—734no—
1218#123—734no—
1219#123—738no—
1220#123—738no—
1221#123—738no—
1222#123—738no—
1223#123—734no—
1224#123—734no—
1225#123—734no—
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#123C22×D7318yes—
1235#123C22×D7318yes—
1236C22⋊Q8—732no—
1237C22⋊Q8—732no—
1238C22⋊Q8—732no—
1239C22⋊Q8—732no—
1240C22⋊Q8—734no—
1241C22⋊Q8—738no—
1242C22⋊Q8—732no—
1243C22⋊Q8—732no—
1244C22⋊Q8—738no—
1245C22⋊Q8—734no—
1246C22⋊Q8—738no—
1247C22⋊Q8—732no—
1248C22⋊Q8—732no—
1249C22⋊Q8—732no—
1250C22⋊Q8—732no—
1251C22⋊Q8—738no—
1252C22⋊Q8—734no—
1253C22⋊Q8—738no—
1254C22⋊Q8—738no—
1255C22⋊Q8—738no—
1256C22⋊Q8—734no—
1257C22⋊Q8—738no—
1258C22⋊Q8C22×D7312yes—
1259C22⋊Q8C22×D7312yes—
1260C22⋊Q8C22×D7314yes—
1261C22⋊Q8C22×D7318yes—
1262C22⋊Q8C22×D7314yes—
1263C22⋊Q8C22×D7318yes—
1264#121—734no—
1265#121—734no—
1266#121—732no—
1267#121—732no—
1268#121—732no—
1269#121—732no—
1270#121—732no—
1271#121—732no—
1272#121—738no—
1273#121—734no—
1274#121—738no—
1275#121—738no—
1276#121—738no—
1277#121—738no—
1278#121—738no—
1279#121—738no—
1280#121—734no—
1281#121—734no—
1282#121—738no—
1283#121—738no—
1284#121—732no—
1285#121—732no—
1286#121—732no—
1287#121—732no—
1288#121—734no—
1289#121—738no—
1290#121—734no—
1291#121—738no—
1292#121—738no—
1293#121—738no—
1294#121—734no—
1295#121—732no—
1296#121—732no—
1297#121—732no—
1298#121—732no—
1299#121—732no—
1300#121—732no—
1301#121—734no—
1302#121—738no—
1303#121—734no—
1304#121—734no—
1305#121—734no—
1306#121—738no—
1307#121—738no—
1308#121C22×D7312yes—
1309#121C22×D7312yes—
1310#121C22×D7312yes—
1311#121C22×D7312yes—
1312#121C22×D7318yes—
1313#121C22×D7314yes—
1314#121C22×D7318yes—
1315#121C22×D7318yes—
1316#121C22×D7318yes—
1317#121C22×D7314yes—
1318#120—734no—
1319#120—738no—
1320#120—738no—
1321#120—738no—
1322#120—738no—
1323#120—738no—
1324#120—738no—
1325#120—734no—
1326#120—738no—
1327#120—738no—
1328#120—738no—
1329#120—738no—
1330C4×Q8—732no—
1331C4×Q8—732no—
1332C4×Q8—732no—
1333C4×Q8—732no—
1334C4×Q8—734no—
1335C4×Q8—732no—
1336C4×Q8—732no—
1337C4×Q8—732no—
1338C4×Q8—732no—
1339C4×Q8—732no—
1340C4×Q8—732no—
1341C4×Q8—734no—
1342C4×Q8C22×D7312yes—
1343C4×Q8C22×D7312yes—
1344C4×D4—732no—
1345C4×D4—732no—
1346C4×D4—732no—
1347C4×D4—732no—
1348C4×D4—738no—
1349C4×D4—734no—
1350C4×D4—734no—
1351C4×D4—732no—
1352C4×D4—732no—
1353C4×D4—738no—
1354C4×D4—734no—
1355C4×D4—734no—
1356C4×D4—734no—
1357C4×D4—738no—
1358C4×D4—734no—
1359C4×D4—734no—
1360C4×D4—738no—
1361C4×D4—732no—
1362C4×D4—732no—
1363C4×D4—732no—
1364C4×D4—738no—
1365C4×D4—734no—
1366C4×D4—734no—
1367C4×D4—738no—
1368C4×D4—732no—
1369C4×D4—734no—
1370C4×D4—734no—
1371C4×D4—732no—
1372C4×D4—732no—
1373C4×D4—738no—
1374C4×D4—734no—
1375C4×D4—734no—
1376C4×D4—738no—
1377C4×D4—734no—
1378C4×D4—734no—
1379C4×D4—734no—
1380C4×D4—734no—
1381C4×D4—732no—
1382C4×D4—732no—
1383C4×D4—734no—
1384C4×D4—734no—
1385C4×D4—734no—
1386C4×D4—732no—
1387C4×D4—732no—
1388C4×D4C22×D7312yes—
1389C4×D4C22×D7312yes—
1390C4×D4C22×D7314yes—
1391C4×D4C22×D7312yes—
1392C4×D4C22×D7312yes—
1393C4×D4C22×D7314yes—
1394#117—732no—
1395#117—734no—
1396#117—734no—
1397#117—738no—
1398#117—732no—
1399#117—732no—
1400#117—738no—
1401#117—738no—
1402#117—734no—
1403#117—734no—
1404#117—734no—
1405#117—732no—
1406#117—732no—
1407#117—734no—
1408#117—734no—
1409#117—734no—
1410#117—734no—
1411#117—738no—
1412#117—734no—
1413#117C22×D7312yes—
1414C2×C4⋊C4—734no—
1415C2×C4⋊C4—732no—
1416C2×C4⋊C4—732no—
1417C2×C4⋊C4—734no—
1418C2×C4⋊C4C22×D7314yes—
1419C2×C4⋊C4C22×D7314yes—
1420C2×C22⋊C4—738no—
1421C2×C22⋊C4—738no—
1422C2×C22⋊C4—734no—
1423C2×C22⋊C4—734no—
1424C2×C22⋊C4—738no—
1425C2×C42—738no—
1426C2×C42—734no—
1427C2×C42—731no—
1428C2×C42—731no—
1429C2×C42—731no—
1430C2×C42—731no—
1431C2×C42—731no—
1432C2×C42—734no—
1433C2×C42—731no—
1434C2×C42—731no—
1435C2×C42—731no—
1436C2×C42—731no—
1437C2×C42—731no—
1438C2×C42—731no—
1439C2×C42C22×D7311yescharacteristic
1440C24—738no—
1441C24—734no—
1442C24—731no—
1443#41—44no—
1444#41—44no—
1445#41—48no—
1446#41—48no—
1447#41—2928no—
1448#41—2924no—
1449#41—2928no—
1450#41—2924no—
1451#41—29216no—
1452#41—2924no—
1453#41—2928no—
1454#41—2924no—
1455#41—2928no—
1456#41—29216no—
1457#41—2924no—
1458#41—2924no—
1459#41—1468no—
1460#41—1468no—
1461C2×Q8—2928no—
1462C2×Q8—2924no—
1463C2×Q8—732no—
1464C2×Q8—734no—
1465C2×Q8—738no—
1466C2×Q8—732no—
1467C2×Q8—732no—
1468C2×Q8—732no—
1469C2×Q8C23×D7312yes—
1470C2×Q8C23×D7312yes—
1471C2×Q8C23×D7312yes—
1472C2×Q8C23×D7312yes—
1473C2×D4—2928no—
1474C2×D4—29216no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2928no—
1478C2×D4—2928no—
1479C2×D4—2924no—
1480C2×D4—2928no—
1481C2×D4—738no—
1482C2×D4—734no—
1483C2×D4—738no—
1484C2×D4—734no—
1485C2×D4—734no—
1486C2×D4—734no—
1487C2×D4—734no—
1488C2×D4—734no—
1489C2×D4—738no—
1490C2×D4—738no—
1491C2×D4—734no—
1492C2×D4—734no—
1493C2×D4—732no—
1494C2×D4—738no—
1495C2×D4—734no—
1496C2×D4—732no—
1497C2×D4—734no—
1498C2×D4—732no—
1499C2×D4—732no—
1500C2×D4—732no—
1501C2×D4—734no—
1502C2×D4—732no—
1503C2×D4C23×D7312yes—
1504C2×D4C23×D7312yes—
1505C2×D4C23×D7312yes—
1506C2×D4C23×D7312yes—
1507C2×D4C23×D7312yes—
1508C2×D4C23×D7318yes—
1509C2×D4C23×D7314yes—
1510C2×D4C23×D7318yes—
1511C2×D4C23×D7314yes—
1512C2×D4C23×D7312yes—
1513C22×C4—2922no—
1514C22×C4—2922no—
1515C22×C4—29216no—
1516C22×C4—731no—
1517C22×C4—731no—
1518C22×C4—734no—
1519C22×C4—738no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—731no—
1524C22×C4—734no—
1525C22×C4—738no—
1526C22×C4—738no—
1527C22×C4—731no—
1528C22×C4—734no—
1529C22×C4—731no—
1530C22×C4—734no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—734no—
1539C22×C4—734no—
1540C22×C4—734no—
1541C22×C4—734no—
1542C22×C4—734no—
1543C22×C4—14616no—
1544C22×C4—1464no—
1545C22×C4C23×D7311yescharacteristic
1546C22×C4C23×D7311yescharacteristic
1547C22×C4C23×D7311yescharacteristic
1548C22×C4C23×D7314yes—
1549C22×C4C23×D7314yes—
1550C22×C4C23×D7318yes—
1551C22×C4C23×D7318yes—
1552C4⋊C4—734no—
1553C4⋊C4—734no—
1554C4⋊C4—738no—
1555C4⋊C4—734no—
1556C4⋊C4—734no—
1557C4⋊C4—734no—
1558C4⋊C4—738no—
1559C4⋊C4—734no—
1560C4⋊C4—734no—
1561C4⋊C4—734no—
1562C4⋊C4—732no—
1563C4⋊C4—732no—
1564C4⋊C4—732no—
1565C4⋊C4—732no—
1566C4⋊C4—732no—
1567C4⋊C4—738no—
1568C4⋊C4—732no—
1569C4⋊C4—734no—
1570C4⋊C4—734no—
1571C4⋊C4—734no—
1572C4⋊C4—738no—
1573C4⋊C4—734no—
1574C4⋊C4—732no—
1575C4⋊C4—732no—
1576C4⋊C4C23×D7312yes—
1577C4⋊C4C23×D7312yes—
1578C4⋊C4C23×D7312yes—
1579C4⋊C4C23×D7312yes—
1580C4⋊C4C23×D7312yes—
1581C4⋊C4C23×D7318yes—
1582C4⋊C4C23×D7318yes—
1583C4⋊C4C23×D7312yes—
1584C4⋊C4C23×D7314yes—
1585C4⋊C4C23×D7314yes—
1586C4⋊C4C23×D7312yes—
1587C4⋊C4C23×D7312yes—
1588C22⋊C4—734no—
1589C22⋊C4—734no—
1590C22⋊C4—734no—
1591C22⋊C4—734no—
1592C22⋊C4—738no—
1593C22⋊C4—734no—
1594C22⋊C4—734no—
1595C22⋊C4—738no—
1596C22⋊C4—734no—
1597C22⋊C4—734no—
1598C22⋊C4—734no—
1599C22⋊C4—734no—
1600C22⋊C4—734no—
1601C22⋊C4—734no—
1602C22⋊C4—738no—
1603C22⋊C4—738no—
1604C22⋊C4—738no—
1605C22⋊C4—738no—
1606C22⋊C4—734no—
1607C22⋊C4—734no—
1608C22⋊C4—738no—
1609C22⋊C4—734no—
1610C22⋊C4—734no—
1611C22⋊C4—738no—
1612C22⋊C4—734no—
1613C22⋊C4—734no—
1614C22⋊C4—734no—
1615C22⋊C4—734no—
1616C22⋊C4—734no—
1617C22⋊C4C23×D7318yes—
1618C22⋊C4C23×D7314yes—
1619C22⋊C4C23×D7314yes—
1620C22⋊C4C23×D7314yes—
1621C22⋊C4C23×D7314yes—
1622C22⋊C4C23×D7318yes—
1623C22⋊C4C23×D7314yes—
1624C42—731no—
1625C42—731no—
1626C42—731no—
1627C42—734no—
1628C42—734no—
1629C42—731no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—731no—
1636C42—731no—
1637C42—731no—
1638C42—738no—
1639C42—734no—
1640C42—734no—
1641C42—734no—
1642C42—738no—
1643C42C23×D7311yescharacteristic
1644C42C23×D7311yescharacteristic
1645C42C23×D7311yescharacteristic
1646C42C23×D7311yescharacteristic
1647C42C23×D7314yes—
1648C23—2921no—
1649C23—2921no—
1650C23—2928no—
1651C23—2928no—
1652C23—2924no—
1653C23—2924no—
1654C23—2928no—
1655C23—731no—
1656C23—734no—
1657C23—734no—
1658C23—731no—
1659C23—1462no—
1660C23—1468no—
1661C23C24×D7314yes—
1662C23C24×D7311yescharacteristic
1663C23C24×D7314yes—
1664Q8—24no—
1665Q8—24no—
1666Q8—42no—
1667Q8—42no—
1668Q8—2924no—
1669Q8—2922no—
1670Q8—2928no—
1671Q8—2922no—
1672Q8—1464no—
1673Q8—1464no—
1674D4—24no—
1675D4—24no—
1676D4—24no—
1677D4—24no—
1678D4—44no—
1679D4—42no—
1680D4—48no—
1681D4—44no—
1682D4—42no—
1683D4—48no—
1684D4—2924no—
1685D4—2922no—
1686D4—2928no—
1687D4—2924no—
1688D4—2922no—
1689D4—2928no—
1690D4—2924no—
1691D4—2924no—
1692D4—2924no—
1693D4—2928no—
1694D4—2924no—
1695D4—2924no—
1696D4—2928no—
1697D4—2928no—
1698D4—2924no—
1699D4—2924no—
1700D4—1468no—
1701D4—1468no—
1702D4—1464no—
1703D4—1464no—
1704D4—1464no—
1705D4—1464no—
1706C2×C4—28no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—28no—
1710C2×C4—22no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—2928no—
1714C2×C4—2928no—
1715C2×C4—2921no—
1716C2×C4—2921no—
1717C2×C4—2921no—
1718C2×C4—2921no—
1719C2×C4—2924no—
1720C2×C4—2921no—
1721C2×C4—2921no—
1722C2×C4—2924no—
1723C2×C4—2928no—
1724C2×C4—731no—
1725C2×C4—734no—
1726C2×C4—731no—
1727C2×C4—731no—
1728C2×C4—734no—
1729C2×C4—734no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—734no—
1734C2×C4—734no—
1735C2×C4—1468no—
1736C2×C4—1468no—
1737C2×C4—1462no—
1738C2×C4—1462no—
1739C2×C4—1468no—
1740C2×C4—1468no—
1741C2×C4—1462no—
1742C2×C4—1468no—
1743C2×C4—1468no—
1744C2×C4—1462no—
1745C2×C4—1462no—
1746C2×C4—1462no—
1747C2×C4—1462no—
1748C2×C4—1462no—
1749C2×C4—1468no—
1750C2×C4C24×D7314yes—
1751C2×C4C24×D7314yes—
1752C2×C4C24×D7311yescharacteristic
1753C2×C4C24×D7311yescharacteristic
1754C2×C4C24×D7311yescharacteristic
1755C2×C4C24×D7314yes—
1756C2×C4C24×D7314yes—
1757C2×C4C24×D7311yescharacteristic
1758C2×C4C24×D7311yescharacteristic
1759C2×C4C24×D7311yescharacteristic
1760C22—21no—
1761C22—24no—
1762C22—24no—
1763C22—21no—
1764C22—24no—
1765C22—24no—
1766C22—21no—
1767C22—24no—
1768C22—24no—
1769C22—2924no—
1770C22—58416no—
1771C22—5848no—
1772C22—732no—
1773C22—1464no—
1774C22—1464no—
1775C22—1461no—
1776C22—1461no—
1777C22—1464no—
1778C22—1464no—
1779C22—1461no—
1780C22—1464no—
1781C22—1464no—
1782C22—1461no—
1783C22—1461no—
1784C22C25×D7311yescharacteristic
1785C4—24no—
1786C4—21no—
1787C4—24no—
1788C4—24no—
1789C4—21no—
1790C4—24no—
1791C4—21no—
1792C4—732no—
1793C4—1464no—
1794C4—1461no—
1795C4—1464no—
1796C4—1461no—
1797C4—1461no—
1798C4—1461no—
1799C4—1464no—
1800C4—1461no—
1801C4—1464no—
1802C4H(5,𝔽2)×D7312yes—
1803C4#1798942212yes—
1804C4#1798942412yes—
1805C2—41no—
1806C2—44no—
1807C2—44no—
1808C2—2921no—
1809C2—2924no—
1810C2—2924no—
1811C2—1462no—
1812C2C2×H(5,𝔽2)×D7311yescharacteristic
1813C2C2×#1798942211yescharacteristic
1814C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3548C2
hypercenter#3548D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3548

Complements

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

NH ≅ G/Ntype
1. #22624349C2semidirect
2. #22624342C2semidirect
3. #22624336C2semidirect
4. #22624329C2semidirect
5. #22624321C2semidirect
6. #22624308C2semidirect
7. #22624304C2semidirect
8. #22624291C2semidirect
9. #22624281C2semidirect
10. #22624272C2semidirect
11. #22624255C2semidirect
12. #22624253C2semidirect
13. #22624235C2semidirect
14. #22624068C2semidirect
15. #22623554C2semidirect
16. #22623542C2semidirect
17. #22623497C2semidirect
18. #22623494C2semidirect
19. #22623421C2semidirect
20. #22623418C2semidirect
21. #22623348C2semidirect
22. #22623346C2semidirect
23. #22623259C2semidirect
24. #22623228C2semidirect
25. #22623226C2semidirect
26. #532×D73C2semidirect
27. C73×#3548C2semidirect
28. C2×#41×D73C22semidirect
29. C2×#41×D73C22semidirect
30. #17989341C22semidirect
31. #17989338C22semidirect
32. #17989334C22semidirect
33. #17989333C22semidirect
34. #17989331C22semidirect
35. #17989329C22semidirect
36. #17989327C22semidirect
37. #17989325C22semidirect
38. #17989325C22semidirect
39. #17989322C22semidirect
40. Q8×Dic146C22semidirect
41. #17989311C22semidirect
42. #17989310C22semidirect
43. #17989303C22semidirect
44. #17989302C22semidirect
45. #17989302C22semidirect
46. #17989302C22semidirect
47. #17989301C22semidirect
48. #17989301C22semidirect
49. #17989298C22semidirect
50. #17989294C22semidirect
51. #17989290C22semidirect
52. #17989289C22semidirect
53. #17989285C22semidirect
54. #17989285C22semidirect
55. #17989279C22semidirect
56. #17989275C22semidirect
57. #17989272C22semidirect
58. #17989271C22semidirect
59. #17989264C22semidirect
60. #17989264C22semidirect
61. #17989260C22semidirect
62. #17989258C22semidirect
63. #17989257C22semidirect
64. #17989257C22semidirect
65. #17989256C22semidirect
66. Q8×D292C22semidirect
67. #17989252C22semidirect
68. #17989247C22semidirect
69. #17989244C22semidirect
70. #17989242C22semidirect
71. #17989242C22semidirect
72. #17989241C22semidirect
73. #17989238C22semidirect
74. #17989234C22semidirect
75. #17989234C22semidirect
76. #17989232C22semidirect
77. #17989232C22semidirect
78. #17989229C22semidirect
79. #17989228C22semidirect
80. #17989225C22semidirect
81. #17989225C22semidirect
82. D4×D292C22semidirect
83. D4×D292C22semidirect
84. #17989222C22semidirect
85. #17989222C22semidirect
86. #17989221C22semidirect
87. #17989218C22semidirect
88. #17989217C22semidirect
89. #17989210C22semidirect
90. #17989210C22semidirect
91. #17989210C22semidirect
92. #17989208C22semidirect
93. #17989205C22semidirect
94. #17989202C22semidirect
95. #17989190C22semidirect
96. #17989190C22semidirect
97. #17989190C22semidirect
98. #17989188C22semidirect
99. #17989187C22semidirect
100. #17989174C22semidirect
101. #17989174C22semidirect
102. #17989173C22semidirect
103. #17989169C22semidirect
104. #17989168C22semidirect
105. #17989166C22semidirect
106. #17989165C22semidirect
107. #17989165C22semidirect
108. #17989160C22semidirect
109. #17989160C22semidirect
110. #17989160C22semidirect
111. #17989153C22semidirect
112. #17989153C22semidirect
113. #17989153C22semidirect
114. #17989153C22semidirect
115. #17989151C22semidirect
116. #17989151C22semidirect
117. #17989150C22semidirect
118. #17989145C22semidirect
119. #17989145C22semidirect
120. #17989144C22semidirect
121. #17989142C22semidirect
122. #17989142C22semidirect
123. #17989142C22semidirect
124. #17989142C22semidirect
127. #17989138C22semidirect
129. #17989137C22semidirect
130. #17989136C22semidirect
132. #17989135C22semidirect
133. #17989135C22semidirect
134. #17989135C22semidirect
135. #17989134C22semidirect
136. #17989134C22semidirect
137. #17989133C22semidirect
138. #17989132C22semidirect
139. #17989132C22semidirect
140. #17989132C22semidirect
141. #17989132C22semidirect
142. #17989132C22semidirect
143. C4⋊Q8×D73C22semidirect
145. #17989124C22semidirect
146. #17989124C22semidirect
147. #17989123C22semidirect
148. #17989123C22semidirect
149. #17989123C22semidirect
150. #17989123C22semidirect
151. #17989122C22semidirect
152. #17989122C22semidirect
153. #17989122C22semidirect
154. #17989119C22semidirect
155. #17989119C22semidirect
156. #17989118C22semidirect
157. #17989118C22semidirect
158. #17989116C22semidirect
159. #17989116C22semidirect
160. #17989114C22semidirect
161. #124×D73C22semidirect
162. #17989100C22semidirect
163. #17989100C22semidirect
164. #17989100C22semidirect
165. #17989100C22semidirect
166. #17989099C22semidirect
167. #17989097C22semidirect
168. #17989097C22semidirect
169. #17989097C22semidirect
170. #17989097C22semidirect
171. #17989097C22semidirect
172. #17989095C22semidirect
173. #17989094C22semidirect
174. #121×D73C22semidirect
175. #121×D73C22semidirect
176. #41×Dic73C22semidirect
177. #41×Dic73C22semidirect
178. C4×#11924029C22semidirect
179. C4×#11924029C22semidirect
180. #17989055C22semidirect
181. C4×#11924027C22semidirect
182. C4×#11924027C22semidirect
183. C4×#11924027C22semidirect
184. C2×#14556553C22semidirect
185. C4×D4×D73C22semidirect
186. C4×D4×D73C22semidirect
187. C4×D4×D73C22semidirect
188. C2×#14556549C22semidirect
189. C2×C42×D73C22semidirect
190. #562×C73C22semidirect
191. #554×C73C22semidirect
192. #554×C73C22semidirect
193. #550×C73C22semidirect
194. #550×C73C22semidirect
195. #547×C73C22semidirect
196. #547×C73C22semidirect
197. #540×C73C22semidirect
198. #537×C73C22semidirect
199. #537×C73C22semidirect
200. #533×C73C22semidirect
201. #532×C73C22semidirect
202. #532×C73C22semidirect
912. #3548D73semidirect
935. C73#62759semidirect
943. #562C2×D73semidirect
960. #554C2×D73semidirect
961. #554C2×D73semidirect
977. #550C2×D73semidirect
978. #550C2×D73semidirect
987. #547C2×D73semidirect
988. #547C2×D73semidirect
1015. #540C2×D73semidirect
1024. #537C2×D73semidirect
1025. #537C2×D73semidirect
1043. #533C2×D73semidirect
1062. #532C2×D73semidirect
1063. #532C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243492
#226243422
#226243362
#226243292
#226243212
#226243082
#226243042
#226242912
#226242812
#226242722
#226242552
#226242532
#226242352
#226240682
#226235542
#226235422
#226234972
#226234942
#226234212
#226234182
#226233482
#226233462
#226232592
#226232282
#226232262
#532×D732
C73×#35482
#6275973