Finite Group Databasebeta

← #33968865

Subgroups — #33968865

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623930C211yesmaximal, characteristic, complemented
2#22623888C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622849C211yesmaximal, characteristic, complemented
5#22622630C211yesmaximal, characteristic, complemented
6#22622565C211yesmaximal, characteristic, complemented
7#22622511C211yesmaximal, characteristic, complemented
8#22622427C211yesmaximal, characteristic, complemented
9#22621879C211yesmaximal, characteristic, complemented
10#22621875C211yesmaximal, characteristic, complemented
11#22621868C211yesmaximal, characteristic, complemented
12#22621784C211yesmaximal, characteristic, complemented
13#22621775C211yesmaximal, characteristic, complemented
14#22621742C211yesmaximal, characteristic, complemented
15#22621548C211yesmaximal, characteristic, complemented
16#22621476C211yesmaximal, characteristic, complemented
17#22621468C211yesmaximal, characteristic, complemented
18#22620619C211yesmaximal, characteristic, complemented
19#22620615C211yesmaximal, characteristic, complemented
20#22620505C211yesmaximal, characteristic, complemented
21#22620198C211yesmaximal, characteristic, complemented
22#22620188C211yesmaximal, characteristic, complemented
23#22620176C211yesmaximal, characteristic, complemented
24#22620170C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22620077C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618761C211yesmaximal, characteristic, complemented
29#22618760C211yesmaximal, characteristic, complemented
30#22618702C211yesmaximal, characteristic, complemented
31C73×#3347C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556613C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989305C2211yescharacteristic
38#17989300C2211yescharacteristic
39#17989288—21no—
40#17989286—21no—
41#17989281C2211yescharacteristic, complemented
42#17989267—21no—
43#17989261—21no—
44#17989258C2211yescharacteristic, complemented
45#17989258C2211yescharacteristic, complemented
46#17989255—21no—
47#17989255C2211yescharacteristic
48#17989255C2211yescharacteristic, complemented
49#17989252C2211yescharacteristic
50#17989245—21no—
51#17989238C2211yescharacteristic
52#17989235—21no—
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989211C2211yescharacteristic
58#17989204C2211yescharacteristic
59#17989193C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989189—21no—
62#17989187—21no—
63#17989171—21no—
64#17989169—21no—
65#17989134—21no—
66#17989132C2211yescharacteristic
67#17989132C2211yescharacteristic, complemented
68#17989120—21no—
69#17989117C2211yescharacteristic
70#17989115—21no—
71#124×D73—21no—
72#17989068C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic
77#17989055C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988944C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988935C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic
97#17988890C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic
99#17988884C2211yescharacteristic
100#17988881C2211yescharacteristic, complemented
101#17988879C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988841C2211yescharacteristic
108#17988834C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic
111#17988823C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic
113#17988821C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988786C2211yescharacteristic
122#17988786C2211yescharacteristic, complemented
123#17988783C2211yescharacteristic
124#17988782C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic
126#17988781C2211yescharacteristic
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988734C2211yescharacteristic
132#17988734C2211yescharacteristic, complemented
133#17988733C2211yescharacteristic
134#17988730C2211yescharacteristic
135#17988730C2211yescharacteristic
136#17988730C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic
149#17988686C2211yescharacteristic
150#17988686C2211yescharacteristic, complemented
151#17988686C2211yescharacteristic, complemented
152#17988684C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic, complemented
154#17988681C2211yescharacteristic, complemented
155#17988681C2211yescharacteristic, complemented
156#17988674C2211yescharacteristic
157#17988674C2211yescharacteristic
158#17988674C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161C4×#11924016C2211yescharacteristic, complemented
162D8×Dic73C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic
164#17988669C2211yescharacteristic
165#17988669C2211yescharacteristic
166#17988669C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic
171#17988658C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988581C2211yescharacteristic
180#17988581C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic
195#478×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C2×Q8×D73—21no—
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215#14556619—24no—
216#14556615—24no—
217#14556613—24no—
218C2×Dic292C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C22×#10596831C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556587—21no—
243#14556587—21no—
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586D411yescharacteristic
250#14556585—21no—
251#14556585—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556581D411yescharacteristic
259#14556580—21no—
260#14556579—21no—
261#14556579C2311yescharacteristic
262#14556578—21no—
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556575—21no—
276#14556575D411yescharacteristic
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572D411yescharacteristic
285#14556571C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568D411yescharacteristic
292#14556567—21no—
293#14556567—21no—
294#14556566—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563D411yescharacteristic
319#14556562—21no—
320#14556562—21no—
321#14556561—21no—
322#14556559—21no—
323#14556559—21no—
324#14556559—21no—
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548C2311yescharacteristic
374#14556547—21no—
375C2×#11924007—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C42×D73—21no—
386C42×D73—21no—
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#124×C73—21no—
445#124×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—22no—
485#11924028—22no—
486#11924028—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490#11924028—82no—
491#11924027—22no—
492#11924027—41no—
493#11924027—82no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—82no—
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73C2×D411yescharacteristic
529C2×C22⋊D73C2×D411yescharacteristic
530D4×D73—22no—
531D4×D73—41no—
532D4×D73—82no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73C2×D411yescharacteristic
537C22×Dic73C2×D411yescharacteristic
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73C2411yescharacteristic
553Dic292—22no—
554#11924017—22no—
555#11924017—22no—
556#11924017—41no—
557#11924017#4114yescomplemented
558#11924016—22no—
559#11924016—41no—
560D584—22no—
561D584—22no—
562D584—22no—
563D584—41no—
564#11924013—22no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924011—22no—
569C2×#10596831—41no—
570C2×#10596831—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2×D411yescharacteristic
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659D8×C73—22no—
660M16×C73—22no—
661C2×C8×C73—22no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73C22×D411yescharacteristic
707Q8×C73—81no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—41no—
713D4×C73—81no—
714D4×C73—81no—
715D4×C73—81no—
716D4×C73—81no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C2×Dic73—21no—
752C2×Dic73—22no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—41no—
757C2×Dic73—42no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—42no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292C2×#4112yes—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797Dic146—21no—
798Dic146—22no—
799Dic146—21no—
800Dic146—21no—
801Dic146—42no—
802Dic146—42no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—22no—
829C2×D73—21no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—22no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—41no—
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73D4×#4111yescharacteristic
872C2×C73C2×#57611yescharacteristic
873C2×C73#358411yescharacteristic
874D73—41no—
875D73—42no—
876D73—81no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347D7311yescharacteristic, complemented
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297—731no—
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268—731no—
897#3179—731no—
898#3179—731no—
899#3169—731no—
900#3124—731no—
901#3124—731no—
902#3122—731no—
903#3122—731no—
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×#135—731no—
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555C2×D7311yescharacteristic
919#553—731no—
920#553—1461no—
921#553—1461no—
922#553C2×D7311yescharacteristic, complemented
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—731no—
929#550—1461no—
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—731no—
936#546—1461no—
937D42—731no—
938#542—731no—
939#542—731no—
940#540—731no—
941#540—731no—
942#540—1461no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520—731no—
955#518—731no—
956#518—731no—
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501C2×D7311yescharacteristic, complemented
961#500—731no—
962#496—731no—
963#496—731no—
964#493—731no—
965#488—731no—
966#488—731no—
967#486—731no—
968#486—731no—
969#486—731no—
970#486—731no—
971#484—731no—
972#484—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482C2×D7311yescharacteristic, complemented
979#482C2×D7311yescharacteristic, complemented
980#482C2×D7311yescharacteristic, complemented
981#480—731no—
982#480C2×D7311yescharacteristic
983#478—731no—
984#478—731no—
985#478—731no—
986#478C2×D7311yescharacteristic, complemented
987#477—731no—
988#477—731no—
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474C2×D7311yescharacteristic, complemented
995#469—731no—
996#469C2×D7311yescharacteristic
997#468—731no—
998#468—731no—
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466C2×D7311yescharacteristic, complemented
1005#465—731no—
1006#465—731no—
1007#464—731no—
1008#464—731no—
1009#463—731no—
1010#463—731no—
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#452—731no—
1020#452—731no—
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442C2×D7311yescharacteristic, complemented
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061#436—731no—
1062#435—731no—
1063#435C2×D7311yescharacteristic, complemented
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067#433—731no—
1068#433—731no—
1069#432—731no—
1070#428—731no—
1071#428C2×D7311yescharacteristic, complemented
1072#427C2×D7311yescharacteristic, complemented
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077C2×#102—731no—
1078C2×#102—731no—
1079#405—731no—
1080#405—731no—
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41—1461no—
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—731no—
1093C22×D4—1461no—
1094AGL(1,ℤ/8)—1464no—
1095AGL(1,ℤ/8)—1464no—
1096#135—1464no—
1097C2×Q16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16C22×D7311yescharacteristic
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8C22×D7311yescharacteristic
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123C4⋊Q8C22×D7311yescharacteristic
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—731no—
1128#127—1461no—
1129#127—1461no—
1130#127—1461no—
1131#126—21no—
1132#126—731no—
1133#126—731no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—731no—
1147#124—731no—
1148#124—731no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×D4—21no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—21no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117C22×D7311yescharacteristic
1275#117C22×D7311yescharacteristic
1276#117C22×D7311yescharacteristic
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—1461no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107C22×D7311yescharacteristic
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106C22×D7311yescharacteristic
1303#106C22×D7311yescharacteristic
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350#97—731no—
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C24—1461no—
1361C24—1461no—
1362#41—2921no—
1363#41—2921no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—5842no—
1369#41—5842no—
1370#41—1462no—
1371#41—1462no—
1372#41—1462no—
1373#41—1462no—
1374C2×Q8—21no—
1375C2×Q8—5842no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—731no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—5842no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—1462no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4D4×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444C22×C4C23×D7311yescharacteristic
1445Q16—1462no—
1446SD16—2921no—
1447SD16—2921no—
1448SD16—734no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—2921no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—22no—
1462M16—1462no—
1463C2×C8—22no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—2921no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4D4×D7311yescharacteristic
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—2922no—
1574C23—2922no—
1575C23—5841no—
1576C23—5841no—
1577C23—5841no—
1578C23—5841no—
1579C23—731no—
1580C23—1461no—
1581C23—1461no—
1582C23—1461no—
1583C23—1461no—
1584C23C2×D4×D7311yescharacteristic
1585C23C2×D4×D7311yescharacteristic
1586Q8—81no—
1587Q8—2922no—
1588Q8—2922no—
1589Q8—5841no—
1590Q8—732no—
1591Q8—1462no—
1592Q8—1461no—
1593Q8—1461no—
1594Q8—1461no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—2921no—
1611D4—2922no—
1612D4—2922no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—732no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2921no—
1653C2×C4—2922no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1462no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8#41×D7312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—11682no—
1716C22—11682no—
1717C22—1461no—
1718C22—1462no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—732no—
1736C4—1461no—
1737C4—1461no—
1738C4—1462no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#41×D7311yescharacteristic
1744C4#1798942411yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—2922no—
1750C2—2921no—
1751C2—5841no—
1752C2—5841no—
1753C2—5841no—
1754C2#2262341811yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3347C2
socleC22×C73C23×D4
hypercenter#3347D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #22623930C2semidirect
2. #22623888C2semidirect
3. #22622974C2semidirect
4. #22622849C2semidirect
5. #22622630C2semidirect
6. #22622565C2semidirect
7. #22622511C2semidirect
8. #22622427C2semidirect
9. #22621879C2semidirect
10. #22621875C2semidirect
11. #22621868C2semidirect
12. #22621784C2semidirect
13. #22621775C2semidirect
14. #22621742C2semidirect
15. #22621548C2semidirect
16. #22621476C2semidirect
17. #22621468C2semidirect
18. #22620619C2semidirect
19. #22620615C2semidirect
20. #22620505C2semidirect
21. #22620198C2semidirect
22. #22620188C2semidirect
23. #22620176C2semidirect
24. #22620170C2semidirect
25. #22620077C2semidirect
26. #22620077C2semidirect
27. #22618901C2semidirect
28. #22618761C2semidirect
29. #22618760C2semidirect
30. #22618702C2semidirect
31. C73×#3347C2semidirect
36. #17989314C22semidirect
41. #17989281C22semidirect
44. #17989258C22semidirect
45. #17989258C22semidirect
48. #17989255C22semidirect
59. #17989193C22semidirect
60. #17989190C22semidirect
67. #17989132C22semidirect
72. #17989068C22semidirect
73. #17989066C22semidirect
77. #17989055C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988976C22semidirect
81. #17988975C22semidirect
83. #17988944C22semidirect
84. #17988940C22semidirect
85. #17988935C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988924C22semidirect
90. #17988922C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988911C22semidirect
97. #17988890C22semidirect
100. #17988881C22semidirect
101. #17988879C22semidirect
102. #17988871C22semidirect
103. #17988871C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
108. #17988834C22semidirect
109. #17988833C22semidirect
111. #17988823C22semidirect
113. #17988821C22semidirect
114. #17988821C22semidirect
115. #17988817C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988802C22semidirect
120. #17988801C22semidirect
122. #17988786C22semidirect
124. #17988782C22semidirect
128. #17988781C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
132. #17988734C22semidirect
136. #17988730C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
147. #17988696C22semidirect
150. #17988686C22semidirect
151. #17988686C22semidirect
152. #17988684C22semidirect
153. #17988684C22semidirect
154. #17988681C22semidirect
155. #17988681C22semidirect
158. #17988674C22semidirect
159. #17988674C22semidirect
160. #17988674C22semidirect
161. C4×#11924016C22semidirect
162. D8×Dic73C22semidirect
166. #17988669C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
171. #17988658C22semidirect
172. D4×#10596831C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988626C22semidirect
180. #17988581C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
187. C2×C8×Dic73C22semidirect
189. #553×C73C22semidirect
190. #501×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #482×C73C22semidirect
195. #478×C73C22semidirect
196. #474×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
557. #11924017#41semidirect
887. #3347D73semidirect
910. C73#61494semidirect
922. #553C2×D73semidirect
960. #501C2×D73semidirect
978. #482C2×D73semidirect
979. #482C2×D73semidirect
980. #482C2×D73semidirect
986. #478C2×D73semidirect
994. #474C2×D73semidirect
1004. #466C2×D73semidirect
1038. #442C2×D73semidirect
1063. #435C2×D73semidirect
1071. #428C2×D73semidirect
1072. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239302
#226238882
#226229742
#226228492
#226226302
#226225652
#226225112
#226224272
#226218792
#226218752
#226218682
#226217842
#226217752
#226217422
#226215482
#226214762
#226214682
#226206192
#226206152
#226205052
#226201982
#226201882
#226201762
#226201702
#226200772
#226189012
#226187612
#226187602
#226187022
C73×#33472
#6149473